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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" article-type="research-article"><?properties open_access?><front><journal-meta><journal-id journal-id-type="nlm-ta">Environ Health Perspect</journal-id><journal-id journal-id-type="iso-abbrev">Environ. Health Perspect</journal-id><journal-id journal-id-type="publisher-id">EHP</journal-id><journal-title-group><journal-title>Environmental Health Perspectives</journal-title></journal-title-group><issn pub-type="ppub">0091-6765</issn><issn pub-type="epub">1552-9924</issn><publisher><publisher-name>Environmental Health Perspectives</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="pmid">28974480</article-id><article-id pub-id-type="pmc">5933403</article-id><article-id pub-id-type="publisher-id">EHP1612</article-id><article-id pub-id-type="doi">10.1289/EHP1612</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research</subject></subj-group></article-categories><title-group><article-title>Plasma Concentrations of Per- and Polyfluoroalkyl Substances at Baseline and Associations with Glycemic Indicators and Diabetes Incidence among High-Risk Adults in the Diabetes Prevention Program Trial</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Cardenas</surname><given-names>Andres</given-names></name><xref ref-type="aff" rid="a1"><sup>1</sup></xref></contrib><contrib contrib-type="author"><name><surname>Gold</surname><given-names>Diane R.</given-names></name><xref ref-type="aff" rid="a2"><sup>2</sup></xref><xref ref-type="aff" rid="a3"><sup>3</sup></xref></contrib><contrib contrib-type="author"><name><surname>Hauser</surname><given-names>Russ</given-names></name><xref ref-type="aff" rid="a3"><sup>3</sup></xref></contrib><contrib contrib-type="author"><name><surname>Kleinman</surname><given-names>Ken P.</given-names></name><xref ref-type="aff" rid="a4"><sup>4</sup></xref></contrib><contrib contrib-type="author"><name><surname>Hivert</surname><given-names>Marie-France</given-names></name><xref ref-type="aff" rid="a1"><sup>1</sup></xref><xref ref-type="aff" rid="a5"><sup>5</sup></xref></contrib><contrib contrib-type="author"><name><surname>Calafat</surname><given-names>Antonia M.</given-names></name><xref ref-type="aff" rid="a6"><sup>6</sup></xref></contrib><contrib contrib-type="author"><name><surname>Ye</surname><given-names>Xiaoyun</given-names></name><xref ref-type="aff" rid="a6"><sup>6</sup></xref></contrib><contrib contrib-type="author"><name><surname>Webster</surname><given-names>Thomas F.</given-names></name><xref ref-type="aff" rid="a7"><sup>7</sup></xref></contrib><contrib contrib-type="author"><name><surname>Horton</surname><given-names>Edward S.</given-names></name><xref ref-type="aff" rid="a8"><sup>8</sup></xref></contrib><contrib contrib-type="author" corresp="yes"><name><surname>Oken</surname><given-names>Emily</given-names></name><xref ref-type="aff" rid="a1"><sup>1</sup></xref></contrib><aff id="a1"><label><sup>1</sup></label>Division of Chronic Disease Research Across the Lifecourse, Department of Population Medicine, <institution>Harvard Medical School and Harvard Pilgrim HealthCare Institute</institution>, Boston, Massachusetts, <country>USA</country></aff><aff id="a2"><label><sup>2</sup></label>Channing Laboratory, Brigham and Women's Hospital, Boston, Massachusetts, <country>USA</country></aff><aff id="a3"><label><sup>3</sup></label>Department of Environmental Health, Harvard T.H. Chan School of Public Health, Boston, Massachusetts, <country>USA</country></aff><aff id="a4"><label><sup>4</sup></label>Department of Biostatistics, School of Public Health and Human Sciences, <institution>University of Massachusetts Amherst</institution>, Amherst, Massachusetts, <country>USA</country></aff><aff id="a5"><label><sup>5</sup></label><institution>Diabetes Unit</institution>, Massachusetts General Hospital, Boston, Massachusetts, <country>USA</country></aff><aff id="a6"><label><sup>6</sup></label>Division of Laboratory Sciences, <institution>National Center for Environmental Health, Centers for Disease Control and Prevention</institution>, Atlanta, Georgia, <country>USA</country></aff><aff id="a7"><label><sup>7</sup></label>Department of Environmental Health, <institution>Boston University School of Public Health</institution>, Boston, Massachusetts, <country>USA</country></aff><aff id="a8"><label><sup>8</sup></label><institution>Joslin Diabetes Center, Harvard Medical School</institution>, Boston, Massachusetts, <country>USA</country></aff></contrib-group><author-notes><corresp id="cor1">Address correspondence to E. Oken, Obesity Prevention Program, Harvard Medical School and Harvard Pilgrim HealthCare Institute, Dept. of Population Medicine, 401 Park Dr. Suite 401, Boston, MA 02215 USA. Telephone: (617) 867-4879. Email: <email>Emily_oken@hphc.org</email></corresp></author-notes><pub-date pub-type="epub"><day>02</day><month>10</month><year>2017</year></pub-date><pub-date pub-type="collection"><month>10</month><year>2017</year></pub-date><volume>125</volume><issue>10</issue><elocation-id>107001</elocation-id><history><date date-type="received"><day>12</day><month>1</month><year>2017</year></date><date date-type="rev-recd"><day>03</day><month>8</month><year>2017</year></date><date date-type="accepted"><day>04</day><month>8</month><year>2017</year></date></history><permissions><license license-type="public-domain"><license-p><italic>EHP</italic> is an open-access journal published with support from the National Institute of Environmental Health Sciences, National Institutes of Health. All content is public domain unless otherwise noted.</license-p></license></permissions><self-uri content-type="pdf" xlink:href="EHP1612.alt.pdf"/><abstract><sec><title>Background:</title><p>Several per- and polyfluoroalkyl substances (PFAS) are ubiquitous anthropogenic pollutants almost universally detected in humans. Experimental evidence indicates that PFAS alter glucose metabolism and insulin secretion. However, epidemiological studies have yielded inconsistent results.</p></sec><sec><title>Objective:</title><p>We sought to examine associations between plasma PFAS concentrations, glycemic indicators, and diabetes incidence among high-risk adults.</p></sec><sec><title>Methods:</title><p>Within the Diabetes Prevention Program (DPP), a trial for the prevention of type 2 diabetes among high-risk individuals, we quantified baseline plasma concentrations of nine PFAS among 957 participants randomized to a lifestyle intervention or placebo. We evaluated adjusted associations for plasma PFAS concentrations with diabetes incidence and key glycemic indicators measured at baseline and annually over up to 4.6 y.</p></sec><sec><title>Results:</title><p>Plasma PFAS concentrations were similar to those reported in the U.S. population in 1999&#x02013;2000. At baseline, in cross-sectional analysis, a doubling in plasma perfluorooctanesulfonic acid (PFOS) and perfluorooctanoic acid (PFOA) concentrations was associated with higher homeostatic model assessment of insulin resistance (HOMA-IR) [<inline-formula><mml:math id="M1"><mml:mrow><mml:msub><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mrow><mml:mtext>PFOS</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.39</mml:mn></mml:mrow></mml:math></inline-formula>; 95% confidence interval (CI): 0.13, 0.66; <inline-formula><mml:math id="M2"><mml:mrow><mml:msub><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mrow><mml:mtext>PFOA</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.64</mml:mn></mml:mrow></mml:math></inline-formula>; 95% CI: 0.34, 0.94], <inline-formula><mml:math id="M3"><mml:mrow><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mo>-</mml:mo><mml:mtext>cell</mml:mtext></mml:mrow></mml:math></inline-formula> function (<inline-formula><mml:math id="M4"><mml:mrow><mml:mtext>HOMA</mml:mtext><mml:mo>-</mml:mo><mml:mi mathvariant="normal">&#x003b2;</mml:mi></mml:mrow></mml:math></inline-formula>) (<inline-formula><mml:math id="M5"><mml:mrow><mml:msub><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mrow><mml:mtext>PFOS</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>9.62</mml:mn></mml:mrow></mml:math></inline-formula>; 95% CI: 1.55, 17.70; <inline-formula><mml:math id="M6"><mml:mrow><mml:msub><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mrow><mml:mtext>PFOA</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>15.93</mml:mn></mml:mrow></mml:math></inline-formula>; 95% CI: 6.78, 25.08), fasting proinsulin (<inline-formula><mml:math id="M7"><mml:mrow><mml:msub><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mrow><mml:mtext>PFOS</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1.37</mml:mn><mml:mtext>&#x02009;</mml:mtext><mml:mtext>pM</mml:mtext></mml:mrow></mml:math></inline-formula>; 95% CI: 0.50, 2.25; <inline-formula><mml:math id="M8"><mml:mrow><mml:msub><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mrow><mml:mtext>PFOA</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1.71</mml:mn><mml:mtext>&#x02009;</mml:mtext><mml:mtext>pM</mml:mtext></mml:mrow></mml:math></inline-formula>; 95% CI: 0.72, 2.71), and glycated hemoglobin (<inline-formula><mml:math id="M9"><mml:mrow><mml:msub><mml:mrow><mml:mtext>HbA</mml:mtext></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) (<inline-formula><mml:math id="M10"><mml:mrow><mml:msub><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mrow><mml:mtext>PFOS</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.03</mml:mn><mml:mo>%</mml:mo></mml:mrow></mml:math></inline-formula>; 95% CI: 0.002, 0.07; <inline-formula><mml:math id="M11"><mml:mrow><mml:msub><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mrow><mml:mtext>PFOA</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.04</mml:mn><mml:mo>%</mml:mo></mml:mrow></mml:math></inline-formula>; 95% CI: 0.001, 0.07). There was no strong evidence of associations between plasma PFAS concentrations and diabetes incidence or prospective changes in glycemic indicators during the follow-up period.</p></sec><sec><title>Conclusions:</title><p>At baseline, several PFAS were cross-sectionally associated with small differences in markers of insulin secretion and <inline-formula><mml:math id="M12"><mml:mrow><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mo>-</mml:mo><mml:mtext>cell</mml:mtext></mml:mrow></mml:math></inline-formula> function. However, there was limited evidence suggesting that PFAS concentrations are associated with diabetes incidence or changes in glycemic indicators during the follow-up period. <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1289/EHP1612">https://doi.org/10.1289/EHP1612</ext-link></p></sec></abstract></article-meta><fn-group><fn fn-type="other"><p>Supplemental Material is available online (<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.1289/EHP1612">https://doi.org/10.1289/EHP1612</ext-link>).</p></fn><fn fn-type="other"><p>The authors declare they have no actual or potential competing financial interests.</p></fn><fn fn-type="other"><p>The findings and conclusions in this report are those of the authors and do not necessarily represent the official position of the Centers for Disease Control and Prevention (CDC). Use of trade names is for identification only and does not imply endorsement by the CDC, the Public Health Service, or the U.S. Department of Health and Human Services.</p></fn><fn fn-type="other"><p><bold>Note to readers with disabilities:</bold>
<italic>EHP</italic> strives to ensure that all journal content is accessible to all readers. However, some figures and Supplemental Material published in <italic>EHP</italic> articles may not conform to <ext-link ext-link-type="uri" xlink:href="http://ehp.niehs.nih.gov/accessibility/">508 standards</ext-link> due to the complexity of the information being presented. If you need assistance accessing journal content, please contact <email>ehponline@niehs.nih.gov</email>. Our sta&#x0fb00; will work with you to assess and meet your accessibility needs within 3 working days.</p></fn></fn-group></front><body><sec id="s1"><title>Introduction</title><p>Per- and polyfluoroalkyl substances (PFAS) are a group of fluorinated synthetic chemicals used in consumer products and industrial applications for their stain, grease, and water-repellent properties. In the 1950s, widescale production and use of PFAS started in many industrialized countries with a total estimated production of 3,200 to <inline-formula><mml:math id="M13"><mml:mrow><mml:mn>7,300</mml:mn><mml:mtext>&#x02009;</mml:mtext><mml:mtext>tons</mml:mtext></mml:mrow></mml:math></inline-formula> by 2006 (<xref rid="c45" ref-type="bibr">Prevedouros et al. 2006</xref>). Given their widespread use and chemical stability, several PFAS are ubiquitous and persistent in the environment, even found in remote areas including the Arctic (<xref rid="c6" ref-type="bibr">Butt et al. 2010</xref>). PFAS also have long elimination half-lives in humans, estimated to range from 3.5 to 8.5 y, depending on the compound (<xref rid="c43" ref-type="bibr">Olsen et al. 2007</xref>). Human exposure to PFAS occurs mainly through the consumption of contaminated food and drinking water, or exposure to dust and commercial products such as food packaging containing PFAS (<xref rid="c9" ref-type="bibr">D&#x02019;eon and Mabury 2011</xref>; <xref rid="c17" ref-type="bibr">Fraser et al. 2011</xref>). Biomonitoring results from the National Health and Nutrition Examination Surveys (NHANES) indicate that nearly the entire U.S. general population (<inline-formula><mml:math id="M14"><mml:mrow><mml:mo>&#x0003e;</mml:mo><mml:mn>95</mml:mn><mml:mo>%</mml:mo></mml:mrow></mml:math></inline-formula>) has detectable serum concentrations of several PFAS, including perfluorooctanesulfonic acid (PFOS), perfluorooctanoic acid (PFOA), perfluorohexane sulfonic acid (PFHxS), and perfluorononanoic acid (PFNA) (<xref rid="c7" ref-type="bibr">CDC 2017</xref>).</p><p>By 2002, the leading manufacturer of PFOS and perfluorooctanesulfonyl fluoride&#x02013;related materials, the 3M corporation, had voluntarily phased out production of its perfluorooctanyl chemistry, which was used to produce PFOS and related compounds (<xref rid="c5" ref-type="bibr">Butenhoff et al. 2006</xref>). In 2006, eight other PFAS manufacturers joined the U.S. Environmental Protection Agency PFOA stewardship program to reduce production and emission of PFOA and its precursors by 2015 (<xref rid="c51" ref-type="bibr">U.S. EPA 2015</xref>). However, the production of PFOS, PFOA, and other PFAS precursors continues to increase in China and continental Asia (<xref rid="c27" ref-type="bibr">Jin et al. 2007</xref>; <xref rid="c32" ref-type="bibr">Land et al. 2015</xref>; <xref rid="c54" ref-type="bibr">Xie et al. 2013</xref>).</p><p>Health concerns related to PFAS exposure include endocrine disruption, altered lipid metabolism, and immunotoxicity (<xref rid="c57" ref-type="bibr">Khalil et al. 2015</xref>). In addition, several epidemiological studies have investigated associations of PFAS exposure with diabetes and markers of insulin secretion and insulin resistance (<xref rid="c8" ref-type="bibr">Conway et al. 2016</xref>; <xref rid="c37" ref-type="bibr">Lind et al. 2014</xref>; <xref rid="c40" ref-type="bibr">MacNeil et al. 2009</xref>; <xref rid="c48" ref-type="bibr">Steenland et al. 2010</xref>; <xref rid="c49" ref-type="bibr">Su et al. 2016</xref>). However, these studies have yielded inconsistent results, with some studies reporting positive associations, no associations, or even protective associations of some PFAS. These studies are limited due to their cross-sectional nature, quantification of a few PFAS, relatively small sample sizes, and limited outcomes measured. Given that cross-sectional studies have important limitations, such as the potential for reverse causation whereby altered metabolic health may affect PFAS elimination, there is the need for prospective epidemiological studies (<xref rid="c53" ref-type="bibr">Weisskopf and Webster 2017</xref>).</p><p>In the present study, we examined the association of plasma PFAS concentrations with diabetes incidence within the Diabetes Prevention Program (DPP) study, an adult population at high risk of type 2 diabetes. Furthermore, we evaluated the association of PFAS concentrations quantified at baseline with key baseline metabolic and glycemic measurements, such as homeostatic model assessments for insulin resistance (HOMA-IR), <inline-formula><mml:math id="M15"><mml:mrow><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mo>-</mml:mo><mml:mtext>cell</mml:mtext></mml:mrow></mml:math></inline-formula> function (<inline-formula><mml:math id="M16"><mml:mrow><mml:mtext>HOMA</mml:mtext><mml:mo>-</mml:mo><mml:mi mathvariant="normal">&#x003b2;</mml:mi></mml:mrow></mml:math></inline-formula>), fasting proinsulin, corrected insulin response, insulinogenic index, glycated hemoglobin (<inline-formula><mml:math id="M17"><mml:mrow><mml:msub><mml:mrow><mml:mtext>HbA</mml:mtext></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), and adiponectin, as well as glucose and insulin levels following oral glucose tolerance testing (OGTT). We also examined whether baseline PFAS concentrations were associated with longitudinal changes among these glycemic measurements over 2 to 5 y of follow-up. We hypothesized that higher plasma PFAS concentrations at baseline would be associated with diabetes incidence, as well as higher measures of insulin resistance at the same time point. Furthermore, we hypothesized that higher plasma PFAS concentrations at baseline would be associated with an increase in insulin resistance markers over the follow-up study period. Lastly, we evaluated effect modification by treatment assignment for diabetes incidence and changes in glycemic indicators during follow-up.</p></sec><sec id="s2"><title>Methods</title><sec id="s2.1"><title>Study Population</title><p>Study subjects were participants in the DPP, a multicenter randomized clinical trial of individuals at high risk of developing type 2 diabetes, recruited between July of 1996 and May 1999. Inclusion criteria included at least 25 y of age, a body mass index (BMI) of <inline-formula><mml:math id="M18"><mml:mrow><mml:mn>24</mml:mn><mml:msup><mml:mrow><mml:mtext>&#x02009;</mml:mtext><mml:mi mathvariant="normal">kg</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> or greater (22 or higher for Asians), and a fasting glucose concentration of 95 to <inline-formula><mml:math id="M19"><mml:mrow><mml:mn>125</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">mg</mml:mi><mml:mo>/</mml:mo><mml:mtext>dL</mml:mtext></mml:mrow></mml:math></inline-formula> and 140 to <inline-formula><mml:math id="M20"><mml:mrow><mml:mn>199</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">mg</mml:mi><mml:mo>/</mml:mo><mml:mtext>dL</mml:mtext></mml:mrow></mml:math></inline-formula> 2 h after a <inline-formula><mml:math id="M21"><mml:mrow><mml:mn>75</mml:mn><mml:mo>-</mml:mo><mml:mtext>gram</mml:mtext></mml:mrow></mml:math></inline-formula> oral glucose load. The DPP trial recruited participants from 27 clinical centers across the United States and randomly assigned them to three study arms: a lifestyle intervention group receiving intensive training in diet, physical activity, and behavior modification; a pharmacological intervention group receiving <inline-formula><mml:math id="M22"><mml:mrow><mml:mn>850</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">mg</mml:mi></mml:mrow></mml:math></inline-formula> of metformin (Glucophage); or a placebo-treated control group (<xref rid="c31" ref-type="bibr">Knowler et al. 2002</xref>). Participants assigned to the placebo and metformin arms of the trial received standard information about diet and exercise, but no intensive or motivational counseling. The original aims and design of the study have been extensively described elsewhere (<xref rid="c12" ref-type="bibr">Diabetes Prevention Program Research Group 1999</xref>). The study was terminated in May of 2001, 1 y early, due to efficacy on type 2 diabetes prevention of both the lifestyle intervention and pharmacological intervention arms of the trial.</p><p>The current study was restricted to individuals in the intensive lifestyle intervention and the placebo-treated control arm of the trial with available stored plasma samples collected at baseline. We did not include the metformin-treated group due to the potential interaction between PFAS and the pharmacological intervention on health outcomes and lack of experimental data on this issue. Furthermore, metformin&#x02019;s influence on PFAS kinetics is unknown. A total of 957 participants were eligible for quantification of plasma PFAS. The institutional review board at each clinical center approved the protocol, and all participants provided written informed consent for DPP. For the current analyses, the Institutional Review Board of Harvard Pilgrim Health Care reviewed and approved all study protocols. The involvement of the Centers for Disease Control and Prevention (CDC) laboratory did not constitute engagement in human subjects research.</p></sec><sec id="s2.2"><title>Per- and Polyfluoroalkyl Substances Plasma Concentrations</title><p>Blood was collected at baseline and plasma was stored at the National Institute of Diabetes and Digestive and Kidney Diseases (NIDDK) central repository. Plasma samples were shipped from the NIDDK central repository to the CDC for analyses. Briefly, a modification of the online solid-phase extraction&#x02013;high-performance liquid chromatography coupled to isotope dilution&#x02013;tandem mass spectrometry approach described previously (<xref rid="c29" ref-type="bibr">Kato et al. 2011</xref>) was used to measure: linear PFOS (n-PFOS), sum of perfluoromethylheptane sulfonic acid isomers (Sm-PFOS), sum of perfluorodimethylhexane sulfonic acid isomers (Sm2-PFOS); linear PFOA (n-PFOA), sum of perfluoromethylheptanoic and perfluorodimethylhexanoic acids (Sb-PFOA); PFHxS, <italic>N</italic>-ethyl-perfluorooctane sulfonamido acetic acid (Et-PFOSA-AcOH; also known as EtFOSAA), <italic>N</italic>-methyl-perfluorooctane sulfonamido acetic acid (Me-PFOSA-AcOH; also known as MeFOSAA), and perfluorononanoic acid (PFNA). The limit of detection (LOD) was <inline-formula><mml:math id="M23"><mml:mrow><mml:mn>0.1</mml:mn><mml:mtext>&#x02009;</mml:mtext><mml:mtext>ng</mml:mtext><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> for all PFAS examined.</p><p>We summed branched and linear isomers of PFOS (n-PFOS, Sm-PFOS, Sm2-PFOS) and PFOA (n-PFOA, Sb-PFOA) to calculate total concentrations of PFOS and PFOA, respectively. Summing linear and branched isomers has been implemented in previous epidemiological studies as well as in the U.S. national report on human exposure to environmental chemicals, allowing for comparability with past and future studies (<xref rid="c7" ref-type="bibr">CDC 2017</xref>; <xref rid="c16" ref-type="bibr">Fleisch et al. 2017</xref>; <xref rid="c22" ref-type="bibr">Harris et al. 2017</xref>). The sum of isomers for PFOS and PFOA was performed prior to accounting for concentrations below the LOD. At least one of the isomers was always detectable for any given sample, and therefore, the sum of PFOS and PFOA isomers was 100% detectable across samples. All other PFAS concentrations below the LOD were replaced by the <inline-formula><mml:math id="M24"><mml:mrow><mml:mtext>LOD</mml:mtext><mml:mo>/</mml:mo><mml:mo>&#x0221a;</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math></inline-formula> (<xref rid="c24" ref-type="bibr">Hornung and Reed 1990</xref>).</p></sec><sec id="s2.3"><title>Outcome Measures</title><p>The primary outcome of the trial, as well as for the present study, was diabetes incidence by the end of the DPP follow-up period. Diabetes was prospectively diagnosed using either fasting plasma glucose levels at semiannual visits or an OGTT at the scheduled annual visits. Diabetes was defined as fasting glucose <inline-formula><mml:math id="M25"><mml:mrow><mml:mo>&#x02265;</mml:mo><mml:mn>140</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">mg</mml:mi><mml:mo>/</mml:mo><mml:mtext>dL</mml:mtext></mml:mrow></mml:math></inline-formula> or 2-h postchallenge glucose <inline-formula><mml:math id="M26"><mml:mrow><mml:mo>&#x02265;</mml:mo><mml:mn>200</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">mg</mml:mi><mml:mo>/</mml:mo><mml:mtext>dL</mml:mtext></mml:mrow></mml:math></inline-formula> for visits through 23 June 1997, and fasting glucose <inline-formula><mml:math id="M27"><mml:mrow><mml:mo>&#x02265;</mml:mo><mml:mn>126</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">mg</mml:mi><mml:mo>/</mml:mo><mml:mtext>dL</mml:mtext></mml:mrow></mml:math></inline-formula> or 2-h postchallenge glucose <inline-formula><mml:math id="M28"><mml:mrow><mml:mo>&#x02265;</mml:mo><mml:mn>200</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">mg</mml:mi><mml:mo>/</mml:mo><mml:mtext>dL</mml:mtext></mml:mrow></mml:math></inline-formula> for visits after 23 June 1997. If a participant had elevated glucose levels at the annual visit (fasting or 2-h glucose post-OGTT) or at midyear (fasting glucose only), diabetes was confirmed in a subsequent follow-up visit within 6 wk using the same method as the trigger visit (i.e., either OGTT or fasting glucose for annual and semiannual visits, respectively). A few participants had elevated glucose levels at a scheduled study visit, but diabetes was not confirmed at the subsequent follow-up visit; we referred to this event as first-fasting hyperglycemia.</p><p>The following laboratory measures related to metabolic function and glycemia were included in baseline and longitudinal analyses: fasting proinsulin (pM), fasting insulin (<inline-formula><mml:math id="M29"><mml:mrow><mml:mi mathvariant="normal">&#x003bc;</mml:mi><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula>), 30-min post-OGTT insulin (<inline-formula><mml:math id="M30"><mml:mrow><mml:mi mathvariant="normal">&#x003bc;</mml:mi><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula>), fasting plasma glucose (mg/dL), 30-min post-OGTT glucose (mg/dL), 2-h post-OGTT glucose (mg/dL), % glycated hemoglobin (<inline-formula><mml:math id="M31"><mml:mrow><mml:msub><mml:mrow><mml:mtext>HbA</mml:mtext></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), adiponectin (<inline-formula><mml:math id="M32"><mml:mrow><mml:mi mathvariant="normal">&#x003bc;</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M33"><mml:mrow><mml:mtext>HOMA</mml:mtext><mml:mo>-</mml:mo><mml:mtext>IR</mml:mtext><mml:mo>=</mml:mo><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mtext>fasting</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>insulin</mml:mtext><mml:mo>&#x000d7;</mml:mo><mml:mtext>fasting</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>glucose</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>/</mml:mo><mml:mn>18.01</mml:mn></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mo>/</mml:mo><mml:mn>22.5</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M34"><mml:mrow><mml:mtext>HOMA</mml:mtext><mml:mo>-</mml:mo><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>20</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:mtext>fasting</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>insulin</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>/</mml:mo><mml:mtext>fasting</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>glucose</mml:mtext><mml:mo>&#x02212;</mml:mo><mml:mn>3.5</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M35"><mml:mrow><mml:mtext>corrected</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>insulin</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>response</mml:mtext><mml:mo>=</mml:mo><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>100</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:mn>30</mml:mn><mml:mo>-</mml:mo><mml:mtext>min</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>insulin</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mn>30</mml:mn><mml:mo>-</mml:mo><mml:mtext>min</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>glucose</mml:mtext><mml:mo>&#x000d7;</mml:mo><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>30</mml:mn><mml:mo>-</mml:mo><mml:mtext>min</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>glucose</mml:mtext><mml:mo>&#x02212;</mml:mo><mml:mn>70</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">mg</mml:mi><mml:mo>/</mml:mo><mml:mtext>dL</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M36"><mml:mrow><mml:mtext>insulinogenic</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>index</mml:mtext><mml:mo>=</mml:mo><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>30</mml:mn><mml:mo>-</mml:mo><mml:mtext>min</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>insulin</mml:mtext><mml:mo>&#x02212;</mml:mo><mml:mtext>fasting</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>insulin</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>30</mml:mn><mml:mo>-</mml:mo><mml:mtext>min</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>glucose</mml:mtext><mml:mo>&#x02212;</mml:mo><mml:mtext>fasting</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>glucose</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mo>&#x000d7;</mml:mo><mml:mn>100</mml:mn></mml:mrow></mml:math></inline-formula>, and BMI measured at baseline. Laboratory measurements were evaluated annually from baseline, with the exception of adiponectin, which was only measured at baseline and at the first annual visit; fasting plasma glucose, which was measured semiannually; and <inline-formula><mml:math id="M37"><mml:mrow><mml:msub><mml:mrow><mml:mtext>HbA</mml:mtext></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, which was measured at baseline, 6 mo after baseline, and annually thereafter. Laboratory measures were taken prospectively at the scheduled visits until a participant received a diagnosis of diabetes or until the study was terminated in May of 2001. Analytical glycemic measurements were performed at a central laboratory (University of Washington, Seattle, WA) as previously described (<xref rid="c13" ref-type="bibr">Diabetes Prevention Program Research Group 2000</xref>).</p></sec><sec id="s2.4"><title>Covariates</title><p>Data were obtained from the NIDDK central database repository and linked to plasma concentrations using unique identifiers provided by the NIDDK repository. We extracted demographic characteristics such as participant sex, race/ethnicity, age, BMI, education, smoking history, marital status, and treatment assignment. To protect participants&#x02019; identities, age was only available in 5-y age groups with truncation of those <inline-formula><mml:math id="M38"><mml:mrow><mml:mo>&#x0003c;</mml:mo><mml:mn>40</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M39"><mml:mrow><mml:mo>&#x02265;</mml:mo><mml:mn>65</mml:mn></mml:mrow></mml:math></inline-formula> y of age. We calculated BMI in <inline-formula><mml:math id="M40"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">kg</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> for every subjects using the average of two or three weight measures reported in the initial data release and subsequently linking it to the average of two or three height measures from the NIDDK repository. We report educational attainment into <inline-formula><mml:math id="M41"><mml:mrow><mml:mo>&#x0003c;</mml:mo><mml:mtext>high</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>school</mml:mtext></mml:mrow></mml:math></inline-formula>, high school/GED, college graduate, and graduate school and greater. Self-reported smoking was obtained from baseline questionnaires and classified as never, former, and current smoker. Covariates were selected for adjustment <italic>a priori</italic>, and follow-up time was recorded as the number of days from randomization to the scheduled visit and transformed to years to ease interpretability.</p></sec><sec id="s2.5"><title>Statistical Analyses</title><p>We calculated geometric means (GMs) and interquartile ranges for all PFAS. For two of the most prevalent PFAS, PFOS and PFOA, we report their distributions across participant characteristics. We used a nonparametric Wilcoxon rank sum test and a Kruskal-Wallis test a to evaluate unadjusted exposure differences across participants&#x02019; characteristics. We calculated Spearman correlation coefficients among PFAS plasma concentrations.</p><p>The distribution of all PFAS plasma concentrations were right skewed, and therefore, we <inline-formula><mml:math id="M42"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">log</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mtext>transformed</mml:mtext></mml:mrow></mml:math></inline-formula> them for statistical analyses (log base 2). We used adjusted linear regression models to estimate associations of individual baseline PFAS plasma concentrations with baseline metabolic and glycemic clinical measurements adjusting for sex, race/ethnicity, BMI (continuous), age (categorical), marital status, education, and smoking history. Additionally, we used longitudinal mixed-effects regression models with random intercepts and slopes to estimate the association of baseline plasma PFAS concentrations with prospective metabolic and glycemic clinical measurements to test if concentrations at baseline influenced glycemic or metabolic changes over the study period. Longitudinal mixed models included the fixed effects of plasma PFAS independently, sex, race/ethnicity, BMI (continuous), age (categorical), marital status, education, and smoking history as well as treatment arm and follow-up time in years. Visual inspection of scatterplots for the glycemic outcomes over the study period suggested nonlinear time trends. Therefore, we also included the fixed effects of follow-up time squared as well as the interaction between treatment and follow-up time and treatment and follow-up time squared as necessary. We report the longitudinal association for each PFAS separately with glycemic outcomes using a two-way interaction between follow-up time in years and <inline-formula><mml:math id="M43"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">log</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mtext>PFAS</mml:mtext></mml:mrow></mml:math></inline-formula> plasma concentrations measured at baseline, using repeated measures models. A second longitudinal model tested the two-way interaction between PFAS at baseline and treatment assignment to evaluate effect modification by treatment over time. Lastly, a third longitudinal regression model tested the prospective association between baseline plasma PFAS concentrations over time by treatment using a three-way interaction of each individual PFAS, follow-up time, and treatment assignment whenever there was a significant interaction between treatment and follow-up time. Additionally, longitudinal models for HOMA-IR, <inline-formula><mml:math id="M44"><mml:mrow><mml:mtext>HOMA</mml:mtext><mml:mo>-</mml:mo><mml:mi mathvariant="normal">&#x003b2;</mml:mi></mml:mrow></mml:math></inline-formula>, fasting insulin, fasting glucose, and <inline-formula><mml:math id="M45"><mml:mrow><mml:msub><mml:mrow><mml:mtext>HbA</mml:mtext></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> included two-way interactions between follow-up time and treatment as well as follow-up time squared and treatment. The fasting proinsulin model only required an interaction between follow-up time and treatment. The corrected insulin response model did not require any interactions between follow-up time and treatment. Changes in adiponectin from baseline to the first-year follow-up were modeled using linear regression adjusted for baseline covariates. Longitudinal regression model equations used are specified in Appendix A of the Supplemental Material.</p><p>We used Cox proportional hazards models to estimate hazard ratios (HRs) and 95% confidence intervals (95% CI) for the risk of developing diabetes relative to plasma baseline <inline-formula><mml:math id="M46"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">log</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mtext>PFAS</mml:mtext></mml:mrow></mml:math></inline-formula> concentrations adjusted for participant&#x02019;s sex, race/ethnicity, BMI (continuous), age (categorical), marital status, education, smoking history, and treatment assignment. We evaluated effect modification by treatment assignment by stratifying on treatment group as well as testing for statistical interaction of each PFAS and treatment. Kaplan-Meier survival plots were generated for PFAS observed to be significantly associated with diabetes incidence. We also conducted a secondary analysis for time to first-fasting hyperglycemia using Cox proportional hazards models for participants for which a trigger visit for elevated glucose was not confirmed during the subsequent follow-up visit (<inline-formula><mml:math id="M47"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mi>e</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>47</mml:mn></mml:mrow></mml:math></inline-formula>). The proportional hazards assumption was evaluated by inspecting the Schoenfeld residuals and using a global test of the proportional hazards assumption.</p><p>We evaluated effect modification between baseline PFAS plasma concentrations and treatment assignment by testing the interaction term in longitudinal models. We also considered three-way interactions between each individual PFAS, time squared, and treatment arm in longitudinal models (results not shown). Data management and analyses were performed using R (version 3.3.0; R Development Core Team).</p></sec></sec><sec id="s3"><title>Results</title><sec id="s3.1"><title>Participant Characteristics and Plasma Per- and Polyfluoroalkyl Substances at Baseline</title><p>From the 2,054 total participants randomized to the lifestyle intervention (<inline-formula><mml:math id="M48"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>1,024</mml:mn></mml:mrow></mml:math></inline-formula>) or the placebo-control group (<inline-formula><mml:math id="M49"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>1,030</mml:mn></mml:mrow></mml:math></inline-formula>) in the DPP, 957 (46.6%) had sufficient stored plasma for PFAS quantification and thus were included in this study. Most participants included in our study were female (65.3%), Caucasian (57.7%), obese or overweight (97.7%), with a college or graduate education (74.4%), nonsmokers (56.8%), between 40 and 64 y of age (76.5%), and who reported being married or cohabitating (67.6%). In this sample, participants were equally assigned to the intensive lifestyle intervention arm of the trial (50.3%) or the placebo-treated control group (49.7%), and a total of 204 (21.3%) developed diabetes by the end of the DPP trial period. These include 47 participants (4.9%) who had a hyperglycemic glucose level that was not confirmed during the immediate follow-up visit, although all were eventually diagnosed as diabetic and included in the time-to-diabetes analysis. DPP participants excluded from this analysis had similar incidence of diabetes (21.5%) and did not differ by sex, age, or BMI distribution. However, our sample included a lower proportion of individuals from other races (4.4%) compared to excluded DPP participants (7.3%).</p><p>Plasma PFOS and PFOA concentrations differed by sex, race/ethnicity, and education, but were similar across BMI classification, smoking history, and treatment assignment. The distribution of PFOA but not PFOS concentration was significantly different across age groups and marital status (<xref ref-type="table" rid="t1">Table 1</xref>). At least one PFOS and PFOA isomer was detected in 100% of the samples, and both PFOS and PFOA had the highest total concentrations of all compounds measured. Among branched isomers, Sm2-PFOS was undetectable in 58.9% of the samples and Sb-PFOA in 16.6% of samples. PFHxS was below the LOD for one participant (0.1%), while Et-PFOSA-AcOH, Me-PFOSA-AcOH, and PFNA were undetectable in 3.3%, 2.6%, and 6.8% of participants, respectively (<xref ref-type="table" rid="t2">Table 2</xref>). All plasma PFAS concentrations were positively correlated (<xref ref-type="fig" rid="f1">Figure 1</xref>). GMs of plasma PFAS concentrations measured at baseline in DPP (1996&#x02013;1999) were similar to those measured in NHANES in 1999&#x02013;2000, but higher compared to more recent serum PFAS concentrations as reported by NHANES in 2013&#x02013;2014 (<xref rid="c7" ref-type="bibr">CDC 2017</xref>), except for PFNA concentrations that were higher compared to DPP (Table S1 and Figure S1).</p><fig id="f1" orientation="portrait" position="float"><label>Figure 1.</label><caption><p>Spearman correlation coefficients for plasma per- and polyfluoroalkyl substances (PFAS) concentrations measured at baseline in the Diabetes Prevention Program. Note: Et-PFOSA-AcOH, <italic>N</italic>-ethyl-perfluorooctane sulfonamido acetic acid; Me-PFOSA-AcOH, <italic>N</italic>-methyl-perfluorooctane sulfonamido acetic acid; PFHxS, perfluorohexane sulfonic acid; PFNA, perfluorononanoic acid; PFOA, perfluorooctanoic acid; PFOS, perfluorooctanesulfonic acid.</p></caption><alt-text>Heatmap plotting PFAS concentrations, namely, PFNA, PFOA, PFHxS, Me-PFOSA-AcOH, PFOS, and Et-PFOSA-AcOH (y-axis) across Spearman correlation coefficients (x-axis).</alt-text><graphic xlink:href="EHP1612_f1"/></fig><table-wrap id="t1" orientation="portrait" position="float"><label>Table 1</label><caption><p>Participant characteristics, geometric means (GMs), and interquartile ranges (IQR) for perfluorooctanesulfonic acid (PFOS) and perfluorooctanoic acid (PFOA) in plasma (ng/mL).</p></caption><alt-text>Table 1 lists characteristics in the first column; the corresponding n percent values and geometric mean (IQR) for PFOS and PFOA are listed in the other columns.</alt-text><!--OASIS TABLE HERE--><table frame="hsides" rules="groups"><colgroup><col align="left"/><col/><col/><col/></colgroup><thead><tr><th align="left">Characteristics (<inline-formula><mml:math id="M50"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>957</mml:mn></mml:mrow></mml:math></inline-formula>)</th><th align="center"><inline-formula><mml:math id="M51"><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula> (%)</th><th align="center">PFOS GM (IQR)</th><th align="center">PFOA GM (IQR)</th></tr></thead><tbody><tr><td align="left">Participant sex</td><td align="center">&#x000a0;</td><td align="center"><inline-formula><mml:math id="M52"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>8.0</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M53"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>7.32</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td></tr><tr><td align="left">&#x02002;Male</td><td align="char" char="(">332 (34.7%)</td><td align="char" char="(">28.3 (22.1)</td><td align="char" char="(">5.2 (3.3)</td></tr><tr><td align="left">&#x02002;Female</td><td align="char" char="(">625 (65.3%)</td><td align="char" char="(">25.4 (22.4)</td><td align="char" char="(">4.6 (3.3)</td></tr><tr><td align="left">Race/ethnicity</td><td align="center">&#x000a0;</td><td align="center"><inline-formula><mml:math id="M54"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>6.69</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M55"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>2.04</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td></tr><tr><td align="left">&#x02002;Caucasian</td><td align="char" char="(">552 (57.7%)</td><td align="char" char="(">25.7 (20.7)</td><td align="char" char="(">5.2 (3.2)</td></tr><tr><td align="left">&#x02002;African American</td><td align="char" char="(">184 (19.2%)</td><td align="char" char="(">31.2 (28.6)</td><td align="char" char="(">4.6 (3.4)</td></tr><tr><td align="left">&#x02002;Hispanic of any race</td><td align="char" char="(">179 (18.7%)</td><td align="char" char="(">23.6 (20.4)</td><td align="char" char="(">4.1 (2.7)</td></tr><tr><td align="left">&#x02002;All other</td><td align="char" char="(">42 (4.4%)</td><td align="char" char="(">29.3 (25.4)</td><td align="char" char="(">4.5 (2.1)</td></tr><tr><td align="left">Age (years)</td><td align="center">&#x000a0;</td><td align="center"><inline-formula><mml:math id="M56"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.15</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M57"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>9.08</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td></tr><tr><td align="left">&#x02002;<inline-formula><mml:math 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align="char" char="(">107 (11.2%)</td><td align="char" char="(">23.3 (21.6)</td><td align="char" char="(">4.8 (2.8)</td></tr><tr><td align="left">&#x02002;<inline-formula><mml:math id="M59"><mml:mrow><mml:mo>&#x02265;</mml:mo><mml:mn>65</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="char" char="(">114 (11.9%)</td><td align="char" char="(">24.8 (19.6)</td><td align="char" char="(">5.3 (3.6)</td></tr><tr><td align="left">BMI classification (<inline-formula><mml:math id="M60"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">kg</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>)</td><td align="center">&#x000a0;</td><td align="center"><inline-formula><mml:math id="M61"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.14</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M62"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.24</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td align="left">&#x02002;Normal (18.5&#x02013;24.9)</td><td align="char" char="(">22 (2.3%)</td><td align="char" char="(">21.4 (22.6)</td><td align="char" char="(">4.0 (2.2)</td></tr><tr><td align="left">&#x02002;Overweight (25.0&#x02013;29.9)</td><td align="char" char="(">287 (30.0%)</td><td align="char" char="(">25.5 (22.2)</td><td align="char" char="(">4.9 (3.1)</td></tr><tr><td align="left">&#x02002;Obese (<inline-formula><mml:math id="M63"><mml:mrow><mml:mo>&#x0003e;</mml:mo><mml:mn>30.0</mml:mn></mml:mrow></mml:math></inline-formula>)</td><td align="char" char="(">648 (67.7%)</td><td align="char" char="(">27.0 (22.9)</td><td align="char" char="(">4.8 (3.2)</td></tr><tr><td align="left">Education</td><td align="center">&#x000a0;</td><td align="center"><inline-formula><mml:math id="M64"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>5.40</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M65"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>5.41</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td></tr><tr><td align="left">&#x02002;<inline-formula><mml:math id="M66"><mml:mrow><mml:mo>&#x0003c;</mml:mo><mml:mtext>High</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>school</mml:mtext></mml:mrow></mml:math></inline-formula></td><td align="char" char="(">45 (4.7%)</td><td align="char" char="(">19.0 (20.4)</td><td align="char" char="(">3.2 (2.4)</td></tr><tr><td align="left">&#x02002;High school/GED</td><td align="char" char="(">200 (20.9%)</td><td align="char" char="(">28.6 (22.4)</td><td align="char" char="(">4.9 (3.1)</td></tr><tr><td align="left">&#x02002;College</td><td align="char" char="(">469 (49.0%)</td><td align="char" char="(">26.8 (24.4)</td><td align="char" char="(">5.0 (3.1)</td></tr><tr><td align="left">&#x02002;Graduate school</td><td align="char" char="(">243 (25.4%)</td><td align="char" char="(">25.5 (19.3)</td><td align="char" char="(">4.8 (3.1)</td></tr><tr><td align="left">Smoking history</td><td align="center">&#x000a0;</td><td align="center"><inline-formula><mml:math id="M67"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.53</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M68"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.17</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td align="left">&#x02002;Nonsmoker</td><td align="char" char="(">544 (56.8%)</td><td 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id="M70"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>7.0</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td></tr><tr><td align="left">&#x02002;Married/cohabitating</td><td align="char" char="(">647 (67.6%)</td><td align="char" char="(">26.5 (21.6)</td><td align="char" char="(">4.9 (3.0)</td></tr><tr><td align="left">&#x02002;Single</td><td align="char" char="(">114 (11.9%)</td><td align="char" char="(">27.7 (22.8)</td><td align="char" char="(">5.1 (3.8)</td></tr><tr><td align="left">&#x02002;Divorced/separated</td><td align="char" char="(">152 (15.9%)</td><td align="char" char="(">24.8 (24.6)</td><td align="char" char="(">4.2 (3.3)</td></tr><tr><td align="left">&#x02002;Widowed</td><td align="char" char="(">44 (4.6%)</td><td align="char" char="(">29.0 (34.5)</td><td align="char" char="(">5.7 (4.4)</td></tr><tr><td align="left">Treatment arm</td><td align="center">&#x000a0;</td><td align="center"><inline-formula><mml:math id="M71"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.07</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M72"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.41</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td align="left">&#x02002;Lifestyle intervention</td><td align="char" char="(">481 (50.3%)</td><td align="char" char="(">27.2 (23.5)</td><td align="char" char="(">4.9 (3.1)</td></tr><tr><td align="left">&#x02002;Placebo</td><td align="char" char="(">476 (49.7%)</td><td align="char" char="(">25.6 (20.9)</td><td align="char" char="(">4.7 (3.1)</td></tr></tbody></table></table-wrap><table-wrap id="t2" orientation="portrait" position="float"><label>Table 2</label><caption><p>Distribution of per- and polyfluoroalkyl substances (PFAS) plasma concentrations measured at baseline in the Diabetes Prevention Program trial.</p></caption><alt-text>Table 2 lists PFAS analyst and the chemical name in the first and second column, respectively. The corresponding n percent values below LOD and geometric mean in nanograms per milliliter (IQR) are listed in the last two columns separately.</alt-text><!--OASIS TABLE HERE--><table frame="hsides" rules="groups"><colgroup><col align="left"/><col align="left"/><col/><col/></colgroup><thead><tr><th align="left">PFAS analyte</th><th align="center">Chemical name</th><th align="center">Below LOD<xref ref-type="table-fn" rid="t2n1"><sup><italic toggle="yes">a</italic></sup></xref><inline-formula><mml:math id="M73"><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula> (%)</th><th align="center">Geometric mean (ng/mL) (IQR)</th></tr></thead><tbody><tr><td align="left">PFOS</td><td align="center">Perfluorooctane sulfonic acid</td><td align="char" char=".">0</td><td align="char" char="(">26.38 (22.80)</td></tr><tr><td align="left">&#x02002;n-PFOS</td><td align="center">Linear perfluorooctane sulfonic acid</td><td align="char" char=".">0</td><td align="char" char="(">18.42 (16.90)</td></tr><tr><td align="left">&#x02002;Sm-PFOS</td><td align="center">Perfluoromethylheptane sulfonic acids</td><td align="char" char=".">0</td><td align="char" char="(">7.32 (6.50)</td></tr><tr><td align="left">&#x02002;Sm2-PFOS</td><td align="center">Perfluorodimethylhexane sulfonic acids</td><td align="char" char="(">564 (58.93%)</td><td align="char" char="(">0.13 (0.23)</td></tr><tr><td align="left">PFOA</td><td align="center">Perfluorooctanoic acid</td><td align="char" char=".">0</td><td align="char" char="(">4.82 (3.20)</td></tr><tr><td align="left">&#x02002;n-PFOA</td><td align="center">Linear perfluorooctanoic acid</td><td align="char" char=".">0</td><td align="char" char="(">4.29 (2.90)</td></tr><tr><td align="left">&#x02002;Sb-PFOA</td><td align="center">Branched perfluorooctanoic acids</td><td align="char" char="(">159 (16.61%)</td><td align="char" char="(">0.44 (0.50)</td></tr><tr><td align="left">PFHxS</td><td align="center">Perfluorohexane sulfonic acid</td><td align="char" char="(">1 (0.10%)</td><td align="char" char="(">2.41 (2.40)</td></tr><tr><td align="left">Et-PFOSA-AcOH</td><td align="center"><italic toggle="yes">N</italic>-ethyl-perfluorooctane sulfonamido acetic acid</td><td align="char" char="(">32 (3.34%)</td><td align="char" char="(">1.13 (1.50)</td></tr><tr><td align="left">Me-PFOSA-AcOH</td><td align="center"><italic toggle="yes">N</italic>-methyl-perfluorooctane sulfonamido acetic acid</td><td align="char" char="(">29 (2.59%)</td><td align="char" char="(">0.94 (1.10)</td></tr><tr><td align="left">PFNA</td><td align="center">Perfluorononanoic acid</td><td align="char" char="(">65 (6.79%)</td><td align="char" char="(">0.53 (0.40)</td></tr></tbody></table><table-wrap-foot><fn id="t2n1" fn-type="other"><label><sup><italic>a</italic></sup></label><p><inline-formula><mml:math id="M74"><mml:mrow><mml:mtext>Limit</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>of</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>detection</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mtext>LOD</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>=</mml:mo><mml:mn>0.1</mml:mn><mml:mtext>&#x02009;</mml:mtext><mml:mtext>ng</mml:mtext><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> for all PFAS.</p></fn></table-wrap-foot></table-wrap></sec><sec id="s3.2"><title>Baseline Cross-Sectional Associations</title><p>We observed cross-sectional associations between several PFAS and glycemia measurements (<xref ref-type="table" rid="t3">Table 3</xref>). In adjusted linear regression models, a doubling in plasma PFOS concentration was associated with <inline-formula><mml:math id="M75"><mml:mrow><mml:mn>1.37</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">&#x003bc;</mml:mi><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> higher fasting insulin (95% CI: 0.41, 2.34), <inline-formula><mml:math id="M76"><mml:mrow><mml:mn>4.63</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">&#x003bc;</mml:mi><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> higher 30-min post-OGTT insulin levels (95% CI: 0.89, 8.36), <inline-formula><mml:math id="M77"><mml:mrow><mml:mn>1.37</mml:mn><mml:mtext>&#x02009;</mml:mtext><mml:mtext>pM</mml:mtext></mml:mrow></mml:math></inline-formula> higher fasting proinsulin (95% CI: 0.50, 2.25), <inline-formula><mml:math id="M78"><mml:mrow><mml:mn>0.55</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">mg</mml:mi><mml:mo>/</mml:mo><mml:mtext>dL</mml:mtext></mml:mrow></mml:math></inline-formula> higher fasting glucose (95% CI: 0.03, 1.06), and 0.03% higher <inline-formula><mml:math id="M79"><mml:mrow><mml:msub><mml:mrow><mml:mtext>HbA</mml:mtext></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (95% CI: 0.002, 0.07). Consistent with the insulin and glucose results, a doubling in plasma PFOS concentration was associated with 0.39 higher HOMA-IR (95% CI: 0.13, 0.66) and 9.62 higher <inline-formula><mml:math id="M80"><mml:mrow><mml:mtext>HOMA</mml:mtext><mml:mo>-</mml:mo><mml:mi mathvariant="normal">&#x003b2;</mml:mi></mml:mrow></mml:math></inline-formula> (95% CI: 1.55, 17.70). No associations were observed for plasma PFOS and post-OGTT glucose levels.</p><table-wrap id="t3" orientation="portrait" position="float"><label>Table 3</label><caption><p>Adjusted cross-sectional associations between baseline plasma per- and polyfluoroalkyl substances (PFAS) concentrations and glycemic outcomes in the Diabetes Prevention Program trial.</p></caption><alt-text>Table 3 lists outcomes, n values, and mean (SD) in the first, second, and third columns, respectively. The corresponding values for PFOS, PFOA, PFHxS, Et-PFOSA-AcOH, Me-PFOSA-AcOH, and PFNA for the adjusted estimated change in the outcome per doubling in PFASs concentration in nanograms per milliliter are listed in the other columns.</alt-text><!--OASIS TABLE HERE--><table frame="hsides" rules="groups"><colgroup><col align="left"/><col/><col align="center"/><col/><col/><col/><col/><col/><col/></colgroup><thead><tr><th rowspan="2" align="left">Outcome</th><th rowspan="2" align="center"><inline-formula><mml:math id="M81"><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula></th><th rowspan="2" align="center"><inline-formula><mml:math id="M82"><mml:mrow><mml:mtext>mean</mml:mtext><mml:mo>&#x000b1;</mml:mo><mml:mtext>SD</mml:mtext></mml:mrow></mml:math></inline-formula></th><th colspan="6" align="left">Adjusted estimated change in the outcome per doubling in PFASs concentration (ng/mL) (95% CI)</th></tr><tr><th align="center">PFOS</th><th align="center">PFOA</th><th align="center">PFHxS</th><th align="center">Et-PFOSA-AcOH</th><th align="center">Me-PFOSA-AcOH</th><th align="center">PFNA</th></tr></thead><tbody><tr><td rowspan="3" align="left">HOMA-IR</td><td rowspan="3" align="char" char=".">956</td><td rowspan="3" align="center"><inline-formula><mml:math id="M83"><mml:mrow><mml:mn>6.91</mml:mn><mml:mo>&#x000b1;</mml:mo><mml:mn>3.99</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="char" char=".">0.39</td><td align="char" char=".">0.64</td><td align="char" char=".">0.34</td><td align="char" char=".">0.25</td><td align="char" char=".">0.23</td><td align="char" char=".">0.20</td></tr><tr><td align="left">(0.13, 0.66)</td><td align="center">(0.34, 0.94)</td><td align="center">(0.12, 0.55)</td><td align="center">(0.08, 0.41)</td><td align="center">(0.03, 0.43)</td><td align="center">(<inline-formula><mml:math id="M84"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.02</mml:mn></mml:mrow></mml:math></inline-formula>, 0.42)</td></tr><tr><td align="left"><inline-formula><mml:math id="M85"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>3.92</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M86"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>3.07</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M87"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>2.06</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M88"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>4.36</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M89"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.03</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M90"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.12</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td rowspan="3" align="left">Fast insulin (<inline-formula><mml:math id="M91"><mml:mrow><mml:mi mathvariant="normal">&#x003bc;</mml:mi><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula>)</td><td rowspan="3" align="char" char=".">956</td><td rowspan="3" align="center"><inline-formula><mml:math id="M92"><mml:mrow><mml:mn>26</mml:mn><mml:mo>&#x000b1;</mml:mo><mml:mn>14.6</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="char" char=".">1.37</td><td align="char" char=".">2.26</td><td align="char" char=".">1.17</td><td align="char" char=".">0.87</td><td align="char" char=".">0.80</td><td align="char" char=".">0.59</td></tr><tr><td align="left">(0.41, 2.34)</td><td align="center">(1.16, 3.35)</td><td align="center">(0.39, 1.95)</td><td align="center">(0.26, 1.48)</td><td align="center">(0.06, 1.54)</td><td align="center">(<inline-formula><mml:math id="M93"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.21</mml:mn></mml:mrow></mml:math></inline-formula>, 1.38)</td></tr><tr><td align="left"><inline-formula><mml:math id="M94"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>5.38</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M95"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>5.62</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M96"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>3.18</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M97"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>5.10</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M98"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.03</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M99"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.15</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td rowspan="3" align="left">30-min insulin (<inline-formula><mml:math id="M100"><mml:mrow><mml:mi mathvariant="normal">&#x003bc;</mml:mi><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula>)</td><td rowspan="3" align="char" char=".">945</td><td rowspan="3" align="center"><inline-formula><mml:math id="M101"><mml:mrow><mml:mn>96.5</mml:mn><mml:mo>&#x000b1;</mml:mo><mml:mn>53.6</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="char" char=".">4.63</td><td align="char" char=".">7.85</td><td align="char" char=".">6.07</td><td align="char" char=".">1.42</td><td align="char" char=".">1.07</td><td align="char" char=".">1.30</td></tr><tr><td align="left">(0.89, 8.36)</td><td align="center">(3.63, 12.07)</td><td align="center">(3.09, 9.06)</td><td align="center">(<inline-formula><mml:math id="M102"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.95</mml:mn></mml:mrow></mml:math></inline-formula>, 3.78)</td><td align="center">(<inline-formula><mml:math id="M103"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1.77</mml:mn></mml:mrow></mml:math></inline-formula>, 3.92)</td><td align="center">(<inline-formula><mml:math id="M104"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1.76</mml:mn></mml:mrow></mml:math></inline-formula>, 4.37)</td></tr><tr><td align="left"><inline-formula><mml:math id="M105"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.02</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M106"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>2.77</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M107"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>7.14</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M108"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.24</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M109"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.46</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M110"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.40</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td rowspan="3" align="left">Fast proinsulin (pM)</td><td rowspan="3" align="char" char=".">954</td><td rowspan="3" align="center"><inline-formula><mml:math id="M111"><mml:mrow><mml:mn>17.9</mml:mn><mml:mo>&#x000b1;</mml:mo><mml:mn>13</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="char" char=".">1.37</td><td align="char" char=".">1.71</td><td align="char" char=".">1.31</td><td align="char" char=".">0.45</td><td align="char" char=".">0.41</td><td align="char" char=".">0.89</td></tr><tr><td align="left">(0.50, 2.25)</td><td align="center">(0.72, 2.71)</td><td align="center">(0.61, 2.01)</td><td align="center">(<inline-formula><mml:math id="M112"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.11</mml:mn></mml:mrow></mml:math></inline-formula>, 1.00)</td><td align="center">(<inline-formula><mml:math id="M113"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.26</mml:mn></mml:mrow></mml:math></inline-formula>, 1.08)</td><td align="center">(0.18, 1.61)</td></tr><tr><td align="left"><inline-formula><mml:math id="M114"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>2.10</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M115"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>7.0</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M116"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>2.71</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M117"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.11</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M118"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.23</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M119"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.02</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td rowspan="3" align="left"><inline-formula><mml:math id="M120"><mml:mrow><mml:mtext>HOMA</mml:mtext><mml:mo>-</mml:mo><mml:mi mathvariant="normal">&#x003b2;</mml:mi></mml:mrow></mml:math></inline-formula></td><td rowspan="3" align="char" char=".">956</td><td rowspan="3" align="center"><inline-formula><mml:math id="M121"><mml:mrow><mml:mn>217</mml:mn><mml:mo>&#x000b1;</mml:mo><mml:mn>120</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="char" char=".">9.62</td><td align="char" char=".">15.93</td><td align="char" char=".">7.96</td><td align="char" char=".">6.28</td><td align="char" char=".">5.40</td><td align="char" char=".">3.56</td></tr><tr><td align="left">(1.55, 17.70)</td><td align="center">(6.78, 25.08)</td><td align="center">(1.46, 14.47)</td><td align="center">(1.21, 11.36)</td><td align="center">(<inline-formula><mml:math id="M122"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.76</mml:mn></mml:mrow></mml:math></inline-formula>, 11.56)</td><td align="center">(<inline-formula><mml:math id="M123"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3.09</mml:mn></mml:mrow></mml:math></inline-formula>, 10.2)</td></tr><tr><td align="left"><inline-formula><mml:math id="M124"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.02</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M125"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>6.59</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M126"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.02</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M127"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.02</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M128"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.09</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M129"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.29</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td rowspan="3" align="left">Corrected insulin response</td><td rowspan="3" align="char" char=".">945</td><td rowspan="3" align="center"><inline-formula><mml:math id="M130"><mml:mrow><mml:mn>0.60</mml:mn><mml:mo>&#x000b1;</mml:mo><mml:mn>0.39</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="char" char=".">0.03</td><td align="char" char=".">0.04</td><td align="char" char=".">0.03</td><td align="char" char=".">0.01</td><td align="char" char=".">0.001</td><td align="char" char=".">0.005</td></tr><tr><td align="left">(<inline-formula><mml:math id="M131"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.001</mml:mn></mml:mrow></mml:math></inline-formula>, 0.05)</td><td align="center">(0.01, 0.07)</td><td align="center">(0.01, 0.05)</td><td align="center">(<inline-formula><mml:math id="M132"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.01</mml:mn></mml:mrow></mml:math></inline-formula>, 0.02)</td><td align="center">(<inline-formula><mml:math id="M133"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.02</mml:mn></mml:mrow></mml:math></inline-formula>, 0.02)</td><td align="center">(<inline-formula><mml:math id="M134"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.02</mml:mn></mml:mrow></mml:math></inline-formula>, 0.03)</td></tr><tr><td align="left"><inline-formula><mml:math id="M135"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.06</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M136"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.01</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M137"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.01</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M138"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.43</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M139"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.84</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M140"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.61</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td rowspan="3" align="left">Insulinogenic index</td><td rowspan="3" align="char" char=".">945</td><td rowspan="3" align="center"><inline-formula><mml:math id="M141"><mml:mrow><mml:mn>1.03</mml:mn><mml:mo>&#x000b1;</mml:mo><mml:mn>0.84</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="char" char=".">0.05</td><td align="char" char=".">0.08</td><td align="char" char=".">0.06</td><td align="char" char=".">0.01</td><td align="center"><inline-formula><mml:math id="M142"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.004</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="char" char=".">0.01</td></tr><tr><td align="left">(<inline-formula><mml:math id="M143"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.005</mml:mn></mml:mrow></mml:math></inline-formula>, 0.11)</td><td align="center">(0.01, 0.15)</td><td align="center">(0.02, 0.11)</td><td align="center">(<inline-formula><mml:math id="M144"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.03</mml:mn></mml:mrow></mml:math></inline-formula>, 0.05)</td><td align="center">(<inline-formula><mml:math id="M145"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.05</mml:mn></mml:mrow></mml:math></inline-formula>, 0.04)</td><td align="center">(<inline-formula><mml:math id="M146"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.03</mml:mn></mml:mrow></mml:math></inline-formula>, 0.06)</td></tr><tr><td align="left"><inline-formula><mml:math id="M147"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.07</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M148"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.02</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M149"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>7.67</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M150"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.68</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M151"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.84</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M152"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.57</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td rowspan="3" align="left">Fast glucose (mg/dL)</td><td rowspan="3" align="char" char=".">957</td><td rowspan="3" align="center"><inline-formula><mml:math id="M153"><mml:mrow><mml:mn>106.9</mml:mn><mml:mo>&#x000b1;</mml:mo><mml:mn>7.4</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="char" char=".">0.55</td><td align="char" char=".">0.66</td><td align="char" char=".">0.29</td><td align="char" char=".">0.30</td><td align="char" char=".">0.19</td><td align="char" char=".">0.45</td></tr><tr><td align="left">(0.03, 1.06)</td><td align="center">(0.07, 1.24)</td><td align="center">(<inline-formula><mml:math id="M154"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.13</mml:mn></mml:mrow></mml:math></inline-formula>, 0.70)</td><td align="center">(<inline-formula><mml:math id="M155"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.02</mml:mn></mml:mrow></mml:math></inline-formula>, 0.63)</td><td align="center">(<inline-formula><mml:math id="M156"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.21</mml:mn></mml:mrow></mml:math></inline-formula>, 0.58)</td><td align="center">(0.03, 0.87)</td></tr><tr><td align="left"><inline-formula><mml:math id="M157"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.04</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M158"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.03</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M159"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.17</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M160"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.06</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M161"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.35</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M162"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.04</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td rowspan="3" align="left">30-min glucose (mg/dL)</td><td rowspan="3" align="char" char=".">947</td><td rowspan="3" align="center"><inline-formula><mml:math id="M163"><mml:mrow><mml:mn>170</mml:mn><mml:mo>&#x000b1;</mml:mo><mml:mn>24.3</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="char" char=".">0.64</td><td align="char" char=".">1.69</td><td align="char" char=".">0.64</td><td align="char" char=".">0.31</td><td align="char" char=".">0.49</td><td align="char" char=".">0.46</td></tr><tr><td align="left">(<inline-formula><mml:math id="M164"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1.06</mml:mn></mml:mrow></mml:math></inline-formula>, 2.35)</td><td align="center">(<inline-formula><mml:math id="M165"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.24</mml:mn></mml:mrow></mml:math></inline-formula>, 3.63)</td><td align="center">(0.05, 2.79)</td><td align="center">(<inline-formula><mml:math id="M166"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.76</mml:mn></mml:mrow></mml:math></inline-formula>, 1.39)</td><td align="center">(<inline-formula><mml:math id="M167"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.80</mml:mn></mml:mrow></mml:math></inline-formula>, 1.79)</td><td align="center">(<inline-formula><mml:math id="M168"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.94</mml:mn></mml:mrow></mml:math></inline-formula>, 1.86)</td></tr><tr><td align="left"><inline-formula><mml:math id="M169"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.46</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M170"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.08</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M171"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.04</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M172"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.56</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M173"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.45</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M174"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.52</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td rowspan="3" align="left">2-h glucose (mg/dL)</td><td rowspan="3" align="char" char=".">940</td><td rowspan="3" align="center"><inline-formula><mml:math id="M175"><mml:mrow><mml:mn>164.6</mml:mn><mml:mo>&#x000b1;</mml:mo><mml:mn>17</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="char" char=".">0.02</td><td align="center"><inline-formula><mml:math id="M176"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.42</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M177"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1.26</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="char" char=".">0.57</td><td align="char" char=".">0.58</td><td align="center"><inline-formula><mml:math id="M178"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.33</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td align="left">(<inline-formula><mml:math id="M179"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1.80</mml:mn></mml:mrow></mml:math></inline-formula>, 0.95)</td><td align="center">(<inline-formula><mml:math id="M180"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1.80</mml:mn></mml:mrow></mml:math></inline-formula>, 0.95)</td><td align="center">(<inline-formula><mml:math id="M181"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>2.23</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M182"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.29</mml:mn></mml:mrow></mml:math></inline-formula>)</td><td align="center">(<inline-formula><mml:math id="M183"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.18</mml:mn></mml:mrow></mml:math></inline-formula>, 1.30)</td><td align="center">(<inline-formula><mml:math id="M184"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.34</mml:mn></mml:mrow></mml:math></inline-formula>, 1.50)</td><td align="center">(<inline-formula><mml:math id="M185"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1.33</mml:mn></mml:mrow></mml:math></inline-formula>, 0.66)</td></tr><tr><td align="left"><inline-formula><mml:math id="M186"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.97</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M187"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.55</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M188"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.01</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M189"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.14</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M190"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.22</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M191"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.51</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td rowspan="3" align="left"><inline-formula><mml:math id="M192"><mml:mrow><mml:msub><mml:mrow><mml:mtext>HbA</mml:mtext></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (%)</td><td rowspan="3" align="char" char=".">954</td><td rowspan="3" align="center"><inline-formula><mml:math id="M193"><mml:mrow><mml:mn>5.9</mml:mn><mml:mo>&#x000b1;</mml:mo><mml:mn>0.5</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="char" char=".">0.03</td><td align="char" char=".">0.04</td><td align="char" char=".">0.02</td><td align="char" char=".">0.004</td><td align="char" char=".">0.01</td><td align="char" char=".">0.01</td></tr><tr><td align="left">(0.002, 0.07)</td><td align="center">(0.001, 0.07)</td><td align="center">(<inline-formula><mml:math id="M194"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.004</mml:mn></mml:mrow></mml:math></inline-formula>, 0.05)</td><td align="center">(<inline-formula><mml:math id="M195"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.02</mml:mn></mml:mrow></mml:math></inline-formula>, 0.03)</td><td align="center">(<inline-formula><mml:math id="M196"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.02</mml:mn></mml:mrow></mml:math></inline-formula>, 0.03)</td><td align="center">(<inline-formula><mml:math id="M197"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.01</mml:mn></mml:mrow></mml:math></inline-formula>, 0.04)</td></tr><tr><td align="left"><inline-formula><mml:math id="M198"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.04</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M199"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.05</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M200"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.11</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M201"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.68</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M202"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.68</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M203"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.28</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td rowspan="3" align="left">Adiponectin (<inline-formula><mml:math id="M204"><mml:mrow><mml:mi mathvariant="normal">&#x003bc;</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula>)</td><td rowspan="3" align="char" char=".">956</td><td rowspan="3" align="center"><inline-formula><mml:math id="M205"><mml:mrow><mml:mn>8.1</mml:mn><mml:mo>&#x000b1;</mml:mo><mml:mn>3.5</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M206"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.11</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M207"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.29</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M208"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.01</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M209"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.15</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M210"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.24</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M211"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.13</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td align="left">(<inline-formula><mml:math id="M212"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.33</mml:mn></mml:mrow></mml:math></inline-formula>, 0.11)</td><td align="center">(<inline-formula><mml:math id="M213"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.54</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M214"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.04</mml:mn></mml:mrow></mml:math></inline-formula>)</td><td align="center">(<inline-formula><mml:math id="M215"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.19</mml:mn></mml:mrow></mml:math></inline-formula>, 0.17)</td><td align="center">(<inline-formula><mml:math id="M216"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.29</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M217"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.02</mml:mn></mml:mrow></mml:math></inline-formula>)</td><td align="center">(<inline-formula><mml:math id="M218"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.40</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M219"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.07</mml:mn></mml:mrow></mml:math></inline-formula>)</td><td align="center">(<inline-formula><mml:math id="M220"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.31</mml:mn></mml:mrow></mml:math></inline-formula>, 0.05)</td></tr><tr><td align="left"><inline-formula><mml:math id="M221"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.32</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M222"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.02</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M223"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.92</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M224"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.03</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M225"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>5.74</mml:mn><mml:mo>&#x000d7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M226"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.15</mml:mn></mml:mrow></mml:math></inline-formula></td></tr><tr><td rowspan="3" align="left">BMI<xref ref-type="table-fn" rid="t3n1"><sup><italic toggle="yes">a</italic></sup></xref></td><td rowspan="3" align="char" char=".">957</td><td rowspan="3" align="center"><inline-formula><mml:math id="M227"><mml:mrow><mml:mn>32.6</mml:mn><mml:mo>&#x000b1;</mml:mo><mml:mn>6.6</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="char" char=".">0.25</td><td align="char" char=".">0.15</td><td align="char" char=".">0.16</td><td align="char" char=".">0.06</td><td align="char" char=".">0.26</td><td align="char" char=".">0.25</td></tr><tr><td align="left">(<inline-formula><mml:math id="M228"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.19</mml:mn></mml:mrow></mml:math></inline-formula>, 0.70)</td><td align="center">(<inline-formula><mml:math id="M229"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.35</mml:mn></mml:mrow></mml:math></inline-formula>, 0.65)</td><td align="center">(<inline-formula><mml:math id="M230"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.20</mml:mn></mml:mrow></mml:math></inline-formula>, 0.52)</td><td align="center">(<inline-formula><mml:math id="M231"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.22</mml:mn></mml:mrow></mml:math></inline-formula>, 0.33)</td><td align="center">(<inline-formula><mml:math id="M232"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.07</mml:mn></mml:mrow></mml:math></inline-formula>, 0.60)</td><td align="center">(<inline-formula><mml:math id="M233"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.12</mml:mn></mml:mrow></mml:math></inline-formula>, 0.61)</td></tr><tr><td align="left"><inline-formula><mml:math id="M234"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.26</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M235"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.56</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M236"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.38</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M237"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.70</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M238"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.13</mml:mn></mml:mrow></mml:math></inline-formula></td><td align="center"><inline-formula><mml:math id="M239"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.18</mml:mn></mml:mrow></mml:math></inline-formula></td></tr></tbody></table><table-wrap-foot><fn fn-type="abbr"><p>Note: Adjusted for participant sex, race/ethnicity, BMI (body mass index; continuous), age (categorical), marital status (categorical), education (categorical), and smoking history (categorical). Et-PFOSA-AcOH, <italic>N</italic>-ethyl-perfluorooctane sulfonamido acetic acid; <inline-formula><mml:math id="M240"><mml:mrow><mml:msub><mml:mrow><mml:mtext>HbA</mml:mtext></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, glycated hemoglobin; <inline-formula><mml:math id="M241"><mml:mrow><mml:mtext>HOMA</mml:mtext><mml:mo>-</mml:mo><mml:mi mathvariant="normal">&#x003b2;</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M242"><mml:mrow><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mo>-</mml:mo><mml:mtext>cell</mml:mtext></mml:mrow></mml:math></inline-formula> function; HOMA-IR, homeostatic model assessment of insulin resistance; Me-PFOSA-AcOH, <italic>N</italic>-methyl-perfluorooctane sulfonamido acetic acid; PFHxS, perfluorohexane sulfonic acid; PFNA, perfluorononanoic acid; PFOA, perfluorooctanoic acid; PFOS, perfluorooctanesulfonic acid; SD, standard deviation.</p></fn><fn id="t3n1" fn-type="other"><label><sup><italic>a</italic></sup></label><p>Not adjusted for BMI.</p></fn></table-wrap-foot></table-wrap><p>Similarly, a doubling in plasma PFOA concentration was associated with <inline-formula><mml:math id="M243"><mml:mrow><mml:mn>1.71</mml:mn><mml:mtext>&#x02009;</mml:mtext><mml:mtext>pM</mml:mtext></mml:mrow></mml:math></inline-formula> higher fasting proinsulin (95% CI: 0.72, 2.71), <inline-formula><mml:math id="M244"><mml:mrow><mml:mn>2.26</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">&#x003bc;</mml:mi><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> higher fasting insulin (95% CI: 1.16, 3.35), <inline-formula><mml:math id="M245"><mml:mrow><mml:mn>7.85</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">&#x003bc;</mml:mi><mml:mi mathvariant="normal">U</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> higher 30-min post-OGTT insulin (95% CI: 3.63, 12.07), <inline-formula><mml:math id="M246"><mml:mrow><mml:mn>0.66</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">mg</mml:mi><mml:mo>/</mml:mo><mml:mtext>dL</mml:mtext></mml:mrow></mml:math></inline-formula> higher fasting glucose (95% CI: 0.07, 1.24), 0.04 higher corrected insulin response (95% CI: 0.001, 0.07), 0.08 higher insulinogenic index (95% CI: 0.01, 0.15), 0.04% higher <inline-formula><mml:math id="M247"><mml:mrow><mml:msub><mml:mrow><mml:mtext>HbA</mml:mtext></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (95% CI: 0.001, 0.07), and <inline-formula><mml:math id="M248"><mml:mrow><mml:mn>0.29</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">&#x003bc;</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> lower adiponectin levels (95% CI: <inline-formula><mml:math id="M249"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.54</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M250"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.04</mml:mn></mml:mrow></mml:math></inline-formula>). Consistent with the insulin and glucose results, a doubling in plasma PFOA was associated with 0.64 higher HOMA-IR (95% CI: 0.34, 0.94) and 15.93 higher <inline-formula><mml:math id="M251"><mml:mrow><mml:mtext>HOMA</mml:mtext><mml:mo>-</mml:mo><mml:mi mathvariant="normal">&#x003b2;</mml:mi></mml:mrow></mml:math></inline-formula> (95% CI: 6.78, 25.08). No associations were observed between PFOA and post-OGTT glucose levels. Results for all glycemia endpoints for PFOA and PFOS are shown in <xref ref-type="table" rid="t3">Table 3</xref>. Associations among individual isomers of PFOS (n-PFOS, Sm-PFOS, Sm2-PFOS) and PFOA (n-PFOA and Sb-PFOA) were similar (Table S2).</p><p>A doubling in plasma PFHxS concentration was associated with 0.34 higher HOMA-IR (95% CI: 0.12, 0.55) and 7.96 higher <inline-formula><mml:math id="M252"><mml:mrow><mml:mtext>HOMA</mml:mtext><mml:mo>-</mml:mo><mml:mi mathvariant="normal">&#x003b2;</mml:mi></mml:mrow></mml:math></inline-formula> (95% CI: 1.46, 14.47). Plasma PFHxS concentrations were also positively associated with fasting insulin, 30-min post-OGTT insulin levels, fasting proinsulin, corrected insulin response, and insulinogenic index. Interestingly, PFHxS concentrations were not associated with fasting glucose, but a doubling in exposure was associated with <inline-formula><mml:math id="M253"><mml:mrow><mml:mn>0.64</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">mg</mml:mi><mml:mo>/</mml:mo><mml:mtext>dL</mml:mtext></mml:mrow></mml:math></inline-formula> higher 30-min post-OGTT glucose (95% CI: 0.05, 2.79) and <inline-formula><mml:math id="M254"><mml:mrow><mml:mn>1.26</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">mg</mml:mi><mml:mo>/</mml:mo><mml:mtext>dL</mml:mtext></mml:mrow></mml:math></inline-formula> lower 2-h post-OGTT glucose (95% CI: <inline-formula><mml:math id="M255"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>2.23</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M256"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.29</mml:mn></mml:mrow></mml:math></inline-formula>).</p><p>Both Et-PFOSA-AcOH and Me-PFOSA-AcOH were associated with higher HOMA-IR and fasting insulin and lower adiponectin levels. Only Et-PFOSA-AcOH was associated with higher <inline-formula><mml:math id="M257"><mml:mrow><mml:mtext>HOMA</mml:mtext><mml:mo>-</mml:mo><mml:mi mathvariant="normal">&#x003b2;</mml:mi></mml:mrow></mml:math></inline-formula>. Plasma PFNA concentrations were associated with higher fasting proinsulin and fasting glucose levels.</p></sec><sec id="s3.3"><title>Baseline Per- and Polyfluoroalkyl Substances Concentrations and Longitudinal Glycemic Measurements</title><p>There was no evidence that baseline plasma PFAS concentrations were associated with changes in HOMA-IR, fasting insulin, fasting glucose, <inline-formula><mml:math id="M258"><mml:mrow><mml:msub><mml:mrow><mml:mtext>HbA</mml:mtext></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, fasting proinsulin, corrected insulin response, insulinogenic index, or adiponectin over time or by treatment group (<xref ref-type="fig" rid="f2">Figure 2</xref> and Table S3).</p><fig id="f2" orientation="portrait" position="float"><label>Figure 2.</label><caption><p>Adjusted estimated change in glycemic outcomes per year for each doubling in per- and polyfluoroalkyl substances (PFAS) plasma concentrations measured at baseline in the Diabetes Prevention Program. Note: Longitudinal models adjusted for participant sex, race/ethnicity, baseline body mass index (BMI) (continuous), age (categorical), marital status (categorical), education (categorical), smoking history (categorical), time to follow-up in years, and treatment assignment (placebo/lifestyle). Et-PFOSA-AcOH, <italic>N</italic>-ethyl-perfluorooctane sulfonamido acetic acid; Me-PFOSA-AcOH, <italic>N</italic>-methyl-perfluorooctane sulfonamido acetic acid; PFHxS, perfluorohexane sulfonic acid; PFNA, perfluorononanoic acid; PFOA, perfluorooctanoic acid; PFOS, perfluorooctanesulfonic acid.</p></caption><alt-text>Nine plots with confidence intervals showing log base 2 PFAS concentrations, namely, PFNA, PFOA, PFHxS, Me-PFOSA-AcOH, PFOS, and Et-PFOSA-AcOH (y-axis) across the change per year (x-axis) for the following glycemic outcomes: HOMA-IR, HOMA-beta, fasting insulin (micro units per milliliter), fasting glucose in milligrams per deciliter, HbA1c in percentage, fasting proinsulin in picomolar, corrected insulin response, insulinogenic index, adiponectin in micrograms per milliliter.</alt-text><graphic xlink:href="EHP1612_f2"/></fig><p>A doubling in plasma Et-PFOSA-AcOH concentration was associated with a 1.96 decrease in <inline-formula><mml:math id="M259"><mml:mrow><mml:mtext>HOMA</mml:mtext><mml:mo>-</mml:mo><mml:mi mathvariant="normal">&#x003b2;</mml:mi></mml:mrow></mml:math></inline-formula> over the study period (95% CI: <inline-formula><mml:math id="M260"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3.81</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M261"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.11</mml:mn></mml:mrow></mml:math></inline-formula>) after adjusting for sex, race/ethnicity, BMI, age, marital status, education, smoking history, treatment assignment, and the fixed effect of the interaction of treatment over time. For fasting-glucose levels, there was a significant statistical interaction between treatment assignment and plasma PFHxS concentrations over the study period (<inline-formula><mml:math id="M262"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mrow><mml:mtext>interaction</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.04</mml:mn></mml:mrow></mml:math></inline-formula>). Adjusted analyses stratified by treatment were marginal for the association of PFHxS with longitudinal changes in fasting glucose among the placebo (<inline-formula><mml:math id="M263"><mml:mrow><mml:msub><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mrow><mml:mtext>placebo</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo>&#x02212;</mml:mo><mml:mn>0.25</mml:mn></mml:mrow></mml:math></inline-formula>; 95% CI: <inline-formula><mml:math id="M264"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.59</mml:mn></mml:mrow></mml:math></inline-formula>, 0.08; <inline-formula><mml:math id="M265"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.14</mml:mn></mml:mrow></mml:math></inline-formula>) and the intensive lifestyle intervention (<inline-formula><mml:math id="M266"><mml:mrow><mml:msub><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mrow><mml:mtext>Lifestyle</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.15</mml:mn></mml:mrow></mml:math></inline-formula>; 95% CI: <inline-formula><mml:math id="M267"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.10</mml:mn></mml:mrow></mml:math></inline-formula>, 0.41; <inline-formula><mml:math id="M268"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.24</mml:mn></mml:mrow></mml:math></inline-formula>) arm. Lastly, there was a significant statistical interaction between Me-PFOSA-AcOH plasma concentrations and treatment arm for the change in adiponectin levels from baseline to the first-year study visit (<inline-formula><mml:math id="M269"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mrow><mml:mtext>interaction</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.05</mml:mn></mml:mrow></mml:math></inline-formula>). Namely, in stratified analyses, a doubling in plasma Me-PFOSA-AcOH concentration was associated with a marginal decrease for the difference in adiponectin levels from baseline to year 1 among the placebo group (<inline-formula><mml:math id="M270"><mml:mrow><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mo>=</mml:mo><mml:mo>&#x02212;</mml:mo><mml:mn>0.09</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">&#x003bc;</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula>; 95% CI: <inline-formula><mml:math id="M271"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.18</mml:mn></mml:mrow></mml:math></inline-formula>, 0.01; <inline-formula><mml:math id="M272"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.08</mml:mn></mml:mrow></mml:math></inline-formula>), but not in the intensive lifestyle intervention arm (<inline-formula><mml:math id="M273"><mml:mrow><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mo>=</mml:mo><mml:mn>0.02</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">&#x003bc;</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula>; 95% CI: <inline-formula><mml:math id="M274"><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.12</mml:mn></mml:mrow></mml:math></inline-formula>, 0.17; <inline-formula><mml:math id="M275"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>0.72</mml:mn></mml:mrow></mml:math></inline-formula>).</p></sec><sec id="s3.4"><title>Per- and Polyfluoroalkyl Substances Plasma Concentrations and Diabetes Incidence</title><p>Median follow-up time was 2.9 y (range 0.2 to 4.6 y), and 204 participants (21.3%) developed diabetes by the end of the study. Baseline plasma concentrations of Sb-PFOA were associated with diabetes risk after adjusting for sex, race/ethnicity, BMI, age, marital status, education, smoking history, and treatment assignment; for every doubling in Sb-PFOA plasma concentration, the hazard of developing diabetes increased by 11% (<inline-formula><mml:math id="M276"><mml:mrow><mml:mtext>HR</mml:mtext><mml:mo>=</mml:mo><mml:mn>1.11</mml:mn></mml:mrow></mml:math></inline-formula>; 95% CI: 1.00, 1.23). In stratified analyses, the incidence of diabetes among participants with detectable concentrations of Sb-PFOA was 22.6% (180/798) compared to 15.1% (24/159) for participants with undetectable Sb-PFOA concentrations (log-rank <inline-formula><mml:math id="M277"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn>0.04</mml:mn></mml:mrow></mml:math></inline-formula>), <xref ref-type="fig" rid="f3">Figure 3</xref>. All other PFAS were not associated with diabetes incidence (<xref ref-type="table" rid="t4">Table 4</xref>). In a secondary analysis of time to first-fasting hyperglycemia (i.e., measured elevated glucose levels at the scheduled visit, but diabetes was not confirmed at the immediate follow-up visit), a doubling in plasma Sb-PFOA concentration was associated with a 29% increase in the hazard of developing hyperglycemia during the study period (<inline-formula><mml:math id="M278"><mml:mrow><mml:mtext>HR</mml:mtext><mml:mo>=</mml:mo><mml:mn>1.29</mml:mn></mml:mrow></mml:math></inline-formula>; 95% CI: 1.03, 1.63) (Table S4).</p><fig id="f3" orientation="portrait" position="float"><label>Figure 3.</label><caption><p>Kaplan-Meier plot of diabetes-free incidence in the study sample by plasma concentrations of Sb-PFOA categorized as undetectable (<inline-formula><mml:math id="M279"><mml:mrow><mml:mo>&#x0003c;</mml:mo><mml:mtext>LOD</mml:mtext></mml:mrow></mml:math></inline-formula>) and detectable plasma Sb. PFOA concentrations (<inline-formula><mml:math id="M280"><mml:mrow><mml:mo>&#x02265;</mml:mo><mml:mtext>LOD</mml:mtext></mml:mrow></mml:math></inline-formula>). Note: <inline-formula><mml:math id="M281"><mml:mrow><mml:mtext>Limit</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>of</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mtext>detection</mml:mtext><mml:mtext>&#x02009;</mml:mtext><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mtext>LOD</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mo>=</mml:mo><mml:mn>0.1</mml:mn><mml:mtext>&#x02009;</mml:mtext><mml:mtext>ng</mml:mtext><mml:mo>/</mml:mo><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula>. Sb-PFOA, sum of perfluoromethylheptanoic and perfluorodimethylhexanoic acids.</p></caption><alt-text>Line graph plotting diabetes probability (y-axis) across follow-up time in years (x-axis) for Sb-PFOA less than LOD (n equals 159) and Sb-PFOA greater than or equal to LOD (n equals 798). Log rank P equals 0.04.</alt-text><graphic xlink:href="EHP1612_f3"/></fig><table-wrap id="t4" orientation="portrait" position="float"><label>Table 4</label><caption><p>Adjusted hazards ratios (HRs) for the risk of developing diabetes during study period relative to <inline-formula><mml:math id="M282"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">log</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-per- and polyfluoroalkyl substances (PDFAS) plasma concentrations in the Diabetes Prevention Program (<inline-formula><mml:math id="M283"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>957</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M284"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mtext>events</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>204</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption><alt-text>Table 4 lists PFAS (log base 2 scale) in the first column; the corresponding hazard ratio (95 percent confidence interval) and p values are listed in the other columns separately.</alt-text><!--OASIS TABLE HERE--><table frame="hsides" rules="groups"><colgroup><col align="left"/><col/><col/></colgroup><thead><tr><th rowspan="2" align="left">PFAS (<inline-formula><mml:math id="M285"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">log</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-scale)</th><th colspan="2" align="center">Hazard ratio (HR)</th></tr><tr><th align="center">HR (95% CI)</th><th align="center"><inline-formula><mml:math id="M286"><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>-Value</th></tr></thead><tbody><tr><td align="left">PFOS</td><td align="char" char="(">0.87 (0.74, 1.02)</td><td align="char" char=".">0.08</td></tr><tr><td align="left">&#x02002;n-PFOS</td><td align="char" char="(">0.87 (0.75, 1.02)</td><td align="char" char=".">0.08</td></tr><tr><td align="left">&#x02002;Sm-PFOS</td><td align="char" char="(">0.91 (0.78, 1.06)</td><td align="char" char=".">0.21</td></tr><tr><td align="left">&#x02002;Sm2-PFOS</td><td align="char" char="(">1.00 (0.89, 1.12)</td><td align="char" char=".">0.95</td></tr><tr><td align="left">PFOA</td><td align="char" char="(">1.06 (0.89, 1.28)</td><td align="char" char=".">0.50</td></tr><tr><td align="left">&#x02002;n-PFOA</td><td align="char" char="(">1.03 (0.85, 1.24)</td><td align="char" char=".">0.77</td></tr><tr><td align="left">&#x02002;Sb-PFOA</td><td align="char" char="(">1.11 (1.00, 1.23)</td><td align="char" char=".">0.04</td></tr><tr><td align="left">PFHxS</td><td align="char" char="(">0.98 (0.86, 1.12)</td><td align="char" char=".">0.79</td></tr><tr><td align="left">Et-PFOSA-AcOH</td><td align="char" char="(">0.97 (0.88, 1.08)</td><td align="char" char=".">0.58</td></tr><tr><td align="left">Me-PFOSA-AcOH</td><td align="char" char="(">0.96 (0.84, 1.08)</td><td align="char" char=".">0.49</td></tr><tr><td align="left">PFNA</td><td align="char" char="(">0.99 (0.87, 1.12)</td><td align="char" char=".">0.82</td></tr></tbody></table><table-wrap-foot><fn fn-type="abbr"><p>Note: Adjusted for participant sex, race/ethnicity, BMI (continuous), age (categorical), marital status (categorical), education (categorical), smoking history (categorical), and treatment assignment (placebo/lifestyle). CI, confidence interval; Et-PFOSA-AcOH, <italic>N</italic>-ethyl-perfluorooctane sulfonamido acetic acid; Me-PFOSA-AcOH, <italic>N</italic>-methyl-perfluorooctane sulfonamido acetic acid; n-PFOA, linear perfluorooctanoic acid; n-PFOS, linear perfluorooctanesulfonic acid; PFHxS, perfluorohexane sulfonic acid; PFNA, perfluorononanoic acid; PFOA, perfluorooctanoic acid; PFOS, perfluorooctanesulfonic acid; Sb-PFOA, sum of perfluoromethylheptanoic and perfluorodimethylhexanoic acids; Sm-PFOS, sum of perfluoromethylheptane sulfonic acid isomers; Sm2-PFOS, sum of perfluorodimethylhexane sulfonic acid isomers.</p></fn></table-wrap-foot></table-wrap><p>We observed a significant statistical interaction (<inline-formula><mml:math id="M287"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mrow><mml:mtext>interaction</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.036</mml:mn></mml:mrow></mml:math></inline-formula>) between Me-PFOSA-AcOH concentration and treatment assignment. Stratified analyses suggested that higher plasma Me-PFOSA-AcOH concentration might be inversely associated with diabetes incidence among participants assigned to the placebo group (<inline-formula><mml:math id="M288"><mml:mrow><mml:mtext>HR</mml:mtext><mml:mo>=</mml:mo><mml:mn>0.89</mml:mn></mml:mrow></mml:math></inline-formula>, 95% CI: 0.77, 1.03), but positively associated with diabetes for individuals in the intensive lifestyle intervention group (<inline-formula><mml:math id="M289"><mml:mrow><mml:mtext>HR</mml:mtext><mml:mo>=</mml:mo><mml:mn>1.14</mml:mn></mml:mrow></mml:math></inline-formula>, 95% CI: 0.91, 1.42). All analyses stratified by treatment assignment were not statistically significant within either the placebo or lifestyle intervention arms of the trial, and therefore, these results should be cautiously interpreted (Table S5).</p><p>Lastly, in sensitivity analyses, we evaluated effect modification by both sex and BMI at baseline. Neither sex nor BMI at baseline modified the association between baseline PFAS plasma concentrations and diabetes incidence (Tables S6 and S7). All final adjusted Cox models met the proportional hazards assumption (global test <inline-formula><mml:math id="M290"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&#x0003e;</mml:mo><mml:mn>0.10</mml:mn></mml:mrow></mml:math></inline-formula>), and visual inspection of the Schoenfeld residuals also supported appropriate model fit.</p></sec></sec><sec id="s4"><title>Discussion</title><p>In this study of adults at high risk of type 2 diabetes, plasma concentrations of several PFAS measured at baseline were cross-sectionally associated with higher markers of insulin resistance and <inline-formula><mml:math id="M291"><mml:mrow><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mo>-</mml:mo><mml:mtext>cell</mml:mtext></mml:mrow></mml:math></inline-formula> function at baseline. These associations were largely consistent across similar key glycemic indicators across multiple PFAS biomarkers. Although the magnitude of effect estimates were relatively small and thus of uncertain clinical significance, at the population level, they may be an important modifiable risk factor of metabolic risk. However, there was no strong evidence that baseline plasma PFAS influenced trajectories of insulin resistance and <inline-formula><mml:math id="M292"><mml:mrow><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mo>-</mml:mo><mml:mtext>cell</mml:mtext></mml:mrow></mml:math></inline-formula> function during up to 4.6 y of follow-up. Concentrations of the branched isomers of PFOA (Sb-PFOA) were associated with incident diabetes, but this association should be interpreted with caution, as this was only one of several associations examined, and the concentrations of these isomers were relatively low and carry higher measurement error due to the moderate proportion of nondetectable values among participants.</p><p>PFAS are structural homologs of fatty acids, and scientific evidence suggests PFAS can disrupt metabolism and endocrine function (<xref rid="c19" ref-type="bibr">Guruge et al. 2006</xref>; <xref rid="c44" ref-type="bibr">Pedersen et al. 2016</xref>). Experimental studies and animal models have shown that PFAS can act as agonists of the peroxisome proliferator&#x02013;activated receptor-alpha (<inline-formula><mml:math id="M293"><mml:mrow><mml:mtext>PPAR</mml:mtext><mml:mi mathvariant="normal">&#x003b1;</mml:mi></mml:mrow></mml:math></inline-formula>), which might lead to liver damage (<xref rid="c26" ref-type="bibr">Intrasuksri et al. 1998</xref>; <xref rid="c34" ref-type="bibr">Lau et al. 2007</xref>; <xref rid="c47" ref-type="bibr">Sohlenius et al. 1993</xref>). Specifically, activation of <inline-formula><mml:math id="M294"><mml:mrow><mml:mtext>PPAR</mml:mtext><mml:mi mathvariant="normal">&#x003b1;</mml:mi></mml:mrow></mml:math></inline-formula> can regulate peroxisome proliferation, lipid metabolism, and cell growth, and this receptor is experimentally shown to be activated by PFAS treatment (<xref rid="c46" ref-type="bibr">Shipley et al. 2004</xref>). In mice, PFOA exposure altered normal glucose metabolism and increased insulin sensitivity (<xref rid="c55" ref-type="bibr">Yan et al. 2015</xref>). Also in mice, prenatal and lactational exposure to PFOS resulted in impaired glucose tolerance and higher levels of insulin later in life (<xref rid="c39" ref-type="bibr">Lv et al. 2013</xref>). Although such experimental evidence suggests that PFAS can disrupt the endocrine system, epidemiologic evidence for effects on human health at environmentally relevant concentrations remains conflicted.</p><p>Several epidemiological studies have investigated the association between exposure to PFAS, diabetes incidence, and markers of both metabolism and glycemia with inconsistent results. For example, DuPont Washington Works workers occupationally exposed to some PFAS had an increased risk in mortality from diabetes compared to other workers (<xref rid="c35" ref-type="bibr">Leonard et al. 2008</xref>). Similarly, another occupationally exposed population had a higher than expected risk of diabetes-related deaths compared to nonexposed workers (<xref rid="c38" ref-type="bibr">Lundin et al. 2009</xref>). However, these two occupational studies lacked objective measurements of exposure and might be subject to exposure misclassification and bias. In a cohort study among elderly Swedish, serum PFNA and PFOA concentrations showed a nonlinear association with diabetes prevalence (<xref rid="c37" ref-type="bibr">Lind et al. 2014</xref>). Another study conducted in Taiwanese adults found a positive association between serum PFOS concentrations and diabetes prevalence. However, in this same study, a protective association was observed between PFOA, PFNA, and perfluoroundecanoic acid (PFUA) and prevalence of diabetes (<xref rid="c49" ref-type="bibr">Su et al. 2016</xref>). A large case-control study of individuals living in areas of West Virginia and Ohio where drinking water had been contaminated with high levels of PFOA, the C8 Health Project reported a protective association for PFOA serum concentrations and type 2 diabetes (<xref rid="c40" ref-type="bibr">MacNeil et al. 2009</xref>). Within this same population, implementing a retrospective longitudinal study with estimated exposure measures of PFOA, no association was observed for incident diabetes or fasting glucose levels (<xref rid="c28" ref-type="bibr">Karnes et al. 2014</xref>). Additionally, in a cross-sectional survey of the C8 Health Project, protective associations for serum concentration of PFOS, PFOA, PFHxS, and PFNA and diabetes prevalence were observed (<xref rid="c8" ref-type="bibr">Conway et al. 2016</xref>). However, studies from the C8 Health Project may not be generalizable to other populations, including ours, as PFOA exposures were much higher as a result of drinking water contamination in this region (<xref rid="c18" ref-type="bibr">Frisbee et al. 2009</xref>).</p><p>Associations for markers of insulin resistance and metabolism are also conflicting across epidemiological studies. For example, in a cross-sectional analysis of a U.S. representative sample from NHANES 1999&#x02013;2000 and 2003&#x02013;2004, higher serum PFNA was associated with hyperglycemia but with lower risk of metabolic syndrome, while PFOA was associated with higher <inline-formula><mml:math id="M295"><mml:mrow><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mo>-</mml:mo><mml:mtext>cell</mml:mtext></mml:mrow></mml:math></inline-formula> function, and PFOS was associated with higher insulin, HOMA-IR, and <inline-formula><mml:math id="M296"><mml:mrow><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mo>-</mml:mo><mml:mtext>cell</mml:mtext></mml:mrow></mml:math></inline-formula> function (<xref rid="c36" ref-type="bibr">Lin et al. 2009</xref>). However, an analysis limited to the 2003&#x02013;2004 NHANES cycle found no evidence of an association of PFAS with HOMA-IR (<xref rid="c42" ref-type="bibr">Nelson et al. 2010</xref>). Similarly in the 2007&#x02013;2008 Canadian Health Measures Survey, PFOS, PFOA, and PFHxS serum concentrations were not associated with plasma insulin, HOMA-IR, or metabolic syndrome (<xref rid="c15" ref-type="bibr">Fisher et al. 2013</xref>). In a study of Taiwanese adults, only PFOS was associated with higher glucose levels post-OGTT, but PFOA, PFNA, and PFUA were inversely associated with post glucose-load measurements, suggesting a protective effect (<xref rid="c49" ref-type="bibr">Su et al. 2016</xref>). In the elderly Swedish cohort, no associations were observed for seven of the PFAS measured with HOMA-IR, but PFOA was positively associated with the ratio of proinsulin to insulin (<xref rid="c37" ref-type="bibr">Lind et al. 2014</xref>). In a U.S.-based birth cohort (Project Viva), prenatal PFAS plasma concentrations were not associated with metabolic or glycemic measurements in in midchildhood (<inline-formula><mml:math id="M297"><mml:mrow><mml:mo>&#x0223c;</mml:mo><mml:mn>8</mml:mn><mml:mspace width="0.3em"/><mml:mi mathvariant="normal">y</mml:mi></mml:mrow></mml:math></inline-formula> of age). However, in Project Viva, higher midchildhood PFAS concentrations were cross-sectionally associated with lower HOMA-IR at the same time point, suggesting a protective cross-sectional association (<xref rid="c16" ref-type="bibr">Fleisch et al. 2017</xref>). Conversely, in a Danish cohort of children, higher PFOS and PFOA plasma concentrations were cross-sectionally associated with higher HOMA-IR and <inline-formula><mml:math id="M298"><mml:mrow><mml:mtext>HOMA</mml:mtext><mml:mo>-</mml:mo><mml:mi mathvariant="normal">&#x003b2;</mml:mi></mml:mrow></mml:math></inline-formula> among overweight children (<xref rid="c50" ref-type="bibr">Timmermann et al. 2014</xref>). It is important to highlight that the majority of these studies were cross-sectional, and some lacked accurate biomarkers of exposure, had limited information on metabolic or glycemic biomarkers, and/or relied on self-reported diabetes prevalence not confirmed with OGTT or fasting glucose levels. Although we observed robust cross-sectional associations between higher PFOS, PFOA, PFHxS, and Et-PFOSA-AcOH and higher <inline-formula><mml:math id="M299"><mml:mrow><mml:mtext>HOMA</mml:mtext><mml:mo>-</mml:mo><mml:mi mathvariant="normal">&#x003b2;</mml:mi></mml:mrow></mml:math></inline-formula>, only PFOA and PFHxS remained associated with the corrected measure of insulin response as well as the insulinogenic index. These two measures reflect insulin secretion and <inline-formula><mml:math id="M300"><mml:mrow><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mo>-</mml:mo><mml:mtext>cell</mml:mtext></mml:mrow></mml:math></inline-formula> function more accurately (<xref rid="c21" ref-type="bibr">Hanson et al. 2000</xref>; <xref rid="c23" ref-type="bibr">Herzberg-Sch&#x000e4;fer et al. 2010</xref>). A prospective study found that higher prenatal plasma PFOA concentrations were associated with increased overweight prevalence and greater waist circumference in females but not male offspring at age 20 y (<xref rid="c20" ref-type="bibr">Halldorsson et al. 2012</xref>). This study also showed that prenatal concentrations of PFOA, but not PFOS, PFNA, or perfluorooctane sulfonamide were associated with elevated insulin and leptin and a decrease in adiponectin levels among female offspring at 20 y of age. Another prospective study among women planning to become pregnant found a significant association between serum PFOA concentrations and risk of gestational diabetes, but not for other PFAS (<xref rid="c56" ref-type="bibr">Zhang et al. 2015</xref>). A recent prospective cohort of European children reported prospective associations between childhood PFOS concentration and increase adiposity in adolescence, as well as childhood PFOA concentration and a large decrease in <inline-formula><mml:math id="M301"><mml:mrow><mml:mi mathvariant="normal">&#x003b2;</mml:mi><mml:mo>-</mml:mo><mml:mtext>cell</mml:mtext></mml:mrow></mml:math></inline-formula> function in adolescence (<xref rid="c14" ref-type="bibr">Domazet et al. 2016</xref>). Furthermore, a computational modeling approach combining genomic information, disease similarities, and high-quality scientific literature significantly associated PFOA, among other chemicals, such as arsenic, hexachlorobenzene, and 2,3,7,8-tetrachlorodibenzo-<italic>p</italic>-dioxin, with type 2 diabetes (<xref rid="c1" ref-type="bibr">Audouze et al. 2013</xref>). This is consistent with our results in which we observed robust positive associations of plasma PFOA concentrations at baseline with higher glycemic measurements and lower adiponectin levels measured at the same time point. Furthermore, the effect sizes for the estimated associations with the metabolic or glycemic measurements were greater for PFOA compared to any other PFAS measured. Likewise, only branched isomers of PFOA (Sb-PFOA) were associated with diabetes incidence in our study, suggesting that PFOA might be more tightly related to glycemic control compared to other PFAS. However, this result should be interpreted with caution, as concentrations of Sb-PFOA were relatively low and nondetectable in approximately 17% of participants. Our findings highlight the importance of distinguishing branched and linear isomers of PFOA and PFOS in experimental and epidemiological studies along with the ascertainment of potential sources of exposure. Telomerization primarily produces linear PFAS, and electrochemical fluorination (ECF) yields a mixture of both linear and branched isomers (<xref rid="c4" ref-type="bibr">Buck et al. 2011</xref>). Human exposure to PFAS from ECF is hypothesized to be declining due to changes in manufacturing processes, including phase out (<xref rid="c2" ref-type="bibr">Beesoon et al. 2011</xref>). However, in animal models, excretion of branched PFOA isomers is favored, and this could lead to quantification of exposure biomarkers that are predominately linear in population studies (<xref rid="c3" ref-type="bibr">Benskin et al. 2010</xref>), making it difficult to distinguish the exposure source(s) without collecting other information such as home environment, drinking water contamination, dietary patterns, and proximity to industrial facilities, among other factors. Furthermore, source characterization is also complicated by exposure to precursors of PFAS found in serum (<xref rid="c9" ref-type="bibr">D&#x02019;eon and Mabury 2011</xref>).</p><p>Despite their cross-sectional consistent associations with key glycemic indicators, most baseline PFAS concentrations were not prospectively associated with glycemic indicators in this analysis. Cross-sectional associations observed in our study might be prone to reverse causation. For example, previous studies have argued that physiological factors such as glomerular filtration rate (GFR), which affects PFAS concentration in blood, might confound associations between PFAS concentration and health outcomes such as birthweight (<xref rid="c52" ref-type="bibr">Verner et al. 2015</xref>) and age at menopause (<xref rid="c11" ref-type="bibr">Dhingra et al. 2017</xref>). Even though there is no direct evidence of potential confounding for diabetes, glycemic indicators, and PFAS, there is evidence that GFR is associated with both diabetes progression and risk as well as metabolic dysfunction (<xref rid="c25" ref-type="bibr">Hu et al. 2017</xref>; <xref rid="c41" ref-type="bibr">Naderpoor et al. 2017</xref>). It is possible that in this prediabetic cohort, altered GFR might confound cross-sectional associations between baseline glycemic indicators and measured PFAS serum concentrations. Therefore, cross-sectional results must be interpreted with caution, as reverse causation cannot be ruled out.</p><p>As previously demonstrated in the DPP, the effect of the lifestyle intervention was strongly associated with diabetes incidence and had a large influence on metabolic and glycemic markers over time (<xref rid="c30" ref-type="bibr">Kitabchi et al. 2005</xref>). Although we controlled for treatment effect in all longitudinal models, the treatment effect could have explained almost all of the variation observed in the longitudinal data. Stratified analyses by treatment and interaction models might be underpowered to detect these associations for diabetes incidence or glycemic and metabolic markers in the placebo-control group. It is also possible that the length of follow-up time could have been too short to capture the effects of PFAS prospectively, and this could explain the effects observed at baseline, but not during the follow-up period. Correspondingly, the moderate associations at baseline may reflect metabolic damage already caused by past PFAS exposure, and no further alterations over time could have been observed during this short study period. Additionally, timing of exposure could also play a role in the association of PFAS and metabolic markers, as some prospective studies of prenatal and childhood exposure have reported prospective associations not observed in this obese and overweight adult prediabetic population. It has been suggested that developmental periods may present heightened susceptibility windows for endocrine disruption during fetal and infant development that could explain the lack of prospective associations in our study (<xref rid="c33" ref-type="bibr">Landrigan et al. 2003</xref>). Alternatively, our baseline cross-sectional results could have been also due to chance, but we consider this to be highly unlikely, as we observed consistent robust associations among many glycemic and metabolic markers in the direction hypothesized <italic>a priori</italic>, consistent with experimental studies.</p><p>This study has many strengths that include the objective ascertainment of plasma PFAS coupled with a strong prospective study design with stringent clinical diagnosis of diabetes that was confirmed during a secondary follow-up clinical visit. Furthermore, we have high-quality information on multiple metabolic and glycemic clinical markers during approximately 3 y of follow-up. Detailed covariate information was also available and adjusted for in multivariate models, reducing the chance for confounding. However, we lacked important information from hypothesized sources of exposures such as drinking water concentrations, diet, home environment, or other information on potential sources of PFAS exposure. The sample size available was moderate, and the number of participants that developed diabetes during the study period was substantial due to the high-risk preselection criteria. About two-thirds of participants were women, and outreach for the inclusion of minorities was also performed by DPP, making our results more generalizable. However, all individuals in this study had some level of abnormal endocrine function at enrollment as abnormal glucose levels, and being overweight or obese were among the selection criteria used. Therefore, our results may not be generalizable to healthy individuals with normal endocrine function or children. Finally, although we adjusted for many important demographic confounders, residual confounding may remain.</p></sec><sec id="s5"><title>Conclusion</title><p>In summary, our findings show that plasma PFAS concentrations in prediabetic individuals are consistently but modestly associated cross-sectionally with higher markers of metabolic dysfunction. However, in this population of individuals at high risk for type 2 diabetes, there was limited evidence suggesting that plasma PFAS concentrations at baseline influenced glycemic measurements over a median follow-up time of approximately 3 y. Furthermore, there was limited evidence for an association of plasma PFAS concentrations and incidence of diabetes, as only branched isomers of PFOA in serum were associated with incident diabetes.</p><p>Thus, our study supports a cross-sectional association between plasma PFAS concentrations and several markers of metabolic damage measured among individuals with prediabetes, but their ability to influence metabolic markers or diabetes incidence during the follow-up time was not found in this population.</p></sec><sec><title>Supplemental Material</title><supplementary-material content-type="local-data" id="EHP1612.s001"><label>(719 KB) PDF</label><media xlink:href="EHP1612.s001.acco.pdf"><caption><p>Click here for additional data file.</p></caption></media></supplementary-material></sec></body><back><ack><title>Acknowledgments</title><p>The authors wish to thank K. Kato, J. Ma, A. Kalathil, and T. Jia, who performed the quantification of PFAS biomarkers at the CDC, and D. Simon in the Department of Population Medicine for providing valuable logistical support for this project.</p><p>This work was supported by the National Institutes of Health grants R01ES024765 and K24HD069408. The DPP was conducted by the DPP Research Group and supported by the NIDDK, the General Clinical Research Center Program, the National Institute of Child Health and Human Development (NICHD), the National Institute on Aging (NIA), the Office of Research on Women's Health, the Office of Research on Minority Health, the CDC, and the American Diabetes Association. The data (and samples) from the DPP were supplied by the NIDDK Central Repositories (project number 1X01DK104234).</p></ack><ref-list><title>References</title><ref id="c1"><mixed-citation publication-type="journal">
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