To use electronic drug monitoring to determine if adherence to HIV antiretroviral therapy changes over time, whether changes are linear, and how the declines vary by study.
We conducted a longitudinal study of pooled data from 11 different studies of HIV infected adults using antiretroviral therapy. The main outcome was antiretroviral therapy adherence (percent of prescribed doses taken) measured by electronic drug monitoring. We modeled and compared changes in adherence over time using repeated measures linear mixed effects models and generalized additive mixed models. Indicator variables were used to examine the impact of individual studies, and the variation across studies was evaluated using study-specific parameter estimates calculated by using interaction terms of study and time.
The mean age of the subjects was 41 years, 35% were female, most had high school education or less, and 46% were African-American. In generalized additive mixed models, adherence declined over time. The generalized additive mixed models further suggested that the decline was non-linear, and in both sets of models there was considerable study-to-study variability in how adherence changed over time.
Findings may not be generalizable to non-US populations or to patients not in clinical studies.
Although overall antiretroviral therapy adherence declined with time, not all studies showed declines, and a number of patterns of change were seen. Studies that identify clinical and organizational factors associated with these different patterns are needed. Models of changes in adherence with time should take account of possible non-linear effects.
There is debate about the natural history of adherence to HIV antiretroviral therapy (ART) over time. Most studies have shown that ART adherence declines with time,
To better understand the natural history of ART adherence in the United States, we used data from the Multisite Adherence Collaboration on HIV study, or MACH14. MACH14 conducts pooled analyses with individual subject data from 16 studies drawn from 14 different research groups in 12 states, all of which used electronic data monitoring or EDM. Three main study questions were addressed by this research. First, what is the natural history of changes in antiretroviral adherence over time? Second, are these changes linear? Third, do these changes differ by study?
MACH 14 is a multisite collaboration. Each of the 16 studies that make up this collaboration was approved by that institution's Institutional Review Board.
MACH 14 included both observational (n=4) and intervention (n=12) studies. The process is described in detail elsewhere.
Because we were interested in the natural history of changes in ART adherence over time, we only included control patients in adherence intervention trials. Of the 1456 patients in the 11 eligible studies, 916 were either in observational studies or in control arms of intervention studies, and formed the analytic sample. The number of patients, intervention status, and length of follow up for each of the 11 included studies are shown in
We defined the dependent variable as ART adherence. For each patient, the time of observation was divided into one month periods. Adherence was operationalized as the number of observed openings divided by the number of prescribed doses. Typically one antiretroviral was monitored using EDM, but when more than one was monitored, we calculated an average from all monitored medications over the month. Adherence was summarized by month across the whole study population, and also by study.
The major independent variable was time measured in months. Up to 12 months of observations were assessed for each study. Studies varied in the amount of time observed. The shortest study followed patients for three months, one study followed patients for four months, two studies followed patients for six months, two studies followed patients for nine months, and six studies followed patients for 12 months.
Covariates included age in years, gender, education (high school graduate or less vs. more than high school education), race (White, African-American, Hispanic, or other), antiretroviral regimen (classified as NNRTI-based, PI-based, boosted PI-based, or other), history of substance abuse (yes/no), and whether the patient was ART naïve (yes/no).
We plotted adherence by month, and then adherence by month for each individual study in order to visualize between study differences. Because these graphs suggested that there were considerable between study differences, and also that the relationship might be nonlinear, next we modeled the relationship between adherence and time using a cubic spline model with 12 knots. To estimate the possible underlying non-linear relationships, we used the generalized additive mixed model (GAMM) that is an extension of generalized linear mixed models (GLMMs). GAMM relaxes the assumptions of normality and linearity inherent in linear regression and allows the parametric fixed effects to be modeled non-parametrically using additive smooth functions. The flexibility of non-parametric regression for the continuous predictors coupled with linear models for predictors provides a way to uncover structure within the data that may be missed using linear assumptions. GAMM modeling was carried out using the R Statistical Language and the MGCV Package.
We used a manual forward selection approach to select covariates, starting with a model that included study and a study by time interaction, and then sequentially testing the following variables: race, calendar year, regimen, ART naïve, and ART naïve by regimen. In each case, we used the likelihood ratio test to determine whether the added variable contributed significantly (p<0.05) to the model. For model diagnostics, we assessed 1) normality (the QQ-plot and the histogram of residuals), 2) homogeneity (residuals versus predictor plot, and residuals versus fitted values plot, also called the linear predictor plot for the Gaussian distribution with identity link), and 3) model fitting (fitted values versus observed values plot).
Formal modeling of missing data in longitudinal studies is complex.
Of the 916 patients studied, mean age was 41 years, and 35% were female (
Unadjusted changes in adherence by month are shown in
Variables that were statistically significant in the final, multivariable GAMM model included study, the study by time interaction, race, and calendar year. The R-squared of this final model was 0.14. These results are shown graphically in
We also tested a model that included an indicator variable for whether the study was a randomized trial or an observational study. The p-value for the indicator was 0.72.
In a Cox proportional hazards model predicting study dropout that controlled for antiretroviral regimen and study, adherence was not associated with dropout (Hazard Ratio 1.0, 95% CI 0.74-1.33, p=0.97).
There were three main findings from this research. First, across the 11 studies we studied, adherence declined with time, but this overall effect hides the fact that there was heterogeneity among studies in this decline. Second, the relationship between adherence and time was non-linear both overall and in the majority of individual studies. Third, covariate adjustment did not eliminate this heterogeneity.
Many of the previously published studies that address changes in adherence over time included patients from multiple clinical care sites.
Our data in combination with these other two studies that examined adherence levels by site suggest that aggregate data may often hide important study-level variation. This is not surprising. The 11 studies that we analyzed included both observational and intervention studies, and we have only limited data on the nature of adherence support for patients in these studies. While aggregated data is important for policy discussions, quality improvement requires care site specific data. That is, because historical factors, available resources, structural aspects of the delivery system, patient characteristics, and even provider incentives can differ widely from site to site, analyses of correlates or predictors of adherence and changes in adherence over time may yield site specific answers. We cannot know from these data why adherence in some studies declined with time and other studies did not. Answering this important question would require a study that collected a more extensive list of potential explanatory variables and that identified and characterized the care sites from which patients were recruited.
Overall, the relationship between adherence and time was non-linear, and it was non-linear for most of the studies. Existing studies use a variety of approaches to understanding changes in adherence with time, including descriptive measures,
Another advantage of using models that capture nonlinearity is that we can address other hypotheses about how adherence as measured by EDM changes over time. For example, another possible interpretation for the decline in adherence that we saw is that in studies that use EDM there may be a Hawthorne effect. That is, participants who start using EDM have higher adherence than they would otherwise have by virtue of the fact that they know that their adherence is being measured or observed. Some studies support the existence of such an effect,
We were not surprised that adjustment for race and other covariates did not eliminate differences between sites. The finding that adherence was lower in African-Americans than Whites has been demonstrated in multiple other reports,
There is variability in how prior researchers have dealt with loss to follow up. Some studies either do not mention loss to follow up or note that those lost to follow-up were excluded from analyses.
There were several study limitations. Regarding internal validity, we could not adjust for time on antiretroviral therapy prior to study entry, which, if it varied systematically between studies, could explain some of the observed variation. We also could not adjust for potentially important patient-level covariates including depression, income, social support, and patient provider relationship quality because these variables were not measured in all studies. Regarding generalizability, we studied a predominately treatment-experienced cohort cared for in the United States, and included only patients who agreed to use EDM. Thus our findings may not be generalizable to other populations or care settings. The studies we included were conducted over a time period during which there were important changes in ART regimens, particularly the addition of boosted-PIs and NNRTI's. However, our analyses controlled for calendar year, and regimen type was not associated with changes in adherence over time in our models, so we do not believe that this is an important limitation. Finally, the studies we analyzed were potentially different on multiple dimensions which we did not analyze, including the focus of the study (e.g., adherence in patients receiving methadone therapy), entry criteria (e.g., if only those with detectable viral loads were eligible to participate in an intervention trial), the nature of adherence support in study control arms, and the number of clinical care sites from which they recruited patients.
In conclusion, we found that, overall, adherence declined with time, but this was not consistent across studies. Studies that identify clinical and organizational factors associated with these different patterns are needed. Because this variability was not explained by the covariates we assessed, studies that look more carefully at how specific care processes may vary in the populations recruited by individual studies (e.g., availability of mental health services) are warranted. In conducting longitudinal analyses of adherence, our analysis suggests that investigators should take account of site and/or study effects and consider the use of non-linear models.
Unadjusted adherence levels by study month (minimum, 25th percentile, median, 75th percentile, and maximum) for all 11 studies.
Unadjusted adherence levels by study month (minimum, 25th percentile, median, 75th percentile, and maximum) for each study individually.
Fitted values for adherence from GAMM by time. The y-axis shows the contribution of the smoother to the fitted values along with the 95% confidence band.
Smoothed adherence curves over time for the 11 study sites, with 95% confidence bands. P-values for the interaction between study site and time were significant for study 1 (p=0.013), study 2 (p=0.010), study 7 (p<.0001), study 8 (p<0.0001), study 11 (p=0.0002), study 12 (p<0.0001), and study 13 (p<0.0001), study 15 (p=0.0001).
Descriptive characteristics of studies
| Study # | N | Intervention | Follow-up (months) |
|---|---|---|---|
| 1 | 81 | Yes | 6 |
| 2 | 104 | Yes | 12 |
| 5 | 63 | No | 12 |
| 6 | 81 | No | 12 |
| 7 | 54 | Yes | 4 |
| 8 | 123 | Yes | 12 |
| 10 | 53 | No | 6 |
| 11 | 69 | No | 9 |
| 12 | 108 | No | 12 |
| 13 | 48 | No | 9 |
| 15 | 132 | No | 12 |
| Totals | 916 | ||
Descriptive statistics of patients
| Patient characteristics (N=916) | |
|---|---|
| Age (years, mean (sd) | 41 (8.2) |
| Gender (% female) | 34.9 |
| Race (%) | |
| White | 27.1 |
| African-American | 45.8 |
| Hispanic | 21.1 |
| Other | 6.0 |
| Education (% HS or less) | 88.1 |
| Regimen type (%) | |
| NNRTI | 27.1 |
| Boosted PI | 16.9 |
| PI | 28.1 |
| Other | 27.9 |
| Substance Use (% ever used, N= 570) | 77.4 |
| ART experienced (%, N=684) | 76.2 |