Ornstein-Uhlenbeck threshold regression for time-to-event data with and without a cure fraction

Details

• Personal Author:
  Erich R ; Pennell ML
• Description:
  In this paper we propose a threshold regression (TR) model for time to event data related to subject health using a latent Ornstein-Uhlenbeck (OU) process that fails once it hits a boundary value for the first time. Baseline covariates are incorporated into the analysis using a log-link function for the initial state of the health process. The model provides clinically meaningful covariate effects and does not require the proportional hazards assumption of the commonly used Cox model. Unlike TR models based on the Wiener process, the OU model allows increments in the health process to depend on previous values and drifts toward a state of equilibrium or homeostasis, which are present in many biological applications. We also extend our model to incorporate a cure rate for applications with improper survival functions, such as time to tumor recurrence in a cancer clinical trial. Our models are applied to overall and relapse-free survival data of melanoma patients undergoing definitive surgery. [Description provided by NIOSH]
• Subjects:
  Neoplasms Occupational Health Safety Skin Skin Diseases
• Keywords:
  Author Keywords: Cancer Clinical Trial Cancer Cancer Rates First Hitting Time Model Gaussian Process Mathematical Models Mixture Model Models Nonproportional Hazards Skin Cancer Statistical Analysis Survival Analysis

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• ISSN:
  1380-7870
• Document Type:
  Text
• Funding:
  Grant
• Genre:
  Journal Article
• Place as Subject:
  Maryland ; OSHA Region 3
• CIO:
  National Institute for Occupational Safety and Health (NIOSH)
• Topic:
  Workplace Safety & Health
• Location:
  North America
• Pages in Document:
  1-19
• Volume:
  21
• Issue:
  1
• NIOSHTIC Number:
  nn:20047649
• Citation:
  Lifetime Data Anal 2015 Jan; 21(1):1-19
• Contact Point Address:
  Michael L. Pennell, Division of Biostatistics, College of Public Health, The Ohio State University, 246 Cunz Hall, 1841 Neil Avenue, Columbus, OH, 43210, USA
• Email:
  pennell.28@osu.edu
• Federal Fiscal Year:
  2015
• Performing Organization:
  University of Maryland - College Park
• Peer Reviewed:
  True
• Start Date:
  20060901
• Source Full Name:
  Lifetime Data Analysis
• End Date:
  20090831
• Collection(s):
  National Institute for Occupational Safety and Health
• Main Document Checksum:
  urn:sha-512:58cf21b4eb25cb57fdf0bb42f256bba91a16f20c6f2951615f8490119c64c7661a174873efd79c082b22b9e6d4e27585fba3126643d4f3e6e7db37b134b9fd33
• Download URL:
  https://stacks.cdc.gov/view/cdc/202663/cdc_202663_DS1.pdf
• File Type:
  [PDF - 391.12 KB ]