Ornstein-Uhlenbeck threshold regression for time-to-event data with and without a cure fraction.
Ornstein-Uhlenbeck threshold regression for time-to-event data with and without a cure fraction.
复制标题
具有和不具有治愈分数的事件时间数据的 Ornstein-Uhlenbeck 阈值回归。
DOI：
10.1007/s10985-014-9306-8
复制
发表时间：
2015
影响因子：
1.3
通讯作者：
Pennell,MichaelL
中科院分区：
文献类型：
--
作者：
Erich,Roger;Pennell,MichaelL
在本文中，我们提出了一个阈值回归（TR）模型的时间到事件的数据相关的主题健康使用一个潜在的Ornstein-Uhlenbeck（OUH）过程，一旦它第一次击中边界值失败。基线协变量使用对数链接函数纳入健康过程初始状态的分析中。该模型提供了具有临床意义的协变量效应，不需要常用考克斯模型的比例风险假设。与基于Wiener过程的TR模型不同，该模型允许健康过程中的增量取决于先前的值，并向平衡或稳态状态漂移，这在许多生物学应用中存在。我们还扩展了我们的模型，以纳入具有不适当生存函数的应用程序的治愈率，例如癌症临床试验中的肿瘤复发时间。我们的模型适用于接受最终手术的黑色素瘤患者的总体和无复发生存数据。
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.