Bayesian Analysis of Mixed-effect Regression Models Driven by Ordinary Differential Equations

• Published in: Sankhyā. Series B (2008) Vol. 83; no. 1; pp. 3 - 29
• Main Authors: Tan, Qianwen, Ghosal, Subhashis
• Format: Journal Article
• Language: English
• Published: New Delhi Springer Science + Business Media 01.05.2021; Springer India
• Subjects: Mathematics and Statistics; Statistics; Primary 62J02; Secondary 62G20; ODE models; Two-step method; 62G08; Random effects; Longitudinal data; Bayesian inference; 62F15; B-splines

Non-linear regression models with regression functions specified by ordinary differential equations (ODEs) involving some unknown parameters are used to model dynamical systems appearing in pharmacokinetics and pharmacodynamics, viral dynamics, engineering, and many other fields. We consider the sit...