Section: Scientific Foundations

Nonlinear mixed effect models

Mathematical modelling of the dynamic processes involved in biological processes constitutes an important application in biostatistics. Mixed effect models are very useful for modelling the variability within a population of these dynamic processes. Several statistical issues can be studied related to these models, such as parameter estimation, model selection (covariate model through the specification of fixed effect structure, covariance model for random effects), models defined by Ordinary or Stochastic Differential Equations, left censored models, hidden Markov models as well as design optimization for the trial itself.