NLMEModeling is a Mathematica application for parameter estimation of nonlinear mixed-effects models of dynamical systems given time-series data from a set of subjects.
Models are specified in terms of parametrized systems of ordinary or stochastic differential equations together with a set of observation expressions. The application provides functions for parameter estimation, model validation, visualization of population data and model predictions, and simulation for synthetic data generation.
The application and the methods used are described in the publications
- NLMEModeling: A Wolfram Mathematica Package for Nonlinear Mixed Effects Modeling of Dynamical Systems
- Exact Gradients Improve Parameter Estimation in Nonlinear Mixed Effects Models with Stochastic Dynamics
- Using Sensitivity Equations for Computing Gradients of the FOCE and FOCEI Approximations to the Population likelihood
The application package can be obtained by sending a request to firstname.lastname@example.org.