NLMEModeling: A Wolfram Mathematica Package for Nonlinear Mixed Effects Modeling of Dynamical Systems
Preprint, 2020
Nonlinear mixed effects modeling is a powerful tool when analyzing data from several entities in an experiment. In this paper, we present NLMEModeling, a package for mixed effects modeling in Wolfram Mathematica. NLMEModeling supports mixed effects modeling of dynamical systems where the underlying dynamics are described by either ordinary or stochastic differential equations combined with a flexible observation error model. Moreover, NLMEModeling is a user-friendly package with functionality for model validation, visual predictive checks and simulation capabilities. The package is freely available and provides a flexible add-on to Wolfram Mathematica.
Nonlinear mixed effects
Stochastic differential equations
First-order conditional estimation (FOCE)
Modeling software
Wolfram Mathematica
Ordinary differential equations
Dynamical models
Author
Jacob Leander
Fraunhofer-Chalmers Centre
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
Joachim Almquist
AstraZeneca AB
Anna Johnning
Fraunhofer-Chalmers Centre
Julia Larsson
Fraunhofer-Chalmers Centre
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
Mats Jirstrand
Fraunhofer-Chalmers Centre
Subject Categories (SSIF 2011)
Computational Mathematics
Probability Theory and Statistics
Areas of Advance
Health Engineering
Life Science Engineering (2010-2018)