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.
Wolfram Mathematica
Modeling software
Dynamical models
Ordinary differential equations
Nonlinear mixed effects
Stochastic differential equations
First-order conditional estimation (FOCE)
Author
Jacob Leander
Fraunhofer-Chalmers Centre
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
Joachim Almquist
AstraZeneca R&D
Anna Johnning
Fraunhofer-Chalmers Centre
Julia Larsson
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
Fraunhofer-Chalmers Centre
Mats Jirstrand
Fraunhofer-Chalmers Centre
Subject Categories
Computational Mathematics
Probability Theory and Statistics
Areas of Advance
Health Engineering
Life Science Engineering (2010-2018)