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)


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)

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