NLMEModeling: A Wolfram Mathematica Package for Nonlinear Mixed Effects Modeling of Dynamical Systems

TL;DR

NLMEModeling is a user-friendly Wolfram Mathematica package that enables nonlinear mixed effects modeling of dynamical systems, supporting both ordinary and stochastic differential equations with validation and simulation features.

Contribution

It introduces NLMEModeling, a new Mathematica package that simplifies nonlinear mixed effects modeling of complex dynamical systems with advanced validation tools.

Findings

Supports modeling with ordinary and stochastic differential equations

Includes validation, visual checks, and simulation features

Freely available as an add-on for Wolfram Mathematica

Abstract

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.