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.

Ordinary differential equations

Nonlinear mixed effects

First-order conditional estimation (FOCE)

Stochastic differential equations

Modeling software

Dynamical models

Wolfram Mathematica

Författare

Jacob Leander

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Joachim Almquist

Systembiologi

Anna Johnning

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Julia Larsson

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Mats Jirstrand

Stiftelsen Fraunhofer-Chalmers Centrum för Industrimatematik

Ämneskategorier

Beräkningsmatematik

Sannolikhetsteori och statistik

Styrkeområden

Hälsa och teknik

Livsvetenskaper och teknik (2010-2018)

Mer information

Senast uppdaterat

2021-04-07