文章基本信息

标题：Nonlinear Mixed Effects Modeling of Deterministic and Stochastic Dynamical Systems in Wolfram Mathematica ⁎
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作者：Jacob Leander ; Joachim Almquist ; Anna Johnning 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：7
页码：409-414
DOI：10.1016/j.ifacol.2021.08.394
语种：English
出版社：Elsevier
摘要：AbstractNonlinear mixed effects (NLME) modeling is a powerful tool to analyze time-series data from several individual entities in an experiment. In this paper, we give a brief overview of a package for NLME modeling in Wolfram Mathematica entitled NLMEModeling, implementing the first-order conditional estimation method with sensitivity equation-based gradients for parameter estimation. NLMEModeling supports mixed effects modeling of dynamical systems where the underlying dynamics are described by either ordinary or stochastic differential equations combined with observation equations with flexible observation error models. Moreover, NLMEModeling is a user-friendly package with functionality for parameter estimation, model diagnostics (such as goodness-of-fit analysis and visual predictive checks), and model simulation. The package is freely available and provides an extensible add-on to Wolfram Mathematica.
关键词：KeywordsNonlinear mixed effectsDynamical system modelsOrdinary differential equationsStochastic differential equationsWolfram MathematicaFirst-order conditional estimation (FOCE)Modeling software