A particle finite element-based framework for differentiation paths of stem cells to myocytes and adipocytes: Hybrid cell-based and finite element modeling

F. J. Vermolen*, S. D. Harrevelt, A. Gefen, D. Weihs

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

2 Scopus citations

Abstract

We propose a mathematical formalism and method for simulating the effects of the mechanochemical environment on the differentiation path and fate of stem cells. We provide a numerical methodology used for the numerical approximation of solutions of partial differential equations, based on a finite element approach, to describe the time evolution and spatial distribution of chemical and mechanical signals. Further, all cells are considered as independent entities, which may migrate through the domain of computation and which are subject to differentiation, division, and evolution of geometry. The model is applied to the development of adipose and muscle tissue. The developed framework is generic and can be applied to other similar biological processes and medical applications.

Original languageEnglish
Title of host publicationNumerical Methods and Advanced Simulation in Biomechanics and Biological Processes
PublisherElsevier Inc.
Pages171-185
Number of pages15
ISBN (Electronic)9780128117194
ISBN (Print)9780128117187
DOIs
StatePublished - 2018

Keywords

  • Adipocytes
  • Cell-based model
  • Finite element method
  • Hybrid model
  • Myocytes
  • Stem cells

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