A Particle Finite Element-Based Framework for Differentiation Paths of Stem Cells to Myocytes and Adipocytes

Hybrid Cell-Based and Finite Element Modeling

Book chapter (2018)

Authors

F.J. Vermolen Numerical Analysis - EEMCS
S.D. Harrevelt External organisation
A Gefen Tel Aviv University
D. Weihs Technion
Research Group
Numerical Analysis (EEMCS) (TU Delft)
Finite element method Stem cells Cell-based model Hybrid model Adipocytes Myocytes
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Published Date

2018

Language

English

Reuse Rights

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Numerical Analysis

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.