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; Seb Harrevelt; A. Gefen; D. Weihs

doi:10.1016/B978-0-12-811718-7.00009-5

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^*, Seb Harrevelt, A. Gefen, D. Weihs

^*Corresponding author for this work

Numerical Analysis

Research output: Chapter in Book/Conference proceedings/Edited volume › Chapter › Scientific › peer-review

2 Citations (Scopus)

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 language	English
Title of host publication	Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes
Editors	Miguel Cerrolaza, Sandra Shefelbine, Diego Garzón-Alvarado
Publisher	Elsevier
Pages	171-185
Number of pages	15
ISBN (Electronic)	9780128117194
ISBN (Print)	9780128117187
DOIs	https://doi.org/10.1016/B978-0-12-811718-7.00009-5
Publication status	Published - 2018

Bibliographical note

Chapter 9

Keywords

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

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10.1016/B978-0-12-811718-7.00009-5

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Vermolen, F. J., Harrevelt, S., Gefen, A., & Weihs, D. (2018). A Particle Finite Element-Based Framework for Differentiation Paths of Stem Cells to Myocytes and Adipocytes: Hybrid Cell-Based and Finite Element Modeling. In M. Cerrolaza, S. Shefelbine, & D. Garzón-Alvarado (Eds.), Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes (pp. 171-185). Elsevier. https://doi.org/10.1016/B978-0-12-811718-7.00009-5

Vermolen, F. J. ; Harrevelt, Seb ; Gefen, A. et al. / A Particle Finite Element-Based Framework for Differentiation Paths of Stem Cells to Myocytes and Adipocytes : Hybrid Cell-Based and Finite Element Modeling. Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes. editor / Miguel Cerrolaza ; Sandra Shefelbine ; Diego Garzón-Alvarado. Elsevier, 2018. pp. 171-185

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Vermolen, FJ, Harrevelt, S, Gefen, A & Weihs, D 2018, A Particle Finite Element-Based Framework for Differentiation Paths of Stem Cells to Myocytes and Adipocytes: Hybrid Cell-Based and Finite Element Modeling. in M Cerrolaza, S Shefelbine & D Garzón-Alvarado (eds), Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes. Elsevier, pp. 171-185. https://doi.org/10.1016/B978-0-12-811718-7.00009-5

A Particle Finite Element-Based Framework for Differentiation Paths of Stem Cells to Myocytes and Adipocytes: Hybrid Cell-Based and Finite Element Modeling. / Vermolen, F. J.; Harrevelt, Seb; Gefen, A. et al.
Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes. ed. / Miguel Cerrolaza; Sandra Shefelbine; Diego Garzón-Alvarado. Elsevier, 2018. p. 171-185.

Research output: Chapter in Book/Conference proceedings/Edited volume › Chapter › Scientific › peer-review

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T1 - A Particle Finite Element-Based Framework for Differentiation Paths of Stem Cells to Myocytes and Adipocytes

T2 - Hybrid Cell-Based and Finite Element Modeling

AU - Vermolen, F. J.

AU - Harrevelt, Seb

AU - Gefen, A.

AU - Weihs, D.

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AB - 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.

KW - Adipocytes

KW - Cell-based model

KW - Finite element method

KW - Hybrid model

KW - Myocytes

KW - Stem cells

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SN - 9780128117187

SP - 171

EP - 185

BT - Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes

A2 - Cerrolaza, Miguel

A2 - Shefelbine, Sandra

A2 - Garzón-Alvarado, Diego

PB - Elsevier

ER -

Vermolen FJ, Harrevelt S, Gefen A, Weihs D. A Particle Finite Element-Based Framework for Differentiation Paths of Stem Cells to Myocytes and Adipocytes: Hybrid Cell-Based and Finite Element Modeling. In Cerrolaza M, Shefelbine S, Garzón-Alvarado D, editors, Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes. Elsevier. 2018. p. 171-185 doi: 10.1016/B978-0-12-811718-7.00009-5

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

Abstract

Bibliographical note

Keywords

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