A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes

Q. Peng; F. J. Vermolen; D. Weihs

doi:10.1007/s10237-021-01456-2

A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes

Q. Peng^*, F. J. Vermolen, D. Weihs

^*Corresponding author for this work

Numerical Analysis

Research output: Contribution to journal › Article › Scientific › peer-review

8 Citations (Scopus)

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Abstract

The phenomenological model for cell shape deformation and cell migration Chen (BMM 17:1429–1450, 2018), Vermolen and Gefen (BMM 12:301–323, 2012), is extended with the incorporation of cell traction forces and the evolution of cell equilibrium shapes as a result of cell differentiation. Plastic deformations of the extracellular matrix are modelled using morphoelasticity theory. The resulting partial differential differential equations are solved by the use of the finite element method. The paper treats various biological scenarios that entail cell migration and cell shape evolution. The experimental observations in Mak et al. (LC 13:340–348, 2013), where transmigration of cancer cells through narrow apertures is studied, are reproduced using a Monte Carlo framework.

Original language	English
Pages (from-to)	1459-1475
Number of pages	17
Journal	Biomechanics and Modeling in Mechanobiology
Volume	20
Issue number	4
DOIs	https://doi.org/10.1007/s10237-021-01456-2
Publication status	Published - 2021

Keywords

Agent-based modelling
Cell geometry
Cell migration
Cellular traction forces
Finite-element method

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10.1007/s10237-021-01456-2

Peng2021_Article_AFormalismForModellingTractionFinal published version, 3.82 MBLicence: CC BY

Cite this

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title = "A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes",

abstract = "The phenomenological model for cell shape deformation and cell migration Chen (BMM 17:1429–1450, 2018), Vermolen and Gefen (BMM 12:301–323, 2012), is extended with the incorporation of cell traction forces and the evolution of cell equilibrium shapes as a result of cell differentiation. Plastic deformations of the extracellular matrix are modelled using morphoelasticity theory. The resulting partial differential differential equations are solved by the use of the finite element method. The paper treats various biological scenarios that entail cell migration and cell shape evolution. The experimental observations in Mak et al. (LC 13:340–348, 2013), where transmigration of cancer cells through narrow apertures is studied, are reproduced using a Monte Carlo framework.",

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T1 - A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes

AU - Peng, Q.

AU - Vermolen, F. J.

AU - Weihs, D.

PY - 2021

Y1 - 2021

N2 - The phenomenological model for cell shape deformation and cell migration Chen (BMM 17:1429–1450, 2018), Vermolen and Gefen (BMM 12:301–323, 2012), is extended with the incorporation of cell traction forces and the evolution of cell equilibrium shapes as a result of cell differentiation. Plastic deformations of the extracellular matrix are modelled using morphoelasticity theory. The resulting partial differential differential equations are solved by the use of the finite element method. The paper treats various biological scenarios that entail cell migration and cell shape evolution. The experimental observations in Mak et al. (LC 13:340–348, 2013), where transmigration of cancer cells through narrow apertures is studied, are reproduced using a Monte Carlo framework.

AB - The phenomenological model for cell shape deformation and cell migration Chen (BMM 17:1429–1450, 2018), Vermolen and Gefen (BMM 12:301–323, 2012), is extended with the incorporation of cell traction forces and the evolution of cell equilibrium shapes as a result of cell differentiation. Plastic deformations of the extracellular matrix are modelled using morphoelasticity theory. The resulting partial differential differential equations are solved by the use of the finite element method. The paper treats various biological scenarios that entail cell migration and cell shape evolution. The experimental observations in Mak et al. (LC 13:340–348, 2013), where transmigration of cancer cells through narrow apertures is studied, are reproduced using a Monte Carlo framework.

KW - Agent-based modelling

KW - Cell geometry

KW - Cell migration

KW - Cellular traction forces

KW - Finite-element method

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SN - 1617-7959

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JO - Biomechanics and Modeling in Mechanobiology

JF - Biomechanics and Modeling in Mechanobiology

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A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes

Abstract

Keywords

UN SDGs

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