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

Journal Article (2021)
Author(s)

Q. Peng (University of Hasselt, TU Delft - Numerical Analysis)

Fred J. Vermolen (TU Delft - Numerical Analysis, University of Hasselt)

D Weihs (Technion Israel Institute of Technology)

Research Group
Numerical Analysis
Copyright
© 2021 Q. Peng, F.J. Vermolen, D. Weihs
DOI related publication
https://doi.org/10.1007/s10237-021-01456-2
More Info
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Publication Year
2021
Language
English
Copyright
© 2021 Q. Peng, F.J. Vermolen, D. Weihs
Related content
Research Group
Numerical Analysis
Issue number
4
Volume number
20
Pages (from-to)
1459-1475
Reuse Rights

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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.