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

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 defo...

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Bibliographic Details
Published in:Biomechanics and modeling in mechanobiology 2021-08, Vol.20 (4), p.1459-1475
Main Authors: Peng, Q., Vermolen, F. J., Weihs, D.
Format: Article
Language:English
Subjects:
Biological and Medical Physics
Biomechanical Phenomena
Biomedical Engineering and Bioengineering
Biophysics
Cell adhesion & migration
Cell Differentiation
Cell Membrane - metabolism
Cell Membrane - physiology
Cell migration
Cell Movement
Cell Shape
Cell size
Computer Simulation
Deformation
Differential equations
Differentiation (biology)
Engineering
Evolution
Extracellular matrix
Extracellular Matrix - metabolism
Finite Element Analysis
Finite element method
Humans
Models, Biological
Models, Theoretical
Monte Carlo Method
Neoplasm Metastasis
Neoplasms - pathology
Original Paper
Theoretical and Applied Mechanics
Traction force
Wound Healing
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Summary: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.
ISSN:1617-7959
1617-7940
DOI:10.1007/s10237-021-01456-2