1. A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes
- Author
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Fred J. Vermolen, Daphne Weihs, Qiyao Peng, PENG, Qiyao, VERMOLEN, Fred, and Weihs, D
- Subjects
Differential equation ,Cellular differentiation ,0206 medical engineering ,Monte Carlo method ,Traction (engineering) ,Finite Element Analysis ,Biophysics ,02 engineering and technology ,Cellular traction forces ,Cell geometry ,Models, Biological ,Quantitative Biology::Cell Behavior ,03 medical and health sciences ,Cell Movement ,Neoplasms ,Phenomenological model ,Cell Behavior (q-bio.CB) ,FOS: Mathematics ,Humans ,Computer Simulation ,Cell migration ,Mathematics - Numerical Analysis ,Neoplasm Metastasis ,Cell Shape ,030304 developmental biology ,Physics ,0303 health sciences ,Original Paper ,Wound Healing ,Deformation (mechanics) ,Mechanical Engineering ,Cell Membrane ,Cell Differentiation ,Numerical Analysis (math.NA) ,Models, Theoretical ,Finite-element method ,020601 biomedical engineering ,Finite element method ,Biomechanical Phenomena ,Extracellular Matrix ,Agent-based modelling ,Classical mechanics ,Modeling and Simulation ,FOS: Biological sciences ,Quantitative Biology - Cell Behavior ,Partial derivative ,Monte Carlo Method ,Biotechnology - 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.
- Published
- 2021