Print Email Facebook Twitter A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes Title A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes Author Peng, Q. (TU Delft Numerical Analysis; University of Hasselt) Vermolen, F.J. (TU Delft Numerical Analysis; University of Hasselt) Weihs, D. (Technion) Date 2021 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. Subject Agent-based modellingCell geometryCell migrationCellular traction forcesFinite-element method To reference this document use: http://resolver.tudelft.nl/uuid:bac7021c-7b0d-483d-8bb9-4fbca9f9a774 DOI https://doi.org/10.1007/s10237-021-01456-2 ISSN 1617-7959 Source Biomechanics and Modeling in Mechanobiology (online), 20 (4), 1459-1475 Part of collection Institutional Repository Document type journal article Rights © 2021 Q. Peng, F.J. Vermolen, D. Weihs Files PDF Peng2021_Article_AFormali ... action.pdf 3.94 MB Close viewer /islandora/object/uuid:bac7021c-7b0d-483d-8bb9-4fbca9f9a774/datastream/OBJ/view