Final published version
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes
AU - Peng, Qiyao
AU - Vermolen, Fred
AU - Weihs, Daphne
PY - 2021/8/31
Y1 - 2021/8/31
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.
UR - https://research.tudelft.nl/en/publications/bac7021c-7b0d-483d-8bb9-4fbca9f9a774
U2 - 10.1007/s10237-021-01456-2
DO - 10.1007/s10237-021-01456-2
M3 - Journal article
C2 - 33893558
VL - 20
SP - 1459
EP - 1475
JO - Biomechanics and modeling in mechanobiology
JF - Biomechanics and modeling in mechanobiology
SN - 1617-7959
IS - 4
ER -