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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8298374/ https://www.ncbi.nlm.nih.gov/pubmed/33893558 http://dx.doi.org/10.1007/s10237-021-01456-2 |
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author | Peng, Q. Vermolen, F. J. Weihs, D. |
author_facet | Peng, Q. Vermolen, F. J. Weihs, D. |
author_sort | Peng, Q. |
collection | PubMed |
description | 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. |
format | Online Article Text |
id | pubmed-8298374 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
spelling | pubmed-82983742021-08-12 A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes Peng, Q. Vermolen, F. J. Weihs, D. Biomech Model Mechanobiol Original Paper 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. Springer Berlin Heidelberg 2021-04-23 2021 /pmc/articles/PMC8298374/ /pubmed/33893558 http://dx.doi.org/10.1007/s10237-021-01456-2 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Original Paper Peng, Q. Vermolen, F. J. Weihs, D. 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 |
title_full | A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes |
title_fullStr | A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes |
title_full_unstemmed | A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes |
title_short | A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes |
title_sort | formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes |
topic | Original Paper |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8298374/ https://www.ncbi.nlm.nih.gov/pubmed/33893558 http://dx.doi.org/10.1007/s10237-021-01456-2 |
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