Jankowiak, Gaspard, Peurichard, Diane, Reversat, Anne 
ORCID: 0000-0003-0666-8928, Schmeiser, Christian and Sixt, Michael
(2020)
Modeling adhesion-independent cell migration.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 30 (3).
pp. 513-537.
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Abstract
A two-dimensional mathematical model for cells migrating without adhesion capabilities is presented and analyzed. Cells are represented by their cortex, which is modelled as an elastic curve, subject to an internal pressure force. Net polymerization or depolymerization in the cortex is modelled via local addition or removal of material, driving a cortical flow. The model takes the form of a fully nonlinear degenerate parabolic system. An existence analysis is carried out by adapting ideas from the theory of gradient flows. Numerical simulations show that these simple rules can account for the behavior observed in experiments, suggesting a possible mechanical mechanism for adhesion-independent motility.
| Item Type: | Article |
|---|---|
| Additional Information: | 22 pages and 9 figures |
| Uncontrolled Keywords: | Variational methods, weak solutions, cell motility modeling, cellular cortex, actin polymerization |
| Divisions: | Faculty of Health and Life Sciences Faculty of Health and Life Sciences > Institute of Systems, Molecular and Integrative Biology |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 22 Dec 2022 14:21 |
| Last Modified: | 12 Jan 2023 15:45 |
| DOI: | 10.1142/S021820252050013X |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3166756 |
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