Modeling adhesion-independent cell migration

G. Jankowiak, D. Peurichard, A. Reversat, C. Schmeiser, M.K. Sixt, Mathematical Models and Methods in Applied Sciences (2020).


Journal Article | Epub ahead of print | English
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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 modeled as an elastic curve, subject to an internal pressure force. Net polymerization or depolymerization in the cortex is modeled 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.
Publishing Year
Date Published
2020-03-18
Journal Title
Mathematical Models and Methods in Applied Sciences
ISSN
IST-REx-ID

Cite this

Jankowiak G, Peurichard D, Reversat A, Schmeiser C, Sixt MK. Modeling adhesion-independent cell migration. Mathematical Models and Methods in Applied Sciences. 2020. doi:10.1142/S021820252050013X
Jankowiak, G., Peurichard, D., Reversat, A., Schmeiser, C., & Sixt, M. K. (2020). Modeling adhesion-independent cell migration. Mathematical Models and Methods in Applied Sciences. https://doi.org/10.1142/S021820252050013X
Jankowiak, Gaspard, Diane Peurichard, Anne Reversat, Christian Schmeiser, and Michael K Sixt. “Modeling Adhesion-Independent Cell Migration.” Mathematical Models and Methods in Applied Sciences, 2020. https://doi.org/10.1142/S021820252050013X.
G. Jankowiak, D. Peurichard, A. Reversat, C. Schmeiser, and M. K. Sixt, “Modeling adhesion-independent cell migration,” Mathematical Models and Methods in Applied Sciences, 2020.
Jankowiak G, Peurichard D, Reversat A, Schmeiser C, Sixt MK. 2020. Modeling adhesion-independent cell migration. Mathematical Models and Methods in Applied Sciences.
Jankowiak, Gaspard, et al. “Modeling Adhesion-Independent Cell Migration.” Mathematical Models and Methods in Applied Sciences, World Scientific, 2020, doi:10.1142/S021820252050013X.

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