期刊
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
卷 30, 期 3, 页码 513-537出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021820252050013X
关键词
Variational methods; weak solutions; cell motility modeling; cellular cortex; actin polymerization
资金
- Vienna Science and Technology Fund [LS13-029]
- Austrian Science Fund [W1245, F 65, W1261]
- Fondation Sciences Mathematiques de Paris
- Paris-Sciences-et-Lettres
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.
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