Modeling adhesion-independent cell migration

被引：3

作者：

Jankowiak, Gaspard ^{[1
]}

Peurichard, Diane ^{[2
]}

Reversat, Anne ^{[3
]}

Schmeiser, Christian ^{[4
]}

Sixt, Michael ^{[3
]}

机构：

[1] RICAM Osterreich Akad Wissensch, Postgasse 6-7, A-1010 Vienna, Austria

[2] Univ Paris 06, INRIA Paris MAMBA, Lab Jacques Louis Lions, 4 Pl Jussieu,Couloir 16-26,3e Etage, F-75252 Paris 05, France

[3] IST Austria, Campus 1, A-3400 Klosterneuburg, Austria

[4] Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2020年 / 30卷 / 03期

基金：

奥地利科学基金会;

关键词：

Variational methods; weak solutions; cell motility modeling; cellular cortex; actin polymerization; LOCOMOTION; MOTILITY;

D O I：

10.1142/S021820252050013X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：513 / 537

页数：25

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