Traveling motility of actin lamellar fragments under spontaneous symmetry breaking

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-09-26 DOI:10.1016/j.jde.2025.113787

Claudia García , Martina Magliocca , Nicolas Meunier

引用次数: 0

Abstract

Cell motility is connected to the spontaneous symmetry breaking of a circular shape. In [8], Blanch-Mercader and Casademunt performed a nonlinear analysis of the minimal model proposed by Callan and Jones [11] and numerically conjectured the existence of traveling solutions once that symmetry is broken. In this work, we prove analytically that conjecture by means of nonlinear bifurcation techniques.

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自发对称性破缺下肌动蛋白片层碎片的运动特性

细胞运动与圆形的自发对称性破缺有关。在[8]中，Blanch-Mercader和Casademunt对Callan和Jones提出的最小模型进行了非线性分析[8]，并在数值上推测了一旦对称性被打破，旅行解的存在性。本文利用非线性分岔技术对这一猜想进行了分析证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics