自发对称破缺下肌动蛋白片段的移动性

arXiv - MATH - Mathematical Physics Pub Date : 2024-09-09 DOI:arxiv-2409.05762

Claudia García, Martina Magliocca, Nicolas Meunier

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引用次数: 0

摘要

细胞运动与圆形的自发对称破缺有关。在 https://doi.org/10.1103/PhysRevLett.110.078102，Blanch-Mercader 和 Casademunt 对 Callan 和 Jones 提出的最小模型进行了非线性分析 https://doi.org/10.1103/PhysRevLett.100.258106，并从数值上猜想，一旦对称性被打破，就会存在行进解。在这项工作中，我们通过非线性分岔技术分析证明了这一猜想。

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Traveling Motility of Actin Lamellar Fragments Under spontaneous symmetry breaking

Cell motility is connected to the spontaneous symmetry breaking of a circular shape. In https://doi.org/10.1103/PhysRevLett.110.078102, Blanch-Mercader and Casademunt perfomed a nonlinear analysis of the minimal model proposed by Callan and Jones https://doi.org/10.1103/PhysRevLett.100.258106 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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arXiv - MATH - Mathematical Physics

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