Traveling Motility of Actin Lamellar Fragments Under spontaneous symmetry breaking

2024/09/09 by Claudia García, García, Claudia, Martina Magliocca +3 · 1 citation
Mathematics · #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2409.05762

Abstract

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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