Traveling Motility of Actin Lamellar Fragments Under spontaneous symmetry breaking
Claudia Garc\'ia, Martina Magliocca, Nicolas Meunier
TL;DR
This paper analytically proves the existence of traveling solutions in actin lamellar fragments, linking cell motility to spontaneous symmetry breaking, and advances understanding of the nonlinear dynamics involved.
Contribution
It provides the first rigorous analytical proof of traveling solutions in a minimal model of cell motility with symmetry breaking.
Findings
Confirmed the existence of traveling solutions through bifurcation analysis
Linked symmetry breaking to cell motility mechanisms
Extended previous numerical conjectures with rigorous proof
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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Taxonomy
TopicsStochastic processes and statistical mechanics