Special Session 74: Recent advances in local and nonlocal PDEs

TRAVELING MOTILITY OF ACTIN LAMELLAR FRAGMENTS UNDER SPONTANEOUS SYMMETRY BREAKING
Martina Magliocca
Universidad de Sevilla
Spain
Co-Author(s):    
Abstract:
Cell motility is connected to the spontaneous symmetry breaking of a circular shape. In [1] Blanch-Mercader and Casademunt performed a nonlinear analysis of the minimal model proposed by Callan and Jones [2] and numerically conjectured the existence of traveling solutions once that symmetry is broken. In this talk, we prove analytically that conjecture by means of nonlinear bifurcation techniques.