Traveling motility of actin lamellar fragments under spontaneous symmetry breaking

García López, Claudia; Magliocca, Martina; Meunier, Nicolas

doi:10.1016/j.jde.2025.113787

1-s2.0-S0022039625008149-main.pdf (647.6Kb)

Identificadores

URI: https://hdl.handle.net/10481/107697

DOI: 10.1016/j.jde.2025.113787

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Editorial

Elsevier

Fecha

2026-02-05

Referencia bibliográfica

García, C., Magliocca, M., & Meunier, N. (2026). Traveling motility of actin lamellar fragments under spontaneous symmetry breaking. Journal of Differential Equations, 453(113787), 113787. https://doi.org/10.1016/j.jde.2025.113787

Patrocinador

MCIU/AEI/10.13039/501100011033 – (RYC2022-035967-I, PID2022-140494NA-I00, PID2022-137228OB-I00, RYC2021-033698-I, PID2022-141187NB-I00); FEDER/UE – Fondo Europeo de Desarrollo Regional, FSE+ – Fondo Social Europeo Plus; Consejería de Universidad, Investigación e Innovación & ERDF/EU Andalucía Program – (C-EXP-265-UGR23); Modeling Nature Research Unit – (QUAL21-011)

Resumen

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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