Bifurcation of finger-like structures in traveling waves of epithelial tissues spreading

We consider a continuum active polar fluid model for the spreading of epithelial monolayers introduced by R. Alert, C. Blanch-Mercader, and J. Casademunt, 2019. The corresponding free boundary problem possesses flat front traveling wave solutions. Linear stability of these solutions under periodic p...

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Veröffentlicht in:	arXiv.org 2023-11
Hauptverfasser:	Berlyand, Leonid, Rybalko, Antonina, Rybalko, Volodymyr, Clarke Alex Safsten
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic series Bifurcations Free boundaries Mathematical models Parameters Periodic structures Periodic variations Perturbation Stability Traction force Traveling waves
Online-Zugang:	Volltext
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