Existence and uniqueness of solutions for a model of non-sarcomeric actomyosin bundles

DOI10.3934/DCDS.2016014zbMath1351.35235arXiv1511.08626OpenAlexW2264417007MaRDI QIDQ321607

Stefanie Hirsch, Christian Schmeiser

Publication date: 14 October 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08626

zbMATH Keywords

asymptotic methodslong time behavior(free) boundary value problemactomyosin bundlesfixed-point methods

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40) Overdetermined initial-boundary value problems for PDEs and systems of PDEs (35N30)

Cites Work

• A drift-diffusion model for molecular motor transport in anisotropic filament bundles
• On the asymptotic regime of a model for friction mediated by transient elastic linkages
• Derivation of a model for symmetric lamellipodia with instantaneous cross-link turnover
• A viscous two-phase model for contractile actomyosin bundles
• Actomyosin contraction, aggregation and traveling waves in a treadmilling actin array

This page was built for publication: Existence and uniqueness of solutions for a model of non-sarcomeric actomyosin bundles