Sharp interface analysis of a diffuse interface model for cell blebbing with linker dynamics

DOI10.1002/zamm.202300101arXiv2302.04612MaRDI QIDQ6148902

Harald Garcke, Martin Burger, Unnamed Author

Publication date: 8 February 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.04612

zbMATH Keywords

boundary layerscell blebbinginterface/phase field model

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Asymptotic expansions of solutions to PDEs (35C20) Biomechanics (92C10)

Cites Work

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• Sharp interface limit for a Stokes/Allen-Cahn system
• A poroelastic immersed boundary method with applications to cell biology
• Phase-field approximation of the Willmore flow
• Energetic variational approaches in modeling vesicle and fluid interactions
• A computational model of bleb formation
• Asymptotic Analysis of Phase Field Formulations of Bending Elasticity Models
• A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics
• A PDE model for bleb formation and interaction with linker proteins
• A variational approach to moving contact line hydrodynamics

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