A PDE model for bleb formation and interaction with linker proteins

Author:

Werner Philipp1,Burger Martin1,Pietschmann Jan-Frederik2

Affiliation:

1. Department Mathematik, Universität Erlangen-Nürnberg, Cauerstraße 11, 91058 Erlangen, Germany

2. Fakultät für Mathematik, Technische Universität Chemnitz, Reichenhainer Straße 41, Chemnitz, Germany

Abstract

Abstract The aim of this paper is to further develop mathematical models for bleb formation in cells, including cell membrane interactions with linker proteins. This leads to nonlinear reaction–diffusion equations on a surface coupled to fluid dynamics in the bulk. We provide a detailed mathematical analysis and investigate some singular limits of the model, connecting it to previous literature. Moreover, we provide numerical simulations in different scenarios, confirming that the model can reproduce experimental results on bleb initiation.

Funder

German Science Foundation DFG via Research Training Group

ERC

Publisher

Oxford University Press (OUP)

Reference40 articles.

1. Bleb nucleation through membrane peeling;Alert;Phys. Rev. Lett.,2016

2. Model for probing membrane-cortex adhesion by micropipette aspiration and fluctuation spectroscopy;Alert;Biophys. J.,2015

3. Compact embeddings of vector-valued sobolev and besov spaces;Amann;Glas. Mat.,2000

4. Analysis II

5. Nonlinear semigroups and differential equations in Banach spaces

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1. Sharp interface analysis of a diffuse interface model for cell blebbing with linker dynamics;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2023-09-12

2. A Diffuse Interface Model for Cell Blebbing Including Membrane-Cortex Coupling with Linker Dynamics;SIAM Journal on Applied Mathematics;2022-06

3. 3D Computational Modeling of Bleb Initiation Dynamics;Frontiers in Physics;2021-11-24

4. A mathematical model for bleb regulation in zebrafish primordial germ cells;Mathematical Medicine and Biology: A Journal of the IMA;2021-02-19

5. A Finite Element Method for a Fourth Order Surface Equation With Application to the Onset of Cell Blebbing;Frontiers in Applied Mathematics and Statistics;2020-06-23

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