A PDE model for bleb formation and interaction with linker proteins

  • 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.

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Author:Philipp Werner, Martin Burger, Jan-Frederik PietschmannORCiDGND
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/102089
Parent Title (English):Transactions of Mathematics and its Applications
Publisher:Oxford University Press (OUP)
Place of publication:Oxford
Year of first Publication:2020
Publishing Institution:Universität Augsburg
Release Date:2023/02/20
First Page:tnaa001
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Inverse Probleme
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand)