A PDE model for bleb formation and interaction with linker proteins. Issue 1 (23rd April 2020)

• Record Type: Journal Article
• Authors: Werner, Philipp; Burger, Martin; Pietschmann, Jan-Frederik
• Is Part Of: Transactions of mathematics and its applications. Volume 4:Issue 1(2020)
• Publication Date: 2020-04-23
• Subjects: cell blebbing -- surface PDEs -- fluid–structure interaction -- free boundary problems; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1093/imatrm/tnaa001
• Languages: English
• ISSNs: 2398-4945

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.