Noeldner, Philipp and Burger, Martin and Garcke, Harald (2023) Sharp interface analysis of a diffuse interface model for cell blebbing with linker dynamics. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 103 (12): e202300101. ISSN 0044-2267, 1521-4001
Full text not available from this repository. (Request a copy)Abstract
We investigate the convergence of solutions of a recently proposed diffuse interface/phase field model for cell blebbing by means of matched asymptotic expansions. It is a biological phenomenon that increasingly attracts attention by both experimental and theoretical communities. Key to understanding the process of cell blebbing mechanically are proteins that link the cell cortex and the cell membrane. Another important model component is the bending energy of the cell membrane and cell cortex which accounts for differential equations up to sixth order. Both aspects pose interesting mathematical challenges that will be addressed in this work like showing non-singularity formation for the pressure at boundary layers, deriving equations for asymptotic series coefficients of uncommonly high order, and dealing with a highly coupled system of equations.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BLEBS |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 19 Mar 2024 10:33 |
| Last Modified: | 19 Mar 2024 10:33 |
| URI: | https://pred.uni-regensburg.de/id/eprint/59718 |
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