带有连杆动力学的细胞气泡扩散界面模型的锐界面分析

IF 2.3 4区 工程技术 Q1 MATHEMATICS, APPLIED
Philipp Nöldner, Martin Burger, Harald Garcke
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引用次数: 0

摘要

摘要利用匹配渐近展开式研究了最近提出的胞泡扩散界面/相场模型解的收敛性。这是一种越来越受到实验界和理论界关注的生物学现象。机械地理解细胞起泡过程的关键是连接细胞皮层和细胞膜的蛋白质。另一个重要的模型成分是细胞膜和细胞皮层的弯曲能,它占微分方程的六阶。这两个方面都提出了有趣的数学挑战,这些挑战将在本工作中得到解决,例如显示边界层压力的非奇点形成,推导非一般高阶渐近级数系数的方程,以及处理高度耦合的方程组。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Sharp interface analysis of a diffuse interface model for cell blebbing with linker dynamics
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.
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来源期刊
CiteScore
3.30
自引率
8.70%
发文量
199
审稿时长
3.0 months
期刊介绍: ZAMM is one of the oldest journals in the field of applied mathematics and mechanics and is read by scientists all over the world. The aim and scope of ZAMM is the publication of new results and review articles and information on applied mathematics (mainly numerical mathematics and various applications of analysis, in particular numerical aspects of differential and integral equations), on the entire field of theoretical and applied mechanics (solid mechanics, fluid mechanics, thermodynamics). ZAMM is also open to essential contributions on mathematics in industrial applications.
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