A bulk-surface reaction-diffusion system for cell polarization

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2019-02-15 DOI:10.4171/ifb/433

B. Niethammer, M. Roger, J. Vel'azquez

引用次数: 9

Abstract

We propose a model for cell polarization as a response to an external signal which results in a system of PDEs for different variants of a protein on the cell surface and interior respectively. We study stationary states of this model in certain parameter regimes in which several reaction rates on the membrane as well as the diffusion coefficient within the cell are large. It turns out that in suitable scaling limits steady states converge to solutions of some obstacle type problems. For these limiting problems we prove the onset of polarization if the total mass of protein is sufficiently small. For some variants we can even characterize precisely the critical mass for which polarization occurs.

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电池极化的本体-表面反应-扩散系统

我们提出了一个细胞极化模型，作为对外部信号的响应，该信号分别导致细胞表面和内部蛋白质不同变体的pde系统。我们研究了该模型在某些参数下的稳态，其中膜上的几个反应速率以及细胞内的扩散系数都很大。结果表明，在适当的尺度限制下，稳态收敛于某些障碍型问题的解。对于这些极限问题，我们证明了如果蛋白质的总质量足够小，极化的开始。对于某些变体，我们甚至可以精确地描述发生极化的临界质量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.