Free boundary problems for Stokes flow, with applications to the growth of biological tissues

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-11-05 DOI:10.4171/ifb/459

John King, C. Venkataraman

引用次数: 0

Abstract

We formulate, analyse and numerically simulate what are arguably the two simplest Stokes-ﬂow free boundary problems relevant to tissue growth, extending the classical Stokes free boundary problem by incorporating (i) a volumetric source (the nutrient-rich case) and (ii) a volumetric sink, a surface source and surface compression (the nutrient-poor case). Both two- and three-dimensional cases are considered. A number of phenomena are identiﬁed and characterised thereby, most notably a buckling-associated instability in case (ii).

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斯托克斯流的自由边界问题及其在生物组织生长中的应用

我们制定、分析和数值模拟了与组织生长相关的两个最简单的斯托克斯自由流动边界问题，通过合并(i)体积源(营养丰富的情况)和(ii)体积吸收、表面源和表面压缩(营养贫乏的情况)扩展了经典的斯托克斯自由边界问题。二维和三维的情况都被考虑。许多现象由此被识别和表征，最显著的是在情况(ii)中屈曲相关的不稳定性。

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.