模拟空间平均脑毛细血管网络的压力分布

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.3934/MCRF.2021016

A. Kovtanyuk, A. Chebotarev, N. Botkin, V. Turova, I. Sidorenko, R. Lampe

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引用次数: 2

摘要

．在对脑毛细血管网络压力分布进行数学建模的基础上，研究了未知源强度泊松方程的边值问题。该问题被表述为具有有限维超定的反问题。证明了该问题的唯一可解性。提出并实现了一种数值算法。

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Modeling the pressure distribution in a spatially averaged cerebral capillary network

. A boundary value problem for the Poisson’s equation with unknown intensities of sources is studied in context of mathematical modeling the pressure distribution in cerebral capillary networks. The problem is formulated as an inverse problem with ﬁnite-dimensional overdetermination. The unique solvability of the problem is proven. A numerical algorithm is proposed and implemented.

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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.

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