模拟空间平均脑毛细血管网络的压力分布

IF 1 4区数学 Q1 MATHEMATICS

Mathematical Control and Related Fields 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

Mathematical Control and Related Fields MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

8.30%

发文量

期刊介绍： MCRF aims to publish original research as well as expository papers on mathematical control theory and related fields. The goal is to provide a complete and reliable source of mathematical methods and results in this field. The journal will also accept papers from some related fields such as differential equations, functional analysis, probability theory and stochastic analysis, inverse problems, optimization, numerical computation, mathematical finance, information theory, game theory, system theory, etc., provided that they have some intrinsic connections with control theory.