New Boundary Conditions for One-Dimensional Network Models of Hemodynamics

被引：5

作者：

Simakov, S. S. ^{[1
,2
,3
]}

机构：

[1] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Oblast, Russia

[2] Sechenov Univ, Moscow 119991, Russia

[3] Russian Acad Sci, Marchuk Inst Numer Math, Moscow 119333, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2021年 / 61卷 / 12期

基金：

俄罗斯科学基金会;

关键词：

mathematical modeling; hemodynamics; boundary conditions; averaging; PULSE-WAVE PROPAGATION; BLOOD-FLOW; MATHEMATICAL-MODEL; SIMULATIONS; VESSELS; SYSTEM; 1-D;

D O I：

10.1134/S0965542521120125

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New boundary conditions in the regions of vessel junctions for a one-dimensional network model of hemodynamics are proposed. It is shown that these conditions ensure the continuity of the solution and its derivatives at the points of vessel junctions. In the asymptotic limit, they give solutions that coincide with the solution in one continuous vessel. Nonreflecting boundary conditions at the endpoints of the terminal vessels are proposed. Results of numerical experiments that confirm the results of theoretical analysis are presented.

引用

页码：2102 / 2117

页数：16

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