A NEW PHYSIOLOGICAL BOUNDARY CONDITION FOR HEMODYNAMICS

被引：15

作者：

Cousins, Will ^{[1
]}

Gremaud, Pierre A. ^{[1
]}

Tartakovsky, Daniel M. ^{[2
]}

机构：

[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

[2] Univ Calif San Diego, Dept Mech & Aerosp Engn, La Jolla, CA 92093 USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2013年 / 73卷 / 03期

基金：

美国国家科学基金会;

关键词：

hemodynamics; network; transport; modeling; boundary conditions; numerics; BLOOD-FLOW; WAVE-PROPAGATION; EXPERIMENTAL VALIDATION; CONVOLUTION QUADRATURE; ELASTIC TUBE; MODEL; SIMULATIONS; PRESSURE; NETWORK; ARTERIES;

D O I：

10.1137/120895470

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a new physiologically-based outflow boundary condition for hemodynamics under general transient regimes. This is in contrast to previous studies that impose restrictions of temporal periodicity. The new condition is analyzed and its numerical implementation is discussed in detail. We show that existing impedance boundary conditions can be viewed as numerical approximations of the new condition. Our study provides a partial justification for using some of these existing conditions beyond the periodic problems for which they were designed. Moreover, the new condition has better stability properties. The theoretical results are illustrated by numerical experiments pertaining to cerebral blood flow.

引用

页码：1203 / 1223

页数：21

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