New Boundary Conditions for One-Dimensional Network Models of Hemodynamics

被引：4

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

共 50 条

[21] Dynamic boundary conditions and boundary control for the one-dimensional heat equation
Kumpf, M
Nickel, G
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2004, 10 (02) : 213 - 225
[22] An Anatomically Detailed Arterial Network Model for One-Dimensional Computational Hemodynamics
Blanco, Pablo J.
Watanabe, Sansuke M.
Passos, Marco Aurelio R. F.
Lemos, Pedro A.
Feijoo, Raul A.
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 2015, 62 (02) : 736 - 753
[23] Boundary conditions for semi-Lagrangian schemes: Testing some alternatives in one-dimensional models
McDonald, A
MONTHLY WEATHER REVIEW, 2000, 128 (12) : 4084 - 4096
[24] Algebraic Bethe ansatz for integrable one-dimensional extended Hubbard models with open boundary conditions
Ge, XY
Gould, MD
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (07): : 1801 - 1825
[25] Fidelity susceptibility and conductivity of the current in one-dimensional lattice models with open or periodic boundary conditions
Greschner, S.
Kolezhuk, A. K.
Vekua, T.
PHYSICAL REVIEW B, 2013, 88 (19):
[26] Ergodicity conditions for a continuous one-dimensional loss network
Garcia, NL
Maric, N
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2003, 34 (03): : 349 - 360
[27] Ergodicity conditions for a continuous one-dimensional loss network
Nancy L. Garcia
Nevena Marić
Bulletin of the Brazilian Mathematical Society, 2003, 34 : 349 - 360
[28] THE ONE-DIMENSIONAL PEIERLS MODELS - A NEW APPROACH
HRONEK, J
PHYSICS LETTERS A, 1990, 144 (03) : 139 - 144
[29] Absorbing boundary conditions for one-dimensional nonlinear Schrodinger equations
Szeftel, Jeremie
NUMERISCHE MATHEMATIK, 2006, 104 (01) : 103 - 127
[30] QUAZI ONE-DIMENSIONAL MODEL OF THE MAGNETOSPHERIC BOUNDARY IN DISTURBED CONDITIONS
SAMOKHIN, MV
GEOMAGNETIZM I AERONOMIYA, 1980, 20 (02): : 294 - 299

← 1 2 3 4 5 →