Multiple equilibrium states in a micro-vascular network

被引：9

作者：

Gardner, David ^{[1
]}

Li, Yiyang ^{[1
]}

Small, Benjamin ^{[1
]}

Geddes, John B. ^{[1
,2
]}

Carr, Russell T. ^{[3
]}

机构：

[1] Franklin W Olin Coll Engn, Needham, MA USA

[2] Univ Aberdeen, Inst Complex Syst & Math Biol, Aberdeen, Scotland

[3] Univ New Hampshire, Dept Chem Engn, Durham, NH 03824 USA

来源：

MATHEMATICAL BIOSCIENCES | 2010年 / 227卷 / 02期

关键词：

Micro-vascular blood flow; Networks; Bistability; Nonlinear dynamics; BLOOD-FLOW; OSCILLATIONS;

D O I：

10.1016/j.mbs.2010.07.001

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We use a simple model of micro-vascular blood flow to explore conditions that give rise to multiple equilibrium states in a three-node micro-vascular network. The model accounts for two primary theological effects: the Fahraeus-Lindqvist effect, which describes the apparent viscosity of blood in a vessel, and the plasma skimming effect, which governs the separation of red blood cells at diverging nodes. We show that multiple equilibrium states are possible, and we use our analytical and computational tools to design an experiment for validation. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：117 / 124

页数：8

共 13 条

[1] [Anonymous], ANN REV FLUID MECH
[2] Oscillations in a simple microvascular network
Carr, RT
Geddes, JB
Wu, F
[J]. ANNALS OF BIOMEDICAL ENGINEERING, 2005, 33 (06) : 764 - 771
[3] Nonlinear dynamics of microvascular blood flow
Carr, RT
Lacoin, M
[J]. ANNALS OF BIOMEDICAL ENGINEERING, 2000, 28 (06) : 641 - 652
[4] Cavalcanti S, 1996, ANN BIOMED ENG, V24, P37, DOI 10.1007/BF02770993
[5] Chambers E, 2007, EXP BIOL MED, V232, P958
[6] Gartner L.P., 2006, Color Textbook of Histology, V2nd
[7] The onset of oscillations in microvascular blood flow
Geddes, John B.
Carr, Russell T.
Karst, Nathaniel J.
Wu, Fan
[J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2007, 6 (04): : 694 - 727
[8] Bistability in a simple fluid network due to viscosity contrast
Geddes, John B.
Storey, Brian D.
Gardner, David
Carr, Russell T.
[J]. PHYSICAL REVIEW E, 2010, 81 (04):
[9] FLUCTUATIONS IN MICROVASCULAR BLOOD-FLOW PARAMETERS CAUSED BY HEMODYNAMIC MECHANISMS
KIANI, MF
PRIES, AR
HSU, LL
SARELIUS, IH
COKELET, GR
[J]. AMERICAN JOURNAL OF PHYSIOLOGY, 1994, 266 (05): : H1822 - H1828
[10] Studies on the physiology of capillaries. II. The reactions to local stimuli of the blood-vessels in the skin and web of the frog.
Krogh, A
[J]. JOURNAL OF PHYSIOLOGY-LONDON, 1921, 55 (5/6): : 412 - 422

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