Modeling peristaltic flow in vessels equipped with valves: Implications for vasomotion in bat wing venules

被引：22

作者：

Farina, A. ^{[1
]}

Fusi, L. ^{[1
]}

Fasano, A. ^{[1
]}

Ceretani, A. ^{[2
]}

Rosso, F. ^{[1
]}

机构：

[1] Univ Florence, Dipartimento Matemat & Informat U Dini, Viale Morgagni 67-a, I-50134 Florence, Italy

[2] Univ Austral, Fac Ciencias Empresariales, CONICET, Dept Matemat, Paraguay 1950,S2000FZF, Rosario, Argentina

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2016年 / 107卷

关键词：

Vasomotion; Peristalsis; Newtonian fluid; Unilateral boundary conditions;

D O I：

10.1016/j.ijengsci.2016.07.002

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the flow of a Newtonian fluid through a vessel provided with valves ensuring a unidirectional motion and whose walls are animated by periodic peristaltic waves. The ultimate target is to describe the phenomenon of vasomotion, consisting in periodic oscillations of blood vessels walls which is particularly important for the blood flow in veins. Here we formulate a mathematical model based on approximations of the flow equations due to the smallness of the radius-to-length ratio. In particular we examine venules equipped with just two valves, showing that the model reproduces the periodic pressure pulses that have been experimentally detected in venules of the bat wing. The flow generated by the synchronous vessel oscillations is recovered in the limit of large peristaltic wavelength. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：1 / 12

页数：12

共 30 条

[1] Vasomotion:: cellular background for the oscillator and for the synchronization of smooth muscle cells [J].