The Mathematical Institute, University of Oxford, Eprints Archive

A design principle for vascular beds: the effects of complex blood rheology

Alarcon, T. and Byrne, H. M. and Maini, P. K. (2005) A design principle for vascular beds: the effects of complex blood rheology. Microvascular Research, 69 (3). pp. 156-172.

[img]
Preview
PDF
932Kb

Abstract

We propose a design principle that extends Murray's original optimization principle for vascular architecture to account for complex blood rheology. Minimization of an energy dissipation function enables us to determine how rheology affects the morphology of simple branching networks. The behavior of various physical quantities associated with the networks, such as the wall shear stress and the flow velocity, is also determined. Our results are shown to be qualitatively and quantitatively compatible with independent experimental observations and simulations.

Item Type:Article
Uncontrolled Keywords:Vascular remodeling; Network; Rheology; Poiseuille flow; Kirchoff's law
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:345
Deposited By:Philip Maini
Deposited On:10 Nov 2006
Last Modified:20 Jul 2009 14:20

Repository Staff Only: item control page