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.
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.
|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|
|Deposited By:||Philip Maini|
|Deposited On:||10 Nov 2006|
|Last Modified:||29 May 2015 18:20|
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