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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.

Original publication

DOI

10.1016/j.mvr.2005.02.002

Type

Journal article

Journal

Microvasc Res

Publication Date

05/2005

Volume

69

Pages

156 - 172

Keywords

Blood Circulation Time, Blood Flow Velocity, Capillaries, Hemorheology, Models, Cardiovascular, Stress, Mechanical