Transport By Pulsatile Flow In A Branching
Network Of Cerebral Vasculature
Author(s)
I. D. Šutalo, A. V. Bui, K. Liffman & R. Manasseh
Abstract
The supply of oxygen and glucose by blood flow is vital to the normal function
of the brain and the deficit of either of these metabolism elements can cause
severe degradation of the brain functionality. The transport of materials in the
complex multi-branching structure of the cerebral vasculature is investigated to
predict brain oxygenation under normal conditions.
A mathematical model of material transport due to pulsatile flow in a
complex dichotomous branching tree network was developed which incorporated
material-geometry interaction and diffusion across the blood vessel wall. Unlike
previous work, this modelling work includes the full network structure and
incorporates time-dependent flow.
The predicted results indicate some effect of the flow transients on the
propagation of the material introduced at the root segment in the vascular
network. The effect was more pronounced in the case of constant blood
viscosity. The transport model addressed the issue of oxygen transport in the
cerebral vascular branching network with the inclusion of red blood cell (RBC)
separation at bifurcation points. The predicted results indicate the significance of
the vascular network geometry and RBC-bifurcation point interaction in defining
the homogeneity of flow and oxygenation by the fractal vasculature. The
simulations are found to be able to provide insights into the transport of materials
by the blood circulation in the cerebral vasculature and the various factors which
Keywords
cerebral vasculature, branching tree, pulsatile flow, red blood cells, brain oxygenation
Related Book
Other papers in this volume
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