Modelling the Microvasculature using a new Boundary Integral Formulation for Biphasic Mixture Theory

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• Dr Richard Clarke, University of Auckland
• Monday 30 November 2015, 14:00-15:00
• Aston Webb WG12.

If you have a question about this talk, please contact David Smith.

The Endothelial Glycocalyx Layer, a brushlike layer that coats the insides of blood vessels, is believed to fulfill a number of important roles in the microvasculature. These include, somewhat paradoxically, acting as a protective barrier against excessive fluid shear stresses, whilst at the same time acting as a transducer of mechanical signals from the blood flow to the vessel wall. The layer itself is fragile, and so difficult to examine in a controlled in vitro environment. As such, we have developed theoretical and computational models that can probe the poroelastohydrodynamics of this layer. We have developed boundary integral representation of the governing Biphasic Mixture Theory equations, which allows us to efficiently compute the dynamics in a physiologically-realistic geometry that is informed by Confocal Microscopy data. Our results shed some light on the impact of redistribution of this layer in the presence of shear flow, as well as the means by which the layer can transduce mechanical signals, at the same time as protecting the wall cells from damaging levels of shear stress.

This talk is part of the Applied Mathematics Seminar Series series.

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• Applied Mathematics Seminar Series
• Aston Webb WG12
• School of Mathematics Events

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