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Multiscale modelling of pressure and flow in the pulmonary circulation

Presented by: 
Nicholas Hill
Friday 11th December 2015 - 10:00 to 11:00
INI Seminar Room 1
A multiscale computational model has been developed to predict flow and pressure in the pulmonary circulation, in which the flow and pressure in the smaller blood vessels are described using linearised equations in pairs of asymmetric structured trees joined at the roots. The geometric and elastic properties of all the blood vessels are described by physiological parameters. Magnetic resonance imaging (MRI) is used to determine the geometry of the large pulmonary arteries and veins, and to measure the cardiac output from the right ventricle. The flow in the large blood vessels is solved using a Lax--Wendroff scheme, and the admittances of the structured trees provide the boundary conditions linking each large artery to its respective large vein. The model predicts flow and pressure in both the large and small vessels down to 50 microns in radius, providing important data about the local physiological environment experienced by tissues and cells.

The results of simulating various pathological conditions are in agreement with clinical observations, showing that the model has potential for assisting with diagnosis and treatment of circulatory diseases within the lung. We use wave intensity analysis to study the propagation of forward and backward, compression and decompression waves in our model. The approximations for the pulse wave velocity used in experiments on wave intensity analysis are assessed, and reflected waves lower the peak pressure in the right ventricle.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons