prof. Natalia Kizilova, ZA MEiL, Numerical computations of blood flow and wave propagation along human aorta

A brief review on mathematical models and numerical methods for blood flow in arteries and a comparative analysis of the computation results with measurement data will be presented. The flow resistivity and wave transmission properties of human aorta from its root to bifurcation have been studied on individual geometries of five volunteers and five cadaveric data sets. It is shown, in the relaxed state the main aortic bifurcations are well matched and aorta serves as an optimal waveguide except for aortic bifurcation. The pressure and flow distributions along aorta are computed based on 1d nonlinear model of plane waves in the fluid-filled distensible tubes. The obtained regularity in the wave peakening and steepening correspond to the measured data. Coarctation of the aorta was modeled on the ten geometries with three different locations of aortic narrowing at 5-75% in comparison to the healthy state. The computation results are compared to the medical data.