How can I drive flow rate waveform using Womersley pressure-flow relation in an artery?

05 June 2023 0 7K Report

I want to simulate pulsatile blood flow in coronary artery. Therefore, I must drive flow rate waveform in different Womersley numbers using Womersley pressure-flow relation. I have obtained the pressure gradient equation in coronary arteries as a Fourier series with 6 terms (using MATLAB curve fit). How can I use this equation to obtain flow rate waveform in different Womersley numbers?

I attached two figures (from O'Brien et al. 2013) which have been done for renal arteries. I want to obtain this figures for coronary arteries.

Thank you in advance for your answers.

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