Obtaining the Dicrotic Notch by Numerical Simulation Using the Ogden Model

Abstract

A proposal for the better understanding of the ascending aorta mechanical behavior is made. It is proposed that the dicrotic notch on the cardiac cycle is the result to the stimulus of an hyper elastic material. This proposal is sustained by the numerical study of the interaction between the blood flow and the arterial walls. The Navier-Stokes equations for the blood flow are solved with the initial conditions and the physical properties corresponding to an average healthy human aorta. The obtained velocity and pressure fields increase the stress on the solid wall(arterial wall), consequently the behavior of the aorta under the blood flow is obtained. Solutions to the 3D governing equations are obtained through algorithms that solve for the weak form of the coupling between the blood flow and arterial wall. This method is valid for non-linear models subjects to large deformations. Computational results are verified by available experimental data for tensile tests of the ascending aorta. Realistic parameters for both the isotropic hyper elastic Ogden and neo-Hookean models were obtained.