Hemodynamic consequences of replacing the aorta by vascular grafts simulated in a mathematical model

Replacing parts of the aorta by a noncompliant vascular prosthesis results in marked alterations of the aortic input impedance and influences arterial hemodynamics. We propose a mathematical model of circulation able to predict hemodynamic changes after simulation of vascular grafting.

Using a mathematical 128-branch model of the human arterial system a digitized aortic flow wave was chosen as the input signal to this system. After determination of the modules of elasticity of native vascular tissue and customary prostheses in technical experiments, replacement of any part of the aorta with a prosthesis was simulated by increasing the elasticity in the parts desired.

During control conditions, the model displayed a physiologic distribution of flow and pressure waves throughout the arterial system. Simulated replacement of the aorta resulted in an increase of pressure amplitude and a partial loss of the aortic "Windkessel" function. Calculation of the aortic input impedance showed an increase of the characteristic impedance, while the peripheral resistance remained unaltered.

This mathematical model of the arterial circulation proves to be useful to simulate hemodynamic changes after implantation of vascular grafts. The results of the model analysis are consistent with previous work done in experimental setups.