Modeling of a compliant arterial stenosis and its effects on arterial pressure and flow dynamics: implications for chaos

Abstract

Two models for a compliant (deformable) arterial stenosis are discussed. These models take into account the pulsatile pressure and flow of the arterial system as well as some inherent nonlinear properties of this system and the stenosis. A mathematical model which was partly simulated on a computer was developed. The other model was an in vitro (physical) model involving a Starling resistor chamber as the stenosis. Initial tests were performed on both models. The results of these tests give some proof to the presences of chaos in the vicinity of a stenosis.<>