This computational study demonstrates the feasibility of using 1D models to simulate blood flow dynamics and the impact of vascular interventions like stenting in the human arterial tree.
No immediate change to clinical practice; extends 1D methods for prosthesis simulation in large arterial networks.
In this paper we numerically investigate a one‐dimensional model of blood flow in human arteries using both a discontinuous Galerkin and a Taylor–Galerkin formulation. The derivation of the model and the numerical schemes are detailed and applied to two model numerical experiments. We first study the effect of an intervention, such the implantation of a vascular prosthesis (e.g. a stent), which leads to an abrupt variation of the mechanical characteristics of an artery. We then discuss the simulation of the propagation of pressure and velocity waveforms in the human arterial tree using a simplified model consisting of the 55 main arteries.
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Sherwin et al. (2003) studied this question.
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