A Soliton-Based Model Mimics the Arterial Pulse Propagation as Much as a Widely Used 1D Model

A comparison among two blood pressure pulse propagation models has made in this work. One of them is a traditional model based upon the Navier Stockes equations in one spatial dimension, the one along the direction of the arteries (from here NS1D), the other is based the concept of soliton propagation using the Korteweg De Vries equation (named KdV).

The arterial three is assumed a long successive connection of serial segments of arteries, at the inlet of the network (close up to the aorta), an acquired pulse, in vivo, wave is imposed. The computed of the peripheral blood pressure at the outlet of the final segment constitutes the output of the model (near the radial artery).

Both models reproduced main characteristics of the measured radial wave pressure for the same input.

The results show that the model KdV have many conceptual and computer benefits than the usual model NS1D that constitutes an interesting pathway for the scientific research.