Elsevier

Physics Letters A

Volume 194, Issues 1–2, 24 October 1994, Pages 77-82
Physics Letters A

Nonlinear science
Dynamics of nonlinear blood pressure waves in large arteries

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Abstract

We present a nonlinear quasi-one-dimensional model which describes blood pressure propagation in large arteries. In the limit of an ideal fluid and for slowly varying arterial parameters a Boussinesq-type equation is obtained. Numerical simulations reveal the influence of changing the diameter and the Young modulus on the pressure pulse shape. Physiological features such as “peaking” and “steepening” show that the pulse can be seen as a wave whose shape evolves between a solitary and a shock wave.

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