This theoretical study establishes a mathematical model for nonlinear pulse waves in blood vessels, contributing to the understanding of vascular hemodynamics.
Theoretical model of nonlinear vascular waves may advance hemodynamic simulations; leaves open clinical validation.
The theory of nonlinear pulse waves due to nonlinearity of vascular walls is established. The blood is supposed to behave as an incompressible and homogeneous fluid obeying the Navier-Stokes equation, while the blood vessel is assumed to be a long axisymmetric tube whose mechanical properties are prescribed experimentally. The problem of the modulation of pressure waves is investigated.
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Niimi et al. (1975) studied this question.
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