Abstract:
We describe a nonlinear model for the propagation of
pressure and flow waves in the arterial tree. Mathematically, this is
based on a Boussinesq-type system, which describes bi-directional wave
propagation, and in which the dispersion effects (amplitude-dependent
speed of propagation) as well as nonlinear effects are present. The
prestressed nature of the vessels in which the propagation occurs
determines the characteristics of the transmitted and reflected waves,
at terminal ends and at bifurcations. The peripheral resistance also
contributes to the temporal and spatial dynamics of the arterial
pressure. We indicate how our model can explain the effects of various
autoregulatory mechanisms in the cardiovascular system.
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