Abstract
Compliance in fluid carrying vessels is the capability of interacting with flow and attenuating waves via mechanisms such as the Windkessel effect. In this paper we investigate how vessel compliance impacts the dynamics of flow and pressure in the transient regime shortly after changes in boundary conditions. We show that individual vessels as well as networks composed of many such vessels can exist in one of two possible regimes, one in which transient dynamics are fast and one in which it is slow. These results can be used to analyze the response capabilities of biological flow networks such as the animal vasculature.
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