Abstract
A mathematical blood vessel mode is established of a semi-infinite, fluid filled, cylindrical, elastic tube where a pressure wave is propagated in the fluid. This model has assigned to it physical values of the aorta and is subject to a pressure pulse at the origin of the same configuration and magnitude as that observed in the human. The resulting mathematical solution demonstrates wall displacement in agreement with observed phenomena of (a) a high frequency component analogous to cardiovascular sounds; (b) a low frequency component resembling the pressure pulse analogous to the pulsatile movement of the vessel wall.
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Singer, A. Mathematical model analysis of pressure pulse propagation of the aortic wall. Bulletin of Mathematical Biophysics 29, 451–464 (1967). https://doi.org/10.1007/BF02476584
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DOI: https://doi.org/10.1007/BF02476584