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Provides a non-linear theoretical mathematical model for describing blood flow and pulse wave propagation in arteries.
A quasilinear partial differential equation of the second order has been obtained to describe the flow of a viscous fluid through tubes with elastic walls. The equation has been generally derived from the variational principle. Applying this method to the description of the blood flow in arteries, an expression describing the velocity of the propagation of the pulse wave has been given. Passing over to the linear theory one obtains results consistent with those of Korteweg and King.
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S. Mie̢kisz (1961) studied this question.
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