Abstract
The standard approximation method used in mathematical biophysics is applied to the problem of flow of an incompressible viscous fluid in an elastic distensible tube. It is found that the wall of the tube may perform damped transversal harmonic oscillations due to that flow. The phenomenon is independent of the viscosity, the latter contributing only a damping factor. While, due to rather rough approximations, the practical applicability of the equation derived is rather limited, it is suggested that they may give a clue to the understanding of vibrations of the walls of blood vessels which long ago have been suggested as the possible source of some hemic murmurs.
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Rashevsky, N. A problem in the mathematical biophysics of blood circulation: I. Bulletin of Mathematical Biophysics 7, 25–33 (1945). https://doi.org/10.1007/BF02478256
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DOI: https://doi.org/10.1007/BF02478256