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The Dispersion and Dissipation of Waves in Blood Vessels
註釋Dispersion and dissipation phenomena associated with waves propagating in blood vessels are potential measures of the distensibility of the vessels and other cardiovascular parameters. In this investigation we assume the vessels to behave like thin-walled circular cylindrical shells filled with an inviscid compressible fluid. The vessel wall is assumed to have isotropic and homogeneous viscoelastic properties. The waves are described by small three-dimensional displacements of the middle surface of the shell from an equilibrium configuration defined by a mean transmural pressure and an initial axial strain. The fluid motion associated with the waves is considered as irrotational. The linearized differential equations of motion are based on the shell equations derived by Flugge. (Author).