Summary
Herein we develop a linear one-dimensional model for impulse propagation in fluidfilled tubes. Area changes are related to pressure changes by means of convolution integrals of the creep or relaxation function for the tube wall material. The model is employed to study the propagation of pressure and flow pulses along initially uniform tubes and their subsequent interaction with various junctions characteristic of the arterial system.
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References
Lighthill, M. J.: Mathematical biofluiddynamics. Philadelphia: SIAM.
Lighthill, M. J.: Waves in fluids. Cambridge: Cambridge University Press 1978.
Pedley, T. J.: The fluid mechanics of large blood vessels. Cambridge: Cambridge University Press 1980.
Newman, D. L., Masters, N. J., McNulty, J. F.: Pulse-wave reflection in elastic tubes. Med. Biol. Engng.13, 720 (1975).
Maxwell, J. A., Anliker, M.: The dissipation and dispersion of small waves in arteries and veins with viscoelastic wall properties. Biophysical. J.8, 920 (1968).
Barclay, D. W., Moodie, T. B., Tait, R. J.: Padé extensions to ray series methods and analysis of transients in inhomogeneous viscoelastic media of hereditary type. Int. J. Engng. Sci.21, 663 (1983).
Moodie, T. B., Tait, R. J., Barclay, D. W.: Ray analysis and punching problems for stretched elastic plates. J. Austral. Math. Soc. (Series B)24, 98 (1982).
Moodie, T. B., Barclay, D. W., Tait, R. J.: Waves in inhomogeneous viscoelastic media of Boltzmann type. J. Rheology26, 405 (1982).
Barclay, D. W., Moodie, T. B., Haddow, J. B.: Waves in thin-walled, non-uniform, perfectly elastic tubes containing in compressible inviscid fluid. J. Acoust. Soc. Am.62, 1 (1977).
Chow, J. C. F., Apter, J. T.: Wave propagation in a viscous incompressible fluid contained in flexible viscoelastic tubes. J. Acoust. Soc. Am.44, 437 (1967).
Fung, Y. C.: Stress-strain-history relations of soft tissues in simple elongation. In: Biomechanics: Its foundations and objectives (Fung, Y. C., Perrone, N., Anliker, M., eds.). Englewood Cliffs, N.J.: Prentice-Hall 1972.
Testa, R. B., Bleich, H. H.: Longitudinal impact of a semi-infinite cylindrical viscoelastic shell. J. Appl. Mech.87, 813 (1965).
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Moodie, T.B., Barclay, D.W. & Tait, R.J. Pressure and flow pulses in viscoelastic arterial models with reflection sites. Acta Mechanica 53, 57–72 (1984). https://doi.org/10.1007/BF01176250
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DOI: https://doi.org/10.1007/BF01176250