An evolution of pulse speed in arteries

Bulletin of Mathematical Biology

Volumn 58, Issue 1, 1996, Pages 129-140

  Demiray, Hilmi ^a,b  

^a MATERIALS INSTITUTE   (Turkey)

^b ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; ARTERY; ARTICLE; BIOLOGICAL MODEL; ELASTICITY; HISTOLOGY; MATHEMATICS; PHYSIOLOGY; VASCULAR SMOOTH MUSCLE;

ANIMALS; ARTERIES; ELASTICITY; MATHEMATICS; MODELS, CARDIOVASCULAR; MUSCLE, SMOOTH, VASCULAR;

EID: 0029682214     PISSN: 00928240     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02458285     Document Type: Article

References (17)

1. Anliker M., M. B. Histand and E. Ogden. 1968. Dispersion and attenuation of small artificial pressure waves in the canine aorta. Circulation Res. 23, 539-551.
2. Atabek, H. B. and H. S. Lew. 1966. Wave propagation through a viscous incompressible fluid contained in an initially stressed elastic tube. Biophys. J. 7, 480-503.
3. Bergel, D. H. 1961. The static elastic properties of arterial wall. J. Physiol. 156, 445-457.
4. Demiray, H. 1976a. Some basic problems in biophysics. Bull. Math. Biol. 38, 701-711.
5. Demiray, H. 1976b. Stresses in ventricular wall. Trans. ASME Ser. E. J. Appl. Mech. 98, 194-197.
6. Demiray, H. 1988. Pulse velocities in initial stressed arteries. J Biomech. 21, 55-58.
7. Demiray, H. 1992. Wave propagation through a viscous fluid contained in a prestressed thin elastic tube. Int. J. Eng. Sci. 30, 1607-1620.
8. Demiray, H. and N. Antar. 1994. Harmonic waves in an elastic thin tube filled with a viscous fluid. Unpublished.
9. Demiray, H. and A. Ercengiz. 1991. Wave propagation in a prestressed elastic tube filled with a viscous fluid. Int. J. Eng. Sci. 29, 575-583.
10. Eringen, A. C. 1962. Nonlinear Theory of Continuous Media. New York: McGraw-Hill.
11. Fung, Y. C. 1985. Biodynamics: Circulation. New York: Springer.
12. Fung, Y. C., K. Fronek and P. Pattitucci. 1979. Pseudoelasticity of arteries and choice of its mathematical expression. Am. J. Physiol. 35, 626-631.
13. Kuiken, G. D. C. 1984. Wave propagation in a thin walled liquid-filled initially stressed tube. J. Fluid. Mech. 141, 289-308.
14. Mirsky, I. 1973. Ventricular and arterial wall stresses based on large deformation analysis. Biophys. J. 13, 1141-1159.
15. Rachev, A. I. 1979. Effect of transmural pressure and muscular activity on pulse waves in arteries. Trans. ASME J. Biomech. Eng. 102, 119-123.
16. Simon, B. R., A. S. Kobayashi, D. E. Stradness and C. A. Wiederhelm. 1972. Reevaluation of arterial constitutive laws. Circulation Res. 30, 491-500.
17. Womersley, J. R. 1957. An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries. Technical Report TR 56-614, WADC.