Mathematical model of an arterial stenosis, allowing for tethering
Received: 21 September 1979 Revised: 18 April 1980 DOI:
Cite this article as: Padmanabhan, N. & Devanathan, R. Med. Biol. Eng. Comput. (1981) 19: 385. doi:10.1007/BF02441299 Abstract
Closed-form solutions are presented for approximate equations governing the pulsatile flow of blood through models of mild axisymmetric arterial stenosis, taking into account the effect of arterial distensibility. Results indicate the existence of back-flow regions and the phenomenon of flow-reversal in the cross-sections. The effects of pulsatility of flow and elasticity of vessel wall for arterial blood flow through stenosed vessels are determined.
Keywords Arterial stenosis Circulation Modelling References Back, L. D., Radbill, J. R.
Crawford, D. A.
(1977) Analysis of pulsatile viscous blood flow through diseased coronary arteries of man.
CrossRef Clark, C.
(1977) Turbulent wall pressure measurements in a model of aortic stenosis.
CrossRef Forrester, J. H.
Young, D. F.
(1970) Flow through a convergent divergent tube and its implications in occlusive vascular disease.
CrossRef Fry, D. L. (1960) Acute vascular endothelial changes associated with increased blood velocity gradients. Circ. Res., 22, 165–197. Fung, Y. C., Perrone, N. and Anliker, M. (1971) Biomechanics: its foundations and objectives. Prentice Hall Inc., NJ, USA. Lee, J. S.
Fung, Y. C.
(1970) Flow in locally constricted tube at low Reynolds numbers.
Trans. ASME. J. Appl. Mech.
MATH CrossRef Lightfoot, E. N. (1974) Transport phenomenon and cardiovascular systems. John Wiley and Sons, New York. Milnor, W. R. (1972) Pulmonary hemodynamics. In Bergel, D. H. (Ed.) Cardiovascular fluid dynamics, 2, Academic Press. Murphy, G. M.
Ordinary differential equations and their solutions
. Van Nostrand, New Jersey.
MATH Padmanabhan, N.
(1980) Mathematical model of arterial stenosis.
Med. & Biol. Eng. & Comput.
CrossRef Skalak, R. and Stathis, T. (1966) A porous tapered elastic tube model of a vascular bed. Biomech. symp. ASME, New York, 68–81. Young, D. F. (1968) Effect of a time dependent stenosis on flow through a tube. Trans. ASME. J. Eng. Ind., 90, 248–254. Young, D. F.
Tsai, F. Y.
(1973) Flow characteristics in models of arterial stenosis, I, II.
, 395–410, 547–559.
CrossRef Copyright information
© International Federation for Medical & Biological Engineering 1981