A nonlinear two-dimensional model of blood flow in an overlapping arterial stenosis subjected to body acceleration

Mathematical and Computer Modelling

Volumn 24, Issue 1, 1996, Pages 43-58

  Chakravarty, S ^a   Mandal, P K ^a  

^a VISVA BHARATI UNIVERSITY   (India)

Author keywords

Atheroma; Body acceleration; Nonlinear; Overlapping stenosis; Single cardiac cycle

Indexed keywords

EID: 0030186212     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/0895-7177(96)00079-9     Document Type: Article

References (23)

1. 1. D.F. Young, Effects of a time dependent stenosis on flow through a tube, J. Engng. Ind. Trans. ASME 90, 248-254 (1968).
2. 2. D.F. Young, Fluid mechanics of arterial stenosis, J. Biomech. Engng. Trans. ASME 101, 157-175 (1979).
3. 3. J.H. Forrester and D.F. Young, Flow through a converging-diverging tube and its implications in occlusive vascular disease, J. Biomech. 3, 297-316 (1970).
4. 4. J.S. Lee and Y.C. Fung, Flow in locally constricted tubes at low Reynolds numbers, J. Appl. Mech. Trans. ASME Ser. E37, 9-16 (1970).
5. 5. D.F. Young and F.Y. Tsai, Flow characteristics in models of arterial stenosis - I. Steady flow, J. Biomech. 6, 395-411 (1973).
6. 6. J.C. Misra and S. Chakravarty, Flow in arteries in presence of stenosis, J. Biomech. 19, 907-918 (1986).
7. 7. M.G. Taylor, The influence of anomalous viscosity of blood upon its oscillatory flow, Phys. Med. Biol. 3, 273-290 (1959).
8. 8. S. Chakravarty and P.K. Mandal, Mathematical modelling of blood flow through an overlapping arterial stenosis, Mathl. Comput. Modelling 19 (1), 59-70 (1994).
9. 9. S.C. Ling and H.B. Atabek, A nonlinear analysis of pulsatile blood flow in arteries, J. Fluid Mech. 55, 492-512 (1972).
10. 10. K. Imaeda and F.O. Goodman, Analysis of nonlinear pulsatile blood flow in arteries, J. Biomech. 13, 1007-1022 (1980).
11. 11. M.F. O'Rourke and W.R. Milnor, Relation between differential pressure and flow in the pulmonary artery of the dog, Cardiovasc. Res. 5, 558-565 (1971).
12. 12. D.L. Fry, Measurement of pulsatile blood flow by the computed pressure gradient technique, IRE Trans. Med. Electron. ME-6, 259-264 (1959).
13. 13. E.P. Hiatt, J.P. Meechan and T.V. Galambos, Reports on human acceleration, Publication 901, NAS-NRC, Washington, DC, (1974).
14. 14. P.D. Verdouw, A. Noordergraff, A.C. Arntzenius and P.H. Huisman, Relative movement between subject and support in body acceleration applied synchronously with the heartbeat (BASH), Biblphy. Cardiol. 31, 57-62 (1973).
15. 15. A.C. Arntzenius, J.D. Laird, A. Noordergraff, P.D. Verdouw and P.H. Huisman, Body acceleration synchronous with the heartbeat, Biolphy. Cardiol. 29, 1-5 (1972).
16. 16. A.C. Burton, Introductory Text, Physiology and Biophysics of the Circulation, Year Book Medical Publisher, Chicago, (1966).
17. 17. D.J. Patel, J.C. Greenfield and D.L. Fry, In vivo pressure-length-radius relationship of certain blood vessels in man and dog, In Pulsatile Blood Flow, (Edited by E.O. Attinger), McGraw-Hill, New York, (1964).
18. 18. T.E. Carew, R.N. Baishnav and D.J. Patel, Compressibility of the arterial wall, Circul. Res. 23, 61-68 (1968).
19. 19. J.J. Manak, The two-dimensional in vitro passive stress-strain elasticity relationship for the steer thoracic aorta blood vessel tissue, J. Biomech. 13, 637-646 (1980).
20. 20. D.A. McDonald, Blood flow in arteries, Edward (1974).
21. 21. W.R. Milnor, Hemodynamics, Williams and Williams, Baltimore, MD, (1982).
22. 22. D.L. Fry, Acute vascular endothelial changes associated with increased blood velocity gradient. Circulation Res. 22, 165-197 (1968).
23. 23. L.M. Srivastava, Flow of couple stress through stenotic blood vessels, J. Biomech. 18, 479-485 (1985).