Effect of body acceleration on unsteady flow of blood past a time- dependent arterial stenosis

Mathematical and Computer Modelling

Volumn 24, Issue 2, 1996, Pages 57-74

  Chakravarty, S ^a   Datta, A ^a   Mandal, P K ^a  

^a VISVA BHARATI UNIVERSITY   (India)

Author keywords

Body acceleration; Resistive impedance; Short time range; Stenosis; Viscoelasticity; Wall shear stress

Indexed keywords

EID: 0030184079     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/0895-7177(96)00090-8     Document Type: Article

References (29)

1. 1. D.F. Young, Effect of a time-dependent stenosis on flow through a tube, J. Engng. Ind. Trans. ASME 90, 248-254 (1968).
2. 2. J.H. Forrester and D.F. Young, Flow through a converging-diverging tube and its implications in occlusive vascular diseases, J. Biomech. 3, 297-316 (1970).
3. 3. J.S. Lee and Y.C. Fung, Flow in locally constricted tubes at low Reynold's numbers, J. Appl. Mech. Trans., ASME Series E37, 9-16 (1970).
4. 4. D.F. Young and F.Y. Tsai, Flow characteristics in models of arterial stenosis - I. Steady flow, J. Biomech. 6, 395-411 (1973).
5. 5. J.C. Misra and S. Chakravarty, Flow in arteries in the presence of stenosis, J. Biomech. 19, 907-918 (1986).
6. 6. D. Hershey, R.E. Byrnes, R.L. Deddens and A.M. Rao, Blood rheology: Temperature dependence of the Power law model, Presented at the A.I.Ch.E. Meeting, Boston, 1964.
7. -1, Nature 206, 617-618 (1965).
8. 8. R.L. Whitmore, Rheology of the Circulation, Pergamon Press, New York, (1968).
9. 9. C.D. Han and B. Barnett, Measurement of the rheological properties of biological fluids, In Rheology of Biological Systems, (Edited by H.L. Gabelnick and M. Litt), p. 195, Charles C. Thomas, Illinois, (1973).
10. 10. A. Lessner, J. Zahavi, A. Silberberg, E.H. Frei and F. Dreyfus, The viscoelastic properties of whole blood, In Theoretical and Clinical Hemorheology, (Edited by H. Hartert and A.L. Copley), pp. 194-205, (1971).
11. 11. G.B. Thurston, Frequency and shear rate dependence of viscoelasticity of human blood, Biorheology 10, 375-381 (1973).
12. 12. A.L. Copley, R.G. King, S. Chien, S. Usami, R. Skalak and C.R. Huang, Microscopic observations of viscoelasticity of human blood in steady and oscillatory shear, Biorheology 12, 257-263 (1975).
13. 13. S. Chien, R.G. King, R. Skalak, S. Usami and A.L. Copley, Viscoelastic properties of human blood and red cell suspension, Biorheology 12, 341-346 (1975).
14. 14. J.C. Healy and M. Joly, Rheological behaviour of blood in transient flow, Biorheology 12, 335-340 (1975).
15. 15. J.F. Stoltz, S. Gaillard and M. Guillot, An approach of the viscoelastic properties of blood in transient flow, In Biorheology, AIChE Symposium Series 182, (Edited by C.R. Huang and A.L. Copley), pp. 4-9, American Institute of Chemical Engineers, New York, (1978).
16. 16. G.B. Thurston, Significance and methods of measurement of viscoelastic behaviour of blood, In The Rheology of Blood, Blood Vessels and Associated Tissues, (Edited by D.R. Gross and N.H.C. Hwang), pp. 236-256, Sijthoff Noordhoff, Alphen aan den Rijn, (1981).
17. 17. M. Kaibara and E. Fukada, The effect of steady flow on transient viscoelastic behaviour of blood, Biorheology 18, 405-413 (1981).
18. 18. A.C. Burton, Introductory text, Physiology and Biophysics of the Circulation, Year Book Medical Publisher, Chicago, (1966).
19. 19. D.J. Patel and D.L. Fry, Longitudinal tethering of arteries in dogs, Circulation Res. 19, 1011-1021 (1966).
20. 20. H.B. Atabek, Wave propagation through a viscous fluid contained in a tethered, initially stressed orthotropic elastic tube, Biophys. J. 8, 626-649 (1968).
21. 21. D.U. Von Rosenburg, Methods for the Numerical Solution of Partial Differential Equations, Elsevier, New York, (1969).
22. 22. V.I. Krylov and N.S. Skoblya, A Handbook of Methods of Approximate Fourier Transformation and Inversion of Laplace Transformation, Mir Publisher, Moscow, (1977).
23. 23. I. Mirsky, Wave propagation in a viscous fluid contained in an orthotropic elastic tube, Biophys. J. 7, 165-186 (1967).
24. 24. J.T. Young, R.N. Vaishnab and D.J. Patel, Nonlinear anisotropic viscoelastic properties of canine arterial segments, J. Biomech. 10, 549-559 (1977).
25. 25. W.R. Milnor, Hemodynamics, Williams and Williams, Baltimore, (1982).
26. 26. G.B. Thurston, Effects of viscoelasticity of blood on wave propagation in the circulation, J. Biomech. 9, 13-20 (1976).
27. 27. E.O. Attinger, Pulsatile Blood Flow, McGraw-Hill, New York, (1964).
28. 28. D.L. Fry, Acute vascular endothelial changes associated with increased blood velocity gradient, Circulation Res. 22, 165-197 (1968).
29. 29. L.M. Srivastava, Flow of couple stress fluid through stenotic blood vessels, J. Biomech. 18, 479-485 (1985).