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Original Articles

Mathematical analysis of blood flow through an arterial segment with time‐dependent stenosis

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Pages 401-412 | Received 11 Dec 2007, Published online: 14 Oct 2010

References

  • Cassanova , R.A. and Giddens , D.P. 1978 . Disorder distal to modeled stenosed in steady and pulsatile flow . J. Biomech. , 11 : 441 – 453 .
  • Charm , S. and Kurland , G. 1965 . Viscometry of human blood for shear rates 0–10,000 sec-1 . Nature , 206 : 617 – 618 .
  • Chaturani , P. and Pannalagar , R. 1986 . Pulsatile flow of Casson's fluid through stenosed arteries with application to blood flow . Biorheology , 23 : 499 – 511 .
  • Chaturani , P. and Samy , R.P. 1985 . A study of non‐Newtonian aspects of blood flow through stenosed arteries and its applications in arterial diseases . Biorhealogy , 22 : 521 – 531 .
  • Forrester , J.H. and Young , D.F. 1970 . Flow through a converging and diverging tube and the implication in occlusive vascular disease . J. Biomech , 3 : 127 – 316 .
  • Gupta , B.B. , Nigam , K.M. and Jaffrin , M.Y. 1982 . A three‐layer semi‐empirical model for flow of blood and other particulate suspensions through narrow tubes . J. of Biomech. Eng. , 104 : 129 – 135 .
  • Halder , K. 1987 . Oscillatory flow of blood in stenosed artery . Bull. math. Biology , 49 (3) : 279 – 287 .
  • Halder , K. and Andersson , H.I. 1996 . Two‐layered model of blood flow through stenosed arteries . Acta Mech. , 117 : 221 – 228 .
  • Karino , T. and Goldsmith , H.L. 1977 . Flow behavior of blood cells and rigid spheres in annular vortex . Philos. Trans. R. Soc. London , B279 : 413 – 445 .
  • McDonald , D.A. 1979 . On steady flow through modeled vascular stenosis . J. Biomech , 12 : 13 – 20 .
  • Misra , J.C. and Ghosh , S.K. 2000 . Flow of a Casson fluid in a narrow tube with a side branch . Int. J. Eng. sci. , 38 : 2045 – 2077 .
  • Misra , J.C. and Ghosh , S.K. 2003 . Pulsatile flow of a viscous fluid through a porous elastic vessel of variable cross‐section: A mathematical model for hemodynamic flows . Comput. and Math. with Applic. , 46 : 447 – 457 .
  • Misra , J.C. and Chakravarty , S. 1986 . Flow of arteries in the presence of stenosis . J.> Biomech. , 19 (11) : 907 – 918 .
  • Misra , J.C. and Shit , G.C. 2006 . Blood flow through arteries in pathological state: A theoretical study . Int. J. Eng. sci. , 44 : 662 – 671 .
  • Sankar , D.S. and Hemalatha , K. 2006 . Pulsatile flow of Herschel‐Bulkley fluid through stenosed arteries ‐ A mathematical model . Int. J. Non‐Linear Mech. , 41 : 979 – 990 .
  • Sharan , M. and Popel , A.S. 2001 . A two‐phase model for flow of blood in narrow tubes with increased effective viscosity near the wall . Biorheology , 38 : 415 – 428 .
  • Shukla , J.B. , Parihar , R.S. and Gupta , S.P. 1980 . Effects of peripheral layer viscosity on blood flow through the artery with mild stenosis . Bull.Mathl.Biology , 42 : 797 – 805 .
  • Shukla , J.B. , Parihar , R.S. and Rao , B.R.P. 1980 . Effects of stenosis on non‐newtonian flow of the blood in an artery . Bull. Mathl. Biology , 42 : 283 – 294 .
  • Siddiqui , S.U. , Verma , N.K. , Mishra , S. and Gupta , R.S. 2007 . Mathematical modeling of pulsatile flow of Casson's fluid in arterial stenosis . Appl. Math. and Comput. , In press Doi:10.1016/j.amc.2007.05.070
  • Sud , V.K. and Sekhon , G.S. 1985 . Arterial flow under periodic body acceleration . Bull.Math. Biol. , 47 : 35 – 52 .
  • Tu , C. and Deville , M. 1996 . Pulsatile flow of non‐Newtonian fluid through arterial stenosis . J. Biomech. , 29 : 899 – 908 .
  • Young , D.F. 1968 . Effects of time‐depended stenosis of flow through a tube . J. Eng. Ind. Trans. ASME , 90 : 248 – 254 .
  • Young , D.F. 1979 . Fluid mechanics of arterial stenosis . J. Biomech. Eng. Trans. ASME , 101 : 157 – 175 .
  • Young , D.F. and Tsai , F.Y. 1973 . Flow characteristic in models of arterial stenosis‐II. Unsteady flow . J. Biomech. , 6 : 465 – 475 .

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