PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

The biomechanics of atherosclerosis development

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we investigate the bio-mechanics of atherosclerosis development in human physiology. Blood is modelled as an incompressible fluid of variable viscosity flowing in a slightly diverging channel (i.e. large artery) of small aspect ratio [1]. The hypothetical viewpoint in this work is the existence of relationship between the atherosclerosis development, blood viscosity, flow separation and turning points in the flow field. The problem is tackled by asymptotic approximation and the graphical results are discussed quantitatively.
Rocznik
Strony
23--31
Opis fizyczny
Bibliogr. 21 poz., tab., wykr.
Twórcy
  • University of North, Applied Mathemativs Department, Republic of South Africa
autor
  • Vista University, Mathematics Department, Republic of South Africa
autor
  • Universuty of Zimbabwe, Mathematics Department, Zimbabwe
autor
  • Universuty of Bostwana, Mathematics Department, Bostwana
Bibliografia
  • [1] G.A. Baker Jr. Essentials of Fade Approximants. Academic Press, New York, 1975.
  • [2] G.K. Batchelor. An Introduction to Fluid Dynamics. Cambridge University Press, 1967.
  • [3] H. Blasius. Laminare Stromung in Kanalen wechselnder Breite. Z. Math. Phys., 58: 225-233, 1910.
  • [4] J.C.F. Chow, K. Soda. Laminar flow and blood oxygenation in channels with boundary irregularities. J. Appl. Mech. (Trans. ASME), 40: 843, 1973
  • [5] P.G. Drazin. Nonlinear Systems. Cambridge University Press, 1992.
  • [6] P.G. Drazin, Y. Tourigny. Numerical study of bifurcation by analytic continuation of a function defined by a power series. SIAM Journal of Appl. Math., 56: 1-18, 1996.
  • [7] M. van Dyke. Computer-extended series. Annual Rev. Fluid Mech., 16: 287-309, 1984.
  • [8] J.A. Fox, A.E. Hugh. Localization of atheroma: a theory based on boundary layer separation. Br-. Heart J., 28: 388-399, 1966.
  • [9] A.J. Lee. Blood viscosity related to risk of early atherosclerosis in men. Circulation, 97: 1467-1473, 1998.
  • [10] M.J. Lighthill. Physiological fluid dynamics: A survey. J. Fluid Mech., 52: 475-497, 1972.
  • [11] R.D. Lucas. A perturbation solution for viscous incompressible flow in channels. Ph.D. dissertation, Stanford Univ., Stanford, Ca., USA, 1972.
  • [12] O.D. Makinde. Laminar flow in a channel of varying width with permeable boundaries. Rom. J. Phys., 40: 403-417, 1995.
  • [13] O.D. Makinde. Steady flow in a linearly diverging asymmetrical channel. GAMES 4: 157-165, 1997.
  • [14] O.D. Makinde. Extending the utility of perturbation series in problems of laminar flow in a porous pipe and a diverging channel. J. Austral. Math. Soc. Ser. B , 41: 118-128, 1999.
  • [15] O.D. Makinde. Effect of variable viscosity on arterial blood flow. Far East J. Appl. Math., 4(1): 43-58, 2000.
  • [16] M.J. Manton. Low Reynolds number flow in slowly varying axisymmetric tubes. J. Fluid Mech., 49: 401, 1971.
  • [17] D.A. McDonald. Steady flow in tubes of slowly varying cross-sections. J. Appl. Mech., 4: 475, 1978.
  • [18] T.J. Pedley. The Fluid Mechanics of Large Blood Vessels. Cambridge University Press, Cambridge, 1980.
  • [19] Ch. Peeyush, J.S.V.R. Krishna Prasad. Low Reynolds number flow in tubes of varying cross-section with absorbing walls. J. Math. Phys. Sci., 26: 19-36, 1992.
  • [20] F.T. Smith. Flow through constricted or dilated pipes and channels, Parts I and II. Quart. J. Mech. Appl. Math., 29: 343 and 365, 1976.
  • [21] R.I. Tanner. Pressure losses in viscometric capillary tubes of slowly varying cross-section. Brit. J. Appl. Physics, 17: 663-669, 1966.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0009-0060
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.