Skip to main content
SpringerLink
Log in

On the effect of the concentration profile of red cells on blood flow in the artery with stenosis

  • Published:
Bulletin of Mathematical Biology Aims and scope Submit manuscript

Abstract

The effects of the viscosity-concentration dependence and of the concentration profile on blood flow through a vessel with stenosis have been studied. The flow resistance and the wall shear stress have been found to be smaller than in the two-fluid model with constant viscosities.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature

  • Brooks, D. E., J. W. Goodwin and G. V. F. Seaman. 1970. “Interactions among Erythrocytes under Shear.”J. appl. Physiol.28 172–177.

    Google Scholar 

  • Bugliarello, G. and J. Sevilla. 1970. “Velocity Distribution and other Characteristics of Steady and Pulsatile Blood Flow in Fine Glass Tubes.”Biorheology 7, 85–107.

    Google Scholar 

  • Charm, S. E., G. S. Kurland and S. L. Brown. 1968. “The Influence of Radial Distribution and Marginal Plasma Layer on the Flow of Red Cell Suspensions.”Biorheology,5, 15–43.

    Google Scholar 

  • Chien, S., S. Usami, R. J. Dellenback and M. I. Gregersen. 1967. “Blood Viscosity: Influence of Erythrocyte Deformation.”Science, N.Y.,157, 827–829.

    Google Scholar 

  • Cokelet, G. R. 1972. “The Rheology of Human Blood.” InBiomechanics, Its Foundations and Objectives. Eds. Y. C. Fung, N. Perrone and M. Anliker, pp. 63–103. Englewood Cliffs, NJ: Prentice-Hall.

    Google Scholar 

  • Kang, C. K. and A. C. Eringen. 1976. “The Effect of Microstructure on the Rheological Properties of Blood.”Bull. math. Biol.,38, 135–159.

    Article  MATH  Google Scholar 

  • Quemada, D. 1977. “Rheology of Concentrated Disperse Systems and Minimum Energy Dissipation Principle I. Viscosity-Concentration Relationship.”Rheol. Acta 16, 82–94.

    Article  Google Scholar 

  • Říha, P. 1979. “The Distribution of Particles in Tube Flows of fluid Suspensions.”Z. angew. Math. Mech.,59, 388–390.

    Google Scholar 

  • Shukla, J. B., R. S. Parihar and S. P. Gupta. 1980a. “Effects of Peripheral Layer Viscosity on Blood Flow through the Artery with Mild Stenosis.”Bull. math. Biol.,42, 797–805.

    Article  MATH  Google Scholar 

  • — and B. R. P. Rao. 1980b. “Effects of Stenosis on Non-Newtonian Flow of the Blood in an Artery.”Bull. math. Biol.,42, 283–294.

    Article  MATH  Google Scholar 

  • —, S. P. Gupta and R. S. Parihar. 1980c. “Biorheological Aspects of Blood Flow through Artery with Mild Stenosis: Effects of Peripheral Layer.”Biorheology 17, 403–410.

    Google Scholar 

  • Young. D. F. 1968. “Effects of Time-dependent Stenosis on Flow through a Tube.”J. Engng Ind. Trans. ASME 90, 248–254.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Medical Physics, University of Helsinki, Siltavuorenpenger 10, 00170, Helsinki 17, Finland

    J. Perkko

  2. Department of Theoretical Physics, University of Helsinki, Siltavuorenpenger 20 C, 00170, Helsinki 17, Finland

    R. Keskinen

Authors
  1. J. Perkko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. Keskinen
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Perkko, J., Keskinen, R. On the effect of the concentration profile of red cells on blood flow in the artery with stenosis. Bltn Mathcal Biology 45, 259–267 (1983). https://doi.org/10.1007/BF02462360

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02462360

Keywords

Search

Navigation