Skip to main content
SpringerLink
Log in

Biofluid Mechanics of Blood Circulation

  • Chapter
Book cover Prandtl’s Essentials of Fluid Mechanics

Part of the book series: Applied Mathematical Sciences ((AMS,volume 158))

  • 1517 Accesses

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Selected Bibiliography

  • D. W. Bechert, M. Bruse, W. Hage, R. Meyer. Fluid Mechanics of Biological Surfaces and their Technological Application. Naturwissenschaften, 87, 157–171, 2000.

    Article  Google Scholar 

  • D. M. Bushnell. Drag Reduction in Nature. Ann. Rev. Fluid Mech., 23, 65–79, 1991.

    Article  Google Scholar 

  • C. G. Caro, T. J. Pedley, W. A. Seed. The Mechanism of the Circulation. Oxford University Press, Oxford, 1978.

    Google Scholar 

  • R. T. W. L. Conroy, J. N. Mills. Human Circadian Rhythms. Churchill, London, 1970.

    Google Scholar 

  • R. de Simone. Three-Dimensional Color Doppler. Futura Publishing, Armonk, New York, 1999.

    Google Scholar 

  • O. Dössel. Bildgebende Verfahren in der Medizin. Springer, Berlin, Heidelberg, 2000.

    Google Scholar 

  • M. H. Friedman, C. B. Bargeron, D. D. Duncan, G. M. Hutchins, F. F. Mark. Effects of Arterial Compliance and Non-Newtonian Rheology on Correlations between Internal Thickness and Wall Shear. J. of Biomechanical Engineering, 114, 317–320, 1992.

    Google Scholar 

  • Y. C. Fung. Biomechanics: Motion, Flow, Stress and Growth. Springer, New York, Berlin, Heidelberg, 1990.

    Google Scholar 

  • Y. C. Fung. Biomechanics: Mechanical Properties of Living Tissues. Springer, Berlin, Heidelberg, New York, 1993.

    Google Scholar 

  • Y. C. Fung. Biomechanics: Circulation. Springer, Berlin, Heidelberg, New York, 1997.

    Google Scholar 

  • L. Glass, P. J. Hunter, A. D. McCulloch, eds. Theory of Heart: Biomechanics, Biophysics and Nonlinear Dynamics of Cardiac Function. Springer, Berlin, Heidelberg, New York, 1991.

    Google Scholar 

  • J. Gray. Animal Locomotion. Weidenfeld & Nicolson, London, 1968.

    Google Scholar 

  • M. Handke, D. M. Schäfer, G. Müller, A. Schöchlin, E. Magosaki, A. Geibel. Dynamic Changes of Atrial Septal Defect Area: New Insights by Three-Dimensional Volume-Rendered Echocardiography with High Temporal Resolution. Eur. J. Echocardiography, 2, 46–51, 2001.

    Google Scholar 

  • K. Hayashi, Y. Yanai, T. Naiki. A 3D-LDA Study of the Relation between Wall Shear Stress and Intimal Thickness in a Human Aortic Bifurcation. J. of Biomechanical Engineering, 118, 273–279, 1996.

    Google Scholar 

  • P. J. Hunter, B. H. Smaill, P. M. F. Nielsen, J. J. le Grice. A Mathematical Model of Cardiac Anatomy. Computational Biology of the Heart. John Wiley & Sons, Chichester, 1997.

    Google Scholar 

  • J. P. Keener, A. V. Panfilov. The Effects of Geometry and Fibre Orientation on Propagation and Extracular Potentials in Myocardium. A. V. Panfilov, A. V. Holden, eds., Computational Biology of the Heart. John Wiley & Sons, Chichester, 1997.

    Google Scholar 

  • U. Kertzscher, K. Affeld. Messung der Wandschubspannung in Modellen von Blutgef äßen. Biomedizinische Technik, 45, 75–126, 2000.

    Google Scholar 

  • D. N. Ku. Blood Flow in Arteries. Ann. Rev. Fluid Mech., 29, 399–434, 1997.

    Article  MathSciNet  Google Scholar 

  • D. Liepsch. Flow in Tubes and Arteries: A Comparison. Biorheology, 23, 395–433, 1986.

    Google Scholar 

  • D. Liepsch, ed. Biofluid Mechanics, Proceedings of the 3rd International Symposium, 17 of Fortschritt-Berichte/VDI. VDI Verlag, Düsseldorf, 1994.

    Google Scholar 

  • D. Liepsch. The Dynamics of Pulsatile Flow in Distensible Model Arteries. Technology and Health Care, 3, 185–199, 1995.

    Google Scholar 

  • D. Liepsch, G. Thurston, M. Lee. Studies of Fluids Simulating Blood-like Rheological Properties and Applications in Models of Arterial Branches. Biorheology, 39–52, 1991.

    Google Scholar 

  • D. Liepsch, S. Moravec. Pulsatile Flow of Non-Newtonian Fluid in Distensible Models of Human Arteries. Biorheology, 571–586, 1984.

    Google Scholar 

  • M. J. Lighthill. Mathematical Biofluidmechanics. Society for Industrial and Applied Mathematics, Philadelphia, 1975.

    Google Scholar 

  • J. Malmivuo, R. Plonsey. Bioelectromagnetism. Oxford University Press, New York, 1995.

    Google Scholar 

  • J. N. Mazumdar. Biofluid Mechanics. World Scientific, Singapore, London, 1992.

    Google Scholar 

  • D. A. McDonald. Blood Flow in Arteries. Edward Arnold, London, 1960.

    Google Scholar 

  • Motomiya. Flow Patterns in the Human Carotid Artery Bifurcation. Stroke: A Journal of Cerebral Circulation, 15, 50–56, 1984.

    Google Scholar 

  • W. Nachtigall. Technische Biologie von Umströmungsvorgängen und Aspekte ihrer bionischen Übertragbarkeit. Abhandlungen der Mathematisch-Naturwissenschaftlichen Klasse / Akademie der Wissenschaften und der Literatur. Steiner, Stuttgart, 2001.

    Google Scholar 

  • M P. Nash, P. J. Hunter. Computational Mechanics of the Heart. J. of Elasticity, 2001.

    Google Scholar 

  • A. V. Panfilov, A. V. Holden. Computational Biology of the Heart. John Wiley & Sons, Chichester, 1997.

    Google Scholar 

  • D. J. Patel, R. N. Vaishnav. Basic Hemodynamics and Its Role in Disease Processes. University Park Press, Baltimore, 1980.

    Google Scholar 

  • T. J. Pedley. The Fluid Mechanics of Large Blood Vessels. Cambridge University Press, Cambridge, 1980.

    Google Scholar 

  • K. Perktold, G. Rappitsch. Mathematical Modelling of Arterial Blood Flow and Correlation to Arteriosclerosis. Technology and Health Care, 3, 139–151, 1995.

    Google Scholar 

  • K. Perktold, M. Resch, H. Florian. Pulsatile Non-Newtonian Flow Characteristics in a Three-Dimensional Human Catroid Bifurcation Model. J. of Biomechanical Engineering, 113, 464–475, 1991.

    Google Scholar 

  • C. S. Peskin, D. M. McQueen. Mechanical Equilibrium Determines the Fractal Fiber Architecture of Aortic Heart Valve Leaflets. American Journal of Physiology, 363–6135, 1994.

    Google Scholar 

  • C. S. Peskin, D. M. McQueen. Fluid Dynamics of the Heart and Its Valves. Mathematical Modelling, Ecology, Physiology and Cell Biology. Prentice Hall, New Jersey, 1997.

    Google Scholar 

  • A. Poll, D. Liepsch, C. Weigand, J. McLean. Two and Three-Dimensional LDA Measurements and Shear Stress Calculations for a True Scale Elastic Model of a Dog Aorta with Stenosis. Automedica, 18, 163–210, 2000.

    Google Scholar 

  • L. Schauf, D. F. Moffet, S. B. Moffet. Medizinische Physiologie. Walter de Gruyter, Berlin, New York, 1993.

    Google Scholar 

  • E. Schubert, ed. Medizinische Physiologie. Walter de Gruyter, Berlin, New York, 1993.

    Google Scholar 

  • R. Skalak, N. Özkaya. Biofluid Mechanics. Ann. Rev. Fluid Mech., 21, 167–204, 1989.

    Article  Google Scholar 

  • M. Sugawara, F. Kajiya, A. Kitabatake, H. Matino. Blood Flow in the Heart and Large Vessels. Springer, Tokyo, Berlin, Heidelberg, 1989.

    Google Scholar 

  • F. Torrent-Guasp, et al.. Seminars in Thoracic and Cardiovascular Surgery, 13,4, 301–319, 2001.

    Google Scholar 

  • C. D. Werner, F. B. Sachse, C. Baltes, O. Dössel. The Visible Man Dataset in Medical Education: Electrophysiologie of the Human Heart. Proc. Third Users Conference of the National Library of Medcine’s Visible Human Project, 1–81, 2000.

    Google Scholar 

  • G. E. W. Wolstenholme. Circulatory and Respiratory Mass Transport. Churchill, London, 1969.

    Google Scholar 

  • M. Zacek, E. Krause. Numerical Simulation of the Blood Flow in the Human Cardiovascular System. J. of Biomechanics, 29, 13–20, 1996.

    Google Scholar 

Download references

Editor information

Editors and Affiliations

  1. Institut für Strömungslehre, Universität Karlsruhe, Kaiserstr. 12, Karlsruhe, D-76131, Germany

    Herbert Oertel

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag New York, Inc.

About this chapter

Cite this chapter

(2004). Biofluid Mechanics of Blood Circulation. In: Oertel, H. (eds) Prandtl’s Essentials of Fluid Mechanics. Applied Mathematical Sciences, vol 158. Springer, New York, NY. https://doi.org/10.1007/0-387-21803-3_13

Download citation

  • DOI: https://doi.org/10.1007/0-387-21803-3_13

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-40437-0

  • Online ISBN: 978-0-387-21803-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation