The bulletin of mathematical biophysics

, Volume 31, Issue 2, pp 383–393 | Cite as

Physiological significance of the geometrical shape of the left ventricle: Course and curvature of the individual myocardial fibers

  • Panagiotis C. Voukydis
Article

Abstract

A mathematical description of the course of myocardial fibers in the wall of the left ventricle is developed. By use of this mathematical description, an equation giving the curvature of the individual myocardial fibers is derived, and numerical solutions of this equation are presented.

Keywords

Left Ventricle Geometrical Shape Mathematical Description Helix Angle Myocardial Fiber 

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Literature

  1. Koushanpour, E. and W. D. Collings. 1966. “Validation and Dynamic Applications of an Ellipsoid Model of the Left Ventricle.”J. Appl. Physiol.,21, 1655–1661.Google Scholar
  2. Rushmer, R. F. 1961.Cardiovascular Dynamics. Philadelphia and London: W. B. Saunders Co.Google Scholar
  3. Streeter, D. D. and D. L. Bassett. 1966. “An Engineering Analysis of Myocardial Fiber Orientation in Pig’s Left Ventricle in Systole.”Anat. Rec.,155, 503–512.CrossRefGoogle Scholar
  4. Struik, D. J. 1961.Differential Geometry, 2nd edition. Reading, Mass, and London: Addison-Wesley Publishing Company.MATHGoogle Scholar

Copyright information

© N. Rashevsky 1968

Authors and Affiliations

  • Panagiotis C. Voukydis
    • 1
  1. 1.Department of PhysiologyBoston University Medical CenterBoston

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