Theory of Heart

1. Front Matter

   Pages i-xvii

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2. Structure and Function of the Diastolic Heart: Material Properties of Passive Myocardium

   • Bruce Smaill, Peter Hunter

   Pages 1-29

3. Structural Considerations in Formulating Material Laws for the Myocardium

   • Arie Horowitz

   Pages 31-58

4. Toward a Stress Analysis in the Heart

   • Jay Humphrey, Robert Strumpf, Henry Halperin, Frank Yin

   Pages 59-75

5. Identification of the Time-Varying Properties of the Heart

   • Poul Nielsen, Ian Hunter

   Pages 77-86

6. Factors Affecting the Regional Mechanics of the Diastolic Heart

   • Andrew D. McCulloch, Jeffrey H. Omens

   Pages 87-119

7. Finite Element Modeling of Ventricular Mechanics

   • Julius M. Guccione, Andrew D. McCulloch

   Pages 121-144

8. Multidimensional Measurement of Regional Strains in the Intact Heart

   • L. K. Waldman

   Pages 145-174

9. Epicardial Deformation From Coronary Cinéangiograms

   • Alistair Young

   Pages 175-207

10. Functional Consequences of Regional Heterogeneity in the Left Ventricle

    • Wilbur Y. W. Lew

    Pages 209-237

11. Mathematical Modeling of the Electrical Activity of Cardiac Cells

    • Michael R. Guevara

    Pages 239-253

12. Mathematical Models of Pacemaker Tissue in the Heart

    • J. W. Clark, J. M. Shumaker, C. R. Murphey, W. R. Giles

    Pages 255-288

13. Low-Dimensional Dynamics in the Heart

    • Leon Glass, Alvin Shrier

    Pages 289-312

14. Iteration of the Human Atrioventricular (AV) Nodal Recovery Curve Predicts Many Rhythms of AV Block

    • Michael R. Guevara

    Pages 313-358

15. Ionic Basis of the Wenckebach Phenomenon

    • Jose Jalife, Mario Delmar

    Pages 359-376

16. Parasystole and the Pacemaker Problem

    • Jacques Bélair, Marc Courtemanche, Leon Glass

    Pages 377-390

17. Electrical Propagation in Distributed Cardiac Tissue

    • J. Mailen Kootsey

    Pages 391-403

18. Wave Propagation in Myocardium

    • James P. Keener

    Pages 405-436

19. Cellular Automata Models of Cardiac Conduction

    • Bo E. H. Saxberg, Richard J. Cohen

    Pages 437-476

20. Estimating the Ventricular Fibrillation Threshold

    • A. T. Winfree

    Pages 477-531

In recent years there has been a growth in interest in studying the heart from the perspective of the physical sciences: mechanics, fluid flow, electromechanics. This volume is the result of a workshop held in July 1989 at the Institute for Nonlinear Sciences at the University of California at San Diego that brought together scientists and clinicians with graduate students and postdoctoral fellows who shared an interest in the heart. The chapters were prepared by the invited speakers as didactic reviews of their subjects but also include the structure, mechanical properties, and function of the heart and the myocardium, electrical activity of the heart and myocardium, and mathematical models of heart function.

• Approximation
• Gap
• biomechanics
• biophysics
• cardiac function
• dynamics
• electrophysiology
• heart
• mathematical modeling
• mechanics
• nonlinear dynamics
• physiology
• tissue

• Department of Physiology, McGill University, Montreal, Canada

  Leon Glass

• Department of Engineering Science, University of Auckland, Auckland, New Zealand

  Peter Hunter

• Department of Applied Mechanics and Engineering Science—Bioengineering, University of California, San Diego, La Jolla, USA

  Andrew McCulloch

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