Supernormal excitability as a mechanism of chaotic dynamics of activation in cardiac Purkinje fibers.
- 1 February 1990
- journal article
- research article
- Published by Wolters Kluwer Health in Circulation Research
- Vol. 66 (2), 525-545
- https://doi.org/10.1161/01.res.66.2.525
Abstract
Supernormality, which can be defined as greater than normal excitability during or immediately after action potential repolarization, has been observed in a variety of cardiac preparations. However, as yet, no description of the dynamics of tissue response to repetitive stimulation in the presence of supernormal or relatively supernormal excitability has appeared. Isolated sheep cardiac Purkinje fibers (2-5 mm in length) were superfused with Tyrode's solution and stimulated with depolarizing current pulses through a suction pipette. Recovery of excitability, restitution of the action potential duration, and response patterns were measured in each fiber for a wide range of current amplitudes and stimulation frequencies. When the potassium chloride concentration of the Tyrode's solution was decreased from 7 to 4 mM, the excitability recovery function consistently changed from monophasic ("normal") to triphasic ("supernormal'). During repetitive stimulation at increasing rates, normal preparations responded only with gradual changes in the activation ratio, expressed as periodic phase-locked responses (i.e., Wenckebach-like patterns, etc.). Supernormal preparations showed a nonmonotonic change in the activation ratio, as well as complex aperiodic response patterns. Numerical results from an analytical model gave a quantitative basis for the relation between nonmonotonicity in the excitability function and the development of complex rhythms in cardiac Purkinje fibers. Both our experimental and theoretical results indicate that the presence of supernormality and the slope of the action potential duration restitution curve at short diastolic intervals are responsible for the development of chaotic dynamics. Moreover, our results give an accurate description of the supernormality phenomenon, predict the behavior expected under such conditions, and provide insight about the role of membrane recovery in determining regular and irregular frequency-dependent rhythm and conduction disturbances.This publication has 18 references indexed in Scilit:
- Non-linear dynamics of cardiac excitation and impulse propagationNature, 1987
- The Devil's StaircasePhysics Today, 1986
- Electrophysiological basis for arrhythmias caused by acute ischemiaRole of the subendocardiumJournal of Molecular and Cellular Cardiology, 1986
- Period Doubling and Chaotic Behavior in a Driven Anharmonic OscillatorPhysical Review Letters, 1981
- On cardiac arrythmias: AV conduction blockJournal of Mathematical Biology, 1981
- A mathematical model for first degree block and the Wenckebach phenomenonBulletin of Mathematical Biology, 1971
- Action potential duration in canine Purkinje tissue: Effects of preceding excitationJournal of Electrocardiology, 1971
- Mechanism of the Wenckebach-Luciani CyclesAmerican Journal of Physiology-Legacy Content, 1958
- On dynamic equilibrium in the heartThe Journal of Physiology, 1913