Watanabe, Mari A., and Marcus L. Koller. Mathematical analysis of dynamics of cardiac memory and accommodation: theory and experiment. Am J Physiol Heart Circ Physiol 282: H1534-H1547, 2002. First published November 29, 2001 10.1152/ajpheart.00351.2001.-Decreasing the slope of the dynamic, but not conventional, restitution curves is antifibrillatory. Cardiac memory/accommodation underlies the difference. We measured diastolic interval (DI) and action potential duration (APD) in epicardial, endocardial, and Purkinje tissue from eight dogs. Consecutive 100-stimulus trains were given to study transitions between basic cycle lengths (BCL) ranging from 400 to 1,300 ms. (DI,APD) pairs aligned immediately on the line DI ϩ APD ϭ BCL (64/67) or oscillated (3/67). The shifting effect of up to 10 extrastimuli on restitution curves was also measured. These curves were fit with the equation APD ϭ ␣ ϩ  exp(ϪDI/), where ␣ is asymptote,  is drop, and is time constant. Linear regression of the parameters against the number of extrastimuli showed that premature and postmature stimuli decreased and increased ␣ and  and increased and decreased , respectively. Analysis of a mathematical model treating memory as an exponentially decreasing shift of restitution curves shows that oscillatory DI,APD is expected with large ⌬BCL, steep restitution slope, or increased cardiac accommodation. The model explains phase shifts and suggests a common mechanism for Purkinje and myocardial electrical alternans. arrhythmias; dynamic restitution; short-term memory; modeling SUDDEN CARDIAC DEATH claims over 300,000 lives in the United States each year (53) despite the invention of the implantable cardiac defibrillator and improvement in antiarrhythmic drugs. A better understanding of the mechanisms of ventricular tachyarrhythmias is still needed for prediction and treatment of sudden cardiac death. Modeling studies predict that a steeply (Ͼ1) sloped action potential duration (APD) restitution curve should produce breakup of spiral waves into ventricular fibrillation, whereas a shallow slope should prevent ventricular fibrillation (23,36,37). Studies from patients with coronary artery disease (9, 52), and some animal studies (25,51) show that the maximum slope of the restitution curve can be much less than 1.If that were always true, ventricular fibrillation would never occur. A recent experiment designed to study this paradox demonstrated that the slope of the "dynamic" restitution curve, which is the relationship between APD and preceding diastolic interval (DI) measured during rapid pacing or during ventricular fibrillation, has a slope greater than that measured by the standard S1S2 protocol (25). The slope of the dynamic restitution curve has also been found to correlate with tachycardia stability. For example, verapamil, which was observed to convert ventricular fibrillation to ventricular tachycardia experimentally (49, 44), decreases the slope of the dynamic restitution curve, whereas procainamide, which decreases the slope of the standard ...