Alternation in the duration of consecutive cardiac action potentials (electrical alternans) may precipitate conduction block and the onset of arrhythmias. Consequently, suppression of alternans using properly timed premature stimuli may be antiarrhythmic. To determine the extent to which alternans control can be achieved in cardiac tissue, isolated canine Purkinje fibers were paced from one end using a feedback control method. Spatially uniform control of alternans was possible when alternans amplitude was small. However, control became attenuated spatially as alternans amplitude increased. The amplitude variation along the cable was well described by a theoretically expected standing wave profile that corresponds to the first quantized mode of the one-dimensional Helmholtz equation. These results confirm the wavelike nature of alternans and may have important implications for their control using electrical stimuli.Electrical alternans is a phenomenon characterized by a beat-to-beat alternation in the duration of the cardiac action potential (APD) [1]. Because heart cells are refractory to further stimulation during an action potential, alternans of APD results in an alternans of refractoriness, the magnitude of which may vary across different regions of the heart. Several studies have shown that the resulting spatial dispersion of refractoriness facilitates the development of local conduction block [2][3][4][5], which may in turn cause the normally planar wave of electrical excitation in cardiac tissue to break and form spiral waves [6]. If the spiral waves also encounter regions of disparate refractoriness, they may disintegrate into multiple wavelets, which may account for the onset of the lethal heart rhythm disorder ventricular fibrillation [7][8][9].Given that APD alternans may be mechanistically linked to the onset of reentrant arrhythmias, its elimination might be an effective antiarrhythmic strategy. Initial work in that direction showed that closed-loop feedback methods could be used to suppress a type of alternans (known as atrioventricular-nodal conduction alternans) with period-doubling dynamics that are related to those of APD alternans [10][11][12][13]. More recently, it was shown that a related control method could terminate APD alternans in isolated frog hearts [14,15]. The latter studies showed clearly that perturbations to the electrical stimulus interval could be used to eliminate APD alternans in a system that does not have spatiotemporally varying repolarization and wavepropagation dynamics (the frog sections were small enough that there were no apparent spatial variations in dynamics).
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