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Action potential duration (APD) restitution, which relates APD to thepreceding diastolic interval (DI), is a useful tool for predicting the onset ofabnormal cardiac rhythms. However, it is known that different pacing protocolslead to different APD restitution curves (RCs). This phenomenon, known as APDrate-dependence, is a consequence of memory in the tissue. In addition to APDrestitution, conduction velocity restitution also plays an important role inthe spatiotemporal dynamics of cardiac tissue. We present new resultsconcerning rate-dependent restitution in the velocity of propagating actionpotentials in a one-dimensional fiber. Our numerical simulations show that,independent of the amount of memory in the tissue, waveback velocity exhibitspronounced rate-dependence and the wavefront velocity does not. Moreover, thediscrepancy between waveback velocity RCs is most significant for small DI. Weprovide an analytical explanation of these results, using a system of coupledmaps to relate the wavefront and waveback velocities. Our calculations showthat waveback velocity rate-dependence is due to APD restitution, not memory.Comment: 17 pages, 7 figure

Rate-dependent propagation of cardiac action potentials in a one-dimensional fiber