心脏组织中空间不一致交替链的单向钉扎和滞后
Unidirectional Pinning and Hysteresis of Spatially Discordant Alternans in Cardiac Tissue
摘要：
空间不一致交替是心脏组织中广泛观察到的电压和钙信号模式，其可诱发致命性心律失常。使用空间耦合的迭代映射的节拍到节拍的动态，我们探讨这种模式的动态在单细胞水平的钙为主的倍周期不稳定的制度。我们发现了一种新的非线性分岔与形成的不连续跳跃的钙交替的振幅在节线分离不和谐的地区。我们发现，这种跳跃单向钉结线，防止他们的运动远离起搏部位后，起搏率降低，但允许运动向这个网站后，率增加。这种单向钉扎导致强烈的历史依赖的节线运动，是强烈的致热。
英文摘要：
Spatially discordant alternans is a widely observed pattern of voltage and calcium signals in cardiac tissue that can precipitate lethal cardiac arrhythmia. Using spatially coupled iterative maps of the beat-to-beat dynamics, we explore this pattern's dynamics in the regime of a calcium-dominated period-doubling instability at the single cell level. We find a novel nonlinear bifurcation associated with the formation of a discontinuous jump in the amplitude of calcium alternans at nodal lines separating discordant regions. We show that this jump unidirectionally pins nodal lines by preventing their motion away from the pacing site following a pacing rate decrease, but permitting motion towards this site following a rate increase. This unidirectional pinning leads to strongly history-dependent nodal line motion that is strongly arrhythmogenic.
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