记忆映射模型中心脏电交替的控制
Control of cardiac alternans in a mapping model with memory
摘要：
我们研究了一个基于地图的模型，在存在闭环反馈控制的起搏心肌。该模型将动作电位的持续时间与先前的舒张间期以及先前的动作电位持续时间相关联，因此具有一定量的“记忆”。“我们发现，控制域依赖于这种记忆，与地图的特定功能形式无关。记忆依赖的控制域可以包含大的反馈增益，从而为Hall等人[Phys.Rev.Lett，88，198102（2002）]关于控制小块快速起搏心肌中交替的最近实验结果提供了第一个可能的解释。
英文摘要：
We investigate a map-based model of paced cardiac muscle in the presence of closed-loop feedback control. The model relates the duration of an action potential to the preceding diastolic interval as well as the preceding action potential duration and thus has some amount of `memory.' We find that the domain of control depends on this memory, independently of the specific functional form of the map. The memory-dependent domain of control can encompass large feedback gains, thus providing the first possible explanation of the recent experimental results of Hall et al. [Phys. Rev. Lett, 88, 198102 (2002)] on controlling alternans in small pieces of rapidly-paced cardiac muscle.
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