可激发介质简单元胞自动机模型中特征时间随机化对螺旋波产生的影响
Effects of randomization of characteristic times on spiral wave generation in a simple cellular automaton model of excitable media
摘要：
螺旋波是可以在可激发介质中形成的自重复波，以螺旋图案从其中心向外传播。螺旋波在不同的自然现象中被观察到，并与癫痫和房颤等疾病有关。我们使用一个简单的元胞自动机模型来研究可激发介质中的传播，特别关注理解螺旋波行为。该元胞自动机模型的主要成分是激发条件和特征激发和不应期。文献表明，固定的激励和不应期与特定的初始条件一起产生平稳和稳定的螺旋波。在目前的工作中，我们允许的激活和不应期波动范围内的值均匀。在这些条件下，形成的螺旋波可能漂移，波前可能破裂，在某些极端情况下，它可能导致螺旋图案的完全破裂。
英文摘要：
Spiral waves are self-repeating waves that can form in excitable media, propagating outward from their center in a spiral pattern. Spiral waves have been observed in different natural phenomena and have been linked to medical conditions such as epilepsy and atrial fibrillation. We used a simple cellular automaton model to study propagation in excitable media, with a particular focus in understanding spiral wave behavior. The main ingredients of this cellular automaton model are an excitation condition and characteristic excitation and refractory periods. The literature shows that fixed excitation and refractory periods together with specific initial conditions generate stationary and stable spiral waves. In the present work we allowed the activation and refractory periods to fluctuate uniformly over a range of values. Under these conditions formed spiral waves might drift, the wave front might break, and in some extreme cases it might lead to a complete breakdown of the spiral pattern.
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