论文标题
特征时间随机化对可激发介质的简单蜂窝自动机模型中螺旋波产生的影响
Effects of randomization of characteristic times on spiral wave generation in a simple cellular automaton model of excitable media
论文作者
论文摘要
螺旋波是自我重复的波浪，可以在可激发的媒体中形成，以螺旋形的模式从其中心向外传播。在不同的自然现象中观察到螺旋波，并与癫痫和心房颤动等医疗状况有关。我们使用简单的细胞自动机模型来研究可激发介质的传播，特别着重于理解螺旋波行为。该细胞自动机模型的主要成分是激发条件和特征激发和难治期。文献表明，固定的激发和难治期以及特定的初始条件会产生固定和稳定的螺旋波。在目前的工作中，我们允许激活和难治期在一系列值范围内均匀波动。在这些条件下，形成螺旋波的可能会漂移，波浪前可能会破裂，在某些极端情况下，它可能会导致螺旋模式的完全崩溃。
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.
