激发介质中螺旋波的激发
On the initiation of spiral waves in excitable media
摘要：
可激发介质是在没有外部输入的情况下处于静止状态的系统，但是通过在介质上发送“激发”波来响应足够强的刺激。例子包括心脏和皮质组织，并且在这些例子中的每一个中已经观察到旋转螺旋波并且与异常相关联。这种波是如何产生的还不清楚。在这个数值研究的标准数学模型的可激发介质中，我们获得螺旋和其他振荡模式的方法，简单的设计，这是以前被排除在外。我们分析了这个过程的早期阶段，并表明，长期稳定的振荡行为，包括螺旋波，可以开始与非常简单的初始条件，如两个小点的激励，并没有随后的输入。因此，在初始条件下不存在不应细胞。对于这个模型，即使是随机的刺激点也会相对频繁地导致周期性的旋转模式，这使我们认为这可能发生在活组织中。
英文摘要：
Excitable media are systems which are at rest in the absence of external input but which respond to a sufficiently strong stimulus by sending a wave of "excitation" across the medium. Examples include cardiac and cortical tissue, and in each of these examples rotating spiral waves have been observed and associated with abnormalities. How such waves are initiated is not well understood. In this numerical study of a standard mathematical model of excitable media, we obtain spirals and other oscillatory patterns by a method, simple in design, which had previously been ruled out. We analyze the early stages of this process and show that long term stable oscillatory behavior, including spiral waves, can start with very simple initial conditions, such as two small spots of excitation, and no subsequent input. Thus, there are no refractory cells in the initial condition. For this model, even random spots of stimulation result in periodic rotating patterns relatively often, leading us to suggest that this could happen in living tissue.
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