论文标题
关于激发媒体中螺旋波的启动
On the initiation of spiral waves in excitable media
论文作者
论文摘要
令人兴奋的媒体是在没有外部输入的情况下静止的系统，但通过在整个介质上发送一波“激发”，对足够强的刺激做出了反应。例子包括心脏和皮质组织，在这些示例中，已经观察到旋转的螺旋波，并与异常相关。如何启动这样的波浪尚未得到很好的理解。在对可激发介质的标准数学模型的数值研究中，我们通过一种简单的设计方法获得了螺旋和其他振荡模式，该方法先前已被排除在外。我们分析了此过程的早期阶段，并表明长期稳定的振荡行为（包括螺旋波）可以从非常简单的初始条件开始，例如两个小的激发点，而没有随后的输入。因此，在初始条件下没有难治性细胞。对于此模型，即使是刺激的随机斑点也相对频繁地导致周期性旋转模式，这使我们表明这可能在生物组织中发生。
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.
