Center for Theoretical Biological Physics, University of California San Diego, La Jolla, California 92093-0319, USA.
Phys Rev Lett. 2010 Apr 16;104(15):158301. doi: 10.1103/PhysRevLett.104.158301. Epub 2010 Apr 14.
Noise can induce excitable systems to make time-limited transitions between quiescent and active states. Here we investigate the possibility that these transitions occur locally in a spatially extended medium, leading to the occurrence of spatiotemporal patches of activation. We show that this can in fact occur in a parameter range such that there exist (in general unstable) localized solutions of the governing deterministic reaction-diffusion equations. Our work is motivated by a recent biological example showing transiently excited cell membrane regions.
噪声可以诱导兴奋系统在静止和活跃状态之间进行限时转换。在这里，我们研究了这些转换是否可能在空间扩展介质中局部发生，从而导致激活的时空斑块的发生。我们表明，在实际上可以发生的参数范围内，存在支配确定性反应扩散方程的局部化解（通常是不稳定的）。我们的工作受到最近一个生物学例子的启发，该例子显示了瞬时兴奋的细胞膜区域。
