Effects of network topology, transmission delays, and refractoriness on the response of coupled excitable systems to a stochastic stimulus
Effects of network topology, transmission delays, and refractoriness on the response of coupled excitable systems to a stochastic stimulus
复制标题
DOI：
10.1063/1.3600760
复制
发表时间：
2011-06-01
期刊：
影响因子：
2.9
通讯作者：
Restrepo, Juan G.
中科院分区：
文献类型：
--
作者：
Larremore, Daniel B.;Shew, Woodrow L.;Restrepo, Juan G.
我们研究网络拓扑结构对耦合离散可激发系统网络对外部随机刺激响应的影响。我们扩展了近期的一些结果，这些结果通过允许传输延迟和不应期状态数量的分布，并通过对稳态网络响应建立一种非微扰近似，依据邻接矩阵的频谱特性来描述响应。我们通过数值模拟证实了我们的理论结果。我们发现稳态响应幅度与不应期持续时间成反比，这降低了可达到的最大动态范围。我们还发现传输延迟改变了达到稳态所需的时间。重要的是，延迟和不应期都不会影响当邻接矩阵的最大特征值为1时出现临界性和最大动态范围这一普遍预测。（C）2011美国物理学会。[doi: 10.1063/1.3600760]
We study the effects of network topology on the response of networks of coupled discrete excitable systems to an external stochastic stimulus. We extend recent results that characterize the response in terms of spectral properties of the adjacency matrix by allowing distributions in the transmission delays and in the number of refractory states and by developing a nonperturbative approximation to the steady state network response. We confirm our theoretical results with numerical simulations. We find that the steady state response amplitude is inversely proportional to the duration of refractoriness, which reduces the maximum attainable dynamic range. We also find that transmission delays alter the time required to reach steady state. Importantly, neither delays nor refractoriness impact the general prediction that criticality and maximum dynamic range occur when the largest eigenvalue of the adjacency matrix is unity. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3600760]