de Vries G
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Nov;64(5 Pt 1):051914. doi: 10.1103/PhysRevE.64.051914. Epub 2001 Oct 25.
A two-dimensional map exhibiting chaotic bursting behavior similar to the bursting electrical activity observed in biological neurons and endocrine cells is examined. Model parameters are changed so that the bursting behavior is destroyed. We show that bursting can be recovered in a population of such nonbursting cells when they are coupled via the mean field. The phenomenon is explained with a geometric bifurcation analysis. The analysis reveals that emergent bursting in the network is due to coupling alone and is very robust to changes in the coupling strength, and that heterogeneity in the model parameters does not play a role.
研究了一种二维映射,其呈现出类似于在生物神经元和内分泌细胞中观察到的爆发性电活动的混沌爆发行为。改变模型参数,使得爆发行为被破坏。我们表明,当这些非爆发性细胞通过平均场耦合时,在这样的细胞群体中可以恢复爆发行为。用几何分岔分析来解释这一现象。分析表明,网络中出现的爆发仅仅是由于耦合,并且对耦合强度的变化非常鲁棒,而且模型参数的异质性不起作用。