Medvedev Georgi S
Department of Mathematics, Drexel University, 3141 Chestnut Street, Philadelphia, Pennsylvania 19104, USA.
Phys Rev Lett. 2006 Jul 28;97(4):048102. doi: 10.1103/PhysRevLett.97.048102. Epub 2006 Jul 27.
We study statistical properties of the irregular bursting arising in a class of neuronal models close to the transition from spiking to bursting. Prior to the transition to bursting, the systems in this class develop chaotic attractors, which generate irregular spiking. The chaotic spiking gives rise to irregular bursting. The duration of bursts near the transition can be very long. We describe the statistics of the number of spikes and the interspike interval distributions within one burst as functions of the distance from criticality.
我们研究了一类接近从发放尖峰到爆发转变的神经元模型中出现的不规则爆发的统计特性。在向爆发转变之前，这类系统会发展出混沌吸引子，产生不规则的发放尖峰。混沌发放尖峰导致不规则爆发。转变附近爆发的持续时间可能非常长。我们将一次爆发内发放尖峰数量的统计以及发放尖峰间隔分布描述为与临界距离的函数关系。
