Stochastic modeling for neural spiking events based on fractional superstatistical Poisson process

Autor: Hidetoshi Konno, Yoshiyasu Tamura
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: AIP Advances, Vol 8, Iss 1, Pp 015118-015118-16 (2018)
Druh dokumentu: article
ISSN: 2158-3226
DOI: 10.1063/1.5012547
Popis: In neural spike counting experiments, it is known that there are two main features: (i) the counting number has a fractional power-law growth with time and (ii) the waiting time (i.e., the inter-spike-interval) distribution has a heavy tail. The method of superstatistical Poisson processes (SSPPs) is examined whether these main features are properly modeled. Although various mixed/compound Poisson processes are generated with selecting a suitable distribution of the birth-rate of spiking neurons, only the second feature (ii) can be modeled by the method of SSPPs. Namely, the first one (i) associated with the effect of long-memory cannot be modeled properly. Then, it is shown that the two main features can be modeled successfully by a class of fractional SSPP (FSSPP).
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