A theoretical connection between the Noisy Leaky integrate-and-fire and the escape rate models: The non-autonomous case

被引:7
作者
Dumont, Gregory [1 ]
Henry, Jacques [2 ]
Tarniceriu, Carmen Oana [3 ,4 ]
机构
[1] Ecole Normale Super, Grp Neural Theory, 45 Rue Ulm, F-75005 Paris, France
[2] INRIA Bordeaux Sud Ouest, INRIA Team Carmen, 200 Ave Vieille Tour, F-33405 Talence, France
[3] Gheorghe Asachi Univ Iasi, Dept Math & Informat, Blvd Carol I 11, Iasi 700506, Romania
[4] Alexandru Joan Cuza Univ Iasi, Field Sci, Interdisciplinary Res Dept, Lascar Catargi 54, Iasi, Romania
关键词
Neural noise; noisy leaky integrate-and-fire model; escape rate model; NEURON MODEL; NETWORK; OSCILLATIONS; INPUT;
D O I
10.1051/mmnp/2020017
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Finding a mathematical model that incorporates various stochastic aspects of neural dynamics has proven to be a continuous challenge. Among the different approaches, the noisy leaky integrate-and-fire and the escape rate models are probably the most popular. These two models are generally thought to express different noise action over the neural cell. In this paper we investigate the link between the two formalisms in the case of a neuron subject to a time dependent input. To this aim, we introduce a new general stochastic framework. As we shall prove, our general framework entails the two already existing ones. Our results have theoretical implications since they offer a general view upon the two stochastic processes mostly used in neuroscience, upon the way they can be linked, and explain their observed statistical similarity.
引用
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页数:20
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