A Semi-Markov Leaky Integrate-and-Fire Model

被引：10

作者：

Ascione, Giacomo ^{[1
]}

Toaldo, Bruno ^{[2
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz Renato Caccioppol, I-80126 Naples, Italy

[2] Univ Torino, Dipartimento Matemat Giuseppe Peano, I-10123 Turin, Italy

来源：

MATHEMATICS | 2019年 / 7卷 / 11期

关键词：

Semi-Markov processes; LIF models; fractional equations; REPRODUCE SPIKING STATISTICS; ORNSTEIN-UHLENBECK PROCESS; NEURON MODEL; PROBABILITY;

D O I：

10.3390/math7111022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a Leaky Integrate-and-Fire (LIF) model for the membrane potential of a neuron is considered, in case the potential process is a semi-Markov process. Semi-Markov property is obtained here by means of the time-change of a Gauss-Markov process. This model has some merits, including heavy-tailed distribution of the waiting times between spikes. This and other properties of the process, such as the mean, variance and autocovariance, are discussed.

引用

页数：24

共 50 条

[1] Periodically forced leaky integrate-and-fire model
Pakdaman, K
[J]. PHYSICAL REVIEW E, 2001, 63 (04):
[2] On a Stochastic Leaky Integrate-and-Fire Neuronal Model
Buonocore, A.
Caputo, L.
Pirozzi, E.
Ricciardi, L. M.
[J]. NEURAL COMPUTATION, 2010, 22 (10) : 2558 - 2585
[3] Controlling the Chimera Form in the Leaky Integrate-and-Fire Model
Provata, A.
Antonopoulos, Ch G.
Vlamos, P.
[J]. GENEDIS 2020: COMPUTATIONAL BIOLOGY AND BIOINFORMATICS, 2021, 1338 : 247 - 258
[4] The parameters of the stochastic leaky integrate-and-fire neuronal model
Lansky, Petr
Sanda, Pavel
He, Jufang
[J]. JOURNAL OF COMPUTATIONAL NEUROSCIENCE, 2006, 21 (02) : 211 - 223
[5] The parameters of the stochastic leaky integrate-and-fire neuronal model
Petr Lansky
Pavel Sanda
Jufang He
[J]. Journal of Computational Neuroscience, 2006, 21 : 211 - 223
[6] Leaky Integrate-and-Fire Biristor Neuron
Han, Jin-Woo
Meyyappan, M.
[J]. IEEE ELECTRON DEVICE LETTERS, 2018, 39 (09) : 1457 - 1460
[7] A LEAKY INTEGRATE-AND-FIRE MODEL WITH ADAPTATION FOR THE GENERATION OF A SPIKE TRAIN
Buonocore, Aniello
Caputo, Luigia
Pirozzi, Enrica
Carfora, Maria Francesca
[J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2016, 13 (03) : 483 - 493
[8] On a Generalized Leaky Integrate-and-Fire Model for Single Neuron Activity
Buonocore, Aniello
Caputo, Luigia
Pirozzi, Enrica
Ricciardi, Luigi M.
[J]. COMPUTER AIDED SYSTEMS THEORY - EUROCAST 2009, 2009, 5717 : 152 - +
[9] Multi-chimera states in the Leaky Integrate-and-Fire model
Tsigkri-DeSmedt, N. D.
Hizanidis, J.
Hoevel, P.
Provata, A.
[J]. 4TH INTERNATIONAL YOUNG SCIENTIST CONFERENCE ON COMPUTATIONAL SCIENCE, 2015, 66 : 13 - 22
[10] Analysis of the Leaky Integrate-and-Fire neuron model for GPU implementation
Venetis, Ioannis E.
Provata, Astero
[J]. JOURNAL OF PARALLEL AND DISTRIBUTED COMPUTING, 2022, 163 : 1 - 19

← 1 2 3 4 5 →