Stein's neuronal model with pooled renewal input

J 2015

Stein's neuronal model with pooled renewal input

RAJDL, Kamil a Petr LÁNSKÝ

Základní údaje

Originální název

Stein's neuronal model with pooled renewal input

Autoři

RAJDL, Kamil a Petr LÁNSKÝ

Vydání

Biological Cybernetics, NEW YORK, Springer, 2015, 0340-1200

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Impakt faktor

Impact factor: 1.611

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/15:00080902

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

Stein's model; Neural input; Poisson process; Pooled renewal processes; First-passage time

Štítky

AKR, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 12. 4. 2016 13:03, Ing. Andrea Mikešková

Anotace

V originále

The input of Stein's model of a single neuron is usually described by using a Poisson process, which is assumed to represent the behaviour of spikes pooled from a large number of presynaptic spike trains. However, such a description of the input is not always appropriate as the variability cannot be separated from the intensity. Therefore, we create and study Stein's model with a more general input, a sum of equilibrium renewal processes. The mean and variance of the membrane potential are derived for this model. Using these formulas and numerical simulations, the model is analyzed to study the influence of the input variability on the properties of the membrane potential and the output spike trains. The generalized Stein's model is compared with the original Stein's model with Poissonian input using the relative difference of variances of membrane potential at steady state and the integral square error of output interspike intervals. Both of the criteria show large differences between the models for input with high variability.

Návaznosti

GA15-06991S, projekt VaV

Název: Analýza funkcionálních dat a související témata

Investor: Grantová agentura ČR, Analýza funkcionálních dat a související témata

Citovat

RAJDL, Kamil a Petr LÁNSKÝ. Stein's neuronal model with pooled renewal input. Biological Cybernetics. NEW YORK: Springer, 2015, roč. 109, č. 3, s. 389-399. ISSN 0340-1200. Dostupné z: https://doi.org/10.1007/s00422-015-0650-x.

@article{1306291,
   author = {Rajdl, Kamil and Lánský, Petr},
   article_location = {NEW YORK},
   article_number = {3},
   doi = {https://doi.org/10.1007/s00422-015-0650-x},
   keywords = {Stein's model; Neural input; Poisson process; Pooled renewal processes; First-passage time},
   language = {eng},
   issn = {0340-1200},
   journal = {Biological Cybernetics},
   title = {Stein's neuronal model with pooled renewal input},
   volume = {109},
   year = {2015}
}

TY  - JOUR
ID  - 1306291
AU  - Rajdl, Kamil - Lánský, Petr
PY  - 2015
TI  - Stein's neuronal model with pooled renewal input
JF  - Biological Cybernetics
VL  - 109
IS  - 3
SP  - 389-399
EP  - 389-399
PB  - Springer
SN  - 03401200
KW  - Stein's model
KW  - Neural input
KW  - Poisson process
KW  - Pooled renewal processes
KW  - First-passage time
N2  - The input of Stein's model of a single neuron is usually described by using a Poisson process, which is assumed to represent the behaviour of spikes pooled from a large number of presynaptic spike trains. However, such a description of the input is not always appropriate as the variability cannot be separated from the intensity. Therefore, we create and study Stein's model with a more general input, a sum of equilibrium renewal processes. The mean and variance of the membrane potential are derived for this model. Using these formulas and numerical simulations, the model is analyzed to study the influence of the input variability on the properties of the membrane potential and the output spike trains. The generalized Stein's model is compared with the original Stein's model with Poissonian input using the relative difference of variances of membrane potential at steady state and the integral square error of output interspike intervals. Both of the criteria show large differences between the models for input with high variability.
ER  -

RAJDL, Kamil a Petr LÁNSKÝ. Stein's neuronal model with pooled renewal input. \textit{Biological Cybernetics}. NEW YORK: Springer, 2015, roč.~109, č.~3, s.~389-399. ISSN~0340-1200. Dostupné z: https://doi.org/10.1007/s00422-015-0650-x.

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