The Gamma renewal process as an output of the diffusion leaky integrate-and-fire neuronal model

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985823%3A_____%2F16%3A00461569" target="_blank" >RIV/67985823:_____/16:00461569 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s00422-016-0690-x" target="_blank" >http://dx.doi.org/10.1007/s00422-016-0690-x</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00422-016-0690-x" target="_blank" >10.1007/s00422-016-0690-x</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The Gamma renewal process as an output of the diffusion leaky integrate-and-fire neuronal model

Popis výsledku v původním jazyce

Statistical properties of spike trains as well as other neurophysiological data suggest a number of mathematical models of neurons. These models range from entirely descriptive ones to those deduced from the properties of the real neurons. One of them, the diffusion leaky integrate-and-fire neuronal model, which is based on the Ornstein-Uhlenbeck (OU) stochastic process that is restricted by an absorbing barrier, can describe a wide range of neuronal activity in terms of its parameters. These parameters are readily associated with known physiological mechanisms. The other model is descriptive, Gamma renewal process, and its parameters only reflect the observed experimental data or assumed theoretical properties. Both of these commonly used models are related here. We show under which conditions the Gamma model is an output from the diffusion OU model. In some cases, we can see that the Gamma distribution is unrealistic to be achieved for the employed parameters of the OU process.

Název v anglickém jazyce

The Gamma renewal process as an output of the diffusion leaky integrate-and-fire neuronal model

Popis výsledku anglicky

Statistical properties of spike trains as well as other neurophysiological data suggest a number of mathematical models of neurons. These models range from entirely descriptive ones to those deduced from the properties of the real neurons. One of them, the diffusion leaky integrate-and-fire neuronal model, which is based on the Ornstein-Uhlenbeck (OU) stochastic process that is restricted by an absorbing barrier, can describe a wide range of neuronal activity in terms of its parameters. These parameters are readily associated with known physiological mechanisms. The other model is descriptive, Gamma renewal process, and its parameters only reflect the observed experimental data or assumed theoretical properties. Both of these commonly used models are related here. We show under which conditions the Gamma model is an output from the diffusion OU model. In some cases, we can see that the Gamma distribution is unrealistic to be achieved for the employed parameters of the OU process.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BD - Teorie informace

OECD FORD obor

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Projekt

<a href="/cs/project/GA15-08066S" target="_blank" >GA15-08066S: Efektivita informačního přenosu a role energetických omezení v neuronálních systémech</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Biological Cybernetics

ISSN

0340-1200

e-ISSN

—

Svazek periodika

110

Číslo periodika v rámci svazku

2-3

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

8

Strana od-do

193-200

Kód UT WoS článku

000377936000006

EID výsledku v databázi Scopus

2-s2.0-84973133477