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

The result's identifiers

  • Result code in 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>

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BD - Information theory

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA15-08066S" target="_blank" >GA15-08066S: Efficiency of information transfer and the role of energetic constraints in neuronal systems</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2016

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Biological Cybernetics

  • ISSN

    0340-1200

  • e-ISSN

  • Volume of the periodical

    110

  • Issue of the periodical within the volume

    2-3

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    8

  • Pages from-to

    193-200

  • UT code for WoS article

    000377936000006

  • EID of the result in the Scopus database

    2-s2.0-84973133477