Lumping Izhikevich neurons

S. Visser, Stephanus A. van Gils

    Research output: Contribution to journal › Article › Academic › peer-review

    5 Citations (Scopus)
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    Abstract

    We present the construction of a planar vector field that yields the firing rate of a bursting Izhikevich neuron can be read out, while leaving the sub-threshold behaviour intact. This planar vector field is used to derive lumped formulations of two complex heterogeneous networks of bursting Izhikevich neurons. In both cases, the lumped model is compared with the spiking network. There is excellent agreement in terms of duration and number of action potentials within the bursts, but there is a slight mismatch of the burst frequency. The lumped model accurately accounts for both intrinsic bursting and post inhibitory rebound potentials in the neuron model, features which are absent in prevalent neural mass models.
    Original languageEnglish
    Article number6
    Number of pages17
    JournalEPJ nonlinear biomedical physics
    Volume2
    Issue number1
    DOIs
    Publication statusPublished - 12 May 2014

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    lumping
    neurons
    bursts
    spiking
    formulations
    thresholds

    Keywords

    • EWI-24865
    • Neural mass
    • Izhikevich neuron
    • Bursting
    • METIS-305921
    • IR-91653
    • Subthreshold behavior

    Cite this

    Visser, S. ; van Gils, Stephanus A. / Lumping Izhikevich neurons. In: EPJ nonlinear biomedical physics. 2014 ; Vol. 2, No. 1.
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    Visser, S & van Gils, SA 2014, 'Lumping Izhikevich neurons', EPJ nonlinear biomedical physics, vol. 2, no. 1, 6. https://doi.org/10.1140/epjnbp19

    Lumping Izhikevich neurons. / Visser, S.; van Gils, Stephanus A.

    In: EPJ nonlinear biomedical physics, Vol. 2, No. 1, 6, 12.05.2014.

    Research output: Contribution to journal › Article › Academic › peer-review

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    AU - van Gils, Stephanus A.

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    Y1 - 2014/5/12

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    AB - We present the construction of a planar vector field that yields the firing rate of a bursting Izhikevich neuron can be read out, while leaving the sub-threshold behaviour intact. This planar vector field is used to derive lumped formulations of two complex heterogeneous networks of bursting Izhikevich neurons. In both cases, the lumped model is compared with the spiking network. There is excellent agreement in terms of duration and number of action potentials within the bursts, but there is a slight mismatch of the burst frequency. The lumped model accurately accounts for both intrinsic bursting and post inhibitory rebound potentials in the neuron model, features which are absent in prevalent neural mass models.

    KW - EWI-24865

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    KW - Bursting

    KW - METIS-305921

    KW - IR-91653

    KW - Subthreshold behavior

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    Visser S, van Gils SA. Lumping Izhikevich neurons. EPJ nonlinear biomedical physics. 2014 May 12;2(1). 6. https://doi.org/10.1140/epjnbp19

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