Lumping Izhikevich neurons

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    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
    Issue number1
    Publication statusPublished - 12 May 2014


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


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