Suppression of Multimodality in Inter-Spike Interval Distribution: Role of External Damped Oscillatory Input | Shiv Nadar University
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Suppression of Multimodality in Inter-Spike Interval Distribution: Role of External Damped Oscillatory Input

Research
10 Oct 2018

Sudheer Kumar Sharma, Sanjeev Kumar and Karmeshu, "Suppression of Multimodality in Inter-Spike Interval Distribution: Role of External Damped Oscillatory Input", IEEE Transaction on Nanobioscience, 2018

A theoretical model based on the generalized neuronal model with distributed delay (GNMDD) is proposed to generate multimodal/ bimodal inter-spike interval (ISI) distribution. The distributed delay is assumed to be general in the sense that it is a linear combination of gamma distributed weak and strong memory kernels. It is found that the expected membrane potential in the subthreshold regime exhibits damped oscillatory behaviour. This causes the ISI pattern to become bimodal/multimodal. Further, the effect of external damped oscillatory current in the GNMDD model is investigated. Based on extensive simulation study of a set of coupled SDEs in presence of a threshold, a vast amount of spiking data is generated. Using non-parametric modelling approach optimal bin width of the histogram is obtained by using Freedman-Diaconis(FD) rule. It is to be noted that, with increasing amplitude of the damped oscillatory current, the multimodal ISI distribution changes to unimodal ISI distribution when the magnitude of external current reaches a critical value. It is found that the entropy also shows a sudden transition around the critical point. This phenomenon is akin to a phase transition.

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