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Emergence of mixed mode oscillations in random networks of diverse excitable neurons: the role of neighbors and electrical coupling

Ghosh, Subrata and Mondal, Argha and Ji, Peng and Mishra, Arindam and Kumar Dana, Syamal and Antonopoulos, Chris and Hens, Chittaranjan (2020) 'Emergence of mixed mode oscillations in random networks of diverse excitable neurons: the role of neighbors and electrical coupling.' Frontiers in Computational Neuroscience, 14. ISSN 1662-5188

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Abstract

In this paper, we focus on the emergence of diverse neuronal oscillations arising in a mixed population of neurons with different excitability properties. These properties produce mixed mode oscillations (MMOs) characterized by the combination of large amplitudes and alternate subthreshold or small amplitude oscillations. Considering the biophysically plausible, Izhikevich neuron model, we demonstrate that various MMOs, including MMBOs (mixed mode bursting oscillations) and synchronized tonic spiking appear in a randomly connected network of neurons, where a fraction of them is in a quiescent (silent) state and the rest in self-oscillatory (firing) states. We show that MMOs and other patterns of neural activity depend on the number of oscillatory neighbors of quiescent nodes and on electrical coupling strengths. Our results are verified by constructing a reduced-order network model and supported by systematic bifurcation diagrams as well as for a small-world network. Our results suggest that, for weak couplings, MMOs appear due to the de-synchronization of a large number of quiescent neurons in the networks. The quiescent neurons together with the firing neurons produce high frequency oscillations and bursting activity. The overarching goal is to uncover a favorable network architecture and suitable parameter spaces where Izhikevich model neurons generate diverse responses ranging from MMOs to tonic spiking.

Item Type: Article
Uncontrolled Keywords: Izhikevich neuron model, random networks, bicurcation scenaria, mixed mode oscillations (MMOs), mixed mode bursting oscillations (MMBOs), excitable neurons, electrical coupling
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Elements
Date Deposited: 17 Aug 2020 09:15
Last Modified: 08 Sep 2020 18:15
URI: http://repository.essex.ac.uk/id/eprint/28342

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