Frontiers in Computational Neuroscience (Apr 2019)

Bistable Firing Pattern in a Neural Network Model

  • Paulo R. Protachevicz,
  • Fernando S. Borges,
  • Ewandson L. Lameu,
  • Peng Ji,
  • Peng Ji,
  • Kelly C. Iarosz,
  • Alexandre H. Kihara,
  • Ibere L. Caldas,
  • Jose D. Szezech,
  • Jose D. Szezech,
  • Murilo S. Baptista,
  • Elbert E. N. Macau,
  • Chris G. Antonopoulos,
  • Antonio M. Batista,
  • Antonio M. Batista,
  • Jürgen Kurths,
  • Jürgen Kurths

DOI
https://doi.org/10.3389/fncom.2019.00019
Journal volume & issue
Vol. 13

Abstract

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Excessively high, neural synchronization has been associated with epileptic seizures, one of the most common brain diseases worldwide. A better understanding of neural synchronization mechanisms can thus help control or even treat epilepsy. In this paper, we study neural synchronization in a random network where nodes are neurons with excitatory and inhibitory synapses, and neural activity for each node is provided by the adaptive exponential integrate-and-fire model. In this framework, we verify that the decrease in the influence of inhibition can generate synchronization originating from a pattern of desynchronized spikes. The transition from desynchronous spikes to synchronous bursts of activity, induced by varying the synaptic coupling, emerges in a hysteresis loop due to bistability where abnormal (excessively high synchronous) regimes exist. We verify that, for parameters in the bistability regime, a square current pulse can trigger excessively high (abnormal) synchronization, a process that can reproduce features of epileptic seizures. Then, we show that it is possible to suppress such abnormal synchronization by applying a small-amplitude external current on > 10% of the neurons in the network. Our results demonstrate that external electrical stimulation not only can trigger synchronous behavior, but more importantly, it can be used as a means to reduce abnormal synchronization and thus, control or treat effectively epileptic seizures.

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