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Dynamics of a perturbed random neuronal network with burst-timing-dependent plasticity

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Abstract

Neuroplasticity, also known as brain plasticity or neuronal plasticity, allows the brain to improve its connections or rewire itself. The synaptic modifications can help the brain to enhance fitness, to promote existing cognitive capabilities, and to recover from some brain injuries. Furthermore, brain plasticity has impacts on neuronal synchronisation. In this work, we build a neuronal network composed of coupled Rulkov neurons with excitatory connections randomly distributed. We consider burst-timing-dependent plasticity to investigate the effects of external perturbations, such as periodic and random pulses, on the neuronal synchronous behaviour. The plasticity changes the synaptic weights between the presynaptic and postsynaptic neurons, and as a consequence the burst synchronisation. We verify that the external periodic and random pulsed perturbations can induce synchronisation and desynchronisation states. One of our main results is to demonstrate that bursting synchronisation and desynchronisation in a network with burst-timing-dependent plasticity can emerge according to alterations of the initial synaptic weights. Furthermore, we show that external periodic and random pulsed currents can be an effective method to suppress neuronal activities related to pathological synchronous behaviour.

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Acknowledgements

This work was possible by partial financial support from the following Brazilian government agencies: São Paulo Research Foundation (FAPESP, Brazil) (Grant no. 2019/09150-1), Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES), National Council for Scientific and Technological Development (CNPq), and Fundação Araucária.

Author information

Authors and Affiliations

  1. Graduate Program in Science, State University of Ponta Grossa, Ponta Grossa, PR, Brazil

    Elaheh Sayari, Antonio M. Batista, Enrique C. Gabrick & José D. Szezech Jr.

  2. Mathematics and Statistics Department, State University of Ponta Grossa, Ponta Grossa, PR, Brazil

    Antonio M. Batista & José D. Szezech Jr.

  3. University Center UNIFATEB, Telêmaco Borba, PR, Brazil

    Kelly C. Iarosz

  4. Graduate Program in Chemical Engineering Federal Technological University of Paraná, Ponta Grossa, PR, Brazil

    Kelly C. Iarosz

  5. Institute of Science and Technology, Federal University of São Paulo-UNIFESP, São José dos Campos, SP, Brazil

    Matheus Hansen

  6. Department of Physiology and Pharmacology, State University of New York Downstate Health Sciences University, Brooklyn, NY, USA

    Fernando S. Borges

  7. Center for Mathematics, Computation, and Cognition, Federal University of ABC, São Bernardo do Campo, SP, Brazil

    Fernando S. Borges

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  1. Elaheh Sayari
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Correspondence to Kelly C. Iarosz.

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Collective Behavior of Nonlinear Dynamical Oscillators. Guest editors: Sajad Jafari, Bocheng Bao, Christos Volos, Fahimeh Nazarimehr, Han Bao.

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Sayari, E., Batista, A.M., Gabrick, E.C. et al. Dynamics of a perturbed random neuronal network with burst-timing-dependent plasticity. Eur. Phys. J. Spec. Top. 231, 4049–4056 (2022). https://doi.org/10.1140/epjs/s11734-022-00694-4

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