Dynamics of uncoupled and coupled neurons under an external pulsed current

Author(s)

Hansen, Matheus ; Protachevicz, Paulo R. ; Iarosz, Kelly C. ; Caldas, Ibere L. ; Batista, Antonio ; Macau, Elbert E. N.

• Document type: Journal article
• Source: CHAOS SOLITONS & FRACTALS; v. 155, p. 10-pg., 2022-02-01.

Abstract

The neuron dynamics is highly susceptible to variations in its current input. In this work, we study the dynamics of uncoupled and random coupled Hodgkin Huxley neurons under an external current with constant or pulsed amplitude. The profile of these pulse perturbations are considered as periodic, ran-dom, and a mix between these two types. For uncoupled and coupled neurons submitted to a constant input current, we observe neuronal silence, spike, and coexistence between these two regimes, as well as spike synchronisation. However, when periodic pulse perturbations are introduced, the neuronal activ-ities depend on the pulse parameters, as the amplitude and duration values. For random pulsed inputs, the complexity is greater, once such perturbation may induce the appearance of uncertainty in the neu-ronal dynamics. Furthermore, our simulations suggest that small time windows, in which the random pulses are embedded in a sequence of periodic pulses, are already enough to bring uncertainty in the neuronal activities. In such a scenario, the excitatory couplings can reduce these uncertainties around the behaviour developed by the neurons.(c) 2021 Elsevier Ltd. All rights reserved. (AU)

• FAPESP's process: 18/03211-6 - Non linear dynamics
• Grantee: Iberê Luiz Caldas
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 20/04624-2 - Synaptic plasticity in neuronal networks
• Grantee: Paulo Ricardo Protachevicz
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 19/09150-1 - Effect of time delay and plasticity in neuronal synchronization
• Grantee: Matheus Hansen Francisco
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 15/50122-0 - Dynamic phenomena in complex networks: basics and applications
• Grantee: Elbert Einstein Nehrer Macau
• Support Opportunities: Research Projects - Thematic Grants