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Complex bifurcation structures in a Hodgkin-Huxley model of thermally sensitive neurons under periodic perturbation

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Author(s):
Boaretto, Bruno R. R. ; Protachevicz, Paulo R. ; Hansen, Matheus ; Medrano-T, Rene O. ; Macau, Elbert E. N. ; Grebogi, Celso
Total Authors: 6
Document type: Journal article
Source: PHYSICAL REVIEW E; v. 111, n. 5, p. 6-pg., 2025-05-15.
Abstract

In this study, we identify an intricate class of periodic behavior, coined as "fishbone," within the chaotic dynamics induced by external periodic disturbances in a neuronal system. Alongside this structure, we observe well-known patterns such as shrimps and cockroaches, revealing the system's sensitivity to external perturbations. Notably, our work highlights the significant impact of altering biophysical parameters, showing that changes in the ionic conductance of neurons can lead to the cohesion or detachment of complex periodic structures from the primary fishbone-shaped structure. This finding underscores the role of ionic channels in shaping neuronal responses, which is relevant given their involvement in various neuronal disorders. Furthermore, our study provides insights into how external perturbations influence neuron signal processing. (AU)

FAPESP's process: 24/06718-5 - Basins of Attraction: From unidimensional maps to complex networks
Grantee:Rene Orlando Medrano Torricos
Support Opportunities: Regular Research Grants
FAPESP's process: 21/09839-0 - The role of synaptic current in synchronizing of neuronal networks
Grantee:Bruno Rafael Reichert Boaretto
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 23/12863-5 - Synchronization in neuronal networks with long-term synaptic plasticity
Grantee:Paulo Ricardo Protachevicz
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
FAPESP's process: 22/05153-9 - Neuronal networks with short-term plasticity
Grantee:Paulo Ricardo Protachevicz
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
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: 23/16273-8 - Investigating Emergent Synchronization Patterns and Information Processing of Neural Networks using Data Analysis
Grantee:Bruno Rafael Reichert Boaretto
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor