Chimera States and Seizures in a Mouse Neuronal Model

Abstract

Chimera states---the coexistence of synchrony and asynchrony in a nonlocally-coupled network of identical oscillators---are often used as a model framework for epileptic seizures. Here, we explore the dynamics of chimera states in a network of modified Hindmarsh-Rose neurons, configured to reflect the graph of the mesoscale mouse connectome. Our model produces superficially epileptiform activity converging on persistent chimera states in a large region of a two-parameter space governing connections (a) between subcortices within a cortex and (b) between cortices. Our findings contribute to a growing body of literature suggesting mathematical models can qualitatively reproduce epileptic seizure dynamics.

arXiv comment16 pages, 17 figures

References in corpus (12)

• Chimera States for Coupled Oscillators
• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Chimera States in Mechanical Oscillator Networks
• Solvable model for chimera states of coupled oscillators
• Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators
• Metastable Chimera States in Community-Structured Oscillator Networks
• Chimera-like states in modular neural networks
• Cognitive chimera states in human brain networks
• Chimera states in brain networks: empirical neural vs. modular fractal connectivity
• Chimera in a neuronal network model of the cat brain
• Self-propelled chimeras
• Lyapunov Analysis of Chimera States in Globally Coupled Stuart-Landau oscillators