We study patterns of partial synchronization in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in human subjects. We report the spontaneous occurrence of synchronization phenomena that closely resemble the ones seen during epileptic seizures in humans. In order to obtain deeper insights into the interplay between dynamics and network topology, we perform long-term simulations of oscillatory dynamics on different paradigmatic network structures: random networks, regular nonlocally coupled ring networks, ring networks with fractal connectivities, and small-world networks with various rewiring probability. Among these networks, a small-world network with intermediate rewiring probability best mimics the findings achieved with the simulations using the empirical structural connectivity. For the other network topologies, either no spontaneously occurring epileptic-seizure-related synchronization phenomena can be observed in the simulated dynamics, or the overall degree of synchronization remains high throughout the simulation. This indicates that a topology with some balance between regularity and randomness favors the self-initiation and self-termination of episodes of seizure-like strong synchronization.
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Neurobiol Sleep Circadian Rhythms
May 2025
Instituto de Biociências, Departamento de Fisiologia, Universidade de São Paulo, SP, Brazil.
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View Article and Find Full Text PDFJ Phys Chem B
December 2024
Department of Earth and Planetary Sciences and Origins of Life Initiative, Harvard University, 20 Oxford Street, Cambridge, Massachusetts 02138, United States.
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View Article and Find Full Text PDFCogn Neurodyn
December 2024
Department of Mathematical Sciences, Indiana University Indianapolis, Indianapolis, IN 46202 USA.
Synchronization of neural activity in the gamma frequency band is associated with various cognitive phenomena. Abnormalities of gamma synchronization may underlie symptoms of several neurological and psychiatric disorders such as schizophrenia and autism spectrum disorder. Properties of neural oscillations in the gamma band depend critically on the synaptic properties of the underlying circuits.
View Article and Find Full Text PDFCogn Neurodyn
December 2024
State Key Laboratory for Strength and Vibration of Mechanical Structures, Shaanxi Engineering Research Center of Nondestructive Testing and Structural Integrity Evaluation, School of Aerospace Engineering, Xi'an Jiaotong University, Xi'an, 710049 China.
Over the past decade, most of researches on the communication between the neurons are based on synapses. However, the changes in action potentials in neurons may produce complex electromagnetic fields in the media, which may also have an impact on the electrical activity of neurons. To explore this factor, we construct a two-layer neuronal network composed of identical Hindmarsh-Rose neurons.
View Article and Find Full Text PDFFront Comput Neurosci
December 2024
Institute of Software Engineering and Theoretical Computer Science, Technische Universitaet Berlin, Berlin, Germany.
We adapt non-linear optimal control theory (OCT) to control oscillations and network synchrony and apply it to models of neural population dynamics. OCT is a mathematical framework to compute an efficient stimulation for dynamical systems. In its standard formulation, it requires a well-defined reference trajectory as target state.
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