Synchronization of excitatory neurons with strongly heterogeneous phase response

Synchronization of excitatory neurons with strongly heterogeneous phase responses.

In many real-world oscillator systems, the phase response curves are highly heterogeneous. However, the dynamics of heterogeneous oscillator networks has not been seriously addressed. We propose a theoretical framework to analyze such a system by dealing explicitly with the heterogeneous phase response curves. We develop a method to solve the self-consistent equations for order parameters by us...

Title : Synchronization of Strongly Coupled Excitatory Neurons : Relating Network Behavior

Synchronization of Strongly Coupled Excitatory Neurons : Relating Network Behavior

Behavior of a network of neurons is closely tied to the properties of the individual neurons. We study this relationship in models of layer II stellate cells (SCs) of the medial entorhinal cortex. SCs are thought to contribute to the mammalian theta rhythm (4-12 Hz), and are notable for the slow ionic conductances that constrain them to fire at rates within this frequency range. We apply " spik...

Synchronization of phase oscillators with heterogeneous coupling: A solvable case

We consider an extension of Kuramoto’s model of coupled phase oscillators where oscillator pairs interact with different strengths. When the coupling coefficient of each pair can be separated into two different factors, each one associated to an oscillator, Kuramoto’s theory for the transition to synchronization can be explicitly generalized, and the effects of coupling heterogeneity on synchro...

Phase Synchronization of Two Tremor - Related Neurons

The objective of the study was to investigate the presence of the phase-locking between a pair of physiological tremor signals from two closely located neurons in the thalamotomy area of a human brain. Most frequently used current methods detect both phase and amplitude correlations between tremor signals based on the stationary assumption of the signals. The correlation analysis method utilize...