Oscillation quenching constitutes a fundamental emergent phenomenon in systems of
coupled nonlinear oscillators. Its importance for various natural and man-made systems …

Multivariate time series analysis is extensively used in neurophysiology with the aim of
studying the relationship between simultaneously recorded signals. Recently, advances on …

We study the dynamics of a pair of intrinsically oscillating leaky integrate-and-fire neurons
(identical and noise-free) connected by combinations of electrical and inhibitory coupling …

The biologist JBS Haldane, when asked what we can learn about the Creator by examining
the world, is said to have replied “an inordinate fondness for beetles”[705]. Today's …

Inhibitory interneurons of the neocortex are electrically coupled to cells of the same type
through gap junctions. We studied the spatial organization of two types of interneurons in the …

We propose a novel, closed-loop approach to tuning deep brain stimulation (DBS) for
Parkinson's disease (PD). The approach, termed Phasic Burst Stimulation (PhaBS), applies …

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 …

We consider general heterogeneous ensembles of phase oscillators, sine coupled to
arbitrary external fields. Starting with the infinitely large ensembles, we extend the Watanabe …

The effect of cellular heterogeneity on the coding properties of neural populations is studied
analytically and numerically. We find that heterogeneity decreases the threshold for …

We describe a transition from fully synchronous periodic oscillations to partially synchronous
quasiperiodic dynamics in ensembles of identical oscillators with all-to-all coupling that …