Cortical spike trains are highly irregular both during ongoing, spontaneous activity and when
driven at high firing rates. There is uncertainty about the source of this irregularity, ranging …

Stochastic oscillators play a prominent role in different fields of science. Their simplified
description in terms of a phase has been advocated by different authors using distinct phase …

We systematically investigate the response of neurons to oscillatory currents and synaptic-
like inputs and we extend our investigation to non-structured synaptic-like spiking inputs with …

The Thermodynamic Formalism provides a rigorous mathematical framework for studying
quantitative and qualitative aspects of dynamical systems. At its core, there is a variational …

Rhythmic behaviors in neural systems often combine features of limit-cycle dynamics
(stability and periodicity) with features of near heteroclinic or near homoclinic cycle …

The generation of intrinsic subthreshold (membrane potential) oscillations (STOs) in
neuronal models requires the interaction between two processes: a relatively fast positive …

The pathophysiology of neuropathic pain generation has not been fully investigated.
Previous studies have primarily focused on changes in the properties of single neurons in …

Subthreshold neural oscillations have been observed in several brain regions and can
influence the timing of neural spikes. However, the spatial extent and function of these …

The intertwining of space and time poses a significant scientific challenge, transcending
disciplines from philosophy and physics to neuroscience. Deciphering neural coding …

We prove that the first passage time density ρ (t) for an Ornstein-Uhlenbeck process X (t)
obeying dX=-β Xdt+ σdW to reach a fixed threshold θ from a suprathreshold initial condition …