Synchronous rhythms represent a core mechanism for sculpting temporal coordination of
neural activity in the brain-wide network. This review focuses on oscillations in the cerebral …

Vertebrate spinal cord and brainstem central pattern generator (CPG) circuits share
profound similarities with neocortical circuits. CPGs can produce meaningful functional …

The dynamical systems found in nature are rarely isolated. Instead they interact and
influence each other. The coupling functions that connect them contain detailed information …

Despite compelling phenomenological evidence that small electric fields (< 5 mV/mm) can
affect brain function, a quantitative and experimentally verified theory is currently lacking …

Despite substantial innovations in antiepileptic drug therapy over the past 15 years, the
proportion of patients with uncontrolled epilepsy has not changed, highlighting the need for …

We used phase models to describe and tune complex dynamic structures to desired states;
weak, nondestructive signals are used to alter interactions among nonlinear rhythmic …

We review the principal assumptions underlying the application of phase-response curves
(PRCs) to synchronization in neuronal networks. The PRC measures how much a given …

The phase-resetting curve (PRC) of a neural oscillator describes the effect of a perturbation
on its periodic motion and is therefore useful to study how the neuron responds to stimuli …

We performed a systematic analysis of phase locking in pairs of electrically coupled
neocortical fast-spiking (FS) and low-threshold-spiking (LTS) interneurons and in a …

Seizures are thought to originate from a failure of inhibition to quell hyperactive neural
circuits, but the nature of this failure remains unknown. Here we combine high-speed two …