The human brain contains two major cell populations, neurons and glia. While neurons are
electrically excitable and capable of discharging short voltage pulses known as action …

Modern model-based control theory has led to transformative improvements in our ability to
track the nonlinear dynamics of systems that we observe, and to engineer control systems of …

Recent studies have shown that seizures can spread and terminate across brain areas via a
rich diversity of spatiotemporal patterns. In particular, while the location of the seizure onset …

In these companion papers, we study how the interrelated dynamics of sodium and
potassium affect the excitability of neurons, the occurrence of seizures, and the stability of …

We developed a neural network model that can account for major elements common to
human focal seizures. These include the tonic-clonic transition, slow advance of clinical …

Cortical activity depends upon a continuous supply of oxygen and other metabolic
resources. Perinatal disruption of oxygen availability is a common clinical scenario in …

Epileptic seizures are characterized by periods of recurrent, highly synchronized activity that
spontaneously terminates, followed by postictal state when neuronal activity is generally …

One characteristic of epilepsy is the variety of mechanisms leading to the epileptic state,
which are still largely unknown. Refractory status epilepticus (RSE) and depolarization block …

Precisely timed and dynamically balanced excitatory (E) and inhibitory (I) conductances
underlie the basis of neural network activity. Normal E/I balance is often shifted in epilepsy …

The hydration structure of Na+ and K+ ions in solution is systematically investigated using a
hierarchy of molecular models that progressively include more accurate representations of …