A commonly observed neural correlate of working memory is firing that persists after the
triggering stimulus disappears. Substantial effort has been devoted to understanding the …

There has been a resurgence of interest in non-equilibrium stochastic processes in recent
years, driven in part by the observation that the number of molecules (genes, mRNA …

One of the major challenges in modern biology is to understand how the molecular
components of a living cell operate in a highly noisy environment. What are the specific …

Introduction Studies of categorical decision-making attempt to understand behavior by
probing how different features of complex and changing environments guide the selection of …

This is a book on mathematical neuroscience, in which the unifying theme is wavelike
phenomena at multiple spatial and temporal scales. There are already several excellent …

Transfer entropy (TE) is a widely used measure of directed information flows in a number of
domains including neuroscience. Many real-world time series for which we are interested in …

For the past seven decades, the Hodgkin–Huxley (HH) formalism has been an invaluable
tool in the arsenal of neuroscientists, allowing for robust and reproducible modelling of ionic …

We propose an extension of the Fitzhugh-Nagumo model, which possesses a regime of
three coexisting stable states: resting equilibrium and two stable oscillatory states. Such a …

Noise is an inherent part of neuronal dynamics, and thus of the brain. It can be observed in
neuronal activity at different spatiotemporal scales, including in neuronal membrane …

Information processing in neural systems can be described and analyzed at multiple
spatiotemporal scales. Generally, information at lower levels is more fine-grained but can be …