A well-defined stochastic theory for neural activity, which permits the calculation of arbitrary
statistical moments and equations governing them, is a potentially valuable tool for …

The anatomy of the mammalian visual system, from the retina to the neocortex, is organized
hierarchically 1 . However, direct observation of cellular-level functional interactions across …

We analyze neocortical dynamics using field theoretic methods for non-equilibrium statistical
processes. Assuming the dynamics is Markovian, we introduce a model that describes both …

We examined simultaneously recorded spikes from multiple rat grid cells, to explain mechanisms
underlying their activity. Among grid cells with similar spatial periods, the population …

Stochastic differential equations (SDEs) have multiple applications in mathematical
neuroscience and are notoriously difficult. Here, we give a self-contained pedagogical review of …

Population rate or activity equations are the foundation of a common approach to modeling
for neural networks. These equations provide mean field dynamics for the firing rate or …

To understand how the brain processes sensory information to guide behavior, we must know
how stimulus representations are transformed throughout the visual cortex. Here we report …

Recent experimental advances are producing an avalanche of data on both neural connectivity
and neural activity. To take full advantage of these two emerging datasets we need a …

Fluorescent calcium indicators are often used to investigate neural dynamics, but the relationship
between fluorescence and action potentials (APs) remains unclear. Most APs can be …

Vasoactive intestinal peptide-expressing (VIP) interneurons in the cortex regulate feedback
inhibition of pyramidal neurons through suppression of somatostatin-expressing (SST) …