A celebrated and controversial hypothesis suggests that some biological systems—parts,
aspects, or groups of them—may extract important functional benefits from operating at the …

Inhibitory neurons, although relatively few in number, exert powerful control over brain
circuits. They stabilize network activity in the face of strong feedback excitation and actively …

Shared neural variability is ubiquitous in cortical populations. While this variability is
presumed to arise from overlapping synaptic input, its precise relationship to local circuit …

Trial-to-trial variability is a reflection of the circuitry and cellular physiology that make up a
neuronal network. A pervasive yet puzzling feature of cortical circuits is that despite their …

Many studies have shown that the excitation and inhibition received by cortical neurons
remain roughly balanced across many conditions. A key question for understanding the …

The Wilson–Cowan population model of neural activity has greatly influenced our
understanding of the mechanisms for the generation of brain rhythms and the emergence of …

Recent studies have applied dimensionality reduction methods to understand how the multi-
dimensional structure of neural population activity gives rise to brain function. It is unclear …

Models of cortical dynamics often assume a homogeneous connectivity structure. However,
we show that heterogeneous input connectivity can prevent the dynamic balance between …

The neural dynamics generating sensory, motor, and cognitive functions are commonly
understood through field theories for neural population activity. Classic neural field theories …

We report a transition from asynchronous to oscillatory behavior in balanced inhibitory
networks for class I and II neurons with instantaneous synapses. Collective oscillations …