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

The activity of neuronal populations underlies sensory, motor, and cognitive functions.
Mathematical theories for predicting the macroscopic activity of neural populations are a …

I have recently discovered two errors in the one-loop calculations of the original article. First,
the propagator matrix in Tables II and III in the original article was transposed, so that the …

A globally coupled network of ON and OFF cells is studied using neural field theory. ON cells
increase their activity when the amplitude of an external stimulus increases, while OFF cells …

Multidimensional stochastic integrate-and-fire (IF) models are a standard spike-generator
model in studies of firing variability, neural information transmission, and neural network …

The integrate-and-fire neuron with exponential postsynaptic potentials is a frequently
employed model to study neural networks. Simulations in discrete time still have highest …

Neural network dynamics are governed by the interaction of spiking neurons. Stochastic
aspects of single-neuron dynamics propagate up to the network level and shape the …

We analyze the effect of noise in integrate-and-fire neurons driven by time-dependent input
and compare the diffusion approximation for the membrane potential to escape noise. It is …

Oscillatory activity robustly correlates with task demands during many cognitive tasks.
However, not only are the network mechanisms underlying the generation of these rhythms …

Many neurons exhibit interval correlations in the absence of input signals. We study the
influence of these intrinsic interval correlations of model neurons on their signal …