The integrate-and-fire neuron model is one of the most widely used models for analyzing the
behavior of neural systems. It describes the membrane potential of a neuron in terms of the …

Multiple electrodes are now a standard tool in neuroscience research that make it possible
to study the simultaneous activity of several neurons in a given brain region or across …

What happens in our brain when we make a decision? What triggers a neuron to send out a
signal? What is the neural code? This textbook for advanced undergraduate and beginning …

Neurons in the brain communicate by short electrical pulses, the so-called action potentials
or spikes. How can we understand the process of spike generation? How can we …

Multiple factors simultaneously affect the spiking activity of individual neurons. Determining
the effects and relative importance of these factors is a challenging problem in …

Several neural network models in continuous time are reconsidered in the framework of a
general mean-field theory which is exact in the limit of a large and fully connected network …

Measuring agreement between a statistical model and a spike train data series, that is,
evaluating goodness of fit, is crucial for establishing the model's validity prior to using it to …

We define residuals for point process models fitted to spatial point pattern data, and we
propose diagnostic plots based on them. The residuals apply to any point process model …

There are two basic problems in the statistical analysis of neural data. The “encoding”
problem concerns how information is encoded in neural spike trains: can we predict the …

We demonstrate that single-variable integrate-and-fire models can quantitatively capture the
dynamics of a physiologically detailed model for fast-spiking cortical neurons. Through a …