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 …

The integrate-and-fire neuron model describes the state of a neuron in terms of its
membrane potential, which is determined by the synaptic inputs and the injected current that …

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 …

Abstract A correlation-based (“Hebbian”) learning rule at a spike level with millisecond
resolution is formulated, mathematically analyzed, and compared with learning in a firing …

Understanding the mechanisms that influence the initiation of action potentials in single
neurons is an important step in determining the way information is processed by neural …

We model the propagation of neural activity through a feedforward network consisting of
layers of integrate-and-fire neurons. In the presence of a noisy background current and …

We study analytically a model of long-term synaptic plasticity where synaptic changes are
triggered by presynaptic spikes, postsynaptic spikes, and the time differences between …

As large-scale, detailed network modeling projects are flourishing in the field of
computational neuroscience, it is more and more important to design single neuron models …

The integration of direct bottom-up inputs with contextual information is a core feature of
neocortical circuits. In area V1, neurons may reduce their firing rates when their receptive …

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 …