Estimating nonstationary inputs from a single spike train based on a neuron model with adaptation

H Kim, S Shinomoto - Mathematical Biosciences & Engineering, 2013 - aimsciences.org
Because every spike of a neuron is determined by input signals, a train of spikes may
contain information about the dynamics of unobserved neurons. A state-space method …

Maximum likelihood estimation of a stochastic integrate-and-fire neural model

L Paninski, E Simoncelli… - Advances in Neural …, 2003 - proceedings.neurips.cc
Recent work has examined the estimation of models of stimulus-driven neural activity in
which some linear filtering process is followed by a nonlinear, probabilistic spiking stage …

Ergodicity of spike trains: when does trial averaging make sense?

N Masuda, K Aihara - Neural computation, 2003 - direct.mit.edu
Neuronal information processing is often studied on the basis of spiking patterns. The
relevant statistics such as firing rates calculated with the peri-stimulus time histogram are …

Tracking fast and slow changes in synaptic weights from simultaneously observed pre-and postsynaptic spiking

G Wei, IH Stevenson - Neural computation, 2021 - direct.mit.edu
Synapses change on multiple timescales, ranging from milliseconds to minutes, due to a
combination of both short-and long-term plasticity. Here we develop an extension of the …

Estimating parameters of generalized integrate-and-fire neurons from the maximum likelihood of spike trains

Y Dong, S Mihalas, A Russell… - Neural …, 2011 - ieeexplore.ieee.org
When a neuronal spike train is observed, what can we deduce from it about the properties of
the neuron that generated it? A natural way to answer this question is to make an …

Integrate-and-fire models with adaptation are good enough

R Jolivet, A Rauch, HR Lüscher… - Advances in neural …, 2005 - proceedings.neurips.cc
Integrate-and-Fire-type models are usually criticized because of their simplicity. On the other
hand, the Integrate-and-Fire model is the basis of most of the theoretical studies on spiking …

Elimination of response latency variability in neuronal spike trains

MP Nawrot, A Aertsen, S Rotter - Biological cybernetics, 2003 - Springer
Neuronal activity in the mammalian cortex exhibits a considerable amount of trial-by-trial
variability. This may be reflected by the magnitude of the activity as well as by the response …

Spike train probability models for stimulus-driven leaky integrate-and-fire neurons

S Koyama, RE Kass - Neural computation, 2008 - direct.mit.edu
Mathematical models of neurons are widely used to improve understanding of neuronal
spiking behavior. These models can produce artificial spike trains that resemble actual spike …

Transient responses to rapid changes in mean and variance in spiking models

P Khorsand, F Chance - PloS One, 2008 - journals.plos.org
The mean input and variance of the total synaptic input to a neuron can vary independently,
suggesting two distinct information channels. Here we examine the impact of rapidly varying …

The parameters of the stochastic leaky integrate-and-fire neuronal model

P Lansky, P Sanda, J He - Journal of Computational Neuroscience, 2006 - Springer
Five parameters of one of the most common neuronal models, the diffusion leaky integrate-
and-fire model, also known as the Ornstein-Uhlenbeck neuronal model, were estimated on …