Stochastic integrate and fire models: a review on mathematical methods and their applications

L Sacerdote, MT Giraudo - … models: with applications to neuronal modeling, 2013 - Springer
Mathematical models are an important tool for neuroscientists. During the last 30 years
many papers have appeared on single neuron description and specifically on stochastic …

A review of the methods for signal estimation in stochastic diffusion leaky integrate-and-fire neuronal models

P Lansky, S Ditlevsen - Biological cybernetics, 2008 - Springer
Parameters in diffusion neuronal models are divided into two groups; intrinsic and input
parameters. Intrinsic parameters are related to the properties of the neuronal membrane and …

Made-to-order spiking neuron model equipped with a multi-timescale adaptive threshold

R Kobayashi, Y Tsubo, S Shinomoto - Frontiers in computational …, 2009 - frontiersin.org
Information is transmitted in the brain through various kinds of neurons that respond
differently to the same signal. Full characteristics including cognitive functions of the brain …

A benchmark test for a quantitative assessment of simple neuron models

R Jolivet, R Kobayashi, A Rauch, R Naud… - Journal of neuroscience …, 2008 - Elsevier
Several methods and algorithms have recently been proposed that allow for the systematic
evaluation of simple neuron models from intracellular or extracellular recordings. Models …

The quantitative single-neuron modeling competition

R Jolivet, F Schürmann, TK Berger, R Naud… - Biological …, 2008 - Springer
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 …

Stochastic differential mixed‐effects models

U Picchini, ADE GAETANO… - Scandinavian Journal of …, 2010 - Wiley Online Library
Stochastic differential equations have been shown useful in describing random continuous
time processes. Biomedical experiments often imply repeated measurements on a series of …

Comparative study of different integrate-and-fire neurons: Spontaneous activity, dynamical response, and stimulus-induced correlation

RD Vilela, B Lindner - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
Stochastic integrate-and-fire (IF) neuron models have found widespread applications in
computational neuroscience. Here we present results on the white-noise-driven perfect …

Motoneuron membrane potentials follow a time inhomogeneous jump diffusion process

P Jahn, RW Berg, J Hounsgaard… - Journal of computational …, 2011 - Springer
Stochastic leaky integrate-and-fire models are popular due to their simplicity and statistical
tractability. They have been widely applied to gain understanding of the underlying …

[图书][B] Introduction to statistical data analysis for the life sciences

CT Ekstrom, H Sørensen - 2014 - books.google.com
A Hands-On Approach to Teaching Introductory Statistics Expanded with over 100 more
pages, Introduction to Statistical Data Analysis for the Life Sciences, Second Edition …

[HTML][HTML] Efficient inference for stochastic differential equation mixed-effects models using correlated particle pseudo-marginal algorithms

S Wiqvist, A Golightly, AT McLean, U Picchini - Computational Statistics & …, 2021 - Elsevier
Stochastic differential equation mixed-effects models (SDEMEMs) are flexible hierarchical
models that are able to account for random variability inherent in the underlying time …