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 …
many papers have appeared on single neuron description and specifically on stochastic …
From stochastic nonlinear integrate-and-fire to generalized linear models
Variability in single neuron models is typically implemented either by a stochastic Leaky-
Integrate-and-Fire model or by a model of the Generalized Linear Model (GLM) family. We …
Integrate-and-Fire model or by a model of the Generalized Linear Model (GLM) family. We …
Bifurcations of large networks of two-dimensional integrate and fire neurons
W Nicola, SA Campbell - Journal of computational neuroscience, 2013 - Springer
Recently, a class of two-dimensional integrate and fire models has been used to faithfully
model spiking neurons. This class includes the Izhikevich model, the adaptive exponential …
model spiking neurons. This class includes the Izhikevich model, the adaptive exponential …
Synchronization of an excitatory integrate-and-fire neural network
G Dumont, J Henry - Bulletin of mathematical biology, 2013 - Springer
In this paper, we study the influence of the coupling strength on the synchronization
behavior of a population of leaky integrate-and-fire neurons that is self-excitatory with a …
behavior of a population of leaky integrate-and-fire neurons that is self-excitatory with a …
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 …
and-fire model, also known as the Ornstein-Uhlenbeck neuronal model, were estimated on …
A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input
AN Burkitt - Biological cybernetics, 2006 - Springer
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 …
behavior of neural systems. It describes the membrane potential of a neuron in terms of the …
[图书][B] Stochastic biomathematical models: with applications to neuronal modeling
M Bachar, JJ Batzel, S Ditlevsen - 2012 - books.google.com
Stochastic biomathematical models are becoming increasingly important as new light is
shed on the role of noise in living systems. In certain biological systems, stochastic effects …
shed on the role of noise in living systems. In certain biological systems, stochastic effects …
[PDF][PDF] Integrate-and-fire neurons and networks
W Gerstner - The handbook of brain theory and neural networks, 2002 - Citeseer
Most biological neurons communicate by short electrical pulses, called action potentials or
spikes. In contrast to the standard neuron model used in artificial neural networks, integrate …
spikes. In contrast to the standard neuron model used in artificial neural networks, integrate …
[图书][B] Stochastic models of neural networks
C Turchetti - 2004 - books.google.com
Artificial Neural Networks, or more simply neural networks, are the main objects of a new
science, named neural computing (or neurocomputing), which aims to define a paradigm of …
science, named neural computing (or neurocomputing), which aims to define a paradigm of …
Noisy threshold in neuronal models: connections with the noisy leaky integrate-and-fire model
G Dumont, J Henry, CO Tarniceriu - Journal of mathematical biology, 2016 - Springer
Providing an analytical treatment to the stochastic feature of neurons' dynamics is one of the
current biggest challenges in mathematical biology. The noisy leaky integrate-and-fire …
current biggest challenges in mathematical biology. The noisy leaky integrate-and-fire …