(Q22001040)

23 June 2017

Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons (English)

1 reference

23 June 2017

0 references

3

Olivier Faugeras

Olivier

Faugeras

1 reference

Dimensions

27 August 2022

Javier Baladron

1

Javier

Baladron

2 references

23 June 2017

27 August 2022

Diego Fasoli

series ordinal

2

author given names

Diego

author last names

Fasoli

2 references

23 June 2017

27 August 2022

Jonathan Touboul

series ordinal

4

author given names

Jonathan

author last names

Touboul

2 references

23 June 2017

27 August 2022

language of work or name

English

0 references

publication date

31 May 2012

1 reference

Journal of mathematical neuroscience

23 June 2017

1 reference

23 June 2017

2

1 reference

23 June 2017

1

1 reference

23 June 2017

10

1 reference

PubMed ID

22657695

maintained by WikiProject

23 June 2017

WikiProject Mathematics

0 references

exact match

https://scigraph.springernature.com/pub.10.1186/2190-8567-2-10

0 references

cites work

A class of markov processes associated with nonlinear parabolic equations

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

A quantitative description of membrane current and its application to conduction and excitation in nerve

19 March 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Chaos in Random Neural Networks

19 March 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs

19 March 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons.

19 March 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Avalanches in a stochastic model of spiking neurons

12 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Can power-law scaling and neuronal avalanches arise from stochastic dynamics?

12 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Hyperbolic planforms in relation to visual edges and textures perception

12 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Systematic fluctuation expansion for neural network activity equations

12 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

An effective kinetic representation of fluctuation-driven neuronal networks with application to simple and complex cells in visual cortex

12 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Theoretical effect of temperature on threshold in the Hodgkin-Huxley nerve model

12 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue

12 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Dynamics of pattern formation in lateral-inhibition type neural fields

12 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Critical analysis of dimension reduction by a moment closure method in a population density approach to neural network modeling

12 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Synthesis of models for excitable membranes, synaptic transmission and neuromodulation using a common kinetic formalism

27 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Temporal oscillations in neuronal nets

27 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

A constructive mean-field analysis of multi-population neural networks with random synaptic weights and stochastic inputs

27 September 2017

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Fast global oscillations in networks of integrate-and-fire neurons with low firing rates.

30 May 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex.

30 May 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Excitatory and inhibitory interactions in localized populations of model neurons

30 May 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

30 May 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Stochastic dynamics as a principle of brain function.

29 November 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Phase transitions towards criticality in a neural system with adaptive interactions.

29 November 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

A master equation formalism for macroscopic modeling of asynchronous irregular activity states.

29 November 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Field-theoretic approach to fluctuation effects in neural networks.

29 November 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Population model of hippocampal pyramidal neurons, linking a refractory density approach to conductance-based neurons.

29 November 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Bumps, breathers, and waves in a neural network with spike frequency adaptation.

29 November 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Neuronal avalanches are diverse and precise activity patterns that are stable for many hours in cortical slice cultures.

29 November 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Firing Rate of the Noisy Quadratic Integrate-and-Fire Neuron

29 November 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Population dynamics of interacting spiking neurons.

29 November 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons.

29 November 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Master-equation approach to stochastic neurodynamics.

29 November 2018

1 reference

https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pmc&linkname=pmc_refs_pubmed&retmode=json&id=3497713

Time structure of the activity in neural network models

29 November 2018

1 reference

PubMed

https://pubmed.ncbi.nlm.nih.gov/22657695

inferred from PubMed ID database lookup

12 December 2020

based on heuristic

Asynchronous states in networks of pulse-coupled oscillators

1 reference

PubMed

https://pubmed.ncbi.nlm.nih.gov/22657695

inferred from PubMed ID database lookup

12 December 2020

based on heuristic

Identifiers

DOI

10.1186/2190-8567-2-10

1 reference

PubMed ID

22657695

23 June 2017

OpenCitations bibliographic resource ID

0 references

4110112

1 reference

Consolidated OpenCitations Corpus – April 2017

OpenCitations bibliographic resource ID

1 reference

Consolidated OpenCitations Corpus – April 2017

OpenCitations bibliographic resource ID

1 reference

PubMed ID

22657695