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The mean-field equation of a leaky integrate-and-fire neural network: measure solutions and steady states
The mean-field equation of a leaky integrate-and-fire neural network: measure solutions and steady states
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The mean-field equation of a leaky integrate-and-fire neural network: measure solutions and steady states

Dumont, Grégory ; Gabriel, Pierre

Nonlinearity, 2020-12, Vol.33 (12), p.6381-6420 [Periódico revisado por pares]

IOP Publishing

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2
A stochastic-field description of finite-size spiking neural networks
A stochastic-field description of finite-size spiking neural networks
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A stochastic-field description of finite-size spiking neural networks

Dumont, Grégory ; Payeur, Alexandre ; Longtin, André Ermentrout, Bard

PLoS computational biology, 2017-08, Vol.13 (8), p.e1005691-e1005691 [Periódico revisado por pares]

United States: Public Library of Science

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A framework for macroscopic phase-resetting curves for generalised spiking neural networks
A framework for macroscopic phase-resetting curves for generalised spiking neural networks
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A framework for macroscopic phase-resetting curves for generalised spiking neural networks

Dumont, Grégory ; Pérez-Cervera, Alberto ; Gutkin, Boris Rubin, Jonathan

PLoS computational biology, 2022-08, Vol.18 (8), p.e1010363-e1010363 [Periódico revisado por pares]

San Francisco: Public Library of Science

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4
Oscillations in a Fully Connected Network of Leaky Integrate-and-Fire Neurons with a Poisson Spiking Mechanism
Oscillations in a Fully Connected Network of Leaky Integrate-and-Fire Neurons with a Poisson Spiking Mechanism
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Oscillations in a Fully Connected Network of Leaky Integrate-and-Fire Neurons with a Poisson Spiking Mechanism

Dumont, Grégory ; Henry, Jacques ; Tarniceriu, Carmen Oana

Journal of nonlinear science, 2024-02, Vol.34 (1), Article 18 [Periódico revisado por pares]

New York: Springer US

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5
Phase response approaches to neural activity models with distributed delay
Phase response approaches to neural activity models with distributed delay
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Phase response approaches to neural activity models with distributed delay

Winkler, Marius ; Dumont, Grégory ; Schöll, Eckehard ; Gutkin, Boris

Biological cybernetics, 2022-04, Vol.116 (2), p.191-203 [Periódico revisado por pares]

Berlin/Heidelberg: Springer Berlin Heidelberg

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6
Is There a Nonadditive Interaction Between Spontaneous and Evoked Activity? Phase-Dependence and Its Relation to the Temporal Structure of Scale-Free Brain Activity
Is There a Nonadditive Interaction Between Spontaneous and Evoked Activity? Phase-Dependence and Its Relation to the Temporal Structure of Scale-Free Brain Activity
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Is There a Nonadditive Interaction Between Spontaneous and Evoked Activity? Phase-Dependence and Its Relation to the Temporal Structure of Scale-Free Brain Activity

Huang, Zirui ; Zhang, Jianfeng ; Longtin, André ; Dumont, Grégory ; Duncan, Niall W ; Pokorny, Johanna ; Qin, Pengmin ; Dai, Rui ; Ferri, Francesca ; Weng, Xuchu ; Northoff, Georg

Cerebral cortex (New York, N.Y. 1991), 2017-02, Vol.27 (2), p.1037-1059 [Periódico revisado por pares]

United States

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7
Theoretical connections between mathematical neuronal models corresponding to different expressions of noise
Theoretical connections between mathematical neuronal models corresponding to different expressions of noise
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Theoretical connections between mathematical neuronal models corresponding to different expressions of noise

Dumont, Grégory ; Henry, Jacques ; Tarniceriu, Carmen Oana

Journal of theoretical biology, 2016-10, Vol.406, p.31-41 [Periódico revisado por pares]

England: Elsevier Ltd

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8
Synchronization of an Excitatory Integrate-and-Fire Neural Network
Synchronization of an Excitatory Integrate-and-Fire Neural Network
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Synchronization of an Excitatory Integrate-and-Fire Neural Network

Dumont, Grégory ; Henry, Jacques

Bulletin of mathematical biology, 2013-04, Vol.75 (4), p.629-648 [Periódico revisado por pares]

New York: Springer-Verlag

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9
Population density models of integrate-and-fire neurons with jumps: well-posedness
Population density models of integrate-and-fire neurons with jumps: well-posedness
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Population density models of integrate-and-fire neurons with jumps: well-posedness

Dumont, Grégory ; Henry, Jacques

Journal of mathematical biology, 2013-09, Vol.67 (3), p.453-481 [Periódico revisado por pares]

Berlin/Heidelberg: Springer Berlin Heidelberg

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10
Macroscopic phase resetting-curves determine oscillatory coherence and signal transfer in inter-coupled neural circuits
Macroscopic phase resetting-curves determine oscillatory coherence and signal transfer in inter-coupled neural circuits
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Macroscopic phase resetting-curves determine oscillatory coherence and signal transfer in inter-coupled neural circuits

Dumont, Grégory ; Gutkin, Boris Marinazzo, Daniele

PLoS computational biology, 2019-05, Vol.15 (5), p.e1007019-e1007019 [Periódico revisado por pares]

United States: Public Library of Science

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