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Laboratoire Jacques-Louis Lions
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Laboratoire Jacques-Louis Lions
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Biologie Computationnelle et Quantitative = Laboratory of Computational and Quantitative Biology
(9)
Inria Paris-Rocquencourt
(6)
Inria de Paris
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Institut Jacques Monod
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Beijing International Center for Mathematical Research
(1)
CEntre de REcherches en MAthématiques de la DEcision
(1)
Centre interdisciplinaire de recherche en biologie
(1)
Departamento de Matematica Aplicada [Granada]
(1)
Department of Mathematics [Imperial College London]
(1)
INRIA Rocquencourt
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Meiji Institute for Advanced Study of Mathematical Sciences
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Optimal control
(72)
Homogenization
(53)
Asymptotic analysis
(45)
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(42)
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(39)
Finite element method
(37)
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(37)
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(32)
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(31)
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(31)
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(30)
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hal-01079381
v1
Journal articles
José Carrillo
,
Benoît Perthame
,
Delphine Salort
,
Didier Smets
.
Qualitative Properties of Solutions for the Noisy Integrate & Fire model in Computational Neuroscience
Nonlinearity
, IOP Publishing, 2015, 28 (9), pp.3365
⟨10.1088/0951-7715/28/9/3365⟩
hal-00874746
v1
Journal articles
Maria J. Caceres
,
Benoît Perthame
.
Beyond blow-up in excitatory integrate and fire neuronal networks: refractory period and spontaneous activity
Journal of Theoretical Biology
, Elsevier, 2014, 350, pp.81-89.
⟨10.1016/j.jtbi.2014.02.005⟩
hal-01541093
v1
Journal articles
Benoît Perthame
,
Delphine Salort
,
Gilles Wainrib
.
Distributed synaptic weights in a LIF neural network and learning rules
Physica D: Nonlinear Phenomena
, Elsevier, 2017, 353-354, pp.20-30.
⟨10.1016/j.physd.2017.05.005⟩
hal-00871609
v1
Journal articles
Benoît Perthame
,
Delphine Salort
.
On a voltage-conductance kinetic system for integrate and fire neural networks
Kinetic and Related Models
, AIMS, 2013, 6 (4), pp.841-864.
⟨10.3934/krm.2013.6.841⟩
hal-03324280
v3
Preprints, Working Papers, ...
Nicolás Torres
,
Benoît Perthame
,
Delphine Salort
.
A multiple time renewal equation for neural assemblies with elapsed time model
2021
hal-02431772
v1
Journal articles
Benoît Perthame
,
Delphine Salort
.
Derivation of a voltage density equation from a voltage-conductance kinetic model for networks of integrate-and-fire neurons
Communications in Mathematical Sciences
, International Press, 2019, 17 (5), pp.1193-1211.
⟨10.4310/CMS.2019.v17.n5.a2⟩
tel-03510733
v1
Theses
Nicolas Torres
.
Asymptotic behavior of solutions of the elapsed time model for neural assemblies
Mathematics [math]. Sorbonne Universite, 2021. English
hal-02508412
v2
Preprints, Working Papers, ...
Pierre Roux
,
Delphine Salort
.
Towards a further understanding of the dynamics in NNLIF models: blow-up, global existence and coupled networks.
2021
hal-01241300
v1
Journal articles
Moon-Jin Kang
,
Benoît Perthame
,
Delphine Salort
.
Dynamics of time elapsed inhomogeneous neuron network model
Comptes Rendus. Mathématique
, Académie des sciences (Paris), 2015, pp.1111-1115.
⟨10.1016/j.crma.2015.09.029⟩
hal-03157218
v2
Preprints, Working Papers, ...
Kota Ikeda
,
Pierre Roux
,
Delphine Salort
,
Didier Smets
.
Theoretical study of the emergence of periodic solutions for the inhibitory NNLIF neuron model with synaptic delay
2022
hal-03172021
v1
Journal articles
Maria J. Caceres
,
Benoît Perthame
,
Delphine Salort
,
Nicolas Torres
.
An elapsed time model for strongly coupled inhibitory and excitatory neural networks
Physica D: Nonlinear Phenomena
, Elsevier, 2021,
⟨10.1016/j.physd.2021.132977⟩
hal-01313404
v2
Preprints, Working Papers, ...
Roman Andreev
.
Learning stochastic eigenvalues
2016
hal-01054561
v1
Journal articles
Khashayar Pakdaman
,
Benoît Perthame
,
Delphine Salort
.
Adaptation and Fatigue Model for Neuron Networks and Large Time Asymptotics in a Nonlinear Fragmentation Equation
Journal of Mathematical Neuroscience
, BioMed Central, 2014, 4 (1), pp.14.
⟨10.1186/2190-8567-4-14⟩
inserm-00732288
v1
Journal articles
Javier Baladron
,
Diego Fasoli
,
Olivier Faugeras
,
Jonathan Touboul
.
Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons.
Journal of Mathematical Neuroscience
, BioMed Central, 2012, 2 (1), pp.10.
⟨10.1186/2190-8567-2-10⟩
hal-03586715
v1
Preprints, Working Papers, ...
Xu'An Dou
,
Benoît Perthame
,
Delphine Salort
,
Zhennan Zhou
.
Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience
2022
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