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hal-01079381v1  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⟩
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hal-00874746v1  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⟩
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hal-01541093v1  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⟩
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hal-00871609v1  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⟩
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hal-03324280v3  Preprints, Working Papers, ...
Nicolás Torres, Benoît Perthame, Delphine Salort. A multiple time renewal equation for neural assemblies with elapsed time model
2021
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hal-02431772v1  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⟩
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tel-03510733v1  Theses
Nicolas Torres. Asymptotic behavior of solutions of the elapsed time model for neural assemblies
Mathematics [math]. Sorbonne Universite, 2021. English
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hal-02508412v2  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-01241300v1  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⟩
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hal-03157218v2  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
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hal-03172021v1  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⟩
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hal-01313404v2  Preprints, Working Papers, ...
Roman Andreev. Learning stochastic eigenvalues
2016
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hal-01054561v1  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⟩
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inserm-00732288v1  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⟩
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hal-03586715v1  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