Romain Veltz

Publications

Article dans une revue (27)

Excitable response of a noisy adaptive network of spiking lasers S. Barland,O. d'Huys,Romain Veltz Chaos: An Interdisciplinary Journal of Nonlinear Science, 2024, ⟨10.1063/5.0252964⟩ Article dans une revue hal-04882396v1
A stochastic model of hippocampal synaptic plasticity with geometrical readout of enzyme dynamics Yuri Elias Rodrigues,Cezar Tigaret,Hélène Marie,Cian O'Donnell,Romain Veltz eLife, 2023, 12, ⟨10.7554/eLife.80152⟩ Article dans une revue hal-04275554v1
Dual contribution of ASIC1a channels in the spinal processing of pain information by deep projection neurons revealed by computational modeling Magda Chafaï,Ariane Delrocq,Perrine Inquimbert,Ludivine Pidoux,Kevin Delanoeet al. PLoS Computational Biology, 2023, 19 (4), pp.e1010993. ⟨10.1371/journal.pcbi.1010993⟩ Article dans une revue hal-04077155v1
Spatial and color hallucinations in a mathematical model of primary visual cortex Olivier C Faugeras,Anna Song,Romain Veltz Comptes Rendus. Mathématique, 2022, 360, pp.59-87. ⟨10.5802/crmath.289⟩ Article dans une revue hal-03388400v2
Hopf bifurcation in a Mean-Field model of spiking neurons Quentin Cormier,Etienne Tanré,Romain Veltz Electronic Journal of Probability, 2021, 26, ⟨10.1214/21-EJP688⟩ Article dans une revue hal-02925025v2
On a toy network of neurons interacting through their dendrites Nicolas Fournier,Etienne Tanré,Romain Veltz Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2020, 56 (2), pp.1041-1071. ⟨10.1214/19-AIHP993⟩ Article dans une revue hal-01707663v2
Effective low-dimensional dynamics of a mean-field coupled network of slow-fast spiking lasers Axel Dolcemascolo,Alexandre Miazek,Romain Veltz,Francesco Marino,Stéphane Barland Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 2020, ⟨10.1103/PhysRevE.101.052208⟩ Article dans une revue hal-02402118v1
Effective low-dimensional dynamics of a mean-field coupled network of slow-fast spiking lasers A. Dolcemascolo,A. Miazek,R. Veltz,F. Marino,Stephane Barland Physical Review E , 2020, 101 (5), ⟨10.1103/PhysRevE.101.052208⟩ Article dans une revue hal-03094317v1
Canard resonance: on noise-induced ordering of trajectories in heterogeneous networks of slow-fast systems Otti d'Huys,Romain Veltz,Axel Dolcemascolo,Francesco Marino,Stephane Barland Journal of Physics: Photonics, In press, ⟨10.1088/2515-7647/abcbe3⟩ Article dans une revue hal-03047172v1
Long time behavior of a mean-field model of interacting neurons Quentin Cormier,Etienne Tanré,Romain Veltz Stochastic Processes and their Applications, 2020, 130 (5), pp.2553-2593. ⟨10.1016/j.spa.2019.07.010⟩ Article dans une revue hal-01903857v3
Local theory for spatio-temporal canards and delayed bifurcations Daniele Avitabile,Mathieu Desroches,Romain Veltz,Martin Wechselberger SIAM Journal on Mathematical Analysis, 2020, 52 (6), pp.5703-5747. ⟨10.1137/19M1306610⟩ Article dans une revue hal-02412921v1
A neural field model for color perception unifying assimilation and contrast Anna Song,Olivier Faugeras,Romain Veltz PLoS Computational Biology, 2019, 15 (6), ⟨10.1371/journal.pcbi.1007050⟩ Article dans une revue hal-01909354v1
Exponential stability of the stationary distribution of a mean field of spiking neural network Audric Drogoul,Romain Veltz Journal of Differential Equations, 2018, ⟨10.1016/j.jde.2020.08.001⟩ Article dans une revue hal-01290264v2
Dendritic sodium spikes endow neurons with inverse firing rate response to correlated synaptic activity. Tomasz Gorski,Romain Veltz,Mathieu Galtier,Helissande Fragnaud,Jennifer S. Goldmanet al. Journal of Computational Neuroscience, 2018, 45 (3), pp.223-234. ⟨10.1007/s10827-018-0707-7⟩ Article dans une revue hal-01653178v1
Resonator neuron and triggering multipulse excitability in laser with injected signal Axel Dolcemascolo,Bruno Garbin,Bertrand Peyce,Romain Veltz,Stephane Barland Physical Review E , 2018, ⟨10.1103/PhysRevE.98.062211⟩ Article dans une revue hal-01950511v1
Hopf bifurcation in a nonlocal nonlinear transport equation stemming from stochastic neural dynamics Audric Drogoul,Romain Veltz Chaos: An Interdisciplinary Journal of Nonlinear Science, 2017, ⟨10.1063/1.4976510⟩ Article dans une revue hal-01412154v1
On the effects on cortical spontaneous activity of the symmetries of the network of pinwheels in visual area V1. Romain Veltz,Pascal Chossat,Olivier Faugeras Journal of Mathematical Neuroscience, 2015, ⟨10.1186/s13408-015-0023-8⟩ Article dans une revue hal-01079055v3
Periodic Forcing of Inhibition-Stabilized Networks: Nonlinear Resonances and Phase-Amplitude Coupling Romain Veltz,Terrence J. Sejnowski Neural Computation, 2015, 27 (12), ⟨10.1162/NECO_a_00786⟩ Article dans une revue hal-01096590v2
ERRATUM: A Center Manifold Result for Delayed Neural Fields Equations Romain Veltz,Olivier Faugeras SIAM Journal on Mathematical Analysis, 2015, ⟨10.1137/140962279⟩ Article dans une revue hal-01096598v1
Bifurcation analysis applied to a model of motion integration with a multistable stimulus James Rankin,Emilien Tlapale,Romain Veltz,Olivier Faugeras,Pierre Kornprobst Journal of Computational Neuroscience, 2013, 34 (1), pp.103-124. ⟨10.1007/s10827-012-0409-5⟩ Article dans une revue hal-00845593v1
Short-term synaptic plasticity in the deterministic Tsodyks-Markram model leads to unpredictable network dynamics Jesus M Cortes,Mathieu Desroches,Serafim Rodrigues,Romain Veltz,Miguel A Munozet al. Proceedings of the National Academy of Sciences of the United States of America, 2013, 110 (41), pp.16610-16615 Article dans une revue hal-00936308v1
Interplay Between Synaptic Delays and Propagation Delays in Neural Field Equations Romain Veltz SIAM Journal on Applied Dynamical Systems, 2013, 12 (3), pp.1566-1612. ⟨10.1137/120889253⟩ Article dans une revue hal-00850391v1
Short-term synaptic plasticity in the deterministic Tsodyks-Markram model leads to unpredictable network dynamics Jesus M. Cortes,Mathieu Desroches,Serafim Rodrigues,Romain Veltz,Miguel A. Muñozet al. Proceedings of the National Academy of Sciences of the United States of America, 2013 Article dans une revue hal-00857699v1
A Center Manifold Result for Delayed Neural Fields Equations Romain Veltz,Olivier Faugeras SIAM Journal on Mathematical Analysis, 2013, 45 (3), pp.1527-1562. ⟨10.1137/110856162⟩ Article dans une revue hal-00850382v1
An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays Romain Veltz Comptes Rendus. Mathématique, 2011, 349 (13-14), pp.749--752. ⟨10.1016/j.crma.2011.06.014⟩ Article dans une revue istex hal-00845727v1
Stability of the stationary solutions of neural field equations with propagation delays Romain Veltz,Olivier Faugeras Journal of Mathematical Neuroscience, 2011, 1 (1), pp.1-28. ⟨10.1186/2190-8567-1-1⟩ Article dans une revue hal-00784425v1
Local/Global Analysis of the Stationary Solutions of Some Neural Field Equations Romain Veltz,Olivier Faugeras SIAM Journal on Applied Dynamical Systems, 2010, 9 (3), pp.954-998. ⟨10.1137/090773611⟩ Article dans une revue hal-00712201v1

Communication dans un congrès (6)

A principled mathematical study of the limit of fiber tractography Samuel Deslauriers-Gauthier,Romain Veltz International Society for Tractography Conference - IST 2025, Oct 2025, Bordeaux (France), France Communication dans un congrès hal-05438848v1
GPU tractography: What can we learn from half a trillion streamlines? Yanis Aeschlimann,Samuel Deslauriers-Gauthier,Romain Veltz International Society for Tractography Conference - IST 2025, Oct 2025, Bordeaux (France), France Communication dans un congrès hal-05272265v1
Interplay between constant delays and space dependent delays in neural fields models Romain Veltz,Olivier Faugeras Brainscales General Meeting, Barcelona, 2011, Barcelona, Spain Communication dans un congrès hal-00845744v1
Constraining the design and operation of neural field models from basic principles Olivier Faugeras,Romain Veltz Workshop on Spatio-temporal evolution equations and neural fields, 2011, Marseille, France Communication dans un congrès hal-00845733v1
Bifurcations in neural masses Romain Veltz,Olivier Faugeras Deuxième conférence française de Neurosciences Computationnelles, "Neurocomp08", Oct 2008, Marseille, France Communication dans un congrès hal-00331618v1
The 3D Potential Induced by Functional Electrical Stimulation with Multi-Contact Cuff Electrodes: Simulation and Validation Maureen Clerc,Romain Veltz,David Guiraud,Jean Louis Divoux IFESS: International Functional Electrical Stimulation Society, Sep 2008, Freiburg, Germany Communication dans un congrès lirmm-00344730v1

Poster de conférence (3)

A Finite Volume Framework for Probabilistic Tractography: Solving the Fiber Transport PDE Harshit Harshit,Samuel Deslauriers-Gauthier,Romain Veltz Neuromod meeting, 2025, Jul 2025, Antibes (06), France Poster de conférence hal-05307861v1
A mathematical study of the limit of fiber tractography Romain Veltz,Samuel Deslauriers-Gauthier Neuromod meeting, 2025, Jul 2025, Antibes (06), France Poster de conférence hal-05230305v1
A simple spiking neuron model based on stochastic STDP Pascal Helson,Etienne Tanré,Romain Veltz International Conference on Mathematical Neuroscience, May 2017, Boulder, United States Poster de conférence hal-01652036v1

Pré-publication, Document de travail (10)

Paradoxical pinching effect in probabilistic tractography Samuel Deslauriers-Gauthier,Romain Veltz 2026 Pré-publication, Document de travail hal-05517982v1
Analysis of a mean-field limit of interacting two-dimensional nonlinear integrate-and-fire neurons Romain Veltz 2025 Pré-publication, Document de travail hal-05230257v1
Mean-field analysis of a neural network with stochastic STDP Pascal Helson,Etienne Tanré,Romain Veltz 2025 Pré-publication, Document de travail hal-05316402v1
Theoretical / numerical study of modulated traveling waves in inhibition stabilized networks Safaa Habib,Romain Veltz 2025 Pré-publication, Document de travail hal-04882404v1
Dual contribution of ASIC1a channels in the spinal processing of pain information by deep projection neurons revealed by computational modeling Magda Chafaï,Ariane Delrocq,Perrine Inquimbert,Ludivine Pidoux,Kevin Delanoeet al. 2023 Pré-publication, Document de travail hal-03449940v2
A stochastic model of hippocampal synaptic plasticity with geometrical readout of enzyme dynamics Yuri Rodrigues,Cezar Tigaret,Hélène Marie,Cian O’donnell,Romain Veltz 2021 Pré-publication, Document de travail hal-03259012v1
Mean-field limit of interacting 2D nonlinear stochastic spiking neurons Benjamin Aymard,Fabien Campillo,Romain Veltz 2019 Pré-publication, Document de travail hal-02170948v1
Inverse correlation processing by neurons with active dendrites Romain Veltz 2017 Pré-publication, Document de travail hal-01653166v1
A new twist for the simulation of hybrid systems using the true jump method Romain Veltz 2015 Pré-publication, Document de travail hal-01243615v1
Illusions in the Ring Model of visual orientation selectivity Romain Veltz,Olivier Faugeras 2010 Pré-publication, Document de travail hal-00846138v1

Rapport (4)

Interplay between synaptic delays and propagation delays in neural fields equations Romain Veltz [Research Report] RR-8020, INRIA. 2013, pp.53 Rapport (rapport de recherche) hal-00780444v2
A center manifold result for delayed neural fields equations Romain Veltz,Olivier Faugeras [Research Report] RR-8020, INRIA. 2012 Rapport (rapport de recherche) hal-00719794v2
Bifurcation analysis applied to a model of motion integration with a multistable stimulus James Rankin,Émilien Tlapale,Romain Veltz,Olivier Faugeras,Pierre Kornprobst [Research Report] RR-7822, INRIA. 2011, pp.39 Rapport (rapport de recherche) hal-00646387v2
Persistent neural states: stationary localized activity patterns in nonlinear continuous $n$-population, $q$-dimensional neural networks Olivier Faugeras,Romain Veltz,François Grimbert [Research Report] RR-6393, INRIA. 2007, pp.37 Rapport (rapport de recherche) inria-00198808v3

Thèse (1)

Nonlinear analysis methods in neural field models Romain Veltz Other [cs.OH]. Université Paris-Est, 2011. English. ⟨NNT : 2011PEST1056⟩ Thèse tel-00686695v1

HDR (1)

Applications of jump processes to neuroscience Romain Veltz Mathematics [math]. Université Côte d’Azur, 2024 HDR tel-04892967v1

Logiciel (2)

BifurcationKit.jl Romain Veltz 2020, ⟨swh:1:dir:257669cd4bf202bc8393a4efa22bfe5f6f517b03;origin=https://hal.archives-ouvertes.fr/hal-02902346;visit=swh:1:snp:73c1c5e9525b1b9b09b8a79ca056057fcb26b8a9;anchor=swh:1:rev:31bea805201b64435aa28e4d036e156ab189c3d5;path=/⟩ Logiciel hal-02902346v1
PseudoArcLengthContinuation.jl Romain Veltz 2019, ⟨swh:1:dir:9f85c8f51850028a9fbc03463c74de29a2d24c6c;origin=https://hal.archives-ouvertes.fr/hal-02071874;visit=swh:1:snp:96df3cd8f41a04650ca4e93b2610f839c02d2899;anchor=swh:1:rev:60df0a6859f42cad7170a8560c768ff239190d3a;path=/⟩ Logiciel hal-02071874v1