Romain Veltz

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Documents

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Publications

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
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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
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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 Delanoe et al.

PLoS Computational Biology, 2023, 19 (4), pp.e1010993. ⟨10.1371/journal.pcbi.1010993⟩

Article dans une revue hal-04077155v1
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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
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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
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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
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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
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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
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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. Goldman et 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
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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
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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
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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

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. Muñoz et al.

Proceedings of the National Academy of Sciences of the United States of America, 2013

Article dans une revue hal-00857699v1

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 Munoz et 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

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
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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

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
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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
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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
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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
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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
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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
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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 Delanoe et al.

2023

Pré-publication, Document de travail hal-03449940v2
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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
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Applications of jump processes to neuroscience

Romain Veltz

Mathematics [math]. Université Côte d’Azur, 2024

HDR tel-04892967v1