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Romain VELTZ
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Dendritic spines (Yuste)
PO map
Brainbow (Tamily Weissmann)
C4 proteins (McCarroll Lab)
Collaborators
S. Barland
P. Chossat
O. Faugeras
H. Marie
C. O'Donnell
T. O’Leary
T. Sejnowski
Publication list also available on
Google scholar
.
Papers 
Talks

Students
Plain text
,
RIS
,
BibTex
M. Chafaï
,
A. Delrocq
,
P. Inquimbert
,
L. Pidoux
,
K. Delanoe
,
E. Lingueglia
,
R. Veltz
, and
E. Deval
Involvement of ASIC1a channels in the spinal processing of pain information by deep projection neurons
Accepted in Plos Computational Biology, 2023
(
www
),
Bibtex
Y. E. Rodrigues
,
H. Marie
,
C. O’Donnell
, and
R. Veltz
A stochastic model of hippocampal synaptic plasticity with geometrical readout of enzyme dynamics
Elife, 2023
(
www
),
github
,
Bibtex
R. Veltz
A meanfield model of twodimensional nonlinear integrateandfire neurons
2022
Bibtex
S. Habiib
and
R. Veltz
Theoretical / numerical study of modulated traveling pulses in inhibition stabilized networks
2022
Bibtex
O. Faugeras
,
A. Song
, and
R. Veltz
Spatial and color hallucinations in a mathematical model of primary visual cortex
CRAS, 2022
(
www
),
arxiv
,
Bibtex
>
D. Otti
,
V. Romain
,
D. Axel
,
M. Francesco
, and
B. Stephane
Canard resonance: on noiseinduced ordering of canard trajectories in heterogeneous networks of slowfast systems
Journal of Physics: Photonics, 2020
Bibtex
Q. Cormier
,
E. Tanré
, and
R. Veltz
Hopf bifurcation in a MeanField model of spiking neurons
2020
Arxiv
,
Bibtex
R. Veltz
BifurcationKit.jl
Inria SophiaAntipolis, 2020
pseudoarclengthcontinuation
periodicorbits
floquet
gpu
bifurcationdiagram
deflation
newtonkrylov
(
www
),
Bibtex
A. Drogoul
and
R. Veltz
Exponential stability of the stationary distribution of a mean field of spiking neural network
Journal of Differential Equations, 2020
(
www
),
HalINRIA
,
Bibtex
A. Dolcemascolo
,
A. Miazek
,
R. Veltz
,
F. Marino
, and
S. Barland
Effective lowdimensional dynamics of a meanfield coupled network of slowfast spiking lasers
Phys. Rev. E,
101
, 2020
(
www
),
Bibtex
D. Avitabile
,
M. Desroches
,
R. Veltz
, and
M. Wechselberger
Local theory for spatiotemporal canards and delayed bifurcations
SIAM Journal on Mathematical Analysis,
52
(6), 2020
Bibtex
Q. Cormier
,
E. Tanré
, and
R. Veltz
Long time behavior of a meanfield model of interacting neurons
Stochastic Processes and their Applications, 2019
mathematics  probability
(
www
),
Arxiv
,
Bibtex
B. Aymard
,
F. Campillo
, and
R. Veltz
Meanfield limit of interacting 2D nonlinear stochastic spiking neurons
arXiv eprints, 2019
mathematics  numerical analysis
Arxiv
,
Bibtex
N. Fournier
,
E. Tanré
, and
R. Veltz
On a toy network of neurons interacting through their dendrites
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2019
(
www
),
Arxiv
,
Bibtex
A. Song
,
O. Faugeras
, and
R. Veltz
A neural field model for color perception unifying assimilation and contrast
PLOS Computational Biology, 2019
(
www
),
Bibtex
T. Górski
,
R. Veltz
,
M. Galtier
,
H. Fragnaud
,
J. S. Goldman
,
B. Teleńczuk
, and
A. Destexhe
Dendritic sodium spikes endow neurons with inverse firing rate response to correlated synaptic activity
Journal of Computational Neuroscience,
45
(3), 2018
(
www
),
Bibtex
A. Dolcemascolo
,
B. Garbin
,
B. Peyce
,
R. Veltz
, and
S. Barland
Resonator neuron and triggering multipulse excitability in laser with injected signal
Phys. Rev. E,
98
, 2018
(
www
),
Bibtex
A. Drogoul
and
R. Veltz
Hopf bifurcation in a nonlocal nonlinear transport equation stemming from stochastic neural dynamics
Chaos: An Interdisciplinary Journal of Nonlinear Science,
27
(2), 2017
(
www
),
Bibtex
>
R. Veltz
and
T. J. Sejnowski
Periodic Forcing of InhibitionStabilized Networks: Nonlinear Resonances and PhaseAmplitude Coupling
Neural Computation,
27
(12), 24772509, 2015
oscillation
gamma band
theta band
(
www
),
PDF
,
Bibtex
R. Veltz
A new twist for the simulation of hybrid systems using the true jump method
arXiv [math], 2015
mathematics  numerical analysis
(
www
),
Bibtex
R. Veltz
and
O. Faugeras
ERRATUM: A Center Manifold Result for Delayed Neural Fields Equations
SIAM Journal on Mathematical Analysis,
47
(2), 2015
(
www
),
Bibtex
R. Veltz
,
P. Chossat
, and
O. Faugeras
On the Effects on Cortical Spontaneous Activity of the Symmetries of the Network of Pinwheels in Visual Area V1
The Journal of Mathematical Neuroscience (JMN),
5
(1), 2015
visual hallucinations
invariant torus
poincaré–hopf
(
www
),
Bibtex
>
J. Rankin
,
E. Tlapale
,
R. Veltz
,
O. Faugeras
, and
P. Kornprobst
Bifurcation analysis applied to a model of motion integration with a multistable stimulus
Journal of computational neuroscience,
34
(1), 2013
Bibtex
R. Veltz
and
O. Faugeras
A center manifold result for delayed neural fields equations
SIAM Journal on Mathematical Analysis,
45
(3), 2013
Bibtex
J. M. Cortes
,
M. Desroches
,
S. Rodrigues
,
R. Veltz
,
M. A. Munoz
, and
T. J. Sejnowski
Shortterm synaptic plasticity in the deterministic TsodyksMarkram model leads to unpredictable network dynamics
Proceedings of the National Academy of Sciences,
110
(41), 2013
(
www
),
Bibtex
R. Veltz
Interplay between synaptic delays and propagation delays in neural field equations
SIAM Journal on Applied Dynamical Systems,
12
(3), 2013
(
www
),
Bibtex
R. Veltz
and
O. Faugeras
Stability of the stationary solutions of neural field equations with propagation delays
The Journal of Mathematical Neuroscience (JMN),
1
(1), 2011
(
www
),
Bibtex
R. Veltz
An analytical method for computing Hopf bifurcation curves in neural field networks with spacedependent delays
Comptes Rendus Mathematique,
349
(13), 2011
(
www
),
PDF
,
Bibtex
R. Veltz
and
O. Faugeras
Local/global analysis of the stationary solutions of some neural field equations
SIAM Journal on Applied Dynamical Systems,
9
(3), 2010
Bibtex
R. Veltz
and
O. Faugeras
Illusions in the ring model of visual orientation selectivity
arXiv preprint arXiv:1007.2493, 2010
(
www
),
Bibtex
O. Faugeras
,
R. Veltz
, and
F. Grimbert
Persistent neural states: stationary localized activity patterns in nonlinear continuous npopulation, qdimensional neural networks
Neural computation,
21
(1), 2009
(
www
),
PDF
,
Bibtex
M. Clerc
,
R. Veltz
,
D. Guiraud
,
J. L. Divoux
, and
others
The 3d potential induced by functional electrical stimulation with multicontact cuff electrodes: simulation and validation
International Functional Electrical Stimulation Society Conference, 2008
Bibtex
Talks
R. Veltz
Towards calculating bifurcations for networks of AdEx meanfield models with delays
,
Seminar A. Destexhe, 2023
R. Veltz
A Showcase of the New Functionalities of BifurcationKit.jl
,
SIAM CSE23, Invited talk, 2023
R. Veltz
Some recent results on a mean field of a network of 2d spiking neurons
,
Mathematical modeling and statistical analysis in neuroscience, 2022
R. Veltz
Présentation de BifurcationKit
,
Journée Julia (CNRS), 2022
O. D. Faugeras
,
A. Song
, and
R. Veltz
Spatial and color hallucinations in a mathematical model of primary visual cortex
,
2021
R. Veltz
BifurcationKit.jl: bifurcation analysis of large scale systems
,
JuliaCon21 invited talk., 2021
R. Veltz
Some recent results on a mean field of a network of spiking neurons
,
LJAD, invited., 2021
R. Veltz
Café calcul  Julia
,
Invited by Pierre Navaro, 2021
R. Veltz
Automatic numerical bifurcation analysis using BifurcationKit
,
SIAM DS21, Invited talk, 2021
R. Veltz
Mean field Models of noisy spiking neurons and BifurcationKit
,
Invited talk, University of Cologne, 2021
R. Veltz
Automatic numerical bifurcation analysis with applications to neurosciences using BifurcationKit
,
SIAM CSE21, Invited talk, 2021
R. Veltz
Mean field Models of noisy spiking neurons
,
Colloqium MAP5, Invited talk, 2021
R. Veltz
Mean field study of stochastic spiking neural networks
,
CMS Winter Meeting, Invited talk, 2020
R. Veltz
Analysis of a mean field of 2d spiking neurons, theory and numerics
,
International Meeting UKFrance Programme, Royal Society, 2019
R. Veltz
Models of neurons interacting through nonlinear dendritic compartments
,
Seminaire LJAD, 2018
R. Veltz
On a toy network of neurons interacting through nonlinear dendritic compartments
,
jmgambaudo60, invited talk, 2018
R. Veltz
On a toy network of neurons interacting through nonlinear dendritic compartments
,
ICMNS 2018, invited talk., 2018
R. Veltz
On a toy network of neurons interacting through nonlinear dendritic compartments
,
Meanfield approaches to the dynamics of neuronal networks, EITN, 2018
R. Veltz
Invariants manifolds in mathematical neurosciences
,
Winter School, Toulouse., 2017
R. Veltz
On a toy network of neurons interacting through nonlinear dendritic compartments
,
Random Structures on the Brain, Lorentz Center in Leiden, The Netherlands, 2017
R. Veltz
Hopf bifurcation in the mean field of a stochastic spiking neural networks
,
EITN  Paris, 2017
R. Veltz
Oscillatory dynamics in a stochastic spiking neural network
,
BANFF: Brain Dynamics and Statistics, Alberta Canada, 2017
R. Veltz
Study of a mean field model stemming from a neural network
,
Gdr NonLocal, Toulouse, 2017
R. Veltz
Some applications of hybrid systems in neurosciences
,
University of Bristol, 2016
R. Veltz
How somatic spikes are influenced by nonlinear active dendrites
,
ICMNS, plenary talk., 2015
R. Veltz
On the effects of the pinwheel network symmetries on cortical response
,
NicePhysicsDays (Nice), 2015
R. Veltz
On the effects of the pinwheel network symmetries on cortical response
,
Geometrical Models in Vision, IHP, PARIS, 2014
R. Veltz
Dynamics induced by longrange connections in the primary visual cortex
,
AIMS Conference (Madrid), 2014
R.Veltz
Neural field models of cortical areas : a dynamical system viewpoint.
,
IFCAM (India), 2014
R. Veltz
Two examples of temporal rhythms generated by neural mass/field equations
,
Centre for Math. Medicine and Biology, University of Nottingham, 2013
R. Veltz
Invariant tori coming from the interplay between synaptic delays and propagation delays
,
CNS Paris, 2013
R. Veltz
Interplay between synaptic delays and propagation delays in neural fields equations
,
Mathemacs Meeting, 2013
R. Veltz
Study of a particular working regime for a simple model of V1
,
GDR Vision (Marseille), 2011
Students
N. Vattuone
Limit models of stochastic spiking neural networks
,
postdoc (HBP), 2022
S. Habib
Study of fronts dynamic in neural field equations
,
Master 2, 2021
A. Delrocq
Machine learning of SNN
,
Master 2, cosupervised with H. Marie, 2021
N. Fricker
Simplifying a model of synaptic plasticity, Master 1, cosupervised with H. Marie
,
2021
A. Delrocq
Models of WDR neurons in dorsal horn
,
Master 1, cosupervised with E. Deval, 2019
S. Ebert
Dynamical synapses in the retina
,
Master 1, cosupervised with B. Cessac, 2019
Y. Rodrigues
Study of plasticity laws in pathological conditions
,
PhD, cosupervised with H.Marie, 2018
Q. Cormier
Study of mean field models of spiking neural networks
,
PhD, cosupervised with E.Tanré, 2017
B. Aymard
Dynamics of mean field equations for neural networks.
,
Postdoc, 2 years from, 2017
Q. Cormier
Study of a mean field model of spiking neural network
,
Master 2, ENS Lyon, cosupervised with E.Tanré, 2017
P. Helson
Study of plasticity laws
,
PhD, cosupervised with E.Tanré, 2016
R. Forquet
Modelling of synaptic plasticity
,
Master 1, cosupervised with H. Marie, 2016
C. Baron
Modelling of synaptic plasticity
,
Master 1, cosupervised with H. Marie, 2016
Q. Cormier
Study of plasticity laws
,
Master 1, ENS Lyon, cosupervised with E.Tanré, 2015
R. Evangelista
A stochastic model of gamma phase modulated orientation selectivity
,
Undergraduate, 2015
A. Dolcemascolo
Semiconductor laser for modelling and controlling spiking cells and networks
,
cospervised with S. Barland. Defended on 14/12/18, 2015
S. Almeida
Simulation of PDMP
,
Undergraduate, 2014
A. Drogoul
Dynamics of mean field equations for neural networks.
,
Postdoc, 2 years from, 2014
A. Razetti
Simulation of PDMP
,
Undergraduate, 2014
J. Zhuang
Computation of periodic orbits of DDEs
,
Master thesis, 2014
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Recent Posts
Yuri Rodrigues has a PhD!!
Pascal Helson has a PhD!!
Quentin Cormier has a PhD
A. Delrocq got an award!
New PhD thesis defended!