R. Veltz. A mean-field model of two-dimensional nonlinear integrate-and-fire neurons. November 2023.
S. Habiib and R. Veltz. Theoretical / numerical study of modulated traveling pulses in inhibition stabilized networks. October 2023.
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, August 2023.
R. Veltz. Theoretical / numerical study of modulated traveling pulses in inhibition stabilized networks. Paris NFW 23, June 2023.
R. Veltz. Study of a mean field of a network of 2d spiking neurons. One world dynamics, May 2023.
M. Chafaï, A. Delrocq, P. Inquimbert, L. Pidoux, K. Delanoe, M. Toft, F. Brau, E. Lingueglia, R. Veltz, and E. Deval. Dual contribution of ASIC1a channels in the spinal processing of pain information by deep projection neurons revealed by computational modeling. PLOS Computational Biology, volume 19, issue 4, April 2023.
R. Veltz. Theoritical study of a mean-field model of two-dimensional nonlinear integrate-and-fire neurons. ANR Chamane, March 2023.
R. Veltz. Theoretical / numerical study of modulated traveling pulses in inhibition stabilized networks. IHP Paris, March 2023.
R. Veltz. Towards calculating bifurcations for networks of AdEx mean-field models with delays. Seminar A. Destexhe, January 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, January 2022.
R. Veltz. Présentation de BifurcationKit. Journée Julia (CNRS), January 2022.
O. Faugeras, A. Song, and R. Veltz. Spatial and color hallucinations in a mathematical model of primary visual cortex. CRAS, January 2022.
N. Vattuone. Limit models of stochastic spiking neural networks. postdoc (HBP), 2022.
S. Habib. Study of fronts dynamic in neural field equations. Master 2, September 2021.
A. Delrocq. Machine learning of SNN. Master 2, co-supervised with H. Marie, September 2021.
O. D. Faugeras, A. Song, and R. Veltz. Spatial and color hallucinations in a mathematical model of primary visual cortex. August 2021.
R. Veltz. BifurcationKit.jl: bifurcation analysis of large scale systems. JuliaCon21 invited talk., July 2021.
R. Veltz. Some recent results on a mean field of a network of spiking neurons. LJAD, invited., June 2021.
R. Veltz. Café calcul - Julia. Invited by Pierre Navaro, June 2021.
R. Veltz. Automatic numerical bifurcation analysis using BifurcationKit. SIAM DS21, Invited talk, May 2021.
R. Veltz. Mean field Models of noisy spiking neurons and BifurcationKit. Invited talk, University of Cologne, March 2021.
R. Veltz. Automatic numerical bifurcation analysis with applications to neurosciences using BifurcationKit. SIAM CSE21, Invited talk, March 2021.
R. Veltz. Mean field Models of noisy spiking neurons. Colloqium MAP5, Invited talk, January 2021.
N. Fricker. Simplifying a model of synaptic plasticity, Master 1, co-supervised with H. Marie. 2021.
R. Veltz. Mean field study of stochastic spiking neural networks. CMS Winter Meeting, Invited talk, December 2020.
D. Otti, V. Romain, D. Axel, M. Francesco, and B. Stephane. Canard resonance: on noise-induced ordering of canard trajectories in heterogeneous networks of slow-fast systems. Journal of Physics: Photonics, September 2020.
Q. Cormier, E. Tanré, and R. Veltz. Hopf bifurcation in a Mean-Field model of spiking neurons. August 2020.
R. Veltz. BifurcationKit.jl. Inria Sophia-Antipolis, July 2020.
A. Drogoul and R. Veltz. Exponential stability of the stationary distribution of a mean field of spiking neural network. Journal of Differential Equations, July 2020.
A. Dolcemascolo, A. Miazek, R. Veltz, F. Marino, and S. Barland. Effective low-dimensional dynamics of a mean-field coupled network of slow-fast spiking lasers. Phys. Rev. E, American Physical Society, volume 101, May 2020.
D. Avitabile, M. Desroches, R. Veltz, and M. Wechselberger. Local theory for spatio-temporal canards and delayed bifurcations. SIAM Journal on Mathematical Analysis, SIAM, volume 52, issue 6, 2020.
Q. Cormier, E. Tanré, and R. Veltz. Long time behavior of a mean-field model of interacting neurons. Stochastic Processes and their Applications, July 2019.
B. Aymard, F. Campillo, and R. Veltz. Mean-field limit of interacting 2D nonlinear stochastic spiking neurons. arXiv e-prints, June 2019.
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, May 2019.
A. Song, O. Faugeras, and R. Veltz. A neural field model for color perception unifying assimilation and contrast. PLOS Computational Biology, April 2019.
R. Veltz. Analysis of a mean field of 2d spiking neurons, theory and numerics. International Meeting UK-France Programme, Royal Society, February 2019.
A. Delrocq. Models of WDR neurons in dorsal horn. Master 1, co-supervised with E. Deval, 2019.
S. Ebert. Dynamical synapses in the retina. Master 1, co-supervised with B. Cessac, 2019.
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, volume 45, issue 3, December 2018.
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, American Physical Society, volume 98, December 2018.
R. Veltz. Models of neurons interacting through nonlinear dendritic compartments. Seminaire LJAD, October 2018.
R. Veltz. On a toy network of neurons interacting through nonlinear dendritic compartments. jmgambaudo60, invited talk, June 2018.
R. Veltz. On a toy network of neurons interacting through nonlinear dendritic compartments. ICMNS 2018, invited talk., June 2018.
Y. Rodrigues. Study of plasticity laws in pathological conditions. PhD, co-supervised with H.Marie, March 2018.
R. Veltz. On a toy network of neurons interacting through nonlinear dendritic compartments. Mean-field approaches to the dynamics of neuronal networks, EITN, January 2018.
R. Veltz. Invariants manifolds in mathematical neurosciences. Winter School, Toulouse., December 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, December 2017.
Q. Cormier. Study of mean field models of spiking neural networks. PhD, co-supervised with E.Tanré, September 2017.
B. Aymard. Dynamics of mean field equations for neural networks. Postdoc, 2 years from, September 2017.
Q. Cormier. Study of a mean field model of spiking neural network. Master 2, ENS Lyon, co-supervised with E.Tanré, May 2017.
R. Veltz. Hopf bifurcation in the mean field of a stochastic spiking neural networks. EITN - Paris, February 2017.
R. Veltz. Oscillatory dynamics in a stochastic spiking neural network. BANFF: Brain Dynamics and Statistics, Alberta Canada, February 2017.
R. Veltz. Study of a mean field model stemming from a neural network. Gdr NonLocal, Toulouse, January 2017.
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, volume 27, issue 2, 2017.
P. Helson. Study of plasticity laws. PhD, co-supervised with E.Tanré, September 2016.
R. Veltz. Some applications of hybrid systems in neurosciences. University of Bristol, April 2016.
R. Forquet. Modelling of synaptic plasticity. Master 1, co-supervised with H. Marie, 2016.
C. Baron. Modelling of synaptic plasticity. Master 1, co-supervised with H. Marie, 2016.
R. Veltz and T. J. Sejnowski. Periodic Forcing of Inhibition-Stabilized Networks: Nonlinear Resonances and Phase-Amplitude Coupling. Neural Computation, MIT Press, INRIA Sophia Antipolis, volume 27, issue 12, pages 2477-2509, December 2015.
Q. Cormier. Study of plasticity laws. Master 1, ENS Lyon, co-supervised with E.Tanré, September 2015.
R. Veltz. How somatic spikes are influenced by nonlinear active dendrites. ICMNS, plenary talk., June 2015.
R. Evangelista. A stochastic model of gamma phase modulated orientation selectivity. Undergraduate, May 2015.
R. Veltz. A new twist for the simulation of hybrid systems using the true jump method. arXiv [math], April 2015.
R. Veltz. On the effects of the pinwheel network symmetries on cortical response. NicePhysicsDays (Nice), January 2015.
R. Veltz and O. Faugeras. ERRATUM: A Center Manifold Result for Delayed Neural Fields Equations. SIAM Journal on Mathematical Analysis, volume 47, issue 2, 2015.
A. Dolcemascolo. Semiconductor laser for modelling and controlling spiking cells and networks. co-spervised with S. Barland. Defended on 14/12/18, 2015.
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), Springer Berlin Heidelberg, volume 5, issue 1, 2015.
S. Almeida. Simulation of PDMP. Undergraduate, November 2014.
A. Drogoul. Dynamics of mean field equations for neural networks. Postdoc, 2 years from, October 2014.
A. Razetti. Simulation of PDMP. Undergraduate, October 2014.
R. Veltz. On the effects of the pinwheel network symmetries on cortical response. Geometrical Models in Vision, IHP, PARIS, October 2014.
J. Zhuang. Computation of periodic orbits of DDEs. Master thesis, July 2014.
R. Veltz. Dynamics induced by long-range connections in the primary visual cortex. AIMS Conference (Madrid), July 2014.
R.Veltz. Neural field models of cortical areas : a dynamical system viewpoint. IFCAM (India), July 2014.
R. Veltz. Two examples of temporal rhythms generated by neural mass/field equations. Centre for Math. Medicine and Biology, University of Nottingham, October 2013.
R. Veltz. Invariant tori coming from the interplay between synaptic delays and propagation delays. CNS Paris, July 2013.
R. Veltz. Interplay between synaptic delays and propagation delays in neural fields equations. Mathemacs Meeting, May 2013.
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, Springer, volume 34, issue 1, 2013.
R. Veltz and O. Faugeras. A center manifold result for delayed neural fields equations. SIAM Journal on Mathematical Analysis, SIAM, volume 45, issue 3, 2013.
J. M. Cortes, M. Desroches, S. Rodrigues, R. Veltz, M. A. Munoz, and T. J. Sejnowski. Short-term synaptic plasticity in the deterministic Tsodyks-Markram model leads to unpredictable network dynamics. Proceedings of the National Academy of Sciences, National Acad Sciences, volume 110, issue 41, 2013.
R. Veltz. Interplay between synaptic delays and propagation delays in neural field equations. SIAM Journal on Applied Dynamical Systems, SIAM, volume 12, issue 3, 2013.
R. Veltz. Study of a particular working regime for a simple model of V1. GDR Vision (Marseille), December 2011.
R. Veltz and O. Faugeras. Stability of the stationary solutions of neural field equations with propagation delays. The Journal of Mathematical Neuroscience (JMN), Springer, volume 1, issue 1, 2011.
R. Veltz. An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays. Comptes Rendus Mathematique, Elsevier, volume 349, issue 13, 2011.
R. Veltz and O. Faugeras. Local/global analysis of the stationary solutions of some neural field equations. SIAM Journal on Applied Dynamical Systems, SIAM, volume 9, issue 3, 2010.
R. Veltz and O. Faugeras. Illusions in the ring model of visual orientation selectivity. arXiv preprint arXiv:1007.2493, 2010.
O. Faugeras, R. Veltz, and F. Grimbert. Persistent neural states: stationary localized activity patterns in nonlinear continuous n-population, q-dimensional neural networks. Neural computation, MIT Press, volume 21, issue 1, 2009.
M. Clerc, R. Veltz, D. Guiraud, J. L. Divoux, and others. The 3d potential induced by functional electrical stimulation with multi-contact cuff electrodes: simulation and validation. International Functional Electrical Stimulation Society Conference, volume 400, 2008.