TY - JOUR T1 - A mean-field model of two-dimensional nonlinear integrate-and-fire neurons AU - Veltz, R. PY - 2023 ER - TY - JOUR T1 - Theoretical / numerical study of modulated traveling pulses in inhibition stabilized networks AU - Habiib, S. AU - Veltz, R. PY - 2023 ER - TY - JOUR T1 - A stochastic model of hippocampal synaptic plasticity with geometrical readout of enzyme dynamics AU - Rodrigues, Y. E. AU - Marie, H. AU - O’Donnell, C. AU - Veltz, R. JO - Elife PY - 2023 UR - https://elifesciences.org/articles/80152 ER - TY - CHAP T1 - Some results concerning a mean field of a network of 2d spiking neurons AU - Veltz, R. JO - Topics on Neuroscience, Collective Migration and Parameter Estimation, Oxford PY - 2023 UR - https://sites.google.com/view/neurocollectiveestimation/home?authuser=0 ER - TY - JOUR T1 - Theoretical / numerical study of modulated traveling pulses in inhibition stabilized networks AU - Veltz, R. JO - Paris NFW 23 PY - 2023 UR - https://nfwparis2023.sciencesconf.org ER - TY - CHAP T1 - Study of a mean field of a network of 2d spiking neurons AU - Veltz, R. JO - One world dynamics PY - 2023 ER - TY - JOUR T1 - Dual contribution of ASIC1a channels in the spinal processing of pain information by deep projection neurons revealed by computational modeling AU - Chafaï, M. AU - Delrocq, A. AU - Inquimbert, P. AU - Pidoux, L. AU - Delanoe, K. AU - Toft, M. AU - Brau, F. AU - Lingueglia, E. AU - Veltz, R. AU - Deval, E. JO - PLOS Computational Biology PY - 2023 VL - 19 IS - 4 M3 - doi:10.1371/journal.pcbi.1010993 UR - https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1010993 N1 - Publisher: Public Library of Science ER - TY - CHAP T1 - Theoritical study of a mean-field model of two-dimensional nonlinear integrate-and-fire neurons AU - Veltz, R. JO - ANR Chamane PY - 2023 ER - TY - JOUR T1 - Theoretical / numerical study of modulated traveling pulses in inhibition stabilized networks AU - Veltz, R. JO - IHP Paris PY - 2023 ER - TY - CHAP T1 - Towards calculating bifurcations for networks of AdEx mean-field models with delays AU - Veltz, R. JO - Seminar A. Destexhe PY - 2023 ER - TY - CHAP T1 - A Showcase of the New Functionalities of BifurcationKit.jl AU - Veltz, R. JO - SIAM CSE23, Invited talk PY - 2023 ER - TY - CHAP T1 - Some recent results on a mean field of a network of 2d spiking neurons AU - Veltz, R. JO - Mathematical modeling and statistical analysis in neuroscience PY - 2022 UR - https://indico.math.cnrs.fr/event/6532/timetable/?view=standard_numbered_inline_minutes ER - TY - CHAP T1 - Présentation de BifurcationKit AU - Veltz, R. JO - Journée Julia (CNRS) PY - 2022 ER - TY - JOUR T1 - Spatial and color hallucinations in a mathematical model of primary visual cortex AU - Faugeras, O. AU - Song, A. AU - Veltz, R. JO - CRAS PY - 2022 M3 - doi:10.5802/crmath.289 UR - https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.289/ ER - TY - JOUR T1 - Snaking of spatially localized visual hallucinations in a model of primary visual cortex AU - Veltz, R. PY - 2021 ER - TY - CHAP T1 - Spatial and color hallucinations in a mathematical model of primary visual cortex AU - Faugeras, O. D. AU - Song, A. AU - Veltz, R. PY - 2021 ER - TY - CHAP T1 - BifurcationKit.jl: bifurcation analysis of large scale systems AU - Veltz, R. JO - JuliaCon21 invited talk. PY - 2021 UR - https://pretalx.com/juliacon2021/talk/RERJWC/ ER - TY - CHAP T1 - Some recent results on a mean field of a network of spiking neurons AU - Veltz, R. JO - LJAD, invited. PY - 2021 ER - TY - CHAP T1 - Café calcul - Julia AU - Veltz, R. JO - Invited by Pierre Navaro PY - 2021 ER - TY - CHAP T1 - Automatic numerical bifurcation analysis using BifurcationKit AU - Veltz, R. JO - SIAM DS21, Invited talk PY - 2021 ER - TY - CHAP T1 - Mean field Models of noisy spiking neurons and BifurcationKit AU - Veltz, R. JO - Invited talk, University of Cologne PY - 2021 ER - TY - CHAP T1 - Automatic numerical bifurcation analysis with applications to neurosciences using BifurcationKit AU - Veltz, R. JO - SIAM CSE21, Invited talk PY - 2021 UR - https://www.siam.org/conferences/cm/conference/cse21 ER - TY - CHAP T1 - Mean field Models of noisy spiking neurons AU - Veltz, R. JO - Colloqium MAP5, Invited talk PY - 2021 ER - TY - JOUR T1 - Invariant manifolds in singular perturbation problems for infinite dimensional dynamical systems AU - Veltz, R. PY - 2021 ER - TY - CHAP T1 - Mean field study of stochastic spiking neural networks AU - Veltz, R. JO - CMS Winter Meeting, Invited talk PY - 2020 ER - TY - JOUR T1 - Hopf bifurcation in a Mean-Field model of spiking neurons AU - Cormier, Q. AU - Tanré, E. AU - Veltz, R. PY - 2020 ER - TY - GEN T1 - BifurcationKit.jl AU - Veltz, R. PY - 2020 PB - Inria Sophia-Antipolis UR - https://hal.archives-ouvertes.fr/hal-02902346 ER - TY - JOUR T1 - Exponential stability of the stationary distribution of a mean field of spiking neural network AU - Drogoul, A. AU - Veltz, R. JO - Journal of Differential Equations PY - 2020 M3 - doi:10.1016/j.jde.2020.08.001 UR - https://www.sciencedirect.com/science/article/pii/S0022039620304459 ER - TY - JOUR T1 - Effective low-dimensional dynamics of a mean-field coupled network of slow-fast spiking lasers AU - Dolcemascolo, A. AU - Miazek, A. AU - Veltz, R. AU - Marino, F. AU - Barland, S. JO - Phys. Rev. E PY - 2020 PB - American Physical Society VL - 101 M3 - doi:10.1103/PhysRevE.101.052208 UR - https://link.aps.org/doi/10.1103/PhysRevE.101.052208 ER - TY - JOUR T1 - Local theory for spatio-temporal canards and delayed bifurcations AU - Avitabile, D. AU - Desroches, M. AU - Veltz, R. AU - Wechselberger, M. JO - SIAM Journal on Mathematical Analysis PY - 2020 PB - SIAM VL - 52 IS - 6 ER - TY - JOUR T1 - Long time behavior of a mean-field model of interacting neurons AU - Cormier, Q. AU - Tanré, E. AU - Veltz, R. JO - Stochastic Processes and their Applications PY - 2019 M3 - doi:10.1016/j.spa.2019.07.010 UR - https://www.sciencedirect.com/science/article/abs/pii/S0304414918306574?via%3Dihub ER - TY - JOUR T1 - Mean-field limit of interacting 2D nonlinear stochastic spiking neurons AU - Aymard, B. AU - Campillo, F. AU - Veltz, R. JO - arXiv e-prints PY - 2019 ER - TY - JOUR T1 - On a toy network of neurons interacting through their dendrites AU - Fournier, N. AU - Tanré, E. AU - Veltz, R. JO - Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques PY - 2019 UR - https://arxiv.org/abs/1802.04118 ER - TY - JOUR T1 - A neural field model for color perception unifying assimilation and contrast AU - Song, A. AU - Faugeras, O. AU - Veltz, R. JO - PLOS Computational Biology PY - 2019 UR - https://arxiv.org/abs/1810.12898 ER - TY - CHAP T1 - Analysis of a mean field of 2d spiking neurons, theory and numerics AU - Veltz, R. JO - International Meeting UK-France Programme, Royal Society PY - 2019 ER - TY - JOUR T1 - Dendritic sodium spikes endow neurons with inverse firing rate response to correlated synaptic activity AU - Górski, T. AU - Veltz, R. AU - Galtier, M. AU - Fragnaud, H. AU - Goldman, J. S. AU - Teleńczuk, B. AU - Destexhe, A. JO - Journal of Computational Neuroscience PY - 2018 VL - 45 IS - 3 M3 - doi:10.1007/s10827-018-0707-7 UR - https://doi.org/10.1007/s10827-018-0707-7 ER - TY - JOUR T1 - Resonator neuron and triggering multipulse excitability in laser with injected signal AU - Dolcemascolo, A. AU - Garbin, B. AU - Peyce, B. AU - Veltz, R. AU - Barland, S. JO - Phys. Rev. E PY - 2018 PB - American Physical Society VL - 98 M3 - doi:10.1103/PhysRevE.98.062211 UR - https://link.aps.org/doi/10.1103/PhysRevE.98.062211 ER - TY - CHAP T1 - Models of neurons interacting through nonlinear dendritic compartments AU - Veltz, R. JO - Seminaire LJAD PY - 2018 ER - TY - CHAP T1 - On a toy network of neurons interacting through nonlinear dendritic compartments AU - Veltz, R. JO - jmgambaudo60, invited talk PY - 2018 ER - TY - CHAP T1 - On a toy network of neurons interacting through nonlinear dendritic compartments AU - Veltz, R. JO - ICMNS 2018, invited talk. PY - 2018 ER - TY - CHAP T1 - On a toy network of neurons interacting through nonlinear dendritic compartments AU - Veltz, R. JO - Mean-field approaches to the dynamics of neuronal networks, EITN PY - 2018 ER - TY - CHAP T1 - Invariants manifolds in mathematical neurosciences AU - Veltz, R. JO - Winter School, Toulouse. PY - 2017 UR - http://www.cimi.univ-toulouse.fr/mib/en/School-DSMN ER - TY - CHAP T1 - On a toy network of neurons interacting through nonlinear dendritic compartments AU - Veltz, R. JO - Random Structures on the Brain, Lorentz Center in Leiden, The Netherlands PY - 2017 UR - https://www.lorentzcenter.nl/lc/web/2017/933/info.php3?wsid=933 ER - TY - CHAP T1 - Hopf bifurcation in the mean field of a stochastic spiking neural networks AU - Veltz, R. JO - EITN - Paris PY - 2017 ER - TY - CHAP T1 - Oscillatory dynamics in a stochastic spiking neural network AU - Veltz, R. JO - BANFF: Brain Dynamics and Statistics, Alberta Canada PY - 2017 UR - http://www.birs.ca/events/2017/5-day-workshops/17w5036 ER - TY - CHAP T1 - Study of a mean field model stemming from a neural network AU - Veltz, R. JO - Gdr NonLocal, Toulouse PY - 2017 ER - TY - JOUR T1 - Hopf bifurcation in a nonlocal nonlinear transport equation stemming from stochastic neural dynamics AU - Drogoul, A. AU - Veltz, R. JO - Chaos: An Interdisciplinary Journal of Nonlinear Science PY - 2017 VL - 27 IS - 2 M3 - doi:10.1063/1.4976510 UR - http://aip.scitation.org/doi/abs/10.1063/1.4976510 ER - TY - CHAP T1 - Some applications of hybrid systems in neurosciences AU - Veltz, R. JO - University of Bristol PY - 2016 ER - TY - JOUR T1 - Periodic Forcing of Inhibition-Stabilized Networks: Nonlinear Resonances and Phase-Amplitude Coupling AU - Veltz, R. AU - Sejnowski, T. J. JO - Neural Computation PY - 2015 PB - MIT Press VL - 27 IS - 12 SP - 2477 EP - 2509 M3 - doi:doi:10.1162/NECO_a_00786 UR - http://www.mitpressjournals.org/doi/10.1162/NECO_a_00786 ER - TY - CHAP T1 - How somatic spikes are influenced by nonlinear active dendrites AU - Veltz, R. JO - ICMNS, plenary talk. PY - 2015 ER - TY - JOUR T1 - A new twist for the simulation of hybrid systems using the true jump method AU - Veltz, R. JO - arXiv [math] PY - 2015 UR - http://arxiv.org/abs/1504.06873 ER - TY - CHAP T1 - On the effects of the pinwheel network symmetries on cortical response AU - Veltz, R. JO - NicePhysicsDays (Nice) PY - 2015 UR - http://nicephysicsdays.org/ ER - TY - JOUR T1 - ERRATUM: A Center Manifold Result for Delayed Neural Fields Equations AU - Veltz, R. AU - Faugeras, O. JO - SIAM Journal on Mathematical Analysis PY - 2015 VL - 47 IS - 2 M3 - doi:10.1137/140962279 UR - http://dx.doi.org/10.1137/140962279 ER - TY - JOUR T1 - On the Effects on Cortical Spontaneous Activity of the Symmetries of the Network of Pinwheels in Visual Area V1 AU - Veltz, R. AU - Chossat, P. AU - Faugeras, O. JO - The Journal of Mathematical Neuroscience (JMN) PY - 2015 PB - Springer Berlin Heidelberg VL - 5 IS - 1 M3 - doi:10.1186/s13408-015-0023-8 UR - http://link.springer.com/article/10.1186%2Fs13408-015-0023-8 ER - TY - CHAP T1 - On the effects of the pinwheel network symmetries on cortical response AU - Veltz, R. JO - Geometrical Models in Vision, IHP, PARIS PY - 2014 ER - TY - CHAP T1 - Dynamics induced by long-range connections in the primary visual cortex AU - Veltz, R. JO - AIMS Conference (Madrid) PY - 2014 ER - TY - CHAP T1 - Two examples of temporal rhythms generated by neural mass/field equations AU - Veltz, R. JO - Centre for Math. Medicine and Biology, University of Nottingham PY - 2013 ER - TY - CHAP T1 - Invariant tori coming from the interplay between synaptic delays and propagation delays AU - Veltz, R. JO - CNS Paris PY - 2013 UR - http://epubs.siam.org/doi/abs/10.1137/120889253 ER - TY - CHAP T1 - Interplay between synaptic delays and propagation delays in neural fields equations AU - Veltz, R. JO - Mathemacs Meeting PY - 2013 ER - TY - JOUR T1 - Bifurcation analysis applied to a model of motion integration with a multistable stimulus AU - Rankin, J. AU - Tlapale, E. AU - Veltz, R. AU - Faugeras, O. AU - Kornprobst, P. JO - Journal of computational neuroscience PY - 2013 PB - Springer VL - 34 IS - 1 ER - TY - JOUR T1 - A center manifold result for delayed neural fields equations AU - Veltz, R. AU - Faugeras, O. JO - SIAM Journal on Mathematical Analysis PY - 2013 PB - SIAM VL - 45 IS - 3 ER - TY - JOUR T1 - Short-term synaptic plasticity in the deterministic Tsodyks-Markram model leads to unpredictable network dynamics AU - Cortes, J. M. AU - Desroches, M. AU - Rodrigues, S. AU - Veltz, R. AU - Munoz, M. A. AU - Sejnowski, T. J. JO - Proceedings of the National Academy of Sciences PY - 2013 PB - National Acad Sciences VL - 110 IS - 41 UR - https://www.pnas.org/content/110/41/16610 ER - TY - JOUR T1 - Interplay between synaptic delays and propagation delays in neural field equations AU - Veltz, R. JO - SIAM Journal on Applied Dynamical Systems PY - 2013 PB - SIAM VL - 12 IS - 3 UR - http://epubs.siam.org/doi/abs/10.1137/120889253 ER - TY - THES T1 - Nonlinear analysis methods in neural field models AU - Veltz, R. PY - 2011 IS - 20111056 UR - https://pastel.archives-ouvertes.fr/tel-00686695 ER - TY - THES T1 - Nonlinear analysis methods in neural field models AU - Veltz, R. PY - 2011 UR - https://pastel.archives-ouvertes.fr/tel-00686695 ER - TY - THES T1 - Nonlinear analysis methods in neural field models AU - Veltz, R. PY - 2011 UR - http://romainveltz.pythonanywhere.com/static/media/uploads/main.pdf ER - TY - CHAP T1 - Study of a particular working regime for a simple model of V1 AU - Veltz, R. JO - GDR Vision (Marseille) PY - 2011 ER - TY - JOUR T1 - Stability of the stationary solutions of neural field equations with propagation delays AU - Veltz, R. AU - Faugeras, O. JO - The Journal of Mathematical Neuroscience (JMN) PY - 2011 PB - Springer VL - 1 IS - 1 UR - http://www.mathematical-neuroscience.com/content/1/1/1 ER - TY - JOUR T1 - An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays AU - Veltz, R. JO - Comptes Rendus Mathematique PY - 2011 PB - Elsevier VL - 349 IS - 13 UR - http://www.sciencedirect.com/science/article/pii/S1631073X11001671 ER - TY - JOUR T1 - Local/global analysis of the stationary solutions of some neural field equations AU - Veltz, R. AU - Faugeras, O. JO - SIAM Journal on Applied Dynamical Systems PY - 2010 PB - SIAM VL - 9 IS - 3 ER - TY - JOUR T1 - Illusions in the ring model of visual orientation selectivity AU - Veltz, R. AU - Faugeras, O. JO - arXiv preprint arXiv:1007.2493 PY - 2010 UR - http://arxiv.org/pdf/1007.2493v1 ER - TY - JOUR T1 - Persistent neural states: stationary localized activity patterns in nonlinear continuous n-population, q-dimensional neural networks AU - Faugeras, O. AU - Veltz, R. AU - Grimbert, F. JO - Neural computation PY - 2009 PB - MIT Press VL - 21 IS - 1 UR - http://romainveltz.pythonanywhere.com/static/media/uploads/neco.2009.12-07-660.pdf ER - TY - CHAP T1 - The 3d potential induced by functional electrical stimulation with multi-contact cuff electrodes: simulation and validation AU - Clerc, M. AU - Veltz, R. AU - Guiraud, D. AU - Divoux, J. L. AU - others, TI - International Functional Electrical Stimulation Society Conference PY - 2008 VL - 400 ER -