@article{Veltz2022c, author = "R. Veltz", title = "A mean-field model of two-dimensional nonlinear integrate-and-fire neurons", year = 2023, month = "Nov" } @article{Habiib2022a, author = "S. Habiib and R. Veltz", title = "Theoretical / numerical study of modulated traveling pulses in inhibition stabilized networks", year = 2023, month = "Oct" } @article{Rodrigues2021a, author = "Y. E. Rodrigues and H. Marie and C. O’Donnell and R. Veltz", title = "A stochastic model of hippocampal synaptic plasticity with geometrical readout of enzyme dynamics", year = 2023, journal = "Elife", month = "Aug", url = "https://elifesciences.org/articles/80152" } @inproceedings{TALK, author = "R. Veltz", title = "Some results concerning a mean field of a network of 2d spiking neurons", year = 2023, journal = "Topics on Neuroscience, Collective Migration and Parameter Estimation, Oxford", month = "Jul", url = "https://sites.google.com/view/neurocollectiveestimation/home?authuser=0" } @article{TALK, author = "R. Veltz", title = "Theoretical / numerical study of modulated traveling pulses in inhibition stabilized networks", year = 2023, journal = "Paris NFW 23", month = "Jun", url = "https://nfwparis2023.sciencesconf.org" } @inproceedings{TALK, author = "R. Veltz", title = "Study of a mean field of a network of 2d spiking neurons", year = 2023, journal = "One world dynamics", month = "May" } @article{chafai_dual_2023, author = "M. Chafaï and A. Delrocq and P. Inquimbert and L. Pidoux and K. Delanoe and M. Toft and F. Brau and E. Lingueglia and R. Veltz and E. Deval", title = "Dual contribution of ASIC1a channels in the spinal processing of pain information by deep projection neurons revealed by computational modeling", year = 2023, journal = "PLOS Computational Biology", volume = 19, number = 4, month = "Apr", keywords = "calcium channels, functional electrical stimulation, neuronal dendrites, neurons, pain, potassium channels, spinal cord, transfection", doi = "10.1371/journal.pcbi.1010993", url = "https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1010993", note = "Publisher: Public Library of Science" } @inproceedings{TALK, author = "R. Veltz", title = "Theoritical study of a mean-field model of two-dimensional nonlinear integrate-and-fire neurons", year = 2023, journal = "ANR Chamane", month = "Mar" } @article{TALK, author = "R. Veltz", title = "Theoretical / numerical study of modulated traveling pulses in inhibition stabilized networks", year = 2023, journal = "IHP Paris", month = "Mar" } @inproceedings{TALK, author = "R. Veltz", title = "Towards calculating bifurcations for networks of AdEx mean-field models with delays", year = 2023, journal = "Seminar A. Destexhe", month = "Jan" } @inproceedings{TALK, author = "R. Veltz", title = "A Showcase of the New Functionalities of BifurcationKit.jl", year = 2023, journal = "SIAM CSE23, Invited talk" } @inproceedings{TALK, author = "R. Veltz", title = "Some recent results on a mean field of a network of 2d spiking neurons", year = 2022, journal = "Mathematical modeling and statistical analysis in neuroscience", month = "Jan", url = "https://indico.math.cnrs.fr/event/6532/timetable/?view=standard_numbered_inline_minutes" } @inproceedings{TALK, author = "R. Veltz", title = "Présentation de BifurcationKit", year = 2022, journal = "Journée Julia (CNRS)", month = "Jan" } @article{Faugeras2021a, author = "O. Faugeras and A. Song and R. Veltz", title = "Spatial and color hallucinations in a mathematical model of primary visual cortex", year = 2022, journal = "CRAS", month = "Jan", doi = "10.5802/crmath.289", url = "https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.289/" } @article{Veltz2021i, author = "R. Veltz", title = "Snaking of spatially localized visual hallucinations in a model of primary visual cortex", year = 2021, month = "Sep" } @inproceedings{TALK, author = "O. D. Faugeras and A. Song and R. Veltz", title = "Spatial and color hallucinations in a mathematical model of primary visual cortex", year = 2021, month = "Aug" } @inproceedings{TALK, author = "R. Veltz", title = "BifurcationKit.jl: bifurcation analysis of large scale systems", year = 2021, journal = "JuliaCon21 invited talk.", month = "Jul", url = "https://pretalx.com/juliacon2021/talk/RERJWC/" } @inproceedings{TALK, author = "R. Veltz", title = "Some recent results on a mean field of a network of spiking neurons", year = 2021, journal = "LJAD, invited.", month = "Jun" } @inproceedings{TALK, author = "R. Veltz", title = "Café calcul - Julia", year = 2021, journal = "Invited by Pierre Navaro", month = "Jun" } @inproceedings{TALK, author = "R. Veltz", title = "Automatic numerical bifurcation analysis using BifurcationKit", year = 2021, journal = "SIAM DS21, Invited talk", month = "May" } @inproceedings{TALK, author = "R. Veltz", title = "Mean field Models of noisy spiking neurons and BifurcationKit", year = 2021, journal = "Invited talk, University of Cologne", month = "Mar" } @inproceedings{TALK, author = "R. Veltz", title = "Automatic numerical bifurcation analysis with applications to neurosciences using BifurcationKit", year = 2021, journal = "SIAM CSE21, Invited talk", month = "Mar", url = "https://www.siam.org/conferences/cm/conference/cse21" } @inproceedings{TALK, author = "R. Veltz", title = "Mean field Models of noisy spiking neurons", year = 2021, journal = "Colloqium MAP5, Invited talk", month = "Jan" } @article{Veltz2021h, author = "R. Veltz", title = "Invariant manifolds in singular perturbation problems for infinite dimensional dynamical systems", year = 2021 } @inproceedings{TALK, author = "R. Veltz", title = "Mean field study of stochastic spiking neural networks", year = 2020, journal = "CMS Winter Meeting, Invited talk", month = "Dec" } @article{cormier2020hopf, author = "Q. Cormier and E. Tanré and R. Veltz", title = "Hopf bifurcation in a Mean-Field model of spiking neurons", year = 2020, month = "Aug" } @{veltz:hal-02902346, author = "R. Veltz", title = "BifurcationKit.jl", year = 2020, institution = "Inria Sophia-Antipolis", month = "Jul", keywords = "pseudo-arclength-continuation, periodic-orbits, floquet, gpu, bifurcation-diagram, deflation, newton-krylov", url = "https://hal.archives-ouvertes.fr/hal-02902346" } @article{veltz:hal-01290264v2, author = "A. Drogoul and R. Veltz", title = "Exponential stability of the stationary distribution of a mean field of spiking neural network", year = 2020, journal = "Journal of Differential Equations", month = "Jul", doi = "10.1016/j.jde.2020.08.001", url = "https://www.sciencedirect.com/science/article/pii/S0022039620304459" } @article{PhysRevE.101.052208, author = "A. Dolcemascolo and A. Miazek and R. Veltz and F. Marino and S. Barland", title = "Effective low-dimensional dynamics of a mean-field coupled network of slow-fast spiking lasers", year = 2020, journal = "Phys. Rev. E", publisher = "American Physical Society", volume = 101, month = "May", doi = "10.1103/PhysRevE.101.052208", url = "https://link.aps.org/doi/10.1103/PhysRevE.101.052208" } @article{avitabile2020local, author = "D. Avitabile and M. Desroches and R. Veltz and M. Wechselberger", title = "Local theory for spatio-temporal canards and delayed bifurcations", year = 2020, journal = "SIAM Journal on Mathematical Analysis", publisher = "SIAM", volume = 52, number = 6 } @article{2018arXiv181008562C, author = "Q. Cormier and E. Tanré and R. Veltz", title = "Long time behavior of a mean-field model of interacting neurons", year = 2019, journal = "Stochastic Processes and their Applications", month = "Jul", keywords = "mathematics - probability", doi = "10.1016/j.spa.2019.07.010", url = "https://www.sciencedirect.com/science/article/abs/pii/S0304414918306574?via%3Dihub" } @article{2019arXiv190610232A, author = "B. Aymard and F. Campillo and R. Veltz", title = "Mean-field limit of interacting 2D nonlinear stochastic spiking neurons", year = 2019, journal = "arXiv e-prints", month = "Jun", keywords = "mathematics - numerical analysis" } @article{Fournier2018a, author = "N. Fournier and E. Tanré and R. Veltz", title = "On a toy network of neurons interacting through their dendrites", year = 2019, journal = "Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques", month = "May", url = "https://arxiv.org/abs/1802.04118" } @article{2018arXiv181012898S, author = "A. Song and O. Faugeras and R. Veltz", title = "A neural field model for color perception unifying assimilation and contrast", year = 2019, journal = "PLOS Computational Biology", month = "Apr", url = "https://arxiv.org/abs/1810.12898" } @inproceedings{TALK, author = "R. Veltz", title = "Analysis of a mean field of 2d spiking neurons, theory and numerics", year = 2019, journal = "International Meeting UK-France Programme, Royal Society", month = "Feb" } @article{Górski2018, author = "T. Górski and R. Veltz and M. Galtier and H. Fragnaud and J. S. Goldman and B. Teleńczuk and A. Destexhe", title = "Dendritic sodium spikes endow neurons with inverse firing rate response to correlated synaptic activity", year = 2018, journal = "Journal of Computational Neuroscience", volume = 45, number = 3, month = "Dec", doi = "10.1007/s10827-018-0707-7", url = "https://doi.org/10.1007/s10827-018-0707-7" } @article{PhysRevE.98.062211, author = "A. Dolcemascolo and B. Garbin and B. Peyce and R. Veltz and S. Barland", title = "Resonator neuron and triggering multipulse excitability in laser with injected signal", year = 2018, journal = "Phys. Rev. E", publisher = "American Physical Society", volume = 98, month = "Dec", doi = "10.1103/PhysRevE.98.062211", url = "https://link.aps.org/doi/10.1103/PhysRevE.98.062211" } @inproceedings{TALK, author = "R. Veltz", title = "Models of neurons interacting through nonlinear dendritic compartments", year = 2018, journal = "Seminaire LJAD", month = "Oct" } @inproceedings{TALK, author = "R. Veltz", title = "On a toy network of neurons interacting through nonlinear dendritic compartments", year = 2018, journal = "jmgambaudo60, invited talk", month = "Jun" } @inproceedings{TALK, author = "R. Veltz", title = "On a toy network of neurons interacting through nonlinear dendritic compartments", year = 2018, journal = "ICMNS 2018, invited talk.", month = "Jun" } @inproceedings{TALK, author = "R. Veltz", title = "On a toy network of neurons interacting through nonlinear dendritic compartments", year = 2018, journal = "Mean-field approaches to the dynamics of neuronal networks, EITN", month = "Jan" } @inproceedings{TALK, author = "R. Veltz", title = "Invariants manifolds in mathematical neurosciences", year = 2017, journal = "Winter School, Toulouse.", month = "Dec", url = "http://www.cimi.univ-toulouse.fr/mib/en/School-DSMN" } @inproceedings{TALK, author = "R. Veltz", title = "On a toy network of neurons interacting through nonlinear dendritic compartments", year = 2017, journal = "Random Structures on the Brain, Lorentz Center in Leiden, The Netherlands", month = "Dec", url = "https://www.lorentzcenter.nl/lc/web/2017/933/info.php3?wsid=933" } @inproceedings{TALK, author = "R. Veltz", title = "Hopf bifurcation in the mean field of a stochastic spiking neural networks", year = 2017, journal = "EITN - Paris", month = "Feb" } @inproceedings{TALK, author = "R. Veltz", title = "Oscillatory dynamics in a stochastic spiking neural network", year = 2017, journal = "BANFF: Brain Dynamics and Statistics, Alberta Canada", month = "Feb", url = "http://www.birs.ca/events/2017/5-day-workshops/17w5036" } @inproceedings{TALK, author = "R. Veltz", title = "Study of a mean field model stemming from a neural network", year = 2017, journal = "Gdr NonLocal, Toulouse", month = "Jan" } @article{doi:10.1063/1.4976510, author = "A. Drogoul and R. Veltz", title = "Hopf bifurcation in a nonlocal nonlinear transport equation stemming from stochastic neural dynamics", year = 2017, journal = "Chaos: An Interdisciplinary Journal of Nonlinear Science", volume = 27, number = 2, doi = "10.1063/1.4976510", url = "http://aip.scitation.org/doi/abs/10.1063/1.4976510" } @inproceedings{TALK, author = "R. Veltz", title = "Some applications of hybrid systems in neurosciences", year = 2016, journal = "University of Bristol", month = "Apr" } @article{veltz:hal-01096590, author = "R. Veltz and T. J. Sejnowski", title = "Periodic Forcing of Inhibition-Stabilized Networks: Nonlinear Resonances and Phase-Amplitude Coupling", year = 2015, journal = "Neural Computation", publisher = "MIT Press", volume = 27, institution = "INRIA Sophia Antipolis", number = 12, pages = "2477-2509", month = "Dec", keywords = "oscillation, gamma band, theta band", doi = "doi:10.1162/NECO_a_00786", url = "http://www.mitpressjournals.org/doi/10.1162/NECO_a_00786" } @inproceedings{TALK, author = "R. Veltz", title = "How somatic spikes are influenced by nonlinear active dendrites", year = 2015, journal = "ICMNS, plenary talk.", month = "Jun" } @article{veltz_new_2015, author = "R. Veltz", title = "A new twist for the simulation of hybrid systems using the true jump method", year = 2015, journal = "arXiv [math]", month = "Apr", keywords = "mathematics - numerical analysis", url = "http://arxiv.org/abs/1504.06873" } @inproceedings{TALK, author = "R. Veltz", title = "On the effects of the pinwheel network symmetries on cortical response", year = 2015, journal = "NicePhysicsDays (Nice)", month = "Jan", url = "http://nicephysicsdays.org/" } @article{doi:10.1137/140962279, author = "R. Veltz and O. Faugeras", title = "ERRATUM: A Center Manifold Result for Delayed Neural Fields Equations", year = 2015, journal = "SIAM Journal on Mathematical Analysis", volume = 47, number = 2, doi = "10.1137/140962279", url = "http://dx.doi.org/10.1137/140962279" } @article{Veltz2015b, author = "R. Veltz and P. Chossat and O. Faugeras", title = "On the Effects on Cortical Spontaneous Activity of the Symmetries of the Network of Pinwheels in Visual Area V1", year = 2015, journal = "The Journal of Mathematical Neuroscience (JMN)", publisher = "Springer Berlin Heidelberg", volume = 5, number = 1, keywords = "visual hallucinations, invariant torus, poincaré–hopf", doi = "10.1186/s13408-015-0023-8", url = "http://link.springer.com/article/10.1186%2Fs13408-015-0023-8" } @inproceedings{TALK, author = "R. Veltz", title = "On the effects of the pinwheel network symmetries on cortical response", year = 2014, journal = "Geometrical Models in Vision, IHP, PARIS", month = "Oct" } @inproceedings{TALK, author = "R. Veltz", title = "Dynamics induced by long-range connections in the primary visual cortex", year = 2014, journal = "AIMS Conference (Madrid)", month = "Jul" } @inproceedings{TALK, author = "R. Veltz", title = "Two examples of temporal rhythms generated by neural mass/field equations", year = 2013, journal = "Centre for Math. Medicine and Biology, University of Nottingham", month = "Oct" } @inproceedings{TALK, author = "R. Veltz", title = "Invariant tori coming from the interplay between synaptic delays and propagation delays", year = 2013, journal = "CNS Paris", month = "Jul", url = "http://epubs.siam.org/doi/abs/10.1137/120889253" } @inproceedings{TALK, author = "R. Veltz", title = "Interplay between synaptic delays and propagation delays in neural fields equations", year = 2013, journal = "Mathemacs Meeting", month = "May" } @article{rankin2013bifurcation, author = "J. Rankin and E. Tlapale and R. Veltz and O. Faugeras and P. Kornprobst", title = "Bifurcation analysis applied to a model of motion integration with a multistable stimulus", year = 2013, journal = "Journal of computational neuroscience", publisher = "Springer", volume = 34, number = 1 } @article{veltz2013center, author = "R. Veltz and O. Faugeras", title = "A center manifold result for delayed neural fields equations", year = 2013, journal = "SIAM Journal on Mathematical Analysis", publisher = "SIAM", volume = 45, number = 3 } @article{cortes2013short, author = "J. M. Cortes and M. Desroches and S. Rodrigues and R. Veltz and M. A. Munoz and T. J. Sejnowski", title = "Short-term synaptic plasticity in the deterministic Tsodyks-Markram model leads to unpredictable network dynamics", year = 2013, journal = "Proceedings of the National Academy of Sciences", publisher = "National Acad Sciences", volume = 110, number = 41, url = "https://www.pnas.org/content/110/41/16610" } @article{veltz2013interplay, author = "R. Veltz", title = "Interplay between synaptic delays and propagation delays in neural field equations", year = 2013, journal = "SIAM Journal on Applied Dynamical Systems", publisher = "SIAM", volume = 12, number = 3, url = "http://epubs.siam.org/doi/abs/10.1137/120889253" } @phdthesis{veltz:tel-00686695, author = "R. Veltz", title = "Nonlinear analysis methods in neural field models", year = 2011, number = 20111056, month = "Dec", keywords = "neuronal illusion, hypercolumn, neural fields, propagation delays, center manifold, bifurcation, champs neuronaux, retard de propagation, variete centrale, hypercolonne, illusion neuronale", url = "https://pastel.archives-ouvertes.fr/tel-00686695" } @phdthesis{veltz:tel-00686695, author = "R. Veltz", title = "Nonlinear analysis methods in neural field models", year = 2011, month = "Dec", url = "https://pastel.archives-ouvertes.fr/tel-00686695" } @phdthesis{Veltz2011d, author = "R. Veltz", title = "Nonlinear analysis methods in neural field models", year = 2011, month = "Dec", url = "http://romainveltz.pythonanywhere.com/static/media/uploads/main.pdf" } @inproceedings{TALK, author = "R. Veltz", title = "Study of a particular working regime for a simple model of V1", year = 2011, journal = "GDR Vision (Marseille)", month = "Dec" } @article{veltz2011stability, author = "R. Veltz and O. Faugeras", title = "Stability of the stationary solutions of neural field equations with propagation delays", year = 2011, journal = "The Journal of Mathematical Neuroscience (JMN)", publisher = "Springer", volume = 1, number = 1, url = "http://www.mathematical-neuroscience.com/content/1/1/1" } @article{veltz2011analytical, author = "R. Veltz", title = "An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays", year = 2011, journal = "Comptes Rendus Mathematique", publisher = "Elsevier", volume = 349, number = 13, url = "http://www.sciencedirect.com/science/article/pii/S1631073X11001671" } @article{veltz2010local, author = "R. Veltz and O. Faugeras", title = "Local/global analysis of the stationary solutions of some neural field equations", year = 2010, journal = "SIAM Journal on Applied Dynamical Systems", publisher = "SIAM", volume = 9, number = 3 } @article{veltz2010illusions, author = "R. Veltz and O. Faugeras", title = "Illusions in the ring model of visual orientation selectivity", year = 2010, journal = "arXiv preprint arXiv:1007.2493", url = "http://arxiv.org/pdf/1007.2493v1" } @article{faugeras2009persistent, author = "O. Faugeras and R. Veltz and F. Grimbert", title = "Persistent neural states: stationary localized activity patterns in nonlinear continuous n-population, q-dimensional neural networks", year = 2009, journal = "Neural computation", publisher = "MIT Press", volume = 21, number = 1, url = "http://romainveltz.pythonanywhere.com/static/media/uploads/neco.2009.12-07-660.pdf" } @inproceedings{clerc20083d, author = "M. Clerc and R. Veltz and D. Guiraud and J. L. Divoux and others", title = "The 3d potential induced by functional electrical stimulation with multi-contact cuff electrodes: simulation and validation", year = 2008, booktitle = "International Functional Electrical Stimulation Society Conference", volume = 400 }