J. Touboul

发表

Topological and dynamical complexity of random neural networks.

G. Wainrib, J. Touboul, 2012, Physical review letters.

Can Power-Law Scaling and Neuronal Avalanches Arise from Stochastic Dynamics?

J. Touboul, A. Destexhe, Jonathan Touboul, 2009, PloS one.

Propagation of chaos in neural fields

J. Touboul, 2011, 1108.2414.

Power-law statistics and universal scaling in the absence of criticality.

J. Touboul, A. Destexhe, 2015, Physical review. E.

Heterogeneous connections induce oscillations in large-scale networks.

J. Touboul, Geoffroy Hermann, 2012, Physical review letters.

The spikes trains probability distributions: A stochastic calculus approach

Olivier Faugeras, Jonathan Touboul, J. Touboul, 2007, Journal of Physiology-Paris.

The Statistics Of Spikes Trains For Some Simple Types Of Neuron Models

J. Touboul, O. Faugeras, D. Talay, 2006 .

A characterization of the first hitting time of double integral processes to curved boundaries

J. Touboul, O. Faugeras, 2008, Advances in Applied Probability.

On the complex dynamics of savanna landscapes

J. Touboul, S. Levin, A. Staver, 2018, Proceedings of the National Academy of Sciences.

Dynamics and absorption properties of stochastic equations with Hölder diffusion coefficients

G. Wainrib, J. Touboul, 2012, 1205.0172.

Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons

J. Touboul, O. Faugeras, Javier Baladron, 2012, The Journal of Mathematical Neuroscience.

Mean-field equations for stochastic firing-rate neural fields with delays: Derivation and noise-induced transitions

J. Touboul, 2012 .

Multiresolution Hilbert Approach to Multidimensional Gauss-Markov Processes

J. Touboul, Thibaud Taillefumier, 2011 .

Multi-Resolution Schauder Approach to Multidimensional Gauss-Markov Processes

J. Touboul, Thibaud Taillefumier, 2010, 1009.0533.

Codimension Two Bifurcations and Rythms in Neural Mass Models

J. Touboul, O. Faugeras, 2009, 0907.2718.

Nonlinear and Stochastic Methods in Neurosciences

J. Touboul, 2008 .

Power-law statistics and universal scaling are generic features of large ensembles of weakly correlated units

J. Touboul, A. Destexhe, 2015 .

Limits and Dynamics of Stochastic Neuronal Networks with Random Heterogeneous Delays

Jonathan Touboul, J. Touboul, 2012, Journal of Statistical Physics.

Large Deviations, Dynamics and Phase Transitions in Large Stochastic and Disordered Neural Networks

Jonathan Touboul, J. Touboul, Tanguy Cabana, 2013, Journal of Statistical Physics.

Synchronization in random balanced networks.

Jonathan Touboul, Khashayar Pakdaman, Gilles Wainrib, 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

Canard Explosion in Delay Differential Equations

J. Touboul, M. Krupa, 2016 .

On retarded canards: Complex oscillations in delayed slow-fast systems

J. Touboul, M. Krupa, 2014 .

Canard explosion in delayed equations with multiple timescales

Jonathan D. Touboul, Maciej Krupa, J. Touboul, 2014, 1407.7703.

On the dynamics of mean-field equations for stochastic neural fields with delays

J. Touboul, 2011, 1108.2407.

Noise-induced canard and mixed-mode oscillations in large stochastic networks with multiple timescales

Jonathan Touboul, Mathieu Desroches, Maciej Krupa, 2013, 1302.7159.

Testing Equivariant Dynamics in a Network of Reaction-Diffusion Oscillators

J. Touboul, S. Fraden, M. Norton, 2021, 2101.10434.

Noise-Induced Synchronization and Antiresonance in Interacting Excitable Systems: Applications to Deep Brain Stimulation in Parkinson’s Disease

G. Bard Ermentrout, Laurent Venance, Jonathan D. Touboul, 2020 .

Development of inhibitory synaptic delay drives maturation of thalamocortical network dynamics

J. Touboul, B. Gutkin, M. Colonnese, 2018 .

Large deviations for randomly connected neural networks: II. State-dependent interactions

J. Touboul, Tanguy Cabana, 2016, Advances in Applied Probability.

A large deviations result for randomly interacting particle systems; Applications to the Kuramoto model

J. Touboul, Tanguy Cabana, 2016 .

Opto-activation of cortical somatostatin interneurons alleviates parkinsonian symptoms

J. Touboul, M. Vandecasteele, L. Venance, 2018, bioRxiv.

Large deviations for randomly connected neural networks: I. Spatially extended systems

J. Touboul, Tanguy Cabana, 2015, Advances in Applied Probability.

Large deviations for spatially extended random neural networks

J. Touboul, Tanguy Cabana, 2015 .

Macroscopic Equations Governing Noisy Spiking Neuronal Populations with Linear Synapses

J. Touboul, M. Galtier, 2013, PloS one.

Bifurcations of stochastic di erential equations with singular di usion coe cients

G. Wainrib, J. Touboul, 2012 .

Bifurcations of stochastic differential equations with singular diffusion coefficients

G. Wainrib, J. Touboul, 2012 .

Mean Field description of and propagation of chaos in recurrent multipopulation networks of Hodgkin-Huxley and Fitzhugh-Nagumo neurons

Olivier Faugeras, Jonathan Touboul, Diego Fasoli, 2011, 1110.4294.

Stochastic firing rate models

J. Touboul, O. Faugeras, B. Ermentrout, 2010, 1001.3872.

Complex Oscillations in the Delayed FitzHugh–Nagumo Equation

J. Touboul, M. Krupa, 2014, J. Nonlinear Sci..

Wild oscillations in a nonlinear neuron model with resets: (I) Bursting, spike-adding and chaos

J. Touboul, J. Rubin, A. Vidal, 2016, 1611.02740.

In vitro characterization of the human segmentation clock

J. Touboul, A. Miyawaki, O. Pourquié, 2019, Nature.

Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain

J. Touboul, 2007, 0705.4221.

The Real Ginibre Ensemble with $$k=O(n)$$k=O(n) Real Eigenvalues

G. Wainrib, J. Touboul, K. Pakdaman, 2015, 1501.03120.

Concurrent Thalamostriatal and Corticostriatal Spike-Timing-Dependent Plasticity and Heterosynaptic Interactions Shape Striatal Plasticity Map.

J. Touboul, L. Venance, S. Pérez, 2020, Cerebral cortex.

Computer and biological vision

Rachid Deriche, Pierre Kornprobst, Romain Veltz, 2007 .

New Results - Single neuron models

Olivier Faugeras, Bruno Cessac, Jonathan Touboul, 2008 .

New Results - Assemblies of neuron models and simulation

Olivier Faugeras, Romain Veltz, Olivier Temam, 2007 .

A “Numerical Evo-Devo” Synthesis for the Identification of Pattern-Forming Factors

J. Touboul, Marie Manceau, Richard Bailleul, 2020, Cells.

Deep brain stimulation-guided optogenetic rescue of parkinsonian symptoms

J. Touboul, M. Vandecasteele, L. Venance, 2020, Nature Communications.

On the Dynamic Interplay between Positive and Negative Affects

J. Touboul, R. Schwartz, A. Romagnoni, 2010, 1004.4856.

Symmetry breaking in the embryonic skin triggers directional and sequential plumage patterning

J. Touboul, Marie Manceau, Richard Bailleul, 2019, PLoS biology.

Erratum on: Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain

J. Touboul, 2019, Mathematical Control & Related Fields.

Limits and Dynamics of Randomly Connected Neuronal Networks

J. Touboul, C. Quiñinao, 2014, Acta Applicandae Mathematicae.

On a Kinetic Fitzhugh–Nagumo Model of Neuronal Network

J. Touboul, S. Mischler, C. Quiñinao, 2016, Communications in Mathematical Physics.

Biological and Computer Vision

Rachid Deriche, Christophe Lenglet, Carl-Fredrik Westin, 2005 .

Interplay of multiple pathways and activity-dependent rules in STDP

Laurent Venance, Gaëtan Vignoud, Jonathan D Touboul, 2018, PLoS Comput. Biol..

Progressive Alignment of Inhibitory and Excitatory Delay May Drive a Rapid Developmental Switch in Cortical Network Dynamics.

Jonathan D Touboul, Alberto Romagnoni, Matthew T Colonnese, 2020, Journal of neurophysiology.

Progressive Alignment of Inhibitory and Excitatory Delay May Drive a Rapid Developmental Switch in Cortical Network Dynamics

J. Touboul, B. Gutkin, M. Colonnese, 2019, bioRxiv.

Bifurcation Analysis of a General Class of Nonlinear Integrate-and-Fire Neurons

Jonathan Touboul, J. Touboul, 2008, SIAM J. Appl. Math..

In vitro characterization of the human segmentation clock

Jonathan Touboul, Kumiko Yoshioka-Kobayashi, Ryoichiro Kageyama, 2018, bioRxiv.

In vitro characterization of the human segmentation clock

J. Touboul, O. Pourquié, R. Kageyama, 2020, Nature.

Engrams of Fast Learning

Laurent Venance, Jonathan Touboul, Charlotte Piette, 2020, Frontiers in Cellular Neuroscience.

Lhx2 regulates the timing of β-catenin-dependent cortical neurogenesis

J. Touboul, S. Chou, H. Kuo, 2015, Proceedings of the National Academy of Sciences.

Noise-Induced Behaviors in Neural Mean Field Dynamics

Olivier D. Faugeras, Jonathan Touboul, Geoffroy Hermann, 2011, SIAM J. Appl. Dyn. Syst..

Finite-size and correlation-induced effects in mean-field dynamics

Jonathan Touboul, Bard Ermentrout, J. Touboul, 2010, Journal of Computational Neuroscience.

On the Dynamics of Random Neuronal Networks

Jonathan D. Touboul, J. Touboul, Philippe Robert, 2014, Journal of Statistical Physics.

Probabilistic Foundations of Spatial Mean-Field Models in Ecology and Applications

Jonathan Touboul, Simon A. Levin, Denis D. Patterson, 2019, SIAM J. Appl. Dyn. Syst..

Probabilistic Foundations of the Staver-Levin Model

Denis D. Patterson, J. Touboul, S. Levin, 2019 .

Noise-induced Canard and Mixed-Mode Oscillations in Large-Scale Stochastic Networks

Jonathan Touboul, Mathieu Desroches, Martin Krupa, 2015, SIAM J. Appl. Math..

On a Kinetic Fitzhugh–Nagumo Model of Neuronal Network

C. Quiñinao, J. Touboul, S. Mischler, 2015, 1503.00492.

Pulsatile Localized Dynamics in Delayed Neural Field Equations in Arbitrary Dimension

Jonathan Touboul, Grégory Faye, J. Touboul, 2014, SIAM J. Appl. Math..

Large Deviations, Dynamics and Phase Transitions in Large Stochastic and Disordered Neural Networks

J. Touboul, Tanguy Cabana, Jonathan Touboul, 2013, Journal of Statistical Physics.

Limits and Dynamics of Randomly Connected Neuronal Networks

Jonathan Touboul, Cristobal Quiñinao, J. Touboul, 2013, Acta Applicandae Mathematicae.

Limits and Dynamics of Stochastic Neuronal Networks with Random Heterogeneous Delays

J. Touboul, Jonathan Touboul, 2012, Journal of Statistical Physics.

Neural Mass Activity, Bifurcations, and Epilepsy

Olivier D. Faugeras, Fabrice Wendling, Jonathan Touboul, 2011, Neural Computation.

The heterogeneous gas with singular interaction: generalized circular law and heterogeneous renormalized energy

J. Touboul, K. Pakdaman, Luis Carlos Garcia del Molino, 2014, 1402.7007.

Is There Sufficient Evidence for Criticality in Cortical Systems?

J. Touboul, A. Destexhe, 2021, eNeuro.

Parsimony , exhaustivity and balanced detection in neocortex : SUPPORTING INFORMATION

J. Touboul, Jérôme Ribot, D. Bennequin, 2015 .

COUP-TFI specifies the medial entorhinal cortex identity and induces differential cell adhesion to determine the integrity of its boundary with neocortex

Denis D. Patterson, J. Touboul, J. Rubenstein, 2021, Science Advances.

Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillations

J. Touboul, J. Rubin, A. Vidal, 2015, 1509.08282.

Clamping and Synchronization in the Strongly Coupled FitzHugh-Nagumo Model

Cristobal Quininao, Jonathan D. Touboul, J. Touboul, 2018, SIAM J. Appl. Dyn. Syst..

Dynamics and bifurcations of the adaptive exponential integrate-and-fire model

Jonathan Touboul, Romain Brette, J. Touboul, 2008, Biological Cybernetics.

A Constructive Mean-Field Analysis of Multi-Population Neural Networks with Random Synaptic Weights and Stochastic Inputs

Olivier D. Faugeras, Bruno Cessac, Jonathan Touboul, 2008, Front. Comput. Neurosci..

Spiking Dynamics of Bidimensional Integrate-and-Fire Neurons

Jonathan Touboul, Romain Brette, J. Touboul, 2009, SIAM J. Appl. Dyn. Syst..

Type III Responses to Transient Inputs in Hybrid Nonlinear Neuron Models

J. Touboul, JONATHAN RUBIN, JUSTYNA SIGNERSKA-RYNKOWSKA, 2020, SIAM J. Appl. Dyn. Syst..

The hemodynamic signal as a first-order low-pass temporal filter: Evidence and implications for neuroimaging studies

Jonathan Touboul, Jérôme Ribot, Guillaume Hubert, 2016, NeuroImage.

A Markovian event-based framework for stochastic spiking neural networks

Olivier D. Faugeras, Jonathan Touboul, J. Touboul, 2009, Journal of Computational Neuroscience.

Enhanced Abventricular Proliferation Compensates Cell Death in the Embryonic Cerebral Cortex

Jonathan Touboul, Betty Freret-Hodara, Lisa Vigier, 2016, Cerebral cortex.

Deep brain stimulation-guided optogenetic rescue of parkinsonian symptoms

J. Touboul, M. Vandecasteele, L. Venance, 2020, Nature Communications.

Local homeoprotein diffusion can stabilize boundaries generated by graded positional cues

J. Touboul, A. Prochiantz, C. Quiñinao, 2015, Development.

Positive and Negative Affect Balance Trajectories in the Treatment of Depression

J. Touboul, R. Schwartz, 2010 .

On the Dynamics of Random Neuronal Networks

J. Touboul, Philippe Robert, Jonathan Touboul, 2016, Journal of Statistical Physics.

Exact Event-Driven Implementation for Recurrent Networks of Stochastic Perfect Integrate-and-Fire Neurons

Jonathan Touboul, Thibaud Taillefumier, Marcelo Magnasco, 2012, Neural Computation.

Striatum expresses region-specific plasticity consistent with distinct memory abilities.

J. Touboul, L. Venance, Zhiwei Zheng, 2022, Cell reports.

Competition and boundary formation in heterogeneous media: Application to neuronal differentiation

J. Touboul, B. Perthame, C. Quiñinao, 2014, 1408.2091.

The hipster effect: When anti-conformists all look the same

Jonathan Touboul, J. Touboul, 2014, Discrete & Continuous Dynamical Systems - B.

On the Dynamical Interplay of Positive and Negative Affects

Jonathan Touboul, Alberto Romagnoni, Robert Schwartz, 2017, Neural Computation.

Canard Explosion in Delay Differential Equations

J. Touboul, M. Krupa, 2015, Journal of Dynamics and Differential Equations.

Frontiers in Computational Neuroscience

J. Touboul, O. Faugeras, B. Cessac, 2022 .

On the Simulation of Nonlinear Bidimensional Spiking Neuron Models

Jonathan Touboul, J. Touboul, 2010, Neural Computation.

Predicting Employment Notice Period with Machine Learning: Promises and Limitations

Samuel Dahan, Jonathan Touboul, Jason T. Lam, 2020 .

The real Ginibre ensemble with $k = O(n)$ real eigenvalues

G. Wainrib, J. Touboul, K. Pakdaman, 2015 .

Frontiers in Computational Neuroscience

J. Touboul, O. Faugeras, B. Cessac, 2022 .

Symmetry breaking in the embryonic skin triggers a directional and sequential front of competence during plumage patterning

J. Touboul, Marie Manceau, Richard Bailleul, 2018, bioRxiv.

Can Power-Law Scaling and Neuronal Avalanches Arise from Stochastic Dynamics?

J. Touboul, A. Destexhe, 2010, PloS one.

Importance of the Cutoff Value in the Quadratic Adaptive Integrate-and-Fire Model

Jonathan Touboul, J. Touboul, 2008, Neural Computation.

Sensitivity to the cutoff value in the quadratic adaptive integrate-and-fire model

Jonathan Touboul, J. Touboul, 2013 .

Parsimony, Exhaustivity and Balanced Detection in Neocortex

Jonathan Touboul, Alberto Romagnoni, Jérôme Ribot, 2014, PLoS Comput. Biol..

Spatial Dynamics with Heterogeneity

Denis D. Patterson, J. Touboul, S. Levin, 2023, SIAM Journal on Applied Mathematics.

A Markovian event-based framework for stochastic spiking neural networks

J. Touboul, O. Faugeras, 2009, Journal of Computational Neuroscience.

Index distribution of the Ginibre ensemble

G. Wainrib, J. Touboul, Romain Allez, 2013, 1310.5039.

Spatially Extended Networks with Singular Multi-scale Connectivity Patterns

J. Touboul, 2013, Journal of Statistical Physics.

A characterization of the first hitting time of double integral processes to curved boundaries

J. Touboul, O. Faugeras, 2008, Advances in Applied Probability.

Pattern Formation in Mesic Savannas

Denis D. Patterson, J. Touboul, S. Levin, 2023, Bulletin of Mathematical Biology.

Noise-induced synchronization and anti-resonance in excitable systems; Implications for information processing in Parkinson's Disease and Deep Brain Stimulation.

J. Touboul, G. Ermentrout, L. Venance, 2019, 1905.01342.