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Jonathan Touboul
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Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons
J Baladron, D Fasoli, O Faugeras, J Touboul
The Journal of Mathematical Neuroscience 2 (1), 1-50, 2012
2022012
Can power-law scaling and neuronal avalanches arise from stochastic dynamics?
J Touboul, A Destexhe
PloS one 5 (2), e8982, 2010
2012010
A constructive mean-field analysis of multi population neural networks with random synaptic weights and stochastic inputs
OD Faugeras, JD Touboul, B Cessac
Frontiers in computational neuroscience, 1, 2009
1872009
Dynamics and bifurcations of the adaptive exponential integrate-and-fire model
J Touboul, R Brette
Biological cybernetics 99 (4), 319-334, 2008
1502008
Power-law statistics and universal scaling in the absence of criticality
J Touboul, A Destexhe
Physical Review E 95 (1), 012413, 2017
1462017
Topological and dynamical complexity of random neural networks
G Wainrib, J Touboul
Physical review letters 110 (11), 118101, 2013
1162013
Neural mass activity, bifurcations, and epilepsy
J Touboul, F Wendling, P Chauvel, O Faugeras
Neural computation 23 (12), 3232-3286, 2011
1152011
Bifurcation analysis of a general class of nonlinear integrate-and-fire neurons
J Touboul
SIAM Journal on Applied Mathematics 68 (4), 1045-1079, 2008
1082008
Noise-induced behaviors in neural mean field dynamics
J Touboul, G Hermann, O Faugeras
SIAM Journal on Applied Dynamical Systems 11 (1), 49-81, 2012
1052012
In vitro characterization of the human segmentation clock
M Diaz-Cuadros, DE Wagner, C Budjan, A Hubaud, OA Tarazona, ...
Nature 580 (7801), 113-118, 2020
1002020
Propagation of chaos in neural fields
J Touboul
The Annals of Applied Probability 24 (3), 1298-1328, 2014
822014
Spiking dynamics of bidimensional integrate-and-fire neurons
J Touboul, R Brette
SIAM Journal on Applied Dynamical Systems 8 (4), 1462-1506, 2009
632009
Mean-field equations for stochastic firing-rate neural fields with delays: Derivation and noise-induced transitions
J Touboul
Physica D: Nonlinear Phenomena 241 (15), 1223-1244, 2012
552012
The hipster effect: When anti-conformists all look the same
JD Touboul
Discrete & Continuous Dynamical Systems-B 24 (8), 4379, 2019
52*2019
On a kinetic Fitzhugh–Nagumo model of neuronal network
S Mischler, C Quininao, J Touboul
Communications in mathematical physics 342 (3), 1001-1042, 2016
512016
On the complex dynamics of savanna landscapes
JD Touboul, AC Staver, SA Levin
Proceedings of the National Academy of Sciences 115 (7), E1336-E1345, 2018
482018
On the dynamics of random neuronal networks
P Robert, J Touboul
Journal of Statistical Physics 165 (3), 545-584, 2016
472016
Finite-size and correlation-induced effects in mean-field dynamics
JD Touboul, GB Ermentrout
Journal of computational neuroscience 31 (3), 453-484, 2011
462011
Lhx2 regulates the timing of β-catenin-dependent cortical neurogenesis
LCL Hsu, S Nam, Y Cui, CP Chang, CF Wang, HC Kuo, JD Touboul, ...
Proceedings of the National Academy of Sciences 112 (39), 12199-12204, 2015
452015
Heterogeneous connections induce oscillations in large-scale networks
G Hermann, J Touboul
Physical review letters 109 (1), 018702, 2012
412012
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Articles 1–20