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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, 1-50, 2012
2532012
Can power-law scaling and neuronal avalanches arise from stochastic dynamics?
J Touboul, A Destexhe
PloS one 5 (2), e8982, 2010
2282010
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 3, 323, 2009
2032009
Power-law statistics and universal scaling in the absence of criticality
J Touboul, A Destexhe
Physical Review E 95 (1), 012413, 2017
1902017
Dynamics and bifurcations of the adaptive exponential integrate-and-fire model
J Touboul, R Brette
Biological cybernetics 99 (4), 319-334, 2008
1742008
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
1682020
Topological and dynamical complexity of random neural networks
G Wainrib, J Touboul
Physical review letters 110 (11), 118101, 2013
1362013
Neural mass activity, bifurcations, and epilepsy
J Touboul, F Wendling, P Chauvel, O Faugeras
Neural computation 23 (12), 3232-3286, 2011
1362011
Bifurcation analysis of a general class of nonlinear integrate-and-fire neurons
J Touboul
SIAM journal on applied mathematics 68 (4), 1045-1079, 2008
1152008
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
1102012
Propagation of chaos in neural fields
J Touboul
842014
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
712018
Spiking dynamics of bidimensional integrate-and-fire neurons
J Touboul, R Brette
SIAM Journal on Applied Dynamical Systems 8 (4), 1462-1506, 2009
712009
On a kinetic Fitzhugh–Nagumo model of neuronal network
S Mischler, C Quiñinao, J Touboul
Communications in mathematical physics 342, 1001-1042, 2016
672016
The hipster effect: When anti-conformists all look the same
JD Touboul
Discrete And Continuous Dynamical Systems-B 24 (8), 4379-4415, 2019
66*2019
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
592012
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
582015
On the dynamics of random neuronal networks
P Robert, J Touboul
Journal of Statistical Physics 165, 545-584, 2016
572016
Deep brain stimulation-guided optogenetic rescue of parkinsonian symptoms
S Valverde, M Vandecasteele, C Piette, W Derousseaux, G Gangarossa, ...
Nature communications 11 (1), 2388, 2020
502020
Heterogeneous connections induce oscillations in large-scale networks
G Hermann, J Touboul
Physical review letters 109 (1), 018702, 2012
502012
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Articles 1–20