Dumont G, Gabriel P. The mean-field equation of a leaky integrate-and-fire neural network: measure solutions and steady states. Nonlinearity, 2020
Dumont G, Henry J, Tarniceriu O. C. Connections between the noisy leaky integrate-and-fire and the escape rate model: the non-autonomous case. Mathematical Modelling of Natural Phenomena, 2020
Dumont G, Gutkin B. Macroscopic phase resetting-curves determine oscillatory coherence and signal transfer in inter-coupled neural circuits. Plos Computational Biology. 2019, 15(5): e1007019, Website
Dumont G, Ermentrout B, Gutkin B. Macroscopic phase-resetting curves for spiking neural networks. Physical Review E, 2017
Dumont G, Payeur A, Longtin A. A stochastic-field description of finite-size spiking neural networks. Plos Computational Biology. 2017,13(8):e1005691, Website
Dumont G, Henry J, Tarniceriu O. C. Theoretical connections between mathematical neuronal models corresponding to different expressions of noise. Journal of Theoretical Biology. 2016, PDF
Dumont G, Henry J, Tarniceriu O. C. Noisy threshold in neuronal models: connections with the noisy leaky integrate-and- fire model. Journal of Mathematical Biology. 73: 1413. 2016, PDF
Dumont G, Northoff G, Longtin A. A stochastic model of input effectiveness during irregular gamma rhythms. Journal of Compututional Neuroscience, 40(1):85-101, 2016 Feb;40(1):85-10. PDF
Huang Z, Zhang J, Longtin A, Dumont G, Duncan N, Pokorny J, Qin P, Dai R, Ferri F, Weng X, Northoff G. How does spontaneous brain activity interact with task-evoked activity? Non-additive interaction, phase-dependence and scale-free properties. Cerebral Cortex, 2015 Dec 7. pii: bhv288.
Dumont G, Northoff G, Longtin A. Linear noise approximation for oscillations in a stochastic inhibitory network with delay. Physical Review E, 2014, 90, 012702. (used as textbook example in Stochastic Neuron Models by Greenwood P, Ward L). PDF
Dumont G, Henry J, Tarniceriu O. C. Well-posedness of a density model for a population of theta neurons. Journal of Mathematical Neuroscience. 2014, 4:2 doi:10.1186/2190-8567-4-2. PDF
Dumont G, Henry J. Synchronization of an Excitatory Integrate-and-Fire Neural Network. Bulletin of Mathematical Biology. 2013;75(4):629-48. doi: 10.1007/s11538-013-9823-8.PDF
Dumont G, Henry J. Population density models of integrate-and-fire neurons with jump: well-posedness. Journal of Mathematical Biology. 2013;67(3):453–81.doi: 10.1007/s00285-012-0554-5. PDF