Jonathan Touboul

Summary

Affiliation: INRIA Sophia Antipolis
Country: France

Publications

  1. ncbi request reprint The spikes trains probability distributions: a stochastic calculus approach
    Jonathan Touboul
    Odyssée Laboratory, INRIA ENPC ENS, INRIA, Sophia Antipolis, 2004 route des Lucioles, BP 93 06902, Sophia Antipolis Cedex, France
    J Physiol Paris 101:78-98. 2007
  2. doi request reprint Importance of the cutoff value in the quadratic adaptive integrate-and-fire model
    Jonathan Touboul
    NeuroMathComp Laboratory, 06902 Sophia Antipolis, France
    Neural Comput 21:2114-22. 2009
  3. doi request reprint Finite-size and correlation-induced effects in mean-field dynamics
    Jonathan D Touboul
    NeuroMathComp Laboratory, INRIA ENS Paris, 23 Avenue d Italie, 75013 Paris, France
    J Comput Neurosci 31:453-84. 2011
  4. doi request reprint A Markovian event-based framework for stochastic spiking neural networks
    Jonathan D Touboul
    NeuroMathComp Laboratory, INRIA, Sophia Antipolis, France
    J Comput Neurosci 31:485-507. 2011
  5. doi request reprint Neural mass activity, bifurcations, and epilepsy
    Jonathan Touboul
    NeuroMathComp Laboratory, INRIA, CNRS, and ENS, Paris, France
    Neural Comput 23:3232-86. 2011
  6. ncbi request reprint Heterogeneous connections induce oscillations in large-scale networks
    Geoffroy Hermann
    NeuroMathComp Laboratory, INRIA ENS, Paris, France
    Phys Rev Lett 109:018702. 2012
  7. doi request reprint On the simulation of nonlinear bidimensional spiking neuron models
    Jonathan Touboul
    NeuroMathComp Laboratory, INRIA ENS Paris, Paris 75013, France
    Neural Comput 23:1704-42. 2011
  8. pmc Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons
    Javier Baladron
    NeuroMathComp Laboratory, INRIA, Sophia Antipolis Mediterranée, 06902, France
    J Math Neurosci 2:10. 2012

Collaborators

Detail Information

Publications8

  1. ncbi request reprint The spikes trains probability distributions: a stochastic calculus approach
    Jonathan Touboul
    Odyssée Laboratory, INRIA ENPC ENS, INRIA, Sophia Antipolis, 2004 route des Lucioles, BP 93 06902, Sophia Antipolis Cedex, France
    J Physiol Paris 101:78-98. 2007
    ..For each technique we indicate its range of applicability and its limitations...
  2. doi request reprint Importance of the cutoff value in the quadratic adaptive integrate-and-fire model
    Jonathan Touboul
    NeuroMathComp Laboratory, 06902 Sophia Antipolis, France
    Neural Comput 21:2114-22. 2009
    ..Hence, these models are robust to changes in the cutoff value...
  3. doi request reprint Finite-size and correlation-induced effects in mean-field dynamics
    Jonathan D Touboul
    NeuroMathComp Laboratory, INRIA ENS Paris, 23 Avenue d Italie, 75013 Paris, France
    J Comput Neurosci 31:453-84. 2011
    ..This study leads us to show that the infinite-size system appears as a singular limit of the network equations, and for any finite network, the system will differ from the infinite system...
  4. doi request reprint A Markovian event-based framework for stochastic spiking neural networks
    Jonathan D Touboul
    NeuroMathComp Laboratory, INRIA, Sophia Antipolis, France
    J Comput Neurosci 31:485-507. 2011
    ..This covers most of the cases that have been investigated in the event-based description of spiking deterministic neural networks...
  5. doi request reprint Neural mass activity, bifurcations, and epilepsy
    Jonathan Touboul
    NeuroMathComp Laboratory, INRIA, CNRS, and ENS, Paris, France
    Neural Comput 23:3232-86. 2011
    ....
  6. ncbi request reprint Heterogeneous connections induce oscillations in large-scale networks
    Geoffroy Hermann
    NeuroMathComp Laboratory, INRIA ENS, Paris, France
    Phys Rev Lett 109:018702. 2012
    ....
  7. doi request reprint On the simulation of nonlinear bidimensional spiking neuron models
    Jonathan Touboul
    NeuroMathComp Laboratory, INRIA ENS Paris, Paris 75013, France
    Neural Comput 23:1704-42. 2011
    ....
  8. pmc Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons
    Javier Baladron
    NeuroMathComp Laboratory, INRIA, Sophia Antipolis Mediterranée, 06902, France
    J Math Neurosci 2:10. 2012
    ..g. a bifurcation analysis.Mathematics Subject Classification (2000): 60F99, 60B10, 92B20, 82C32, 82C80, 35Q80...