Méthodes mathématiques pour les neurosciences : articles

Mathematical Methods for Neurosciences: Research Articles

ENS MathInfo - Master MVA / Paris VI - Master Maths-Bio (2011-2012)

Olivier Faugeras, Grégory Faye

Vous avez le libre choix de l'article à lire parmi ceux de la liste ci-dessous, avec la contrainte que personne ne l'aie choisi avant vous. Pour choisir un projet allez sur doodle. Le premier arrivé est le premier servi.

Liste des projets


Les projets 1-9 correspondent plutôt à la première partie du cours
Les projets 10-17, plutôt à la seconde


  1. The visual cortex as a crystal, Paul C. Bressloff , Jack D. Cowan : link
  2. A Developmental Model of Ocular Dominance Column Formation on a Growing Cortex, Andrew M. Oster, Paul C. Bressloff : link
  3. Symmetry-based analysis of the coordinated optimization of visual cortical maps, Lars Reichl, Dominik Heide, Siegrid Löwel, Justin C. Crowley, Matthias Kaschube, Fred Wolf : link
  4. A cortical based model of perceptual completion in the roto-translation space, G. Citti, A. Sarti : link
  5. Breathing Pulses in an Excitatory Neural Network, Stefanos E. Folias, Paul C. Bressloff : link
  6. Hyperbolic Planforms in Relation to Visual Edges and Textures Perception, Pascal Chossat, Olivier Faugeras : link
  7. Multiple Bumps in a Neuronal Model of Working Memory, Carlo R. Laing, William C. Troy, Boris Gutkin, and G. Bard
    Ermentrout : link
  8. The neurogeometry of pinwheels as a sub-Riemannian contact structure, Jean Petitot : link
  9. Stimulus-Driven Traveling Solutions in Continuum Neuronal Models with a General Smooth Firing Rate Function : G. Bard
    Ermentrout. Jozsi Z. Jalics, and Jonathan Rubin : link
  10. Fast Global Oscillations in Networks of Integrate-and-FireNeurons with Low Firing Rates, Nicolas Brunel, Vincent Hakim : link
  11. Dynamics of the Firing Probability of Noisy Integrate-and-Fire Neurons, Nicolas Fourcaud, Nicolas Brunel : link
  12. An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations, Desmond J. Higham : link
  13. On the Gap Between Deterministic and Stochastic Ordinary Differential Equations, Hector J. Sussmann : link1, link2
  14. A constructive mean-field analysis of multi-population neural networks with random synaptic weights and stochastic inputs
    Olivier Faugeras, Jonathan Touboul, and Bruno Cessac : link
  15. Fluid limit theorems for stochastic hybrid systems with application to neuron models, K. Pakdaman, M. Thieullen, G. Wainrib : link
  16. Characterization of Subthreshold Voltage Fluctuations in Neuronal Membranes, M. Rudolph, A. Destexhe : link
  17. Intrinsic variability of latency to first-spike, G. Wainrib, M. Thieullen, K. Pakdaman  : link