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
Liste des projets
Les projets 1-9 correspondent plutôt à la première partie du cours
Les projets 10-17, plutôt à la seconde
- The visual cortex as a crystal, Paul C. Bressloff , Jack D. Cowan : link
- A Developmental Model of Ocular Dominance Column Formation on a Growing Cortex, Andrew M. Oster, Paul C. Bressloff : link
- 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
- A cortical based model of perceptual completion in the
roto-translation space, G.
Citti, A. Sarti : link
- Breathing Pulses in an Excitatory Neural Network, Stefanos E. Folias, Paul C. Bressloff
: link
- Hyperbolic Planforms in Relation
to Visual Edges and Textures
Perception, Pascal Chossat,
Olivier Faugeras : link
- Multiple Bumps in a Neuronal
Model of Working Memory, Carlo
R. Laing, William C. Troy, Boris Gutkin, and G. Bard
Ermentrout : link
- The neurogeometry of pinwheels
as a sub-Riemannian contact structure, Jean Petitot : link
- 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
- Fast Global Oscillations in Networks of
Integrate-and-FireNeurons with Low Firing Rates, Nicolas Brunel, Vincent Hakim :
link
- Dynamics of the Firing Probability of Noisy Integrate-and-Fire Neurons, Nicolas Fourcaud, Nicolas Brunel : link
- An Algorithmic Introduction to Numerical Simulation of
Stochastic Differential Equations, Desmond J. Higham : link
- On the Gap Between Deterministic and Stochastic Ordinary Differential Equations, Hector J. Sussmann : link1, link2
- 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 - Fluid limit theorems for stochastic hybrid systems with application to neuron models, K. Pakdaman, M. Thieullen, G. Wainrib : link
- Characterization of Subthreshold Voltage Fluctuations in Neuronal Membranes, M. Rudolph, A. Destexhe : link
- Intrinsic variability of latency to first-spike, G. Wainrib, M. Thieullen, K. Pakdaman : link