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Michael J. Shelley

Mathematics
Models of Visual Cortex

Go to my homepage in Mathematics. Michael Shelley

I am an applied mathematician and work closely with colleagues in the Center for Neural Science. My research is in visual neuroscience, and I am particularly fascinated by the processing of visual information by the primary visual cortex. The visual cortex is a very large dynamical system that I study with the tools of modern applied mathematics: mathematical modeling, asymptotic and statistical methods, analysis, and large-scale scientific computation.

E-mail: shelley@cims.nyu.edu

Selected Publications

  • McLaughlin, D., Shapley, R., Shelley, M.J., and Wielaard, D.J. (2000) A neuronal network model of the macaque primary visual cortex (v1): orientation tuning and dynamics in the input layer 4C. Proceedings of the National Academy of Sciences USA 97: 8087-8092
  • Pugh, M., Shapley, R., Ringach, D., and Shelley, M.J. (2000) Computational modeling of orientation tuning dynamics in monkey primary visual cortex. Journal of Computational Neuroscience 8: 143-159
  • Wielaard, D.J., Shelley, M.J., McLaughlin, D., and Shapley, R. (2001) How simple cells are made in a nonlinear network model of the visual cortex. Journal of Neuroscience 21: 5203-5211
  • Shelley, M.J. and Tao, L. (2001) Efficient and accurate time-integration schemes for integrate-and-fire neuronal networks. Journal of Computational Neuroscience 11: 111-119
  • Shapley, R., McLaughlin, D., and Shelley, M. (2002) Orientation selectivity: Models and neural mechanisms. In The Handbook of Brain Theory and Neural Networks: The Second Edition, ed, M.A. Arbib, Cambridge, MA: MIT Press
  • Shelley, M.J. and McLaughlin, D. (2002) Coarse-grained reduction and analysis of a model of cortical response. i. drifting grating stimuli. Journal of Computational Neuroscience 12: 97-122
  • Shelley, M.J., McLaughlin, D., Shapley, R., and Wielaard, J. (2002) States of high conductance in a large-scale model of the visual cortex. Journal of Computational Neuroscience 13: 93-109
  • McLaughlin, D., Shapley, R., and Shelley, M. (2002) Large-scale modeling of the primary visual cortex: influence of cortical architecture upon neuronal response Journal of Physiology Paris (special edition on Geometry and Cognition) in press
 

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