## Jack Cowan, PhD

Professor

###### Research Interests

- Computational & Theoretical

Select Publications

Reliable Computation in the Presence of Noise, (with S. Winograd), MIT Press, 1963. Excitatory and Inhibitory Interactions in Localized Populations of Model Neurons, (with H.R. Wilson), Biophysical Journal, 12, 1-24, 1972. A Mathematical Theory of the Functional Dynamics of Cortical and Thalamic Nervous Tissue, (with H.R. Wilson), Kybernetik 13, 2, 55-80, 1973. Transient Potentials in Neurons with Arbitrary Geometry, (with E.G. Butz), Biophysical Journal. 14, 9, 1974. A Mathematical Theory of Visual Hallucination Patterns, (with G.B. Ermentrout), Biological Cybernetics 34, 137-150, 1979. Geometric Visual Hallucinations, Euclidean Symmetry, and the Functional Architecture of Striate Cortex (with P. Bressloff, M. Golubitsky, P. Thomas and M.C. Wiener), Phil.Trans.Roy.Soc. (Lond) B, 356, 299-330, 2001. Field Theoretic Approach to Fluctuation Effects in Neural Networks (with M.A. Buice), Phys. Rev. E, 051919, 2007. Avalanches in a Stochastic Model of Spiking Neurons (with M.A. Benayoun, W.v.Drongelen, and E. Wallace), PLoS Computational Biology, 6, 7, e1000846, 2010. Evolutionary constraints on visual cortex architecture from the dynamics of hallucinations, (with T.C. Butler, M. Benayoun, E. Wallace, W. van Drongelen, and N. Goldenfeld, PNAS, 109, 2, 606-609, 2012. Self-organized criticality in a network of interacting neurons, (with J. Neuman, B. Kiewiet, and W. van Drongelem), J. Stat. Mech. 04, P04030, 2013.