David W. McLaughlin

David W. McLaughlin

Professor of Mathematics, Neural Science; Provost
Ph.D. 1971 (theoretical physics), M.S. 1969 (physics), Indiana; B.S. 1966 (mathematics and physics), Creighton.

Email:

Personal Homepage: http://math.nyu.edu/faculty/dmac/index.html

Research Interests:

Mathematical neuroscience, modeling of the primary visual cortex, nonlinear wave equations.

Affiliations:

Chairman, Board of Mathematical Sciences and their Applications, National Academy of Sciences (2003-2005); Society of Industrial and Applied Mathematics, American Mathematical Society.

Fellowships/Honors:

Member, National Academy of Science; Member, American Academy of Arts and Science; Fellow, American Academy for the Advancement of Science.

Selected Works:

“An Embedded Network Approach for Scale-Up of Fluctuation-Driven Systems with Preservation of Spike Information” (with D. Cai, L. Tao) PNAS 101 (39) 14288-14293 (2004).

"An Effective Kinetic Representation of Fluctuation-Driven Neuronal Networks with Application to Simple and Complex Cells in Visual Cortex" (with D. Cai, L. Tao , M. Shelley) PNAS 101 (20) 7757-7762 (2004).

"An Egalitarian Network Model for the Emergence of Simple and Complex Cells in Visual Cortex" (with L. Tao, M. Shelley and R. Shapley) PNAS 101 (1) 366-371 (2004).

“The Nonlinear Schroedinger Equation as Both a PDE and a Dynamical System" (with David Cai and Kenneth T.R. McLaughlin), Handbook of Dynamical Systems, vol. 2, Elsevier Sciences B.V. 599-678 (2002).

"States of High Conductance in a Large-Scale Model of the Visual Cortex '' (with R. Shapley, M. Shelley and J. Wielaard), Journal of Computational Neuroscience 13, (2) 93-109 (2002).

“How Simple Cells are Made in a Nonlinear Network Model of the Visual Cortex” (with R. Shapley, M. Shelley, J. Wielaard), J. Neural Science, 21, 5203-5211 (2001).

“A Neuronal Network Model of the Macaque Primary Visual Cortex V1 Orientation Tuning and Dynamics in the Input Layer 4Cá” (with R. Shapley, M. Shelley, J.Wielaard) Proc Nat Acad, 97, 14 8087-8092 (2000).

“Chaotic and Turbulent Behavior of Unstable 1-D Nonlinear Dispersive Waves” (with D. Cai), Journal of Math Physics, 41, 6, 4125-4153 (2000).

“Spectral Bifurcations in Dispersive Wave Turbulence” (with D. Cai, A. Majda, E. Tabak), Proc Natl Acad Sci USA 96, 14216-14221 (1999).

“Whiskered Tori for Integrable pde’s Chaotic Behavior in Near Integrable pde’s” (with E. Overman), Surveys in Appl. Math, 1, 83-203, (1995).

Morse and Melnikov functions for NLS PDE’s, with Y. Li. Comm. Math. Phys., 162 175-214 (1994).

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