LIST OF PUBLICATIONS (since 1999; *CLICK HERE FOR FULL PUBLICATIONS LIST.)
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Zhou, D.; Rangan, A; McLaughlin, D; Cai, D. Spatiotemporal Dynamics of Neuronal Population Response in the Primary Visual Cortex PNAS, 110 (2013), no. 23 9517-9522.
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Cai, D.; Tao, L.; Shkarayev, M.; Rangan, A; McLaughlin, D.; Kovacic, G. The Role of Fluctuations in Coarse-Grained Descriptions of Neuronal Networks.Comm. Math. Sci. **10 *(2012), no. 1, 307-354.
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Cai, D.; Rangan, A.; McLaughlin, D. Quantifying Neuronal Network Dynamics through Coarse-Grained Event-Trees. PNAS, 105 (2008), no. 31, 10990-10995.
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Cai, D.; Rangan, A.; McLaughlin, D. Neuronal Information Encoding and Reduction of Dimension Network Dynamics. SIAM40(2007) no. 2.
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Cai, D.; Tao, L.; Rangan, A.; McLaughlin, D. Kinetic Theory for Neuronal Network Dynamics. Comm. Math. Sci 4 (2006), no. 1, 97-12.
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Guillamon, A.; McLaughlin, D.; Rinzel, J. Estimation of Synaptic Conductances. J. Physiology-Paris 100 (2006), no. 1-3, 31-42.
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Tao, L.; Cai, D.; McLaughlin, D.; Shelley, M. J.; Shapley, R. Orientation Selectivity in Visual Cortex by Fluctuation-Controlled Criticality. PNAS 103 (2006), no. 34, 12911-12916.
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Cai, D.; Rangan, A.; McLaughlin, D. Architectural and synaptic mechanisms underlying coherent spontaneous activity in V1. PNAS 102 (2005), no. 16, 5868- 5873.
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Rangan, A.; Cai, D.; McLaughlin, D. Modeling the spatio-temporal cortical activity associated with the line-motion illusion in primary visual cortex. PNAS 102 (2005), no. 52, 18793-18800.
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Cai, D.; Tao, L.; McLaughlin, D. An Embedded Network Approach for Scale-Up of Fluctuation-Driven Systems with Preservation of Spike Information. PNAS 101 (2004), no. 39, 14288-14293.
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Cai, D.; Tao, L.; Shelley, M.; McLaughlin, D. An effective kinetic representation of fluctuation-driven neuronal networks with application to simple and complex cells in visual cortex. PNAS 101(2004), no. 20, 7757-7762.
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Tao, L.; Shelley, M.; McLaughlin, D.; Shapley, R. An egalitarian network model for the emergence of simple and complex cells in visual cortex. PNAS 101 (2004), no. 1, 366-371.
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McLaughlin, D.; Shapley, R.; Shelley, M. Large-scale modeling of the primary visual cortex: influence of cortical architecture upon neuronal response. J. Physiol. Paris 97 (2003), no. 2-3, 237-252.
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McLaughlin, D.; Shapley, R.; Shelley, M.; Jin, J. High Conductance Dynamics of the Primary Visual Cortex. Perspectives and Problems in Nonlinear Science: A celebratory volume in honor of Lawrence Sirovich. Springer-Verlag, New York, 2003.
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Cai, D.; McLaughlin, D.; McLaughlin, K. T. R. The Nonlinear Schrödinger Equation as both a PDE and a Dynamical System. Handbook of Dynamical Systems, vol. 2, 599-678. North-Holland, Amsterdam, 2002.
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Shapley, R.; McLaughlin, D.; Shelley, M. Orientation Selectivity: models and neural mechanisms. The Handbook of Brain Theory and Neural Networks, 2nd ed. MIT Press, Cambridge, Mass., 2002.
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Shelley, M.; McLaughlin, D. Coarse-Grained Reduction and Analysis of a Network Model of Cortical Response: I. Drifting Grating Stimuli. J. Comput. Neurosci. 12 (2002), no. 2, 97-122.
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Shelley M.; McLaughlin D.; Shapley R.; Wielaard J. States of high conductance in a large-scale model of the visual cortex. J. Comput. Neurosci. 13 (2002), no. 2, 93-109.
» Cai, D.; Majda, A. J.; McLaughlin, D. W.; Tabak. E. G. Dispersive Wave Turbulence in One Dimension. Physica D 152-153 (2001), 551-572.
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Cai, D.; McLaughlin, D.; Shatah, J. Spatiotemporal Chaos in Spatially Extended Systems. Math. Comput. Simulation 55 (2001), no. 4-6, 329-340.
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Goodman, R.; Majda, A.; McLaughlin, D. Modulations in the Leading Edges of Midlatitude Storm Tracks. SIAM J. Appl. Math. 62 (2001), no. 3, 746-776.
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McLaughlin, D.; Shapley, R.; Shelley, M.; Tao, L. Complex Cells in a Simple Cell Network Model of V1 Cortex. Soc. Neurosci. (Abs) 27 (2001).
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Shapley, R.; McLaughlin, D.; Shelley, M.; Wielaard, J. Lateral Inhibition Generates Simple Cells in a Model of V1 Cortex. Invest. Ophthalmol. Vis. Sci. 42 (2001), Supp. #3901.
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Wielaard, D.J.; Shelley, M.; McLaughlin, D.; Shapley, R. How Simple Cells are Made in a Nonlinear Network Model of the Visual Cortex. J. Neurosci. 21 (2001), no. 14, 5203-5211.
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Cai, D.; McLaughlin, D. Chaotic and Turbulent Behavior of Unstable 1-D Nonlinear Dispersive Waves. J. Math. Phys. 41(2000), no. 6, 4125-4153.
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Chen, Y.; McLaughlin, D. Diffraction Effects on Diffusive Bistable Optical Arrays. Physica D 138 (2000), 163-195.>
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Forest, M. G.; Wright, O.; McLaughlin, D.; Muraki, D. Non-Focusing Instabilities in Coupled, Integrable Nonlinear Schrödinger PDE's. Journal of Nonlinear Science 10
(2000), 291-331.
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Kim, S.; McLaughlin, D.; Potasek, M. Propagation of the Electromagnetic Field in Optical Limiting Reverse Saturable Absorbers. Phys. Rev. A 61 (2000), 025801-1 - 025801-4.
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McLaughlin, D.; Shapley, R.; Shelley, M.; Wielaard, J. A Neuronal Network Model of the Macaque Primary Visual Cortex V1: Orientation Tuning and Dynamics in the Input Layer 4Ca. Proc. Nat. Acad. 97 (2000), no. 14, 8087-8092.
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Potasek, M.; Kim, S.; McLaughlin, D. All Optical-Power Limiting. J. Nonlinear Opt. Phys. Mater. 9 (2000), 343-364.
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Cai, D.; Majda, A.; McLaughlin, D.; Tabak, E. Spectral Bifurcations in Dispersive Wave Turbulence. PNAS 96 (1999), 14216-14221.
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Cai, D.; McLaughlin, D.; Shatah, J. Spatial-Temporal Chaos and Effective Stochastic Dynamics for a Near Integrable Non-linear System. Phys. Lett. A 253 (1999), 280-86.
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Chen, Y.; McLaughlin, D. Focusing-Defocusing Effects for Diffusion Dominated Bistable Optical Arrays. J. Opt. Soc. Am. B 16 (1999), no. 7, 1087-1098.
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Jin, S.; Levermore, D.; McLaughlin, D. The Semiclassical Limit of the Defocusing NLS Hierarchy. Comm. Pure Appl. Math. 52 (1999), no. 5, 613-654.
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McLaughlin, D.; Shapley, R.; Shelley, M.; Wielaard, J. Modeling of Orientation Dynamics in Visual Cortex. Soc. Neurosci. (Abs) 25 (1999).
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McLaughlin, D.; Shelley, M. Point Neuron and Mean Firing Rate Models of an Input Layer of the Primary Visual Cortex. Preprint, 1999.
FOR A FULL LIST OF PUBLICATIONS CLICK HERE