*CURRENT RESEARCH INTERESTS*

+ MODELING OF THE PRIMARY VISUAL CORTEX
+ VISUAL NEURAL SCIENCE
+ INTEGRABLE WAVES
+ CHAOTIC NONLINEAR WAVES
+ MATHEMATICAL OPTICAL WAVES

» CLICK HERE FOR FULL CV.

I work in theoretical visual neural science, with emphasis upon modeling of the primary visual cortex. The work requires methods from four aspects of modern
applied mathematics (mathematical modeling, computational science, formal asymptotics, and mathematical analysis), together with direct use of experimental data and design.

LIST OF PUBLICATIONS (since 1999; *CLICK HERE FOR FULL PUBLICATIONS LIST.)

» 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.

» 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.

» Cai, D.; Rangan, A.; McLaughlin, D. Quantifying Neuronal Network Dynamics through Coarse-Grained Event-Trees. PNAS, 105 (2008), no. 31, 10990-10995.

» Cai, D.; Rangan, A.; McLaughlin, D. Neuronal Information Encoding and Reduction of Dimension Network Dynamics. SIAM40(2007) no. 2.

» Cai, D.; Tao, L.; Rangan, A.; McLaughlin, D. Kinetic Theory for Neuronal Network Dynamics. Comm. Math. Sci 4 (2006), no. 1, 97-12.

» Guillamon, A.; McLaughlin, D.; Rinzel, J. Estimation of Synaptic Conductances. J. Physiology-Paris 100 (2006), no. 1-3, 31-42.

» 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.

» Cai, D.; Rangan, A.; McLaughlin, D. Architectural and synaptic mechanisms underlying coherent spontaneous activity in V1. PNAS 102 (2005), no. 16, 5868- 5873.

» 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.

» 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.

» 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.

» 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.

» 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.

» 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.

» 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.

» 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.

» 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. 

» 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.

» Cai, D.; McLaughlin, D.; Shatah, J. Spatiotemporal Chaos in Spatially Extended Systems. Math. Comput. Simulation 55 (2001), no. 4-6, 329-340.

» 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.  

» McLaughlin, D.; Shapley, R.; Shelley, M.; Tao, L. Complex Cells in a Simple Cell Network Model of V1 Cortex. Soc. Neurosci. (Abs) 27 (2001).  

» 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.

» 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.

» Cai, D.; McLaughlin, D. Chaotic and Turbulent Behavior of Unstable 1-D Nonlinear Dispersive Waves. J. Math. Phys. 41(2000), no. 6, 4125-4153.

» Chen, Y.; McLaughlin, D. Diffraction Effects on Diffusive Bistable Optical Arrays. Physica D 138 (2000), 163-195.>

» 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.

» 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.

» 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.

» Potasek, M.; Kim, S.; McLaughlin, D. All Optical-Power Limiting. J. Nonlinear Opt. Phys. Mater. 9 (2000), 343-364.

» Cai, D.; Majda, A.; McLaughlin, D.; Tabak, E. Spectral Bifurcations in Dispersive Wave Turbulence. PNAS 96 (1999), 14216-14221.

» 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.

» Chen, Y.; McLaughlin, D. Focusing-Defocusing Effects for Diffusion Dominated Bistable Optical Arrays. J. Opt. Soc. Am. B 16 (1999), no. 7, 1087-1098.

» Jin, S.; Levermore, D.; McLaughlin, D. The Semiclassical Limit of the Defocusing NLS Hierarchy. Comm. Pure Appl. Math. 52 (1999), no. 5, 613-654.

» McLaughlin, D.; Shapley, R.; Shelley, M.; Wielaard, J. Modeling of Orientation Dynamics in Visual Cortex. Soc. Neurosci. (Abs) 25 (1999).

» McLaughlin, D.; Shelley, M. Point Neuron and Mean Firing Rate Models of an Input Layer of the Primary Visual Cortex. Preprint, 1999.

 

  

 

 

 

 

 

 

 

 

 

 

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