Non-focusing instabilities in coupled, integrable, nonlinear Schrödinger PDEs (2007)
M. Gregory Forest, Otis C. Wright, David W. Mclaughlin, David J. Muraki
AMS Subject Classification: 35Q55, 58F07. The nonlinear coupling of two scalar nonlinear Schrodinger (NLS) fields results in non-focusing instabilities that exist independently of the well-known...
Kinetic theory for neuronal network dynamics (2006)
Cai, David, Tao, Louis, Rangan, Aaditya V., McLaughlin, David W.
We present a detailed theoretical framework for statistical descriptions of neuronal networks and derive $(1+1)$-dimensional kinetic equations, without introducing any new parameters, directly from...
Whiskered Tori for Integrable Pde's: Chaotic Behavior in Near Integrable Pde's (2005)
This is the final report for a project studying the perturbed sine- Gordon partial differential equations and the nonlinear Schrodinger partial differential equations. We studied low-dimensional...
Modulational Stability of Two-Phase Sine-Gordon Wavetrains. (2002)
McLaughlin,David W., Forest,M. Gregory, Ercolani,Nicholas
The modulational stability of real, two-phase sine-Gordon wavetrains are studied. There are three classes of such waves; we find the kink-kink trains are stable, while the breather trains and...
The nonlinear Schrödinger equation as both a PDE and a dynamical system (2002)
A Dynamical System, David Cai, David W. Mclaughlin
Nonlinear dispersive wave equations provide excellent examples of innite dimensional dynamical systems which possess diverse and fascinating phenomena including solitary waves and wave trains, the...
Mathematical Nonlinear Optics. (1998)
The principal investigator, together with two post-doctoral fellows, several graduate students, and colleagues, has applied the modern mathematical theory of nonlinear waves to problems in nonlinear...
Mathematical Nonlinear Optics (1998)
The general goal of this research is to develop the modern mathematical theory of nonlinear dispersive waves, and to apply this theory to applications in nonlinear optics. Aspects of the work also...
Mathematical Nonlinear Optics (1998)
This research concerns the development of the modern mathematical theory of nonlinear dispersive waves focusing on areas relevant for nonlinear optics and developing fundamental understanding which...
Investigation of Electromagnetic Field Propagation in Reverse Saturable Absorbers (1998)
McLaughlin, David W., Potasek, Mary
We have developed and implemented a numerical technique for the propagation of the electromagnetic field in a five-level reverse saturable absorber medium, which includes the nonlinear Kerr effect...
Mathematical Nonlinear Optics. (1997)
The principal investigator, together with a post-doctoral fellows Tetsuji Ueda and Xiao Wang, several graduate students, and colleagues, has applied the modern mathematical theory of nonlinear waves...
Mathematical Nonlinear Optics. (1996)
Mark Johnson's research during the past two years has addressed low-dimensional behavior in dynamical systems and dissipative partial differential equations specifically (1) Computation of 2-D...
Spectral bifurcations in dispersive wave turbulence
Cai, David, Majda, Andrew J., McLaughlin, David W., Tabak, Esteban G.
Dispersive wave turbulence is studied numerically for a class of one-dimensional nonlinear wave equations. Both deterministic and random (white noise in time) forcings are studied. Four distinct...
Hurst, Steven F., Reyes, Guadalupe H., McLaughlin, David W., Reiss, Errol, Morrison, Christine J.
A commercial latex agglutination assay (LA) and a sandwich enzyme immunoassay (SEIA) (Sanofi Diagnostics Pasteur, Marnes-la-Coquette, France) were compared with a competitive binding inhibition assay...
Comparative Evaluation of Five Serological Methods for the Diagnosis of Sporotrichosis
Blumer, Sharon O., Kaufman, Leo, Kaplan, William, McLaughlin, David W., Kraft, Dorothy E.
The diagnosis of sporotrichosis can be time consuming. Serological procedures could facilitate the rapid and accurate diagnosis of this disease. A slide latex agglutination (SLA) test for...
Specific Immunodiffusion Test for Blastomycosis
Kaufman, Leo, McLaughlin, David W., Clark, Maxine J., Blumer, Sharon
A specific immunodiffusion test for blastomycosis has been developed. The test permitted the detection of approximately 80% of 113 proven cases of blastomycosis. Two diagnostically important...
Stickle, David, Kaufman, Leo, Blumer, Sharon O., McLaughlin, David W.
A newly developed latex agglutination (LA) test and a modified immunodiffusion (ID) test were evaluated. The antigen used was a homogenate of Candida albicans. A total of 167 antisera were employed...
Cai, David, Tao, Louis, Shelley, Michael, McLaughlin, David W.
A coarse-grained representation of neuronal network dynamics is developed in terms of kinetic equations, which are derived by a moment closure, directly from the original large-scale...
Cai, David, Tao, Louis, McLaughlin, David W.
To address computational “scale-up” issues in modeling large regions of the cortex, many coarse-graining procedures have been invoked to obtain effective descriptions of neuronal network...
Architectural and synaptic mechanisms underlying coherent spontaneous activity in V1
Cai, David, Rangan, Aaditya V., McLaughlin, David W.
To investigate the existence and the characteristics of possible cortical operating points of the primary visual cortex, as manifested by the coherent spontaneous ongoing activity revealed by...
Rangan, Aaditya V., Cai, David, McLaughlin, David W.
Our large-scale computational model of the primary visual cortex that incorporates orientation-specific, long-range couplings with slow NMDA conductances operates in a fluctuating dynamic state of...
Spectral bifurcations in dispersive wave turbulence
Cai, David, Majda, Andrew J., McLaughlin, David W., Tabak, Esteban G.
Dispersive wave turbulence is studied numerically for a class of one-dimensional nonlinear wave equations. Both deterministic and random (white noise in time) forcings are studied. Four distinct...
Hurst, Steven F., Reyes, Guadalupe H., McLaughlin, David W., Reiss, Errol, Morrison, Christine J.
A commercial latex agglutination assay (LA) and a sandwich enzyme immunoassay (SEIA) (Sanofi Diagnostics Pasteur, Marnes-la-Coquette, France) were compared with a competitive binding inhibition assay...
Comparative Evaluation of Five Serological Methods for the Diagnosis of Sporotrichosis
Blumer, Sharon O., Kaufman, Leo, Kaplan, William, McLaughlin, David W., Kraft, Dorothy E.
The diagnosis of sporotrichosis can be time consuming. Serological procedures could facilitate the rapid and accurate diagnosis of this disease. A slide latex agglutination (SLA) test for...
Specific Immunodiffusion Test for Blastomycosis
Kaufman, Leo, McLaughlin, David W., Clark, Maxine J., Blumer, Sharon
A specific immunodiffusion test for blastomycosis has been developed. The test permitted the detection of approximately 80% of 113 proven cases of blastomycosis. Two diagnostically important...
Stickle, David, Kaufman, Leo, Blumer, Sharon O., McLaughlin, David W.
A newly developed latex agglutination (LA) test and a modified immunodiffusion (ID) test were evaluated. The antigen used was a homogenate of Candida albicans. A total of 167 antisera were employed...
Cai, David, Tao, Louis, Shelley, Michael, McLaughlin, David W.
A coarse-grained representation of neuronal network dynamics is developed in terms of kinetic equations, which are derived by a moment closure, directly from the original large-scale...
Cai, David, Tao, Louis, McLaughlin, David W.
To address computational “scale-up” issues in modeling large regions of the cortex, many coarse-graining procedures have been invoked to obtain effective descriptions of neuronal network...
Architectural and synaptic mechanisms underlying coherent spontaneous activity in V1
Cai, David, Rangan, Aaditya V., McLaughlin, David W.
To investigate the existence and the characteristics of possible cortical operating points of the primary visual cortex, as manifested by the coherent spontaneous ongoing activity revealed by...
Rangan, Aaditya V., Cai, David, McLaughlin, David W.
Our large-scale computational model of the primary visual cortex that incorporates orientation-specific, long-range couplings with slow NMDA conductances operates in a fluctuating dynamic state of...
Orientation selectivity in visual cortex by fluctuation-controlled criticality
Tao, Louis, Cai, David, McLaughlin, David W., Shelley, Michael J., Shapley, Robert
Within a large-scale neuronal network model of macaque primary visual cortex, we examined how intrinsic dynamic fluctuations in synaptic currents modify the effect of strong recurrent excitation on...
Quantifying neuronal network dynamics through coarse-grained event trees
Rangan, Aaditya V., Cai, David, McLaughlin, David W.
Animals process information about many stimulus features simultaneously, swiftly (in a few 100 ms), and robustly (even when individual neurons do not themselves respond reliably). When the brain...