@article {2271, title = {Behavior of interacting species in vacancy affinity capillary electrophoresis described by mass balance equation}, journal = {Electrophoresis}, volume = {29}, number = {16}, year = {2008}, note = {ISI Document Delivery No.: 343MCTimes Cited: 0Cited Reference Count: 42Sun, Ying Fang, Ning Chen, David D. Y.}, month = {Aug}, pages = {3333-3341}, type = {Article}, abstract = {Vacancy ACE (VACE) is one of the ACE methods, and has been used to study binding interactions between different biomolecules. Thermodynamic binding constants can be estimated with nonlinear regression methods. With a highly efficient computer simulation program (SimDCCE), it is possible to demonstrate the detailed behaviors of each species during the interaction process under different conditions. In this work, thirteen scenarios in four different combinations of migration orders of the free protein, free drug, and complex formed are studied. The detailed interaction process between protein and ligand is discussed and illustrated based on the mass balance equation, also called mass transfer equation. By properly setting the parameters in the simulation model, the influence of different factors during the interaction process can be well understood.}, keywords = {affinity capillary electrophoresis, binding constant, COMPUTER-SIMULATION, CONSTANTS, DRUG-PROTEIN-BINDING, equation, EXPERIMENTAL VALIDATION, FRONTAL ANALYSIS, HUMAN-SERUM-ALBUMIN, HUMMEL-DREYER, mass balance, method, PERFORMANCE LIQUID-CHROMATOGRAPHY, vacancy affinity capillary electrophoresis, WALL ADSORPTION, ZONE-ELECTROPHORESIS}, isbn = {0173-0835}, url = {://000258856900008}, author = {Sun, Y. and Fang, N. and Chen, D. D. Y.} } @article {2082, title = {Powder neutron diffraction determination of the structure of the o-xylene/zeolite ZSM-5 complex}, journal = {Microporous and Mesoporous Materials}, volume = {112}, number = {1-3}, year = {2008}, note = {ISI Document Delivery No.: 313AKTimes Cited: 1Cited Reference Count: 41Fyfe, Colin A. Lee, J. S. Joseph Cranswick, Lachlan M. D. Swainson, Ian}, month = {Jul}, pages = {299-307}, type = {Article}, abstract = {The structure of the complex of zeolite ZSM-5 (MFI) and ortho-xylene at a loading of four molecules per u.c. has been solved using powder neutron diffraction techniques and perdeuterated xylene. The structure is orthorhombic and the position and orientation of the organic is identical to that found previously by solid state NMR, attesting to the reliability of the NMR technique as a complement to diffraction methods. The maximum and minimum oxygen-oxygen distances of the elliptical 10-membered ring where the ortho-xylene is located are 8.86 angstrom and 7.45 angstrom, respectively, compared to corresponding distances of 9.13 angstrom and 7.32 angstrom found previously for the para-isomer, reflecting the different adjustments of the framework to the different sizes and shapes of the two guest molecules. (C) 2007 Elsevier Inc. All rights reserved.}, keywords = {CRYSTAL, FLUORIDE IONS, FRAMEWORK, HOST, LOCATION, method, MFI zeolite, NMR, ortho-xylene, PARA-XYLENE, powder neutron diffraction, SORBATE, X-RAY-DIFFRACTION, ZEOLITE ZSM-5}, isbn = {1387-1811}, url = {://000256713300034}, author = {Fyfe, C. A. and Lee, J. S. J. and Cranswick, L. M. D. and Swainson, I.} } @article {4328, title = {The Quadrature Discretization Method (QDM) in comparison with other numerical methods of solution of the Fokker-Planck equation for electron thermalization}, journal = {Journal of Mathematical Chemistry}, volume = {24}, number = {4}, year = {1998}, note = {ISI Document Delivery No.: 165EGTimes Cited: 7Cited Reference Count: 67}, pages = {291-319}, type = {Article}, abstract = {The determination of the relaxation of electrons in atomic gases continues to be an important physical problem. The main interest is the determination of the time scale for the thermalization of electrons in different moderators and the nature of the time-dependent electron energy distribution. The theoretical basis for the study of electron thermalization is the determination of the electron distribution function from a solution of the Lorentz-Fokker- Planck equation. The present paper considers a detailed comparison of different numerical methods of solution of the Lorentz-Fokker- Planck equation for the electron distribution function. The methods include a pseudospectral method referred to as the Quadrature Discretization Method (QDM) which is based on non-standard polynomial basis sets, a finite-difference method, and a Lagrange interpolation method. The Fokker-Planck equation can be transformed to a Schrodinger equation, and methods developed for the solution of either equation apply to the other.}, keywords = {ACCELERATION, BOLTZMANN-EQUATION, DISCRETE-ORDINATE, ENERGY-DISTRIBUTION, FIELD DEPENDENCE, method, MULTITERM CALCULATIONS, QUANTUM-MECHANICS, RARE-GAS MODERATORS, STOCHASTIC, TRANSPORT-COEFFICIENTS, VELOCITY DISTRIBUTION FUNCTION}, isbn = {0259-9791}, url = {://000078506600001}, author = {Leung, K. and Shizgal, B. D. and Chen, H. L.} } @article {4226, title = {The Quadrature Discretization Method (QDM) in the solution of the Schrodinger equation}, journal = {Journal of Mathematical Chemistry}, volume = {24}, number = {4}, year = {1998}, note = {ISI Document Delivery No.: 165EGTimes Cited: 12Cited Reference Count: 63}, pages = {321-343}, type = {Article}, abstract = {The Quadrature Discretization Method (QDM) is employed in the solution of several one-dimensional Schrodinger equations that have received considerable attention in the literature. The QDM is based on the discretization of the wave function on a grid of points that coincide with the points of a quadrature. The quadrature is based on a set of non-classical polynomials orthogonal with respect to a weight function. For a certain class of problems with potentials of the form that occur in supersymmetric quantum mechanics, the ground state wavefunction is known. In the present paper, the weight functions that are used are related to the ground state wavefunctions if known, or some approximate form. The eigenvalues and eigenfunctions of four different potential functions discussed extensively in the literature are calculated and the results are compared with published values.}, keywords = {ACCURATE EIGENVALUES, ANHARMONIC-OSCILLATORS, DISCRETE-ORDINATE, ENERGY-LEVELS, FOKKER-PLANCK EQUATION, HILL DETERMINANT APPROACH, INNER-PRODUCT TECHNIQUE, method, NONCLASSICAL BASIS FUNCTIONS, OPTICAL WAVE-GUIDES, QUANTUM-MECHANICAL MODELS}, isbn = {0259-9791}, url = {://000078506600002}, author = {Chen, H. L. and Shizgal, B. D.} }