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Communications on quantum similarity, part 3: A geometric-quantum similarity molecular superposition algorithm
ArticleAbstract: This work describes a new procedure to obtain optimal molecular superposition based on quantum similPalabras claves:Carbó QS index, geometric QS MS algorithm, inward functions of QS matrices, Kruskal trees, molecular superposition (MS), QS Aufbau principle, QS integrals, QS matrices, quantum similarity (QS), restricted elementary Jacobi rotationsAutores:Besalu E., Mercado L., Ramón Carbö-D̈orcaFuentes:scopusA Gaussian holographic theorem and the projection of electronic density functions into the surface of a sphere
ArticleAbstract: A theorem, associated to the holographic nature of general Gaussian functions, is employed to descriPalabras claves:ASA density functions, Electronic density functions (EDF), Gaussian holographic theorem, Projection of EDF into spherical surfacesAutores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusA general survey of molecular quantum similarity
ArticleAbstract: A comprehensive survey of the theoretical foundations and definitions associated with quantum similaPalabras claves:Atomic shell approximation, Convex sets, Definite positive operators, Density functions, discrete molecular representation, QSAR, QSPR, Quantum objects, Quantum similarity measures and indices, Similarity matrices, Tagged sets, vector semispacesAutores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusA procedure to obtain an accurate approximation to a full CI wavefunction
ArticleAbstract: Based on Jacobi elementary rotations, a simple, elegant procedure to obtain approximate CI wavefunctPalabras claves:Autores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusCentroid origin shift of quantum object sets and molecular point clouds description and element comparisons
ArticleAbstract: Shifting the origin of a known quantum object set (QOS) or of some discrete molecular point cloud (MPalabras claves:Centroid origin shift, Density functions, Molecular dissimilarity Euclidian distances, Molecular point clouds (MPC), Molecular point huts (MPH), Molecular similarity Carbó indices (CI), Quantum object sets (QOS), Quantum Similarity, Quantum similarity matrices (SM), Shape functions, Space of descriptors, Space of moleculesAutores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusFundamental quantum QSAR (Q<sup>2</sup>SAR) equation: Extensions, nonlinear terms and generalizations within extended Hilbert-Sobolev spaces
ArticleAbstract: The quantitative structure activity relationship (QSAR) equation was analyzed from the point of thePalabras claves:Extended expectation values, Extended Hilbert spaces, Extended quantum similarity measures, Extended Sobolev spaces, Extended wave functions, Quantum QSARAutores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusGeneration of molecular fields, quantum similarity measures and related questions
ArticleAbstract: A straightforward discussion on how to generate molecular fields is developed within the postulatesPalabras claves:Density functions, Electrostatic molecular potential, Quantum molecular fields, Quantum similarity fields, Quantum similarity measuresAutores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusExtending molecular similarity to energy surfaces: Boltzmann similarity measures and indices
ArticleAbstract: Maxwell-Boltzmann statistics provides the adequate mathematical background allowing to define similaPalabras claves:Autores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusMolecular quantum similarity and the fundamentals of QSAR
ArticleAbstract: A general overview on quantum similarity and applications to QSAR is presented. The concepts regardiPalabras claves:Autores:Amat L., Besalu E., Gironés X., Ramón Carbö-D̈orcaFuentes:scopusMolecular quantum similarity measures tuned 3D QSAR: An antitumoral family validation study
ArticleAbstract: In this work, a new methodology to construct a tuned QSAR model is presented, which is based on a coPalabras claves:Atomic shell approximation, Camptothecin analogues, Carbó index, Classical scaling analysis, Convex sets, DNA topoisomerase-I, Molecular quantum similarity measures, Promolecular densities, Similarity matrices, Tuned 3D QSARAutores:Amat L., Besalu E., Ramón Carbö-D̈orca, Robert D.Fuentes:scopus