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Fundamental 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: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:scopusOn quantum molecular similarity measures (QMSM) and indices (QMSI)
ArticleAbstract: Quantum molecular similarity measures (QMSM) and the possibility to construct a discrete n-dimensionPalabras claves:Autores:Amat L., Besalu E., Fradera X., Ramón Carbö-D̈orcaFuentes:scopusIdentification of Active Molecular Sites Using Quantum-Self-Similarity Measures
ArticleAbstract: A novel approach to construct theoretical QSAR models is proposed. This technique, based on the systPalabras claves:Autores:Amat L., Besalu E., Ponec R., Ramón Carbö-D̈orcaFuentes:scopusTriple density molecular quantum similarity measures: A general connection between theoretical calculations and experimental results
ArticleAbstract: A new quantum similarity measure is defined. It is proposed as a way to project density functions frPalabras claves:Density functions, molecular point clouds, molecular quantum engineering, point-molecules, Quantum similarity measures, structure-property relationships, Triple density similarity measuresAutores:Besalu E., Calabuig B., Martínez A., Ramón Carbö-D̈orcaFuentes:scopusQuantum mechanical origin of QSAR: Theory and applications
ArticleAbstract: In this paper, search is carried out on how to develop the formalism where quantum similarity measurPalabras claves:Convex sets, Definite positive operators, Density functions, Discrete molecular representations, Electrostatic molecular potentials, Generalised Carbo index, Generalised scalar products, Kinetic energy and angular momentum density functions, p-Valued problems, QSAR, QSPR, Quantum objects, Similarity matrices, Tagged ensembles, Tagged sets, vector semispacesAutores:Amat L., Besalu E., Gironés X., Ramón Carbö-D̈orca, Robert D.Fuentes:scopusQuantum molecular similarity measures (QMSM) as a natural way leading towards a theoretical foundation of quantitative structure-properties relationships (QSPR)
ArticleAbstract: Quantum molecular similarity measures (QMSM) are succinctly described and justified as a tool to obtPalabras claves:Autores:Amat L., Besalu E., Fradera X., Ramón Carbö-D̈orcaFuentes:scopusStereographic projection of density functions (DF) and the Holographic Electronic Density Theorem (HEDT)
ArticleAbstract: Mezey's holographic electronic density theorem is discussed from the point of view of stereographicPalabras claves:Autores:Besalu E., Ramón Carbö-D̈orcaFuentes:scopusStructure-activity relationships of a steroid family using quantum similarity measures and topological quantum similarity indices
ArticleAbstract: This work will try to study an application example of quantum similarity measures, in order to deterPalabras claves:Atomic shell approximation (ASA), Corticosteroid binding globulin (CBG), Molecular quantum similarity indices (MQSI), Molecular quantum similarity measures (MQSM), Multilinear regression (MLR), principal component analysis (PCA), Quantitative structure-activity relationships (QSAR), Topological matrix (TM), Topological quantum similarity indices (TQSI)Autores:Amat L., Besalu E., Lobato M., Ramón Carbö-D̈orcaFuentes:scopus