0000000000328916

AUTHOR

César R. García-jacas

showing 6 related works from this author

MuLiMs-MCoMPAs: A Novel Multiplatform Framework to Compute Tensor Algebra-Based Three-Dimensional Protein Descriptors

2019

This report introduces the MuLiMs-MCoMPAs software (acronym for Multi-Linear Maps based on N-Metric and Contact Matrices of 3D Protein and Amino-acid weightings), designed to compute tensor-based 3D protein structural descriptors by applying two- and three-linear algebraic forms. Moreover, these descriptors contemplate generalizing components such as novel 3D protein structural representations, (dis)similarity metrics, and multimetrics to extract geometrical related information between two and three amino acids, weighting schemes based on amino acid properties, matrix normalization procedures that consider simple-stochastic and mutual probability transformations, topological and geometrical…

Theoretical computer science010304 chemical physicsbusiness.industryGeneral Chemical EngineeringComputationGeneral ChemistryTensor algebraLibrary and Information Sciences01 natural sciences0104 chemical sciencesComputer Science ApplicationsWeighting010404 medicinal & biomolecular chemistryMatrix (mathematics)Software0103 physical sciencesPrincipal component analysisData pre-processingUser interfacebusinessJournal of Chemical Information and Modeling
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QuBiLS-MIDAS: A parallel free-software for molecular descriptors computation based on multilinear algebraic maps

2014

The present report introduces the QuBiLS-MIDAS software belonging to the ToMoCoMD-CARDD suite for the calculation of three-dimensional molecular descriptors (MDs) based on the two-linear (bilinear), three-linear, and four-linear (multilinear or N-linear) algebraic forms. Thus, it is unique software that computes these tensor-based indices. These descriptors, establish relations for two, three, and four atoms by using several (dis-)similarity metrics or multimetrics, matrix transformations, cutoffs, local calculations and aggregation operators. The theoretical background of these N-linear indices is also presented. The QuBiLS-MIDAS software was developed in the Java programming language and …

Multilinear mapTheoretical computer scienceSpeedupComputer scienceInterface (Java)business.industryComputationGeneral ChemistryComputational MathematicsTransformation matrixSoftwareTensor (intrinsic definition)ScalabilitybusinessJournal of Computational Chemistry
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LEGO-based generalized set of two linear algebraic 3D bio-macro-molecular descriptors: Theory and validation by QSARs

2019

Abstract Novel 3D protein descriptors based on bilinear, quadratic and linear algebraic maps in R n are proposed. The latter employs the kth 2-tuple (dis) similarity matrix to codify information related to covalent and non-covalent interactions in these biopolymers. The calculation of the inter-amino acid distances is generalized by using several dis-similarity coefficients, where normalization procedures based on the simple stochastic and mutual probability schemes are applied. A new local-fragment approach based on amino acid-types and amino acid-groups is proposed to characterize regions of interest in proteins. Topological and geometric macromolecular cutoffs are defined using local and…

0301 basic medicineStatistics and ProbabilityNormalization (statistics)GeneralizationQuantitative Structure-Activity RelationshipGeneral Biochemistry Genetics and Molecular Biology03 medical and health sciences0302 clinical medicineLinear regressionAmino AcidsMathematicsGeneral Immunology and MicrobiologyApplied MathematicsStatistical parameterProteinsGeneral MedicineCollinearityStructural Classification of Proteins databaseSupport vector machine030104 developmental biologyModeling and SimulationTest setLinear ModelsGeneral Agricultural and Biological SciencesAlgorithmSoftware030217 neurology & neurosurgeryJournal of Theoretical Biology
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QuBiLS-MAS, open source multi-platform software for atom- and bond-based topological (2D) and chiral (2.5D) algebraic molecular descriptors computati…

2017

Background In previous reports, Marrero-Ponce et al. proposed algebraic formalisms for characterizing topological (2D) and chiral (2.5D) molecular features through atom- and bond-based ToMoCoMD-CARDD (acronym for Topological Molecular Computational Design-Computer Aided Rational Drug Design) molecular descriptors. These MDs codify molecular information based on the bilinear, quadratic and linear algebraic forms and the graph-theoretical electronic-density and edge-adjacency matrices in order to consider atom- and bond-based relations, respectively. These MDs have been successfully applied in the screening of chemical compounds of different therapeutic applications ranging from antimalarials…

0301 basic medicineTheoretical computer scienceComputer scienceBilinear interpolationLibrary and Information SciencesTopologyLinear01 natural scienceslcsh:ChemistryToMoCoMD-CARDDDouble stochastic03 medical and health sciencesMatrix (mathematics)SoftwareQuadratic equationMolecular descriptorAtom/bond-based molecular descriptorPhysical and Theoretical ChemistryAlgebraic numberSimple stochasticFree and open source softwarelcsh:T58.5-58.64lcsh:Information technologybusiness.industryQSARMutual probability matricesComputer Graphics and Computer-Aided DesignRotation formalisms in three dimensions0104 chemical sciencesComputer Science Applications010404 medicinal & biomolecular chemistry030104 developmental biologylcsh:QD1-999CheminformaticsBilinear and quadratic indicesbusinessNon-stochasticSoftwareQuBiLS-MASJournal of cheminformatics
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Smoothed Spherical Truncation based on Fuzzy Membership Functions: Application to the Molecular Encoding.

2019

A novel spherical truncation method, based on fuzzy membership functions, is introduced to truncate interatomic (or interaminoacid) relations according to smoothing values computed from fuzzy membership degrees. In this method, the molecules are circumscribed into a sphere, so that the geometric centers of the molecules are the centers of the spheres. The fuzzy membership degree of each atom (or aminoacid) is computed from its distance with respect to the geometric center of the molecule, by using a fuzzy membership function. So, the smoothing value to be applied in the truncation of a relation (or interaction) is computed by averaging the fuzzy membership degrees of the atoms (or aminoacid…

010304 chemical physicsRelation (database)TruncationGeneral Chemistry010402 general chemistry01 natural sciencesFuzzy logic0104 chemical sciencesSet (abstract data type)Computational MathematicsEncoding (memory)Molecular descriptor0103 physical sciencesPrincipal component analysisAlgorithmSmoothingMathematicsJournal of computational chemistry
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Novel 3D bio-macromolecular bilinear descriptors for protein science: Predicting protein structural classes

2015

In the present study, we introduce novel 3D protein descriptors based on the bilinear algebraic form in the ℝn space on the coulombic matrix. For the calculation of these descriptors, macromolecular vectors belonging to ℝn space, whose components represent certain amino acid side-chain properties, were used as weighting schemes. Generalization approaches for the calculation of inter-amino acidic residue spatial distances based on Minkowski metrics are proposed. The simple- and double-stochastic schemes were defined as approaches to normalize the coulombic matrix. The local-fragment indices for both amino acid-types and amino acid-groups are presented in order to permit characterizing fragme…

Models MolecularProtein structural classesMathematical parametersProtein functionQuantitative Structure-Activity RelationshipBilinear interpolationQuantitative structure activity relation3D protein descriptorBilinear formProceduresChemical structureStatistical parametersMinkowski spaceProtein analysisAmino AcidsPriority journalMathematicsInterpretabilityQuantitative Biology::BiomoleculesApplied MathematicsStatistical parameterValidation studyGeneral MedicineComputer simulationDiscriminant analysisReproducibilityAmino acidAlgorithmChemistryProtein conformationModeling and SimulationStatistical modelGeneral Agricultural and Biological SciencesBiological systemAmino acid analysisAlgorithmsNonbiological modelStatistics and ProbabilityCorrelation coefficientLDAMacromolecular SubstancesMarkov chainMacromoleculeStructure analysisModels BiologicalArticleGeneral Biochemistry Genetics and Molecular BiologyCombinatoricsStochastic processesBilinear formBiologyMatrixGeneral Immunology and MicrobiologyProteinCoulombic matrixComputational BiologyProteinsReproducibility of ResultsLinear discriminant analysisWeightingCorrelation coefficientProtein structureBiological modelLinear ModelsThree-dimensional modelingJournal of Theoretical Biology
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