Search results for "Mathematical parameters"

showing 3 items of 3 documents

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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epiModel: A system to build automatically systems of differential equations of compartmental type-epidemiological models

2011

In this paper we describe epiModel, a code developed in Mathematica that facilitates the building of systems of differential equations corresponding to type-epidemiological linear or quadratic models whose characteristics are defined in text files following an easy syntax. It includes the possibility of obtaining the equations of models involving age and/or sex groups. © 2011.

Systems of differential equationsDifferential equationsTheoretical computer scienceBuilding codesDifferential equationComputer scienceAutomatic building of systems of differential equationsDisease transmissionMathematical parametersMathematicaHealth InformaticsText fileComputer programEpidemiological modelType (model theory)Models BiologicalModellingArticleDisease predispositionQuadratic equationMathematical modelComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONComputer SimulationQuadratic modelsPriority journalSyntax (programming languages)Computer programText fileConvalescenceComputer Science ApplicationsCompartment modelType-epidemiological modelProgramming LanguagesEpidemiologic MethodsMATEMATICA APLICADADisease transmissionHuman
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All-Possible-Couplings Approach to Measuring Probabilistic Context

2013

From behavioral sciences to biology to quantum mechanics, one encounters situations where (i) a system outputs several random variables in response to several inputs, (ii) for each of these responses only some of the inputs may ‘‘directly’’ influence them, but (iii) other inputs provide a ‘‘context’’ for this response by influencing its probabilistic relations to other responses. These contextual influences are very different, say, in classical kinetic theory and in the entanglement paradigm of quantum mechanics, which are traditionally interpreted as representing different forms of physical determinism. One can mathematically construct systems with other types of contextuality, whether or …

mathematical parametersextended linear feasibility polytopekvanttimekaniikkasysteemibiologiatheorytodennäköisyysmatemaattinen analyysi
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