2018
Parsimonious representation of nonlinear dynamical systems through manifold learning: A chemotaxis case study
Dsilva C, Talmon R, Coifman R, Kevrekidis I. Parsimonious representation of nonlinear dynamical systems through manifold learning: A chemotaxis case study. Applied And Computational Harmonic Analysis 2018, 44: 759-773. DOI: 10.1016/j.acha.2015.06.008.Peer-Reviewed Original ResearchNonlinear dynamical systemsDiffusion mapsLocal linear regressionNonlinear manifold learning algorithmDynamical systemsDynamical behaviorStochastic modelIntrinsic geometryEmbedding coordinatesSystem dimensionalitySynthetic data setsEigendirectionsComplex data setsParsimonious representationData setsSuch algorithmsManifold learning algorithmReal dataTrue dimensionalityManifold learningLearning algorithmAlgorithmCoordinatesDimensionalityManifold
2001
Thurston's geometrization conjecture and cosmological models
Yasuno K, Koike T, Siino M. Thurston's geometrization conjecture and cosmological models. Classical And Quantum Gravity 2001, 18: 1405. DOI: 10.1088/0264-9381/18/8/301.Peer-Reviewed Original ResearchGeometrization conjectureThurston's geometrization conjectureVector fieldsEinstein equationsThin shell approximationSpatial torusDynamical behaviorInhomogeneous spacetimesCosmological modelsVacuum spacetimesJunction conditionsSpacetimeTimelike hypersurfaceTorusConjectureConcrete modelApproximationEquationsHypersurfacesFormalismFieldModelFormulationSumProblem
1982
Inelastic neutron scattering analysis of hexokinase dynamics and its modification on binding of glucose
Jacrot B, Cusack S, Dianoux A, Engelman D. Inelastic neutron scattering analysis of hexokinase dynamics and its modification on binding of glucose. Nature 1982, 300: 84-86. PMID: 6752726, DOI: 10.1038/300084a0.Peer-Reviewed Original ResearchConceptsInelastic neutron scatteringInelastic neutronField of biophysicsAtomic motionNeutron scatteringDynamical informationDynamical behaviorLimited experimental informationExperimental informationTemperature dependenceBiological macromoleculesWide frequencyTheoretical understandingMean positionNeutronsScatteringDynamicsInternal mobilityMotionDependenceBiophysicsFrequencyFluctuationsFieldExistence
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