Search results for "R0"

showing 10 items of 62 documents

[18F]PR04.MZ PET/CT Imaging for Evaluation of Nigrostriatal Neuron Integrity in Patients With Parkinson Disease.

2020

Introduction Degeneration of dopaminergic, nigrostriatal neurons is the hallmark of Parkinson disease (PD), and PET quantification of dopamine transporters is a widely accepted method for differential diagnosis between idiopathic PD and essential tremor. [18F]PR04.MZ is a new PET tracer with excellent imaging properties allowing for precise quantification of striatal and extrastriatal dopamine transporter. Here we describe our initial experience with [18F]PR04.MZ PET/CT in a larger cohort of healthy controls and PD patients as a proof-of-concept study for this tracer. Methods Eighteen healthy subjects, 19 early PD patients (Hoehn-Yahr I–II), and 13 moderate-advanced PD patients (Hoehn-Yahr …

MaleDopamineCaudate nucleusPET imagingSubstantia nigra[18F]PR04.MZ030218 nuclear medicine & medical imagingCohort Studies03 medical and health sciences0302 clinical medicineDopaminePositron Emission Tomography Computed TomographyMedicineHumansRadiology Nuclear Medicine and imagingdopamine transporterDopamine transporterAgedNeuronsDopamine Plasma Membrane Transport ProteinsbiologyEssential tremorbusiness.industryPars compactaPutamenDopaminergicParkinson DiseaseGeneral MedicineOriginal ArticlesMiddle Agedmedicine.diseaseSubstantia Nigranervous system030220 oncology & carcinogenesisbiology.proteinmovement disordersFemalebusinessNuclear medicinemedicine.drugClinical nuclear medicine
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Alumina supported Pt(1%)/Ce0.6Zr0.4O2 monolith: Remarkable stabilization of ceria–zirconia solution towards CeAlO3 formation operated by Pt under red…

2009

Abstract A structured Pt(1 wt%)/ceria–zirconia/alumina catalyst and the metal-free ceria–zirconia/alumina were prepared, by dip-coating, over a cordierite monolithic support. XRD analyses and Rietveld refinements of the structural data demonstrate that in the Pt supported catalysts ceria–zirconia is present as a Ce 0.6 Zr 0.4 O 2 homogeneous solid solution and that the deposition over the cordierite doesn’t produce any structural modification. Moreover no Pt sintering occurs. By comparing the XRD patterns recorded on Pt/ceria–zirconia/alumina and ceria–zirconia/alumina after three redox cycles, it results that Pt, favouring the structural reorganization of the ceria–zirconia into one cubic …

Materials scienceSinteringMineralogyCordieriteengineering.materialHeterogeneous catalysisRedoxCatalysisCatalysiscordierite monolithPt/Ce0.6Zr0.4O2/aluminaCubic zirconiaMonolithCeAlO3 formationGeneral Environmental Sciencegeographygeography.geographical_feature_categoryProcess Chemistry and TechnologyRietveld refinementChemical engineeringSettore CHIM/03 - Chimica Generale E InorganicaTEM/SEM investigationNO SCRengineeringCO and C3H6 oxidationSolid solutionApplied Catalysis B: Environmental
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Calder\'on's problem for p-Laplace type equations

2016

We investigate a generalization of Calder\'on's problem of recovering the conductivity coefficient in a conductivity equation from boundary measurements. As a model equation we consider the p-conductivity equation with p strictly between one and infinity, which reduces to the standard conductivity equation when p equals two, and to the p-Laplace equation when the conductivity is constant. The thesis consists of results on the direct problem, boundary determination and detecting inclusions. We formulate the equation as a variational problem also when the conductivity may be zero or infinity in large sets. As a boundary determination result we recover the first order derivative of a smooth co…

Mathematics - Analysis of PDEs35R30 (Primary) 35J92 35R05 35D30 35Q60 35Q79 35J20 35J25 35H99 35A15 35A01 35A02 80A23 (Secondary)
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Loomis-Whitney inequalities in Heisenberg groups

2021

This note concerns Loomis-Whitney inequalities in Heisenberg groups $\mathbb{H}^n$: $$|K| \lesssim \prod_{j=1}^{2n}|\pi_j(K)|^{\frac{n+1}{n(2n+1)}}, \qquad K \subset \mathbb{H}^n.$$ Here $\pi_{j}$, $j=1,\ldots,2n$, are the vertical Heisenberg projections to the hyperplanes $\{x_j=0\}$, respectively, and $|\cdot|$ refers to a natural Haar measure on either $\mathbb{H}^n$, or one of the hyperplanes. The Loomis-Whitney inequality in the first Heisenberg group $\mathbb{H}^1$ is a direct consequence of known $L^p$ improving properties of the standard Radon transform in $\mathbb{R}^2$. In this note, we show how the Loomis-Whitney inequalities in higher dimensional Heisenberg groups can be deduced…

Mathematics - Classical Analysis and ODEsSobolev inequalityClassical Analysis and ODEs (math.CA)FOS: Mathematicsmittateoria28A75 52C99 46E35 35R03isoperimetric inequalityepäyhtälötfunktionaalianalyysiLoomis–Whitney inequalityHeisenberg groupRadon transformmatemaattinen analyysi
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A rigidity problem on the round sphere

2015

We consider a class of overdetermined problems in rotationally symmetric spaces, which reduce to the classical Serrin's overdetermined problem in the case of the Euclidean space. We prove some general integral identities for rotationally symmetric spaces which imply a rigidity result in the case of the round sphere.

Mathematics - Differential GeometryPure mathematicsEuclidean spaceApplied MathematicsGeneral Mathematics010102 general mathematicsMathematics::Analysis of PDEsComputer Science::Numerical Analysis01 natural sciencesOverdetermined systemrotationally symmetric spaceMathematics - Analysis of PDEsRigidity (electromagnetism)rigidityDifferential Geometry (math.DG)Settore MAT/05 - Analisi Matematica0103 physical sciencesRound sphereFOS: MathematicsPrimary 35R01 35N25 Secondary: 53C24 58J05Overdetermined PDE010307 mathematical physics0101 mathematicsAnalysis of PDEs (math.AP)Mathematics
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Algebraic models of the Euclidean plane

2018

We introduce a new invariant, the real (logarithmic)-Kodaira dimension, that allows to distinguish smooth real algebraic surfaces up to birational diffeomorphism. As an application, we construct infinite families of smooth rational real algebraic surfaces with trivial homology groups, whose real loci are diffeomorphic to $\mathbb{R}^2$, but which are pairwise not birationally diffeomorphic. There are thus infinitely many non-trivial models of the euclidean plane, contrary to the compact case.

Mathematics - Differential GeometryPure mathematicsaffine complexificationLogarithmReal algebraic model01 natural sciencesMathematics - Algebraic GeometryMathematics::Algebraic Geometry0103 physical sciencesEuclidean geometryAlgebraic surfaceaffine surfaceFOS: Mathematics0101 mathematicsInvariant (mathematics)Algebraic numberMathematics::Symplectic GeometryAlgebraic Geometry (math.AG)MathematicsAlgebra and Number Theory010102 general mathematics[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]q-homology planesbirational diffeomorphismDifferential Geometry (math.DG)[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]rational fibrationPairwise comparison010307 mathematical physicsGeometry and TopologyDiffeomorphism[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]14R05 14R25 14E05 14P25 14J26[MATH.MATH-DG] Mathematics [math]/Differential Geometry [math.DG]Singular homology
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Could the recent zika epidemic have been predicted?

2017

AbstractGiven knowledge at the time, the recent 2015-2016 zika virus (ZIKV) epidemic probably could not have been predicted. Without the prior knowledge of ZIKV being already present in South America, and given the lack of understanding of key epidemiologic processes and long-term records of ZIKV cases in the continent, the best related prediction was for potential risk of an Aedes-borne disease epidemic. Here we use a recently published two-vector capacity model to assess the predictability of the conditions conducive to epidemics of diseases like zika, chikungunya or dengue, transmitted by the independent or concurrent presence of Aedes aegypti and Aedes albopictus. We compare the potenti…

Microbiology (medical)Aedes-borne diseasesLatin AmericanschikungunyaAedes albopictus010504 meteorology & atmospheric sciencesEpidemiologyzika030231 tropical medicinelcsh:QR1-502Aedes aegyptimedicine.disease_cause01 natural sciencesMicrobiologylcsh:MicrobiologyZika viruslaw.inventionZika virusDengue feverLong-range weather forecasting03 medical and health sciences0302 clinical medicinelawpredictabilitymedicineChikungunyaPredictabilityclimateEpidemics--ForecastingOriginal Research0105 earth and related environmental sciencesbiologyMosquitoes as carriers of diseasebiology.organism_classificationmedicine.diseaseVirologydengueGeographyTransmission (mechanics)R0 modelBasic reproduction numberDemography
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Affine Surfaces With a Huge Group of Automorphisms

2013

We describe a family of rational affine surfaces S with huge groups of automorphisms in the following sense: the normal subgroup Aut(S)alg of Aut(S) generated by all algebraic subgroups of Aut(S) is not generated by any countable family of such subgroups, and the quotient Aut(S)/Aut(S)alg cointains a free group over an uncountable set of generators.

Normal subgrouprational fibrationsautomorphismsGroup (mathematics)General Mathematics010102 general mathematicsAutomorphism01 natural sciences[ MATH.MATH-AG ] Mathematics [math]/Algebraic Geometry [math.AG]CombinatoricsMathematics::LogicMathematics - Algebraic GeometryMathematics::Group Theory0103 physical sciencesFree groupCountable setUncountable set[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]010307 mathematical physics0101 mathematicsAlgebraic number14R25 14R20 14R05 14E05affine surfacesQuotientMathematicsInternational Mathematics Research Notices
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"Table 2" of "Production properties of D0, D+, D*+ and D(s)+ in 230-GeV/c pi- and K- Cu interactions"

1992

Data fitted with the form d2sig/dxdpt**2 alpha ((1-x)**N)* EXP(-B*PT**2) using combined maximum likelihood fit to the invariant mass spectrum and the x and pt**2 distributions. The values for N and B are given here. Additional systematic errors are 10 pct for N and 3 pct for B.

PI- CU --> D*(2010)+ XPI- CU --> D/S- XStrange productionPI- CU --> D*(2010)- XPI- CU --> D/S+ XDSIG/DXLPI- CU --> D+ XPI- CU --> DBAR0 XInclusiveSingle Differential Cross SectionPI- NUCLEUS --> CHARM XPI- NUCLEUS --> CHARMBAR XCharm productionPI- CU --> D- XPI- CU --> D0 XDSIG/DPT**22.300E+022.300E+02Transverse Momentum Dependence
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"Table 1" of "Production properties of D0, D+, D*+ and D(s)+ in 230-GeV/c pi- and K- Cu interactions"

1992

Data fitted with the form d2sig/dxdpt**2 alpha ((1-x)**N)* EXP(-B*PT**2) using combined maximum likelihood fit to the invariant mass spectrum and the x and pt**2 distributions. The values for N and B are given here. Additional systematic errors are 10 pct for N and 3 pct for B.

PI- CU --> D*(2010)+ XPI- CU --> D/S- XStrange productionPI- CU --> D*(2010)- XPI- CU --> D/S+ XDSIG/DXLPI- CU --> D+ XPI- CU --> DBAR0 XInclusiveSingle Differential Cross SectionPI- NUCLEUS --> CHARM XPI- NUCLEUS --> CHARMBAR XCharm productionPI- CU --> D- XPI- CU --> D0 XDSIG/DPT**22.300E+022.300E+02Transverse Momentum Dependence
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