Search results for "A12"

showing 10 items of 60 documents

Two-dimensional Banach spaces with polynomial numerical index zero

2009

We study two-dimensional Banach spaces with polynomial numerical indices equal to zero.

/dk/atira/pure/subjectarea/asjc/2600/2608/dk/atira/pure/subjectarea/asjc/2600/2607Eberlein–Šmulian theoremBanach manifoldFinite-rank operatorPolynomialMatrix polynomialFOS: MathematicsDiscrete Mathematics and Combinatorics/dk/atira/pure/subjectarea/asjc/2600/2602C0-semigroupLp spaceMathematicsMathematics::Functional AnalysisNumerical AnalysisBanach spaceAlgebra and Number TheoryMathematical analysisFunctional Analysis (math.FA)Mathematics - Functional Analysis46B04 (Primary) 46B20 46G25 47A12 (Secondary)Polynomial numerical indexInterpolation space/dk/atira/pure/subjectarea/asjc/2600/2612Geometry and TopologyNumerical rangeMonic polynomialLinear Algebra and its Applications
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Evaluation of serum CA 125 levels in patients with pelvic pain related to endometriosis.

2007

The aim of the study was to investigate the clinical value of the serum CA 125 level for diagnosing and determining the severity of endometriosis and pelvic pain associated with endometriosis. Eighty-six women who underwent operative laparoscopy were enrolled. Sixty-nine women with endometriosis and 17 without endometriosis participated in this study. In all of the patients, endometriosis was diagnosed and classified into stages according to the Revised American Fertility Society (R-AFS) classification. The mean serum CA 125 levels were determined in each patient. We also investigated the relationship between serum CA 125 concentration and the intensity of dysmenorrhea and dyspareunia in t…

0301 basic medicineAdultCancer Researchmedicine.medical_specialtyClinical BiochemistryCa 125 antigenEndometriosisEndometriosisPelvic PainSensitivity and SpecificityGastroenterologyAsymptomaticendometriosis ca125.Pathology and Forensic Medicine03 medical and health sciences0302 clinical medicineGynecologic Surgical ProceduresSettore MED/38 - Pediatria Generale E SpecialisticaDysmenorrheaStatistical significanceInternal medicineHumansMedicineIn patientGynecologybusiness.industryPelvic painMiddle Agedmedicine.disease030104 developmental biologyDyspareuniaOncology030220 oncology & carcinogenesisCA-125 AntigenClinical valueFemaleLaparoscopyOperative laparoscopymedicine.symptombusiness
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Space-filling vs. Luzin's condition (N)

2013

Let us assume that we are given two metric spaces, where the Hausdorff dimension of the first space is strictly smaller than the one of the second space. Suppose further that the first space has sigma-finite measure with respect to the Hausdorff measure of the corresponding dimension. We show for quite general metric spaces that for any measurable surjection from the first onto the second space, there is a set of measure zero that is mapped to a set of positive measure (both measures are the Hausdorff measures corresponding to the Hausdorff dimension of the first space). We also study more general situations where the measures on the two metric spaces are not necessarily the same and not ne…

28A75 (Primary) 54C10 26B35 28A12 28A20 (Secondary)General Mathematicsta111Hausdorff spaceMathematics::General TopologySpace (mathematics)Functional Analysis (math.FA)Mathematics - Functional AnalysisSurjective functionCombinatoricsSet (abstract data type)Metric spaceMathematics - Classical Analysis and ODEsHausdorff dimensionClassical Analysis and ODEs (math.CA)FOS: MathematicsMathematicsAnnales Academiae Scientiarum Fennicae Mathematica
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$\Omega$-symmetric measures and related singular integrals

2019

Let $\mathbb{S} \subset \mathbb{C}$ be the circle in the plane, and let $\Omega: \mathbb{S} \to \mathbb{S}$ be an odd bi-Lipschitz map with constant $1+\delta_\Omega$, where $\delta_\Omega>0$ is small. Assume also that $\Omega$ is twice continuously differentiable. Motivated by a question raised by Mattila and Preiss in [MP95], we prove the following: if a Radon measure $\mu$ has positive lower density and finte upper density almost everywhere, and the limit $$ \lim_{\epsilon \downarrow 0} \int_{\mathbb{C} \setminus B(x,\epsilon)} \frac{\Omega\left((x-y)/|x-y|\right)}{|x-y|} \, d\mu(y) $$ exists $\mu$-almost everywhere, then $\mu$ is $1$-rectifiable. To achieve this, we prove first that if …

28A75 28A12 28A78Plane (geometry)Mathematics - Classical Analysis and ODEsGeneral MathematicsMathematical analysisSingular integralConstant (mathematics)OmegaMathematics
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Integrability of orthogonal projections, and applications to Furstenberg sets

2022

Let $\mathcal{G}(d,n)$ be the Grassmannian manifold of $n$-dimensional subspaces of $\mathbb{R}^{d}$, and let $\pi_{V} \colon \mathbb{R}^{d} \to V$ be the orthogonal projection. We prove that if $\mu$ is a compactly supported Radon measure on $\mathbb{R}^{d}$ satisfying the $s$-dimensional Frostman condition $\mu(B(x,r)) \leq Cr^{s}$ for all $x \in \mathbb{R}^{d}$ and $r > 0$, then $$\int_{\mathcal{G}(d,n)} \|\pi_{V}\mu\|_{L^{p}(V)}^{p} \, d\gamma_{d,n}(V) \tfrac{1}{2}$ and $t \geq 1 + \epsilon$ for a small absolute constant $\epsilon > 0$. We also prove a higher dimensional analogue of this estimate for codimension-1 Furstenberg sets in $\mathbb{R}^{d}$. As another corollary of our method,…

28A80 (primary) 28A78 44A12 (secondary)Mathematics - Metric GeometryMathematics - Classical Analysis and ODEsGeneral MathematicsFurstenberg setsIncidencesClassical Analysis and ODEs (math.CA)FOS: MathematicsMathematics - CombinatoricsMetric Geometry (math.MG)k-plane transformCombinatorics (math.CO)Projections
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Revised nomenclature and classification of inherited ichthyoses: Results of the First Ichthyosis Consensus Conference in Soreze 2009

2010

Background: Inherited ichthyoses belong to a large, clinically and etiologically heterogeneous group of mendelian disorders of cornification; typically involving the entire integument. Over the recent years, much progress has been made defining their molecular causes. However, there is no internationally accepted classification and terminology. Objective: We sought to establish a consensus for the nomenclature and classification of inherited ichthyoses. Methods: The classification project started at the First World Conference on Ichthyosis in 2007. A large international network of expert clinicians, skin pathologists, and geneticists entertained an interactive dialogue over 2 years, eventua…

AdultMalemedicine.medical_specialtyCongenital ichthyosiform erythrodermaAdolescentautosomal recessive congenital ichthyosisDermatologySeverity of Illness Indexhistologymendelian disorders of cornificationYoung AdultCYP4F22Terminology as TopicCongenital ichthyosisMedicineHumansGenetic Predisposition to DiseasegeneticsABCA12Childbiologybusiness.industryIchthyosisInfant NewbornIchthyosisInfantkeratinopathic ichthyosisLamellar ichthyosisHarlequin IchthyosisCongresses as TopicIchthyosiform Erythroderma Congenitalepidermolytic ichthyosismedicine.diseasePrognosisDermatologyultrastructureGene Expression RegulationPractice Guidelines as Topicbiology.proteinFemaleDermatologic AgentsFrancesuperficial epidermolytic ichthyosisbusinessIchthyosis vulgarisJournal of the American Academy of Dermatology
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Normal forms of hyperbolic logarithmic transseries

2021

We find the normal forms of hyperbolic logarithmic transseries with respect to parabolic logarithmic normalizing changes of variables. We provide a necessary and sufficient condition on such transseries for the normal form to be linear. The normalizing transformations are obtained via fixed point theorems, and are given algorithmically, as limits of Picard sequences in appropriate topologies.

Applied MathematicsMathematics::History and OverviewFOS: Mathematicsfixed point theory ; formal normal forms ; hyperbolic fixed point ; Koenigs sequence ; linearization ; logarithmic transseries[MATH] Mathematics [math]Dynamical Systems (math.DS)Mathematics - Dynamical Systems[MATH]Mathematics [math]34C20 37C25 47H10 39B12 46A19 26A12 12J15AnalysisJournal of Differential Equations
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Dysfunction of Oskyddad causes Harlequin-type ichthyosis-like defects in Drosophila melanogaster.

2020

Prevention of desiccation is a constant challenge for terrestrial organisms. Land insects have an extracellular coat, the cuticle, that plays a major role in protection against exaggerated water loss. Here, we report that the ABC transporter Oskyddad (Osy)—a human ABCA12 paralog—contributes to the waterproof barrier function of the cuticle in the fruit fly Drosophila melanogaster. We show that the reduction or elimination of Osy function provokes rapid desiccation. Osy is also involved in defining the inward barrier against xenobiotics penetration. Consistently, the amounts of cuticular hydrocarbons that are involved in cuticle impermeability decrease markedly when Osy activity is reduced. …

Cancer ResearchLife CyclesEmbryologyMutantCell MembranesATP-binding cassette transporterQH426-470Biochemistry0302 clinical medicineLarvaeAnimal WingsLoss of Function MutationMedicine and Health SciencesDrosophila ProteinsAnimal AnatomyGenetics (clinical)Barrier functionSkin0303 health sciencesbiologyDrosophila MelanogasterEukaryotaAnimal ModelsHarlequin IchthyosisLipidsCell biologyInsectsExperimental Organism SystemsEmbryology and OrganogenesisDrosophilaDrosophila melanogasterCellular Structures and OrganellesAnatomyIntegumentary SystemEmbryologie et organogenèseDrosophila ProteinAutre (Sciences du Vivant)Research Article[SDV.OT]Life Sciences [q-bio]/Other [q-bio.OT]ArthropodaResearch and Analysis Methods03 medical and health sciencesModel OrganismsExtracellularGeneticsAnimalsABCA12DesiccationMolecular BiologyEcology Evolution Behavior and Systematics030304 developmental biologyEmbryosfungiOrganismsBiology and Life SciencesCell Biologybiology.organism_classificationInvertebrates[SDV.BDD.EO]Life Sciences [q-bio]/Development Biology/Embryology and Organogenesisbiology.proteinAnimal StudiesATP-Binding Cassette TransportersEpidermisZoology030217 neurology & neurosurgeryIchthyosis LamellarDevelopmental BiologyPLoS Genetics
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Genome-wide association analyses identify 18 new loci associated with serum urate concentrations

2013

Elevated serum urate concentrations can cause gout, a prevalent and painful inflammatory arthritis. By combining data from >140,000 individuals of European ancestry within the Global Urate Genetics Consortium (GUGC), we identified and replicated 28 genome-wide significant loci in association with serum urate concentrations (18 new regions in or near TRIM46, INHBB, SFMBT1, TMEM171, VEGFA, BAZ1B, PRKAG2, STC1, HNF4G, A1CF, ATXN2, UBE2Q2, IGF1R, NFAT5, MAF, HLF, ACVR1B-ACVRL1 and B3GNT4). Associations for many of the loci were of similar magnitude in individuals of non-European ancestry. We further characterized these loci for associations with gout, transcript expression and the fractional…

Candidate geneInhibins/geneticsGenome-wide association studyGENETIC-LOCIchemistry.chemical_compound0302 clinical medicineserum urateGene FrequencyGout/bloodassociation analysis serum urateGlucose/metabolismSettore MED/14 - NEFROLOGIAHyperuricemiaserum; urate; genePOPULATIONMETABOLIC SYNDROMEGenetics0303 health scienceseducation.field_of_studybiologyPolymorphism Single Nucleotide/genetics3. Good healthHYPERURICEMIAGenetic Loci/genetics/dk/atira/pure/sustainabledevelopmentgoals/good_health_and_well_beingSLC22A12Single Nucleotide/geneticsSNPsSignal TransductionMOLECULAR PHYSIOLOGYserum urate concentrations gout genome-wide meta-analysisEuropean Continental Ancestry GroupPopulationPolymorphism Single NucleotideWhite PeopleUric Acid/bloodserum urate concentrationsgenome-wide meta-analysis03 medical and health sciencesSDG 3 - Good Health and Well-beinguric acidGeneticsmedicineHumansInhibinsPolymorphismeducation030304 developmental biology030203 arthritis & rheumatologyAnalysis of VarianceGOUTIDENTIFICATIONTRANSPORTERCARDIOVASCULAR-DISEASE RISKta3121medicine.diseaseassociation analysisGoutmeta-analysisGlucosechemistryGenetic Locigenome-wide association studiesbiology.proteinSignal Transduction/geneticsUric acidURIC-ACID LEVELSGenome-Wide Association StudySLC2A9
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ABC A-subfamily transporters: Structure, function and disease

2006

AbstractABC transporters constitute a family of evolutionarily highly conserved multispan proteins that mediate the translocation of defined substrates across membrane barriers. Evidence has accumulated during the past years to suggest that a subgroup of 12 structurally related “full-size” transporters, referred to as ABC A-subfamily transporters, mediates the transport of a variety of physiologic lipid compounds. The emerging importance of ABC A-transporters in human disease is reflected by the fact that as yet four members of this protein family (ABCA1, ABCA3, ABCR/ABCA4, ABCA12) have been causatively linked to completely unrelated groups of monogenetic disorders including familial high-d…

Candidate geneSubfamilyProtein familyATP-binding cassette transporterDiseaseABCA3RetinaEvolution MolecularSurfactantAnimalsHumansDiseaseABCA12Molecular BiologyTangier DiseaseGeneticsbiologyIchthyosisLipidAtherosclerosisABCA1biology.proteinMolecular MedicineATP-Binding Cassette TransportersDisease SusceptibilityABC transporterBiochimica et Biophysica Acta (BBA) - Molecular Basis of Disease
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