Search results for "L10"

showing 10 items of 79 documents

A Koebe distortion theorem for quasiconformal mappings in the Heisenberg group

2017

We prove a Koebe distortion theorem for the average derivative of a quasiconformal mapping between domains in the sub-Riemannian Heisenberg group $\mathbb{H}_1$. Several auxiliary properties of quasiconformal mappings between subdomains of $\mathbb{H}_1$ are proven, including distortion of balls estimates and local BMO-estimates for the logarithm of the Jacobian of a quasiconformal mapping. Applications of the Koebe theorem include diameter bounds for images of curves, comparison of integrals of the average derivative and the operator norm of the horizontal differential, as well as the study of quasiconformal densities and metrics in domains in $\mathbb{H}_1$. The theorems are discussed for…

Mathematics - Complex VariablesMathematics::Complex VariablesMetric Geometry (math.MG)Heisenberg groupQuasiconformal mappingKvasikonformikuvausKoebe distortion theoremMathematics - Analysis of PDEsMathematics - Metric GeometryFOS: MathematicsHeisenbergin ryhmäComplex Variables (math.CV)30L10 (Primary) 30C65 30F45 (Secondary)Analysis of PDEs (math.AP)
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Uniformization of metric surfaces using isothermal coordinates

2021

We establish a uniformization result for metric surfaces - metric spaces that are topological surfaces with locally finite Hausdorff 2-measure. Using the geometric definition of quasiconformality, we show that a metric surface that can be covered by quasiconformal images of Euclidean domains is quasiconformally equivalent to a Riemannian surface. To prove this, we construct suitable isothermal coordinates.

Mathematics - Complex VariablesMathematics::Complex VariablesPrimary 30L10 Secondary 30C65 28A75 51F99 52A38Metric Geometry (math.MG)ArticlesreciprocalityuniformizationisothermalMathematics - Metric GeometryQuasiconformalFOS: Mathematicssurfaceapproximate metric differentialComplex Variables (math.CV)
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Metric equivalences of Heintze groups and applications to classifications in low dimension

2021

We approach the quasi-isometric classification questions on Lie groups by considering low dimensional cases and isometries alongside quasi-isometries. First, we present some new results related to quasi-isometries between Heintze groups. Then we will see how these results together with the existing tools related to isometries can be applied to groups of dimension 4 and 5 in particular. Thus we take steps towards determining all the equivalence classes of groups up to isometry and quasi-isometry. We completely solve the classification up to isometry for simply connected solvable groups in dimension 4, and for the subclass of groups of polynomial growth in dimension 5.

Mathematics - Differential GeometrydifferentiaaligeometriaDifferential Geometry (math.DG)Mathematics - Metric GeometryGeneral MathematicsFOS: MathematicsMathematics::Metric GeometryryhmäteoriaMetric Geometry (math.MG)Group Theory (math.GR)20F67 53C23 22E25 17B70 20F69 30L10 54E40Mathematics - Group Theorymetriset avaruudet
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IP-10 is an accurate biomarker for the diagnosis of tuberculosis in children.

2014

Summary Objective Performance of IFN-γ assays in children is compromised. Therefore, we investigated the utility of IP-10 for the detection of active tuberculosis (TB) and latent tuberculosis infection (LTBI) diagnosis in children; comparing its positivity with QuantiFERON-TB Gold In-Tube (QFN-G-IT) and T-SPOT.TB. Methods We studied 230 children from three groups: active TB, screening (healthy children without known exposure to active TB patient screened at school or by their paediatrician) and contact-tracing studies. IFN-γ release was determined by QFN-G-IT and T-SPOT.TB. IP-10 was detected in QFN-G-IT supernatants by ELISA. Results When combining QFN-G-IT and IP-10 assays, positive resul…

Microbiology (medical)Malemedicine.medical_specialtyTuberculosisAdolescentT-LymphocytesEnzyme-Linked Immunosorbent AssayInterferon-gammaLatent TuberculosisInternal medicineActive tbmedicineHumansTuberculosisSignificant riskChildRetrospective StudiesAntigens BacterialLatent tuberculosisbusiness.industryActive tuberculosismedicine.diseaseHealthy VolunteersChemokine CXCL10Infectious DiseasesChild PreschoolImmunologyBiomarker (medicine)CytokinesFemalebusinessBiomarkersThe Journal of infection
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CXCR3-ligand-mediated skin inflammation in cutaneous lichenoid graft-versus-host disease.

2007

Background Lichenoid graft-versus-host disease (liGVHD) histologically shares several common features with other lichenoid dermatoses, such as cutaneous lupus erythematosus and lichen planus (LP), which collectively show a junctional infiltrate of cytotoxic lymphocytes with liquefaction of the basal layer ("interface dermatitis"). Because recent studies have shown a role for type I interferon (IFN)–associated inflammation, including lymphocyte recruitment via CXCR3 ligand interaction in cutaneous lupus erythematosus and LP, we hypothesized that similar mechanisms might also be involved in liGVHD. Methods Ten representative lesional skin biopsies taken from patients with different subsets of…

Myxovirus Resistance ProteinsChemokinePathologymedicine.medical_specialtyLichenoid EruptionsReceptors CXCR3CD3T-LymphocytesGraft vs Host DiseaseInflammationDermatitisDermatologyIn situ hybridizationCXCR3LigandsChemokine CXCL9Skin DiseasesGTP-Binding ProteinsMedicineCXCL10HumansLymphocytesRNA MessengerIn Situ Hybridizationbiologybusiness.industryLichen PlanusInterferon-alphaChemokine CXCL10stomatognathic diseasesImmunologyChronic DiseaseInterferon Type Ibiology.proteinCXCL9Immunohistochemistrymedicine.symptomEpidermisbusinessJournal of the American Academy of Dermatology
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Cancer cell–autonomous contribution of type I interferon signaling to the efficacy of chemotherapy

2014

International audience; The immune system is routinely confronted with cell death resulting from the physiological turnover of renewable tissues, as well as from pathological insults of several types. We hypothesize the existence of a mechanism that allows the immune system to discriminate between physiological and pathological instances of cell death, but the factors that determine whether cellular demise is perceived as a neutral, tolerogenic or immunogenic event remain unclear 1. Infectious insults are accompanied by so-called microbe-associated molecular patterns (MAMPs), i.e., viral or bacterial products that activate immune cells through a panel of pattern-recognition receptors (PRRs)…

Myxovirus Resistance ProteinsMessengerReceptor Interferon alpha-betaInbred C57BLchemotherapyInterferon alpha-betaMiceInterferonReceptorsAnthracyclinesNeoplasm MetastasisRIG-IPattern recognition receptorAdaptor ProteinsGeneral MedicineNeoadjuvant Therapy3. Good healthGene Expression Regulation NeoplasticTreatment OutcomeReceptors Pattern RecognitionInterferon Type I[SDV.IMM]Life Sciences [q-bio]/ImmunologyFemaleImmunocompetencemedicine.drugReceptorSignal TransductionBreast Neoplasms[SDV.CAN]Life Sciences [q-bio]/CancerBiologyPattern RecognitionSettore BIO/09General Biochemistry Genetics and Molecular BiologyParacrine signallingImmune systemmedicineCXCL10AnimalsHumanscancerRNA MessengerAutocrine signallingNeoplastic[SDV.IMM.IMM]Life Sciences [q-bio]/Immunology/ImmunotherapyToll-Like Receptor 3Mice Inbred C57BLVesicular TransportChemokine CXCL10Adaptor Proteins Vesicular TransportGene Expression RegulationDoxorubicinImmunologyTLR3RNAAdaptor Proteins Vesicular Transport; Animals; Anthracyclines; Breast Neoplasms; Chemokine CXCL10; Doxorubicin; Female; Gene Expression Regulation Neoplastic; Humans; Immunocompetence; Interferon Type I; Mice Inbred C57BL; Myxovirus Resistance Proteins; Neoadjuvant Therapy; Neoplasm Metastasis; RNA; RNA Messenger; Receptor Interferon alpha-beta; Receptors Pattern Recognition; Toll-Like Receptor 3; Treatment Outcome; Signal Transduction
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Bortezomib induction, reduced-intensity transplantation, and lenalidomide consolidation-maintenance for myeloma: updated results.

2013

A sequential approach including bortezomib induction, intermediate-dose melphalan, and autologous stem cell transplantation (ASCT), followed by lenalidomide consolidation-maintenance, has been evaluated. Efficacy and safety data have been analyzed on intention-to-treat and results updated. Newly diagnosed myeloma patients 65 to 75 years of age (n = 102) received 4 cycles of bortezomib-pegylated liposomal doxorubicin-dexamethasone, tandem melphalan (100 mg/m(2)) followed by ASCT (MEL100-ASCT), 4 cycles of lenalidomide-prednisone consolidation (LP), and lenalidomide maintenance (L) until disease progression. The complete response (CR) rate was 33% after MEL100-ASCT, 48% after LP and 53% after…

OncologyMelphalanMalemedicine.medical_specialtyImmunologyBortezomib-induction/Mel100-ASCT/lenalidomide consolidation-maintenance is effective in elderly patients with excellent performance status. Deaths related to AEs were higher in patients $70 years suggesting the need of a more careful patient selection.BiochemistryTransplantation AutologousDexamethasoneDisease-Free SurvivalDrug Administration SchedulePolyethylene GlycolsBortezomibAutologous stem-cell transplantationRecurrencehemic and lymphatic diseasesInternal medicineAntineoplastic Combined Chemotherapy ProtocolsmedicineHumansAdverse effectLenalidomideMelphalanDexamethasoneMultiple myelomaLenalidomideAgedBortezomib-induction/Mel100-ASCT/lenalidomide consolidation-maintenance is effective in elderly patients with excellent performance status. Deaths related to AEs were higher in patients $70 yearsbusiness.industryBortezomibCell BiologyHematologyMiddle Agedmedicine.diseasesuggesting the need of a more careful patient selectionBoronic AcidsSurgeryThalidomideTransplantationTreatment OutcomeDoxorubicinPyrazinesDisease ProgressionFemalebusinessMultiple Myelomamedicine.drugStem Cell Transplantation
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Ganodermycin, a novel inhibitor of CXCL10 expression from Ganoderma applanatum

2011

CXCL10 (inducible protein-10) is a highly inducible chemoattractant, which contributes to the recruitment of inflammatory cells, such as macrophages and T-lymphocytes, and thereby has important roles in chronic inflammatory conditions. In a search for new inhibitors of CXCL10 expression in MonoMac6 cells, a novel compound, designated as Ganodermycin, was isolated from fermentations of the basidiomycete Ganoderma applanatum. The structure was determined by a combination of spectroscopic techniques. Ganodermycin inhibited the lipopolysaccharide (LPS)/interferon (IFN)-γ-induced CXCL10 promoter activity in transiently transfected MonoMac6 cells in a dose-dependent manner with IC(50) values of 1…

PharmacologyLipopolysaccharidebiologyGanodermaChemotaxisTransfectionPharmacologybiology.organism_classificationMolecular biologychemistry.chemical_compoundGanoderma applanatumchemistryInterferonDrug DiscoveryProtein biosynthesismedicineCXCL10medicine.drugThe Journal of Antibiotics
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A bargaining model of Farrell inefficiency

1998

Abstract An enormous number of empirical papers have estimated technical efficiency, the distance of firms inside a frontier, following the model of Farrell (Farrell, 1957. The measurement of productive efficiency. Journal of the Royal Statistical Society Series A 120 (3), 253–290). We propose a theory that explains the distance these empirical papers seek to measure. The theory is based on the idea that workers can bargain low `effort' (high crew sizes etc.) if they and the firm have some monopoly power. We provide simple theoretical expressions for the empirical measures of technical and allocative efficiency and compare them to those in the statistical literature. We also consider the re…

Productive efficiencyEconomics and EconometricsRelation (database)Strategy and ManagementEconomics Econometrics and Finance (miscellaneous)Measure (mathematics)MicroeconomicsCompetition (economics)jel:J24Frontierjel:L10Competition; effort; technical efficiency; X-inefficiencyIndustrial relationsEconomicsAllocative efficiencyInefficiencyMonopoly
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Singular quasisymmetric mappings in dimensions two and greater

2018

For all $n \geq 2$, we construct a metric space $(X,d)$ and a quasisymmetric mapping $f\colon [0,1]^n \rightarrow X$ with the property that $f^{-1}$ is not absolutely continuous with respect to the Hausdorff $n$-measure on $X$. That is, there exists a Borel set $E \subset [0,1]^n$ with Lebesgue measure $|E|>0$ such that $f(E)$ has Hausdorff $n$-measure zero. The construction may be carried out so that $X$ has finite Hausdorff $n$-measure and $|E|$ is arbitrarily close to 1, or so that $|E| = 1$. This gives a negative answer to a question of Heinonen and Semmes.

Property (philosophy)General MathematicsExistential quantificationMathematics::General Topology01 natural sciencesfunktioteoriaCombinatoricsMathematics - Metric Geometry0103 physical sciences30L10FOS: MathematicsMathematics::Metric Geometry0101 mathematicsMathematicsLebesgue measuremetric space010102 general mathematicsHausdorff spaceZero (complex analysis)quasiconformal mappingMetric Geometry (math.MG)Absolute continuity16. Peace & justicemetriset avaruudetMetric spaceabsolute continuity010307 mathematical physicsBorel set
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