Search results for "geometry."

showing 10 items of 4386 documents

Disturbed glucose metabolism and left ventricular geometry in the general population – results from the Gutenberg health study

2020

Abstract Background Prediabetes and type 2 diabetes mellitus (T2DM) have been demonstrated to alter left ventricular geometry and promote left ventricular (LV) hypertrophy (LVH). However, the impact of impaired glucose metabolism on cardiac structure is still not completely understood and controversially discussed. Purpose To investigate the impact of prediabetes and T2DM on left ventricular geometry and their potential interaction with LVH in the prediction of survival. Methods Data from the Gutenberg Health Study (N=15,010) – a population-based study with highly standardized phenotyping – were analysed. Information was obtained from computer-assisted personal interviews, medical-technical…

medicine.medical_specialtyeducation.field_of_studybusiness.industryInternal medicinePopulationmedicineCardiologyLeft ventricular geometryCarbohydrate metabolismCardiology and Cardiovascular MedicinebusinesseducationEuropean Heart Journal
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Magnetic resonance in isolated noncompaction of the ventricular myocardium

2010

Abstract Non-compaction of the ventricular myocardium (LCVM) is a rare disorder of myocardial morphogenesis usually diagnosed in paediatric age. The diagnosis was echocardiographically made on the basis of a reported spongeous/compacted ratio >2 in one or more segments of the left ventricle during the diastolic period. We aimed to test the diagnostic accuracy of cardiovascular magnetic resonance (CMR) imaging in distinguishing pathological left ventricular non-compaction. Methods We collected a consecutive series of 8 patients, 5 males and 3 females, with a mean age of 14.9 years with non-compaction of left ventricular myocardium. All patients were admitted in our divisions of cardiology. I…

medicine.medical_specialtyeducation.field_of_studymedicine.diagnostic_testbusiness.industryPopulationDiastoleMagnetic resonance imagingResonance myocardiumSettore MED/11 - Malattie Dell'Apparato CardiovascolareApex (geometry)Ventricular myocardiummedicine.anatomical_structureVentricleNon-compaction of the ventricular myocardium (LCVM)Internal medicinecardiovascular systemLeft ventricular myocardiummedicineCardiologyCardiology and Cardiovascular MedicinebusinesseducationGradient echoCardiovascular magnetic resonance (CMR)
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Disturbed Glucose Metabolism and Left Ventricular Geometry in the General Population

2021

Background: This study sought to investigate the prevalence and clinical outcome of left ventricular (LV) geometry in prediabetes and type 2 diabetes mellitus (T2DM) and the impact of glucose metabolism on the incidence of left ventricular hypertrophy (LVH). Methods: 15,010 subjects (35–74 years) of the population-based Gutenberg Health Study were categorized into euglycemia, prediabetes, and T2DM according to clinical and metabolic (HbA1c) information. Clinical outcome was assessed via structured follow-up. Results: The study comprised 12,121 individuals with euglycemia (81.6%), 1415 with prediabetes (9.5%), and 1316 with T2DM (8.9%). Prevalence of LVH increased from euglycemia (10.2%) ove…

medicine.medical_specialtyendocrine system diseasestype 2 diabetes mellitusPopulationprediabetesCarbohydrate metabolismleft ventricular concentric remodelingLeft ventricular hypertrophyArticleInternal medicineMedicineMass indexPrediabetescardiovascular diseaseseducationeducation.field_of_studybusiness.industryIncidence (epidemiology)Hazard ratioRType 2 Diabetes Mellitusnutritional and metabolic diseasesGeneral Medicinemedicine.diseaseleft ventricular hypertrophyleft ventricular geometryCardiologyMedicinebusinessJournal of Clinical Medicine
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The Relationship between the Transforming Growth Factor β1 T29C Gene Polymorphism and Left Ventricular Geometry and Function in Hypertensive Subjects

2009

The distribution of the T29C TGFβ1 gene polymorphism was analyzed in 198 hypertensives with left ventricular hypertrophy (LVH) and in 235 hypertensives without LVH. Circulating TGFβ1 levels, procollagen type III levels, microalbuminuria, and left ventricular geometry and function were evaluated in all the hypertensives with LVH subgrouped according to T29C TGFβ1 gene polymorphism. Circulating TGFβ1 was evaluated by ELISA technique, procollagen type III by a specific radioimmunoassay, microalbuminuria by radioimmunoassay, and left ventricular geometry and function by echocardiography. All groups were comparable for gender, age, and sex. Regarding T29C TGFβ1 gene polymorphism, prevalence of T…

medicine.medical_specialtylcsh:Diseases of the circulatory (Cardiovascular) systemSettore MED/09 - Medicina InternaArticle SubjectLeft ventricular hypertrophyExcretionGene PolymorphismInternal medicineGenotypeInternal MedicinemedicineTransforming Growth Factor β1 T29C; Gene Polymorphism; Left Ventricular Geometry; Hypertensioncardiovascular diseasesTransforming Growth Factor β1 T29CEjection fractionbusiness.industryLeft Ventricular GeometryRadioimmunoassaymedicine.diseaseSettore MED/45 - Scienze Infermieristiche Generali Cliniche E PediatricheSettore MED/11 - Malattie Dell'Apparato CardiovascolareEndocrinologylcsh:RC666-701HypertensionMicroalbuminuriaGene polymorphismbusinessResearch ArticleTransforming growth factorInternational Journal of Hypertension
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Abstract P153: Early Changes in Left-Atrial and Left-Ventricular Geometry and Function in Women After Preeclampsia as Detected by Cardiac Magnetic Re…

2019

Objectives: Preeclampsia (PE), the leading cause of maternal and neonatal morbidity and mortality, is associated with an increased long-term risk for cardiovascular disease (CVD). We aimed to characterize myocardium and investigate potential functional and structural cardiac alterations in asymptomatic women after PE using cardiovascular magnetic resonance (CMR) imaging. Methods and Results: We performed a post-pregnancy case-control study (clinicaltrials.gov ID: NCT03313063). In total, 22 cases and 23 controls were recruited. Participants were matched by age, BMI and parity. Hemodynamic and morphologic characteristics of the myocardium were assessed using established and innovative CMR te…

medicine.medical_specialtymedicine.diagnostic_testbusiness.industrymedicine.diseasePreeclampsiaNeonatal morbidityCardiac magnetic resonance imagingLeft atrialInternal medicineInternal MedicineCardiologyMedicineLeft ventricular geometrybusinessHypertension
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On one-dimensionality of metric measure spaces

2019

In this paper, we prove that a metric measure space which has at least one open set isometric to an interval, and for which the (possibly non-unique) optimal transport map exists from any absolutely continuous measure to an arbitrary measure, is a one-dimensional manifold (possibly with boundary). As an immediate corollary we obtain that if a metric measure space is a very strict $CD(K,N)$ -space or an essentially non-branching $MCP(K,N)$-space with some open set isometric to an interval, then it is a one-dimensional manifold. We also obtain the same conclusion for a metric measure space which has a point in which the Gromov-Hausdorff tangent is unique and isometric to the real line, and fo…

metric measure spacesMathematics - Differential GeometryApplied MathematicsGeneral MathematicsOpen setBoundary (topology)Metric Geometry (math.MG)Space (mathematics)53C23Measure (mathematics)metriset avaruudetManifoldCombinatoricsdifferentiaaligeometriaRicci curvatureDifferential Geometry (math.DG)optimal transportMathematics - Metric GeometryMetric (mathematics)FOS: MathematicsmittateoriaGromov--Hausdorff tangentsReal lineRicci curvatureMathematics
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Mappings of finite distortion between metric measure spaces

2015

We establish the basic analytic properties of mappings of finite distortion between proper Ahlfors regular metric measure spaces that support a ( 1 , 1 ) (1,1) -Poincaré inequality. As applications, we prove that under certain integrability assumption for the distortion function, the branch set of a mapping of finite distortion between generalized n n -manifolds of type A A has zero Hausdorff n n -measure.

metric measure spacesPure mathematicsInjective metric spaceta111Mathematical analysisMathematicsofComputing_GENERALProduct metricEquivalence of metricsConvex metric spaceIntrinsic metricDistortion (mathematics)mappings of finite distortionMetric (mathematics)Metric mapGeometry and TopologyMathematicsConformal Geometry and Dynamics of the American Mathematical Society
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Non-branching geodesics and optimal maps in strong CD(K,∞) -spaces

2014

We prove that in metric measure spaces where the entropy functional is Kconvex along every Wasserstein geodesic any optimal transport between two absolutely continuous measures with finite second moments lives on a non-branching set of geodesics. As a corollary we obtain that in these spaces there exists only one optimal transport plan between any two absolutely continuous measures with finite second moments and this plan is given by a map. The results are applicable in metric measure spaces having Riemannian Ricci curvature bounded below, and in particular they hold also for Gromov-Hausdorff limits of Riemannian manifolds with Ricci curvature bounded from below by some constant. peerReview…

metric measure spacesoptimal mapssMathematics::Metric GeometryMathematics::Differential Geometrynon-branching geodesic
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Uniformization of two-dimensional metric surfaces

2014

We establish uniformization results for metric spaces that are homeomorphic to the Euclidean plane or sphere and have locally finite Hausdorff 2-measure. Applying the geometric definition of quasiconformality, we give a necessary and sufficient condition for such spaces to be QC equivalent to the Euclidean plane, disk, or sphere. Moreover, we show that if such a QC parametrization exists, then the dilatation can be bounded by 2. As an application, we show that the Euclidean upper bound for measures of balls is a sufficient condition for the existence of a 2-QC parametrization. This result gives a new approach to the Bonk-Kleiner theorem on parametrizations of Ahlfors 2-regular spheres by qu…

metric surfacesPure mathematicsMathematics - Complex VariablesGeneral Mathematics010102 general mathematicsPrimary 30L10 Secondary 30C65 28A75 51F99 52A38Hausdorff spaceMetric Geometry (math.MG)01 natural sciencesUpper and lower boundsMetric spaceMathematics - Metric GeometryBounded function0103 physical sciencesMetric (mathematics)Euclidean geometryFOS: MathematicsMathematics::Metric Geometry010307 mathematical physicsComplex Variables (math.CV)0101 mathematicsUniformization (set theory)ParametrizationMathematicsInventiones mathematicae
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An EEMD Aided Comparison of Time Histories and Its Application in Vehicle Safety

2017

In the context of signal processing, the comparison of time histories is required for different purposes, especially for the model validation of vehicle safety. Most of the existing metrics focus on the mathematical value only. Therefore, they suffer the measuring errors, disturbance, and uncertainties and can hardly achieve a stable result with a clear physical interpretation. This paper proposes a novel scheme of time histories comparison to be used in vehicle safety analysis. More specifically, each signal for comparison is decomposed into a trend signal and several intrinsic mode functions (IMFs) by ensemble empirical mode decomposition. The trend signals reflect the general variation a…

model validationDynamic time warpingGeneral Computer ScienceComputer science02 engineering and technologyHilbert–Huang transformEngineering (all)0203 mechanical engineeringVehicle safety0202 electrical engineering electronic engineering information engineeringIn vehicledynamic time warping (DTW)General Materials Sciencevehicle crashSimulationSignal processingdynamic time warping (DTW); Ensemble Empirical Mode Decomposition (EEMD); model validation; Time-history; vehicle crash; Computer Science (all); Materials Science (all); Engineering (all)Computer Science (all)General Engineering020302 automobile design & engineeringEnsemble Empirical Mode Decomposition (EEMD)Measurement uncertainty020201 artificial intelligence & image processingMaterials Science (all)lcsh:Electrical engineering. Electronics. Nuclear engineeringlcsh:TK1-9971AlgorithmTime-historyShape analysis (digital geometry)Motor vehicle crash
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