Search results for "EXPANSION"

showing 10 items of 630 documents

Asymptotic stability of solutions to Volterra-renewal integral equations with space maps

2012

Abstract In this paper we consider linear Volterra-renewal integral equations (VIEs) whose solutions depend on a space variable, via a map transformation. We investigate the asymptotic properties of the solutions, and study the asymptotic stability of a numerical method based on direct quadrature in time and interpolation in space. We show its properties through test examples.

Asymptotic analysisApplied MathematicsNumerical analysisMathematical analysisvolterra renewalSpace mapVolterra integral equationMethod of matched asymptotic expansionsIntegral equationVolterra integral equationAsymptotic behaviorsymbols.namesakeExponential stabilityRenewal equationAsymptotologysymbolsNyström methodNumerical methodsAnalysisMathematicsJournal of Mathematical Analysis and Applications
researchProduct

A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary

2016

We study the Dirichlet problem in a domain with a small hole close to the boundary. To do so, for each pair $\boldsymbol\varepsilon = (\varepsilon_1, \varepsilon_2 )$ of positive parameters, we consider a perforated domain $\Omega_{\boldsymbol\varepsilon}$ obtained by making a small hole of size $\varepsilon_1 \varepsilon_2 $ in an open regular subset $\Omega$ of $\mathbb{R}^n$ at distance $\varepsilon_1$ from the boundary $\partial\Omega$. As $\varepsilon_1 \to 0$, the perforation shrinks to a point and, at the same time, approaches the boundary. When $\boldsymbol\varepsilon \to (0,0)$, the size of the hole shrinks at a faster rate than its approach to the boundary. We denote by $u_{\bolds…

Asymptotic analysisGeneral MathematicsBoundary (topology)Asymptotic expansion01 natural sciences35J25; 31B10; 45A05; 35B25; 35C20Mathematics - Analysis of PDEsSettore MAT/05 - Analisi MatematicaFOS: Mathematics[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]Mathematics (all)Mathematics - Numerical Analysis0101 mathematicsMathematicsDirichlet problemLaplace's equationDirichlet problemAnalytic continuationApplied Mathematics010102 general mathematicsMathematical analysisHigh Energy Physics::PhenomenologyReal analytic continuation in Banach spaceNumerical Analysis (math.NA)Physics::Classical Physics010101 applied mathematicsasymptotic analysisLaplace operatorPhysics::Space PhysicsAsymptotic expansion; Dirichlet problem; Laplace operator; Real analytic continuation in Banach space; Singularly perturbed perforated domain; Mathematics (all); Applied MathematicsAsymptotic expansionLaplace operator[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]Singularly perturbed perforated domainAnalytic functionAnalysis of PDEs (math.AP)Asymptotic expansion; Dirichlet problem; Laplace operator; Real analytic continuation in Banach space; Singularly perturbed perforated domain;
researchProduct

Excimer laser atherectomy in an uncrossable long chronic total occlusion through the subintimal space

2020

We present a successfully chronic total occlusions (CTO) coronary recanalisation with the subadventitial space by excimer laser atherectomy (ELCA) adjunctive therapy. Angiogram revealed non-significant diffuse disease of the left coronary system with a complex long proximal right coronary artery (RCA) CTO (J-CTO score 4) and collaterals (Rentrop Grade 2 and Werner classification CC1) from the septal branches (Figure 1, Panel A). CTO PCI of the RCA was then indicated and planned. Initially, antegrade approach and a retrograde approach technique were attempted without success. Thereafter, a rescue Antegrade Dissection Reentry strategy (ADR) was applied. A Pilot 200 (Abbott) was advanced in a …

Atherectomy Coronarymedicine.medical_specialtyAtherectomymedicine.medical_treatmentstent expansionCoronary AngiographyTotal occlusionintravascular ultrasoundAtherectomyIntravascular ultrasoundmedicineHumanscardiovascular diseaseschronic total occlusionmedicine.diagnostic_testExcimer laserbusiness.industrypercutaneous coronary interventionPercutaneous coronary interventionGeneral MedicineTreatment OutcomeCoronary OcclusionChronic DiseaseLasers ExcimerRadiologyExcimer laser coronary atherectomyCardiology and Cardiovascular MedicinebusinessExcimer laser coronary atherectomyActa Cardiologica
researchProduct

Macroeconomic fluctuations and educational inequalities in suicide mortality among working-age men in the Baltic countries and Finland in 2000–2015: …

2020

Abstract Introduction In the 2000s, the Baltic countries experienced unprecedented economic growth followed by a deep recession. This study aimed to examine changes and educational inequalities in suicide mortality among working-age men in the Baltic countries and Finland in relation to macroeconomic fluctuations. Methods We analysed changes in overall suicide mortality and by educational level between the 2000–2003, 2004–2007, 2008–2011 and 2012–2015 periods among men aged 30–64 years using census-linked longitudinal mortality data. We estimated age-standardised mortality rates, mortality rate ratios (Poisson regression), the relative index of inequality and slope index of inequality. Resu…

Baltic StatesMaleall cause mortalityEconomic expansionIndex (economics)SociologiSuicide mortalityRecessionmortality rateRecessionSOCIOECONOMIC INEQUALITIES0302 clinical medicineSociology10. No inequalityCRISISFinlandmedia_commonUNEMPLOYMENTadultRelative index of inequalityMortality ratelongitudinal study1. No povertyMiddle AgedEconomic cyclesSuicidePsychiatry and Mental healthGeographypriority journal5141 Sociology8. Economic growthsymbolsEducational StatusAdultunemploymentEUROPEInequalitymedia_common.quotation_subjectArticleEducationeducational status03 medical and health sciencessymbols.namesakemalefollow upHumansRATEShumanPoisson regressionMortalitygross national productsuicideBiological Psychiatryeconomic development030227 psychiatrywelfareSocioeconomic FactorsUnemploymentGREAT RECESSIONInequalitieseconomic recession030217 neurology & neurosurgeryDemographyJournal of Psychiatric Research
researchProduct

A correction method for dynamic analysis of linear systems

2004

Abstract This paper proposes an analytical method to improve the accuracy of the dynamic response of classically damped linear systems, as given by a standard truncated modal analysis. Upon computing the first m undamped modes of a n-degree-of-freedom system, two sets of equations in the Rn nodal space are built, which are uncoupled and govern the contribution to the response of the m computed modes and the remaining (n−m) unknown modes, respectively. The first set is solved in the Rm modal space by using the m available modes; the second set is solved in a reduced R(n−m) nodal space, without computing additional modes. Specifically, it is shown that the particular solution of the second se…

Basis (linear algebra)Series (mathematics)Particular solution of linear differential equationMechanical EngineeringModal analysis using FEMModal analysisLinear systemCorrection methodComputer Science ApplicationsMethod of undetermined coefficientsControl theoryModeling and SimulationConvergence (routing)Applied mathematicsGeneral Materials ScienceSeries expansionCivil and Structural EngineeringMathematicsTruncated modal analysis
researchProduct

The influence of the cycloid disc bearing type on the cycloidal speed reducer efficiency

2021

The robotics industry has experienced a rapid expansion in the last decade. As a result, the market of speed reducers with high gear ratios, high precision and a compact design is growing rapidly. In addition to these characteristics, it is very important for gear trains to have high efficiency. Because of their compact design, cycloidal speed reducers are not exposed to axial forces, which is their important characteristic. This means that radial bearings can be used in their supports. The bearing type has significant effects not only on the design and dimensions of the cycloid speed reducer but also on its efficiency. In this paper, an analysis of power losses for different types of rolli…

Bearing (mechanical)Reducerbusiness.industryRapid expansionMechanical engineeringRoboticsEngineering (General). Civil engineering (General)Power (physics)law.inventionGear trainlawCycloidArtificial intelligenceGear ratioTA1-2040businessMATEC Web of Conferences
researchProduct

Empirical molecular dynamics study of structural, elastic and thermodynamic properties of zinc-blende-like SiGe compound

2004

Abstract A three-body potential coupled with a molecular-dynamics method is used to calculate structural and thermodynamic properties of the hypothetical IV–IV compound SiGe in zinc-blende phase. A good agreement between the calculated and theoretical values of the lattice constant, the bulk modulus and its derivative, and the cohesive energy is obtained. We also compute the elastic constants, Debye temperature, lattice thermal expansion, and the specific heat. We investigate also, the structural properties of SiGe when rock-salt phase appears.

Bulk modulusMaterials scienceSpecific heatMechanical EngineeringThermodynamicschemistry.chemical_elementZincCondensed Matter PhysicsThermal expansionPhysics::Geophysicssymbols.namesakeMolecular dynamicsLattice constantchemistryMechanics of MaterialsLattice (order)symbolsGeneral Materials ScienceDebye modelMaterials Science and Engineering: B
researchProduct

Adoptive transfer of ex vivo expanded SARS‐CoV‐2‐specific cytotoxic lymphocytes: A viable strategy for COVID‐19 immunosuppressed patients?

2021

Cellular and humoral response to acute respiratory syndrome coronavirus 2 (SARS‐CoV‐2) infections is on focus of research. We evaluate herein the feasibility of expanding virus‐specific T cells (VST) against SARS‐CoV‐2 ex vivo through a standard protocol proven effective for other viruses. The experiment was performed in three different donors' scenarios: (a) SARS‐CoV‐2 asymptomatic infection/negative serology, (b) SARS‐CoV‐2 symptomatic infection/positive serology, and (c) no history of SARS‐CoV‐2 infection/negative serology. We were able to obtain an expanded VST product from donors 1 and 2 (1.6x and 1.8x increase of baseline VST count, respectively) consisting in CD3 + cells (80.3% and 6…

CD4-Positive T-LymphocytesAdoptive cell transferviruses030230 surgerymedicine.disease_causevirus-specific T cellsAsymptomaticSARS‐CoV‐2Serology03 medical and health sciences0302 clinical medicineCOVID‐19medicineCytotoxic T cellHumansRespiratory systemthird‐party donorsCoronavirusTransplantationbusiness.industrySARS-CoV-2COVID-19Original Articlesvirus‐specific T cellsAdoptive Transferlymphocyte expansionrespiratory virusInfectious DiseasesImmunologyRespiratory virus030211 gastroenterology & hepatologyOriginal Articlethird-party donorsmedicine.symptombusinessadoptive immunotherapyEx vivo
researchProduct

Effects of temperature and pressure on microcantilever resonance response.

2003

Abstract The variation in resonance response of microcantilevers was investigated as a function of pressure (10 −2 –10 6  Pa) and temperature (290–390 K) in atmospheres of helium (He) and dry nitrogen (N 2 ). Our results for a silicon cantilever under vacuum show that the frequency varies in direct proportion to the temperature. The linear response is explained by the decrease in Young's modulus with increasing the temperature. However, when the cantilever is bimaterial, the response is nonlinear due to differential thermal expansion. Resonance response as a function of pressure shows three different regions, which correspond to molecular flow regime, transition regime, and viscous regime. …

CantileverChemistryMean free pathThermodynamicschemistry.chemical_elementYoung's modulusMolecular physicsAtomic and Molecular Physics and OpticsThermal expansionElectronic Optical and Magnetic Materialssymbols.namesakeFree molecular flowDeflection (engineering)symbolsKnudsen numberInstrumentationHeliumUltramicroscopy
researchProduct

Volumetric changes of articular cartilage during stress relaxation in unconfined compression

2000

The time-dependent lateral expansion and load relaxation of cartilage cylinders subjected to unconfined compression were simultaneously recorded. These measurements were used to (1) test the assumption of incompressibility for articular cartilage, (2) measure the Poisson's ratio of articular cartilage in compression and (3) investigate the relationship between stress relaxation and volumetric change. Mechanical tests were performed on fetal, calf, and adult humeral head articular cartilage. The instantaneous Poisson's ratio of adult cartilage was 0.49+/-0.08 (mean+S.D.), thus confirming the assumption of incompressibility for this tissue. The instantaneous Poisson's ratio was significantly …

Cartilage ArticularAgingTime FactorsMaterials scienceBiomedical EngineeringBiophysicsArticular cartilageIn Vitro TechniquesLateral expansionPoisson distributionStress (mechanics)symbols.namesakeFetusPressuremedicineStress relaxationAnimalsOrthopedics and Sports MedicineCartilageRehabilitationAnatomyHumerusCompression (physics)Poisson's ratioBiomechanical Phenomenamedicine.anatomical_structureAnimals NewbornsymbolsCattleStress MechanicalBiomedical engineeringJournal of Biomechanics
researchProduct