Search results for "Contraction"

showing 10 items of 1092 documents

Tensor Operators and the Wigner-Eckart Theorem

2007

In this chapter we pave the way to the use of the coupling methods of Chap. 1 for manipulating operators and their matrix elements. To enable smooth application of the angular momentum methods, we introduce so-called spherical tensor operators. Spherical tensors can be related to Cartesian tensors. A Cartesian tensor of a given Cartesian rank can be reduced to spherical tensors of several spherical ranks. There is a very convenient procedure, the so-called Wigner-Eckart theorem, to separate the part containing the projection quantum numbers from the rest of the matrix element of a spherical tensor operator. The remaining piece, called the reduced matrix element, is rotationally invariant an…

Tensor contractionPhysicsWigner–Eckart theoremCartesian tensorSymmetric tensorTensorTensor densityTensor operatorMathematical physicsTensor field
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Intrinsic characterization of space‐time symmetric tensors

1992

This paper essentially deals with the classification of a symmetric tensor on a four‐dimensional Lorentzian space. A method is given to find the algebraic type of such a tensor. A system of concomitants of the tensor is constructed, which allows one to know the causal character of the eigenspace corresponding to a given eigenvalue, and to obtain covariantly their eigenvectors. Some algebraic as well as differential applications are considered.

Tensor contractionPure mathematicsFísica matemàticaTensor product of Hilbert spacesStatistical and Nonlinear PhysicsTopologia algebraicaTopologyTensor fieldSymmetric tensorRicci decompositionTensorMetric tensor (general relativity)Tensor densityMathematical PhysicsMathematicsJournal of Mathematical Physics
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Speckle based configuration for simultaneousin vitroinspection of mechanical contractions of cardiac myocyte cells

2013

In this manuscript we propose optical lensless configuration for a remote non-contact measuring of mechanical contractions of vast number of cardiac myocytes. All the myocytes were taken from rats, and the measurements were done in an in vitro mode. The optical method is based on temporal analysis of secondary reflected speckle patterns generated in lensless microscope configuration. The processing involves analyzing the movement and the change in the statistics of the generated secondary speckle patterns that are created on top of the cell culture when it is illuminated by a spot of laser beam. The main advantage of the proposed system is the ability to measure many cells simultaneously (a…

Thousand cellsContraction (grammar)Materials scienceMicroscopebusiness.industryCardiac myocyteLaserlaw.inventionOn cellsSpeckle patternOpticslawMyocytebusinessOptical Methods for Inspection, Characterization, and Imaging of Biomaterials
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Impact of oral contraceptive use and menstrual phases on patellar tendon morphology, biochemical composition, and biomechanical properties in female …

2013

Sex differences exist with regards to ligament and tendon injuries. Lower collagen synthesis has been observed in exercising women vs. men, and in users of oral contraceptives (OC) vs. nonusers, but it is unknown if OC will influence tendon biomechanics of women undergoing regular training. Thirty female athletes (handball players, 18–30 yr) were recruited: 15 long-term users of OC (7.0 ± 0.6 yr) and 15 nonusers (>5 yr). Synchronized values of patellar tendon elongation (obtained by ultrasonography) and tendon force were sampled during ramped isometric knee extensor maximum voluntary contraction to estimate mechanical tendon properties. Furthermore, tendon cross-sectional area and lengt…

Time FactorsPhysiologyBiopsyIsometric exercisemedicine.disease_causeJumpingta315media_commonUltrasonographyOrthodonticseducation.field_of_studyPatellar ligamentBiomechanicsta3141musculoskeletal systemMagnetic Resonance ImagingTendonBiomechanical PhenomenaExtracellular Matrixmedicine.anatomical_structureLigamentFemaleCollagenAdultmusculoskeletal diseasesmedicine.medical_specialtyAdolescentmedia_common.quotation_subjectPopulationta3111Young AdultPatellar LigamentPhysiology (medical)Isometric ContractionmedicineHumanseducationMuscle SkeletalMenstrual cycleMenstrual CycleAnalysis of Variancebusiness.industrySurgeryCross-Sectional StudiesAthletesCase-Control StudiesExercise TestbusinessBiomarkersContraceptives Oral
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Inhibitory influence of chromogranin A N-terminal fragment (vasostatin-1) on the spontaneous contractions of rat proximal colon

2005

Very little is known about the role played by CGA and its fragments in the gastrointestinal physiology. We have studied the role of CGA N-terminal fragments in the regulation of intestinal smooth muscle contractility by measuring the influence of recombinant CGA 1-78 (VS-1) and synthetic CGA 7-57 peptides on the spontaneous mechanical activity of rat proximal colon in vitro. The mechanical activity was recorded as changes in the intraluminal pressure. VS-1 (0.1-30 nM) and CGA 7-57 (10-300 nM) produced concentration-dependent inhibitory effects, characterized by a progressive decrease in the mean amplitude of circular muscle spontaneous contractions, without affecting the resting tone. The r…

Time FactorsPhysiologyClinical BiochemistrySettore BIO/09 - FisiologiaBiochemistrylaw.inventionchemistry.chemical_compoundEndocrinologylawEnzyme InhibitorsIntestinal smooth muscleOxadiazolesCGA-derived peptideVasostatin-1Chromogranin ASmooth muscle contractionRecombinant ProteinsNG-Nitroarginine Methyl EsterRecombinant DNATetrodotoxinMuscle Contractionendocrine systemmedicine.medical_specialtyColonTetrodotoxinBiologyInhibitory postsynaptic potentialApaminNitric oxideCellular and Molecular NeuroscienceQuinoxalinesInternal medicineChromograninsPressuremedicineAnimalsRats WistarDose-Response Relationship DrugMuscle SmoothNitric oxidePeptide FragmentsIn vitroProtein Structure TertiaryRatsGastrointestinal TractEndocrinologyApaminchemistrybiology.proteinChromogranin ACalreticulinPeptidesRegulatory Peptides
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Genetics of maximal walking speed and skeletal muscle characteristics in older women.

2008

AbstractThe aim of this study was to examine whether maximal walking speed, maximal isometric muscle strength, leg extensor power and lower leg muscle cross-sectional area (CSA) shared a genetic effect in common. In addition, we wanted to identify the chromosomal areas linked to maximal walking speed and these muscle characteristics and also investigate whether maximal walking speed and these three skeletal muscle characteristics are regulated by the same chromosomal areas. We studied 217 monozygotic (MZ) and dizygotic (DZ) female twin pairs aged 66 to 75 years in the Finnish Twin Study on Aging study. The DZ pairs (94) were genotyped for 397 microsatellite markers in 22 autosomes and X-chr…

TwinsIsometric exerciseWalkingBiologyChromosome 15Genetic linkageIsometric ContractionmedicineTwins DizygoticHumansMuscle StrengthMuscle SkeletalGenetics (clinical)FinlandAgedGeneticsLegAutosomeModels GeneticObstetrics and GynecologySkeletal muscleChromosomeChromosome MappingTwins MonozygoticTwin studyPreferred walking speedmedicine.anatomical_structurePediatrics Perinatology and Child HealthFemaleMicrosatellite RepeatsTwin research and human genetics : the official journal of the International Society for Twin Studies
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Weyl's theorem for perturbations of paranormal operators

2007

A bounded linear operator T ∈ L(X) on a Banach space X is said to satisfy "Weyl's theorem" if the complement in the spectrum of the Weyl spectrum is the set of all isolated points of the spectrum which are eigenvalues of finite multiplicity. In this paper we show that if T is a paranormal operator on a Hilbert space, then T + K satisfies Weyl's theorem for every algebraic operator K which commutes with T.

Unbounded operatorPure mathematicsApplied MathematicsGeneral MathematicsHilbert spaceBanach spaceMathematics::Spectral TheoryCompact operatorOperator spaceBounded operatorsymbols.namesakesymbolsWeyl transformationContraction (operator theory)MathematicsProceedings of the American Mathematical Society
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Shoulder muscle activation during stable and suspended push-ups at different heights in healthy subjects.

2015

Abstract Objectives To analyze shoulder muscle activation when performing push-ups under different stability conditions and heights. Study design Comparative study by repeated measures. Setting Valencia University laboratory. Participants 29 healthy males participated. Main outcome measures Subjects performed 3 push-ups each with their hands at 2 different heights (10 vs. 65 cm) under stable conditions and using a suspension device. Push-up speed was controlled and the testing order was randomized. The average amplitudes of the electromyographic root mean square of the long head of the triceps brachii (TRICEP), upper trapezius (TRAPS), anterior deltoid (DELT) and clavicular pectoralis (PEC)…

Upper trapeziusMalemedicine.medical_specialtyShoulderPhysical Therapy Sports Therapy and RehabilitationIsometric exerciseElectromyographyYoung AdultIsometric ContractionmedicineHumansOrthopedics and Sports MedicineExercise physiologyMuscle SkeletalExerciseOrthodonticsmedicine.diagnostic_testbusiness.industryElectromyographyHealthy subjectsRepeated measures designGeneral MedicineShoulder muscleHealthy VolunteersPush-upPhysical therapyArmbusinessPhysical therapy in sport : official journal of the Association of Chartered Physiotherapists in Sports Medicine
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Tyrosine Phosphorylation Modulates the Vascular Responses of Mesenteric Arteries from Human Colorectal Tumors

2013

The aim of this study was to analyze whether tyrosine phosphorylation in tumoral arteries may modulate their vascular response. To do this, mesenteric arteries supplying blood flow to colorectal tumors or to normal intestine were obtained during surgery and prepared for isometric tension recording in an organ bath. Increasing tyrosine phosphorylation with the phosphatase inhibitor, sodium orthovanadate produced arterial contraction which was lower in tumoral than in control arteries, whereas it reduced the contraction to noradrenaline in tumoral but not in control arteries and reduced the relaxation to bradykinin in control but not in tumoral arteries. Protein expression of VEGF-A and of th…

Vascular Endothelial Growth Factor Amedicine.medical_specialtyContraction (grammar)Article SubjectMedicinaBradykininlcsh:MedicineBiologyGeneral Biochemistry Genetics and Molecular BiologyTyrosine phosphorylationchemistry.chemical_compoundOrgan Culture TechniquesInternal medicinemedicineHumansPhosphorylationTyrosineSodium orthovanadateMesenteric arteriesVascular Endothelial Growth Factor Receptor-1Neovascularization PathologicGeneral Immunology and Microbiologylcsh:RTyrosine phosphorylationGeneral MedicineMesenteric ArteriesGene Expression Regulation NeoplasticVascular endothelial growth factor AEndocrinologymedicine.anatomical_structurechemistryTyrosinePhosphorylationVanadatesColorectal NeoplasmsResearch ArticleBioMed Research International
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Vascular Contraction Model Based on Multi-agent Systems

2017

This paper presents a first approximation to the simulation of vascular smooth muscle cell following an agent-based simulation approach. This simulation incorporates mathematical models that describe the behaviour of these cells, which are used by the agents in order to emulate vascular contraction. A first tool, implemented in Netlogo, is provided to allow the performance of the proposed simulation.

Vascular smooth muscleMathematical modelNetLogoControl theoryComputer scienceMulti-agent systemcomputercomputer.programming_languageVascular contraction
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