Search results for " nodal"

showing 10 items of 37 documents

Constant sign and nodal solutions for nonlinear robin equations with locally defined source term

2020

We consider a parametric Robin problem driven by a nonlinear, nonhomogeneous differential operator which includes as special cases the p-Laplacian and the (p,q)-Laplacian. The source term is parametric and only locally defined (that is, in a neighborhood of zero). Using suitable cut-off techniques together with variational tools and comparison principles, we show that for all big values of the parameter, the problem has at least three nontrivial smooth solutions, all with sign information (positive, negative and nodal).

010102 general mathematicsMathematical analysisMathematics::Spectral Theory01 natural sciencesLocally defined reactionTerm (time)Critical groups010101 applied mathematicsNonlinear systemConstant sign and nodal solutionsSettore MAT/05 - Analisi MatematicaModeling and SimulationQA1-9390101 mathematicsNonlinear maximum principleConstant (mathematics)NODALMathematicsAnalysisSign (mathematics)MathematicsNonlinear regularity
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Encapsulation of black mulberry microcuttings: studies on capsules and synthetic seeds

2017

The encapsulation technology for plant tissue culture can be an efficient tool to optimize the plant management systems and to preserve valuable plant germplasm. In this paper, two experiments were carried out to evaluate the encapsulation efficiency in mulberry (Morus nigra L.). In the first experiment, gel capsules were stored at 4°C for different times (0, 30, 90, 180 and 360 days). The highest percentage of shoot viability (82.5%) and regrowth (72.5%) was scored after 180 days of storage, with an average development of 2.5 shoots/capsule. The second experiment was aimed to point out an efficient protocol to turn the capsules of black mulberry in synthetic seeds ready to develop into who…

0106 biological sciencesMorus nigra (L.)calcium alginate matrix conversion Morus nigra (L.) nodal segments storage timesnodal segmentsNanotechnologyBiologyHorticulture01 natural sciencesEncapsulation (networking)Settore AGR/03 - Arboricoltura Generale E Coltivazioni ArboreeSettore AGR/11 - Entomologia Generale E Applicatacalcium alginate matrixstorage timesNodal segmentconversion010606 plant biology & botanyStorage time
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Anatomical Variations in the Sinoatrial Nodal Artery: A Meta-Analysis and Clinical Considerations

2016

Background and Objective The sinoatrial nodal artery (SANa) is a highly variable vessel which supplies blood to the sinoatrial node (SAN). Due to its variability and susceptibility to iatrogenic injury, our study aimed to assess the anatomy of the SANa and determine the prevalence of its anatomical variations. Study Design An extensive search of major electronic databases was performed to identify all articles reporting anatomical data on the SANa. No lower date limit or language restrictions were applied. Anatomical data regarding the artery were extracted and pooled into a meta-analysis. Results Sixty-six studies (n = 21455 hearts) were included in the meta-analysis. The SANa usually aros…

0301 basic medicinemedicine.medical_specialtyPopulation Dynamicslcsh:MedicineCoronary Artery Disease030204 cardiovascular system & hematologyResearch and Analysis MethodsVascular MedicineCoronary artery diseaseDatabase and Informatics Methods03 medical and health sciencesMathematical and Statistical Techniques0302 clinical medicinemedicine.arteryInternal medicineMedicine and Health SciencesmedicineStatistical MethodsDatabase SearchingPulmonary Arterieslcsh:ScienceSinoatrial nodal arteryCoronary ArteriesMultidisciplinaryPopulation BiologySinoatrial nodebusiness.industryIatrogenic injurylcsh:RBiology and Life SciencesArteriesmedicine.diseaseGeographic DistributionCoronary arteriesGeographic distributionmedicine.anatomical_structureMeta-analysisPhysical SciencesCardiovascular AnatomyCardiologyBlood Vesselslcsh:Q030101 anatomy & morphologyAnatomybusinessMathematicsStatistics (Mathematics)Research ArticleMeta-AnalysisPLOS ONE
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Axillary Nodal Burden in Breast Cancer Patients With Pre-operative Fine Needle Aspiration-proven Positive Lymph Nodes Compared to Those With Positive…

2019

BACKGROUND/AIM: Recent years have seen a considerable shift to a more conservative management of the axilla in patients with positive axillary sentinel lymph nodes. The aim of this study was to determine whether some breast cancer patients with a preoperative ultrasound-guided needle aspiration biopsy proven positive node could potentially be spared an axillary lymph node dissection according to the ACOSOG Z0011 trial criteria. PATIENTS AND METHODS: A retrospective review was performed involving 623 breast cancer patients who underwent axillary lymph node dissection after either ultrasound-guided needle aspiration biopsy proven positive node or sentinel lymph node biopsy. RESULTS: Patients …

AdultCancer Researchmedicine.medical_specialtyaxillary nodal burdenCytodiagnosisSentinel lymph nodeBiopsy Fine-NeedleBreast NeoplasmsSensitivity and SpecificityGeneral Biochemistry Genetics and Molecular Biology03 medical and health sciences0302 clinical medicineBreast cancerBreast cancerBiopsyPreoperative CareMedicineHumansBreastsentinel lymph node biopsyEndoscopic Ultrasound-Guided Fine Needle AspirationAgedRetrospective StudiesPharmacologyAged 80 and overmedicine.diagnostic_testbusiness.industryAxillary Lymph Node DissectionReproducibility of ResultsMiddle Agedmedicine.diseaseAxillaFine-needle aspirationmedicine.anatomical_structure030220 oncology & carcinogenesisLymphatic MetastasisAxillaFemaleRadiologyLymphLymph NodesbusinessNODALResearch Article
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Comparison of Different Nodal Staging in Patients With Locally Advanced Mid-low Rectal Cancer After Long-term Neoadjuvant Chemoradiation Therapy.

2019

Background/Aim: The aim of this study was to compare the ability of different lymph nodal staging systems to predict cancer recurrence in a multicenter European series of patients who underwent proctectomy after neoadjuvant chemoradiotherapy for locally advanced rectal cancer. Patients and Methods: Data on 170 consecutive patients undergoing proctectomy after neoadjuvant therapy for cT3-4 or cN+ rectal adenocarcinoma were retrieved from the European MRI and Rectal Cancer Surgery database. The prognostic role of the number of retrieved and examined nodes, nodal ratio, and log odds of positive lymph nodes (LODDS) was analyzed and compared by receiver operating characteristic curves, Pearson t…

AdultMaleCancer Researchmedicine.medical_specialtyMultivariate analysisColorectal cancerDisease-free survivalmedicine.medical_treatmentLODDSLocally advancedAdenocarcinomaDisease-Free SurvivalLog odds of positive lymph nodeRectal AdenocarcinomaMedicineHumansRectal cancerLog odds of positive lymph nodesNeoadjuvant therapyAgedNeoplasm StagingAged 80 and overReceiver operating characteristicddc:617business.industryRectal NeoplasmsHazard ratioGeneral MedicineNodal ratioChemoradiotherapyMiddle Agedmedicine.diseasePrognosisConfidence intervalNeoadjuvant TherapyOncologydisease-free survival; lodds; log odds of positive lymph nodes; neoadjuvant therapy; nodal ratio; rectal cancer; adenocarcinoma; adult; aged; aged 80 and over; disease-free survival; female; humans; lymph nodes; male; middle aged; neoplasm recurrence Local; Neoplasm Staging; Prognosis; Rectal Neoplasms; Chemoradiotherapy; Neoadjuvant TherapyNeoadjuvant therapyFemaleRadiologyLymph NodesNeoplasm Recurrence LocalbusinessAnticancer research
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Multiplicity results for a class of asymmetric weakly coupled systems of second order ordinary differential equations

2005

We prove the existence and multiplicity of solutions to a two-point boundary value problem associated to a weakly coupled system of asymmetric second-order equations. Applying a classical change of variables, we transform the initial problem into an equivalent problem whose solutions can be characterized by their nodal properties. The proof is developed in the framework of the shooting methods and it is based on some estimates on the rotation numbers associated to each component of the solutions to the equivalent system.

Algebra and Number TheoryMathematical analysislcsh:QA299.6-433lcsh:AnalysisExponential integratorStochastic partial differential equationLinear differential equationCollocation methodOrdinary differential equationmultiplicity result asymmetric weakly coupled system nodal solutions rotation numberBoundary value problemAnalysisMathematicsSeparable partial differential equationNumerical partial differential equations
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Nonlinear nonhomogeneous Neumann eigenvalue problems

2015

We consider a nonlinear parametric Neumann problem driven by a nonhomogeneous differential operator with a reaction which is $(p-1)$-superlinear near $\pm\infty$ and exhibits concave terms near zero. We show that for all small values of the parameter, the problem has at least five solutions, four of constant sign and the fifth nodal. We also show the existence of extremal constant sign solutions.

Applied MathematicsConcave termnodal solutionMathematical analysisZero (complex analysis)superlinear reactionDifferential operatorExtremal constant sign solutionNonlinear systemMaximum principlemaximum principleNeumann boundary conditionextremal constant sign solutionsQA1-939superlinear reaction concave terms maximum principle extremal constant sign solutions nodal solution critical groupsconcave termsConstant (mathematics)critical groupsEigenvalues and eigenvectorsCritical groupMathematicsMathematicsSign (mathematics)Electronic Journal of Qualitative Theory of Differential Equations
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Multiple solutions with sign information for semilinear Neumann problems with convection

2019

We consider a semilinear Neumann problem with convection. We assume that the drift coefficient is indefinite. Using the theory of nonlinear operators of monotone type, together with truncation and comparison techniques and flow invariance arguments, we prove a multiplicity theorem producing three nontrivial smooth solutions (positive, negative and nodal).

ConvectionTruncationGeneral Mathematics010102 general mathematicsMathematical analysisMultiplicity (mathematics)Type (model theory)Convection01 natural sciencesIndefinite drift coefficientExtremal constant sign solution010101 applied mathematicsMonotone polygonFlow (mathematics)Settore MAT/05 - Analisi MatematicaConstant sign and nodal solutionNeumann boundary conditionFlow invariance0101 mathematicsSign (mathematics)MathematicsRevista Matemática Complutense
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Numerical Simulation of Thermal Effects in Electric Circuits via Energy Transport equations

2006

In this work we present the coupling of stationary energy-transport (ET) equations with Modified Nodal Analysis (MNA)-equations to model electric circuits containing semiconductor devices. The one-dimensional ET-equations are discretised in space by an exponential fitting mixed hybrid finite element approach to ensure current continuity and positivity of charge carriers. The discretised ET-equations are coupled to MNA-equations and the resulting system is solved with backwarddifference formulas. Numerical examples are shown for a test circuit containing a pn-diode, and the results are compared to those achieved using the drift-diffusion model to describe the semiconductor devices in the cir…

CouplingEngineeringWork (thermodynamics)Computer simulationbusiness.industryMathematical analysisMechanical engineeringCharge carrierSemiconductor devicebusinessModified nodal analysisExponential functionElectronic circuitPAMM
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Interpretation of epicardial mapping by means of computer simulations: Applications to calcium, lidocaine and to BRL 34915

1992

The aim of this work was to compare experimental investigations on effects of lidocaine, calcium and, BRL 34915 on reentries to simulated data obtained by use of a model of propagation based on the Huygens' construction method already described in previous works. Calcium and lidocaine effects are investigated on anisotropic conduction conditions. In both cases, reduction in conduction velocities are observed. In lidocaine case, a refractory area is located along the longitudinal axis. In agreement with experimental electrical mapping, the simulations show that the stabilization of reentrant excitation is mainly due to the existence of this refractory area around which the reentrant circuit …

CromakalimMaterials scienceLidocaineRefractory periodchemistry.chemical_elementCalciumGeneral Biochemistry Genetics and Molecular BiologyConstrictionDogsHeart Conduction SystemmedicineAnimalsTachycardia Atrioventricular Nodal ReentryBenzopyransComputer SimulationPyrrolesAntihypertensive AgentsGeneral Environmental ScienceApplied MathematicsModels CardiovascularLidocaineGeneral MedicineReentryMechanicsThermal conductionElectrophysiologyPhilosophyElectrophysiologyReentrancychemistryAnisotropyCalciumGeneral Agricultural and Biological Sciencesmedicine.drugActa Biotheoretica
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