Search results for "Different"

showing 10 items of 8549 documents

Transfection of lipoma cells with papilloma bovine virus subgenomic fragment.

1991

Abstract Lipoma cells with consistent chromosomal aberration have been transfected with plasmids carrying papilloma bovine virus subgenomic fragment (PBV 69). The succesful transformation of the cells was ascerted on the changed growth pattern of the cells in liquid medium, colony formation in soft agar and modified cell appearrance in electron microscopy; transfection with PBV 69 has not been, however, sufficient to immortalize lipoma cells.

virusesCellEndoplasmic ReticulumTransfectionVirusPlasmidotorhinolaryngologic diseasesmedicineTumor Cells CulturedHumansBovine papillomavirusSubgenomic mRNABovine papillomavirus 1Cell Line TransformedChromosome AberrationsbiologyMusclesCell DifferentiationCell BiologyTransfectionFibroblastsbiology.organism_classificationmedicine.diseaseCell Transformation ViralVirologyClone CellsMicroscopy Electronmedicine.anatomical_structureAdipose TissueCell culturePapillomaLipomaCell DivisionCell biology international reports
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CVB3 VP1 interacts with MAT1 to inhibit cell proliferation by interfering with Cdk-activating kinase complex activity in CVB3-induced acute pancreati…

2021

Coxsackievirus B3 (CVB3) belongs to the genus Enterovirus of the family Picornaviridae and can cause acute acinar pancreatitis in adults. However, the molecular mechanisms of pathogenesis underlying CVB3-induced acute pancreatitis have remained unclear. In this study, we discovered that CVB3 capsid protein VP1 inhibited pancreatic cell proliferation and exerted strong cytopathic effects on HPAC cells. Through yeast two-hybrid, co-immunoprecipitation, and confocal microscopy, we show that Menage a trois 1 (MAT1), a subunit of the Cdk-Activating Kinase (CAK) complex involved in cell proliferation and transcription, is a novel interaction protein with CVB3 VP1. Moreover, CVB3 VP1 inhibited MAT…

virusesCultured tumor cellsSynthesis PhaseCell Cycle ProteinsBiochemistryCell Cycle and Cell DivisionBiology (General)PhosphorylationPost-Translational ModificationCyclin0303 health sciencesbiologyKinaseChemistry030302 biochemistry & molecular biologyRetinoblastoma proteinvirus diseasesCell DifferentiationTransfectionCyclin-Dependent KinasesCell biologyEnterovirus B HumanCell ProcessesPhosphorylationCell linesBiological culturesResearch ArticleQH301-705.5Protein subunitImmunologyCoxsackievirus InfectionsTransfectionResearch and Analysis MethodsMicrobiology03 medical and health sciencesVirologyCyclinsGeneticsHumansHeLa cellsMolecular Biology TechniquesMolecular Biology030304 developmental biologyCell ProliferationCell growthG1 PhaseBiology and Life SciencesProteinsCell Cycle CheckpointsCell BiologyRC581-607Cell culturesPancreatitisbiology.proteinParasitologyCapsid ProteinsImmunologic diseases. AllergyCyclin-dependent kinase 7Cyclin-Dependent Kinase-Activating KinaseTranscription FactorsPLoS pathogens
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Game-Theoretic Approach to Hölder Regularity for PDEs Involving Eigenvalues of the Hessian

2021

AbstractWe prove a local Hölder estimate for any exponent $0<\delta <\frac {1}{2}$ 0 < δ < 1 2 for solutions of the dynamic programming principle $$ \begin{array}{@{}rcl@{}} u^{\varepsilon} (x) = \sum\limits_{j=1}^{n} \alpha_{j} \underset{\dim(S)=j}{\inf} \underset{|v|=1}{\underset{v\in S}{\sup}} \frac{u^{\varepsilon} (x + \varepsilon v) + u^{\varepsilon} (x - \varepsilon v)}{2} \end{array} $$ u ε ( x ) = ∑ j = 1 n α j inf dim ( S ) = j sup v ∈ S | v | = 1 u ε ( x + ε v ) + u ε ( x − ε v ) 2 with α1,αn > 0 and α2,⋯ ,αn− 1 ≥ 0. The proof is based on a new coupling idea from game theory. As an application, we get the same regularity estimate for viscosity solutions of the PDE $…

viscosity solutionosittaisdifferentiaaliyhtälötMathematics::Functional AnalysisStatistics::Theory91A05 91A15 35D40 35B65Mathematics::Dynamical Systemsholder estimateMathematics::Analysis of PDEsmatemaattinen optimointifully nonlinear PDEsdynamic programming principleMathematics - Analysis of PDEsMathematics::ProbabilityFOS: Mathematicspeliteoriaeigenvalue of the HessianAnalysisAnalysis of PDEs (math.AP)estimointi
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Equivalence of viscosity and weak solutions for a $p$-parabolic equation

2019

AbstractWe study the relationship of viscosity and weak solutions to the equation $$\begin{aligned} \smash {\partial _{t}u-\varDelta _{p}u=f(Du)}, \end{aligned}$$ ∂ t u - Δ p u = f ( D u ) , where $$p>1$$ p > 1 and $$f\in C({\mathbb {R}}^{N})$$ f ∈ C ( R N ) satisfies suitable assumptions. Our main result is that bounded viscosity supersolutions coincide with bounded lower semicontinuous weak supersolutions. Moreover, we prove the lower semicontinuity of weak supersolutions when $$p\ge 2$$ p ≥ 2 .

viscosity solutionosittaisdifferentiaaliyhtälötPure mathematics35K92 35J60 35D40 35D30 35B51Mathematics::Analysis of PDEscomparison principleweak solutionparabolic p-LaplacianViscosityMathematics (miscellaneous)Mathematics - Analysis of PDEsBounded functionFOS: Mathematicsgradient termEquivalence (measure theory)MathematicsAnalysis of PDEs (math.AP)
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Hölder gradient regularity for the inhomogeneous normalized p(x)-Laplace equation

2022

We prove the local gradient Hölder regularity of viscosity solutions to the inhomogeneous normalized p(x)-Laplace equation −Δp(x)Nu=f(x), where p is Lipschitz continuous, inf⁡p>1, and f is continuous and bounded. peerReviewed

viscosity solutionosittaisdifferentiaaliyhtälötnon-divergence form equationHölder gradient regularityinhomogeneous equationApplied Mathematicsnormalized equationp-LaplaceAnalysisJournal of Mathematical Analysis and Applications
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Regularity for nonlinear stochastic games

2015

We establish regularity for functions satisfying a dynamic programming equation, which may arise for example from stochastic games or discretization schemes. Our results can also be utilized in obtaining regularity and existence results for the corresponding partial differential equations. peerReviewed

viscosity solutionsDiscretization01 natural sciencesMathematics - Analysis of PDEsBellman equationComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONFOS: MathematicsApplied mathematicstug-of-war0101 mathematicsMathematics - Optimization and ControlMathematical PhysicsMathematicsstokastiset prosessitPartial differential equationApplied Mathematics91A15 35J92 35B65 35J60 49N60010102 general mathematicsta111dynamic programming principletug-of-war with noise with space dependent probabilities010101 applied mathematicsNonlinear systemOptimization and Control (math.OC)p-LaplaceAnalysisAnalysis of PDEs (math.AP)
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Remarks on regularity for p-Laplacian type equations in non-divergence form

2018

We study a singular or degenerate equation in non-divergence form modeled by the $p$-Laplacian, $$-|Du|^\gamma\left(\Delta u+(p-2)\Delta_\infty^N u\right)=f\ \ \ \ \text{in}\ \ \ \Omega.$$ We investigate local $C^{1,\alpha}$ regularity of viscosity solutions in the full range $\gamma>-1$ and $p>1$, and provide local $W^{2,2}$ estimates in the restricted cases where $p$ is close to 2 and $\gamma$ is close to 0.

viscosity solutionsintegrability of second derivativesType (model theory)01 natural sciencesDivergencelocal C1ViscosityMathematics - Analysis of PDEsFOS: Mathematicspartial differential equations0101 mathematicsMathematicsMathematical physicsosittaisdifferentiaaliyhtälötα regularityApplied Mathematics010102 general mathematicsta111p-Laplacianlocal C1α regularityviskositeettiDegenerate equation35J60 35B65 35J92010101 applied mathematicsviscosityp-LaplacianAnalysisAnalysis of PDEs (math.AP)Journal of Differential Equations
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Lidar detection of carbon dioxide in volcanic plumes

2015

Volcanic gases give information on magmatic processes. In particular, anomalous releases of carbon dioxide precede volcanic eruptions. Up to now, this gas has been measured in volcanic plumes with conventional measurements that imply the severe risks of local sampling and can last many hours. For these reasons and for the great advantages of laser sensing, the thorough development of volcanic lidar has been undertaken at the Diagnostics and Metrology Laboratory (UTAPRAD-DIM) of the Italian National Agency for New Technologies, Energy and Sustainable Economic Development (ENEA). In fact, lidar profiling allows one to scan remotely volcanic plumes in a fast and continuous way, and with high s…

volcanic phenomenaMeteorologygas detection;volcanic phenomena;laser remote sensing;differential absorption lidardifferential absorption lidar; gas detection; laser remote sensing; volcanic phenomena; Applied Mathematics; Computer Science Applications1707 Computer Vision and Pattern Recognition; Electrical and Electronic Engineering; Electronic Optical and Magnetic Materials; Condensed Matter Physicsgas detectiondifferential absorption lidarlaw.inventionVolcanic GasesImpact craterlawlaser remote sensingeventElectrical and Electronic EngineeringRemote sensingevent.disaster_typeDye lasergeography.geographical_feature_categoryElectronic Optical and Magnetic MaterialComputer Science Applications1707 Computer Vision and Pattern RecognitionCondensed Matter PhysicsLaserOptical parametric amplifierApplied MathematicGeographyLidarVolcanoTemporal resolutionSPIE Proceedings
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Volcanic Plume CO2 Flux Measurements at Mount Etna by Mobile Differential Absorption Lidar

2017

Volcanic eruptions are often preceded by precursory increases in the volcanic carbon dioxide (CO2) flux. Unfortunately, the traditional techniques used to measure volcanic CO2 require near-vent, in situ plume measurements that are potentially hazardous for operators and expose instruments to extreme conditions. To overcome these limitations, the project BRIDGE (BRIDging the gap between Gas Emissions and geophysical observations at active volcanoes) received funding from the European Research Council, with the objective to develop a new generation of volcanic gas sensing instruments, including a novel DIAL-Lidar (Differential Absorption Light Detection and Ranging) for remote (e.g., distal) …

volcanic plumes010504 meteorology & atmospheric sciencesFlux010502 geochemistry & geophysicsAtmospheric sciences01 natural sciencesVolcanic plumeVolcanic CO2 fluxImpact craterDifferential Absorption Lidar (DIAL);Remote sensing;Volcanic CO2 flux;Volcanic plumesGas compositionDifferential Absorption Lidar (DIAL)0105 earth and related environmental sciencesRemote sensinggeographygeography.geographical_feature_categoryvolcanic plumes; volcanic CO<sub>2</sub> flux; remote sensing; Differential Absorption Lidar (DIAL)lcsh:QE1-996.5ElevationRemote sensingPlumelcsh:GeologyLidarVolcanoVolcanic plume13. Climate actionGeneral Earth and Planetary SciencesEarth and Planetary Sciences (all)GeologyGeosciences; Volume 7; Issue 1; Pages: 9
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Relationship between volume and energy of vector fields

2001

Abstract A unified study of energy and volume functionals is presented here by determining the critical points of a functional that extends simultaneously energy and volume and that is defined on the product of the manifold of smooth maps C∞(M,N) times the manifold M of riemannian metrics on M. The restriction of this functional to different submanifolds of the space of vector fields X (M)× M is also considered, and used to study several functionals generalizing volume and energy or total bending of vector fields

volumeenergy and total bending of vector fieldscritical pointsMathematical analysisBendingVolume and energy functionalsSpace (mathematics)Manifoldvariational problemsComputational Theory and MathematicsVolume (thermodynamics)Product (mathematics)Fundamental vector fieldVector fieldGeometry and TopologyMathematics::Differential GeometryAnalysisEnergy (signal processing)MathematicsDifferential Geometry and its Applications
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