Search results for " solution"

showing 10 items of 3084 documents

The MAST-edge centred lumped scheme for the flow simulation in variably saturated heterogeneous porous media

2012

A novel methodology is proposed for the solution of the flow equation in a variably saturated heterogeneous porous medium. The computational domain is descretized using triangular meshes and the governing PDEs are discretized using a lumped in the edge centres numerical technique. The dependent unknown variable of the problem is the piezometric head. A fractional time step methodology is applied for the solution of the original system, solving consecutively a prediction and a correction problem. A scalar potential of the flow field exists and in the prediction step a MArching in Space and Time (MAST) formulation is applied for the sequential solution of the Ordinary Differential Equation of…

Numerical AnalysisPhysics and Astronomy (miscellaneous)DiscretizationApplied MathematicsLinear systemScalar potentialGeometryFinite element methodSettore ICAR/01 - IdraulicaComputer Science ApplicationsComputational MathematicsHydraulic headRate of convergenceVariably saturated porous medium Numerical model Finite element Lumped scheme Mass conservation Unstructured mesh Analytical solutionModeling and SimulationOrdinary differential equationApplied mathematicsVariably saturated porous medium Numerical model Finite element Lumped scheme Mass conservation Unstructured mesh Analytical solutionConservation of massMathematicsJournal of Computational Physics
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Nonlinear concave-convex problems with indefinite weight

2021

We consider a parametric nonlinear Robin problem driven by the p-Laplacian and with a reaction having the competing effects of two terms. One is a parametric (Formula presented.) -sublinear term (concave nonlinearity) and the other is a (Formula presented.) -superlinear term (convex nonlinearity). We assume that the weight of the concave term is indefinite (that is, sign-changing). Using the Nehari method, we show that for all small values of the parameter (Formula presented.), the problem has at least two positive solutions and also we provide information about their regularity.

Numerical AnalysisPure mathematicslocal minimizerspositive solutionsNehari manifoldApplied MathematicsRegular polygonLagrange multiplierComputational MathematicsNonlinear systemSettore MAT/05 - Analisi Matematicanonlinear regularityAnalysisMathematics
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Stability of parenteral nutrition admixtures containing organic phosphates

1995

The use of organic phosphates to avoid calcium phosphate precipitation in parenteral nutrition mixtures has been proposed. The purpose of this study was to evaluate the stability of total parenteral nutrition admixtures containing glucose-1-phosphate or glycerol phosphate as the phosphate source over 3 days. Three parenteral nutrition admixtures, each containing glucose-1-phosphate (30.0 mmol), glycerol phosphate (31.4 mmol) or inorganic phosphate (30.0 mmol), and their corresponding aqueous phases were prepared in 3-L ethylene vinyl acetate plastic bags and infusion bottles, and stored at 5 +/- 1 degrees C or 22 +/- 3 degrees C without light protection. Physical stability analysis and samp…

Nutrition and DieteticsAqueous solutionChromatographybusiness.industryPrecipitation (chemistry)Ethylene-vinyl acetateCritical Care and Intensive Care MedicinePhosphatechemistry.chemical_compoundCreamingParenteral nutritionBiochemistrychemistryDynamic light scatteringEmulsionMedicinebusinessClinical Nutrition
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About entangled networks of worm-like micelles: a rejected hypothesis

1996

We report new results from small-angle neutron scattering on d(1 2)-cyclohexane/lecithin/water micellar solutions performed as a function of the water content (w(o)), temperature (T) and dispersed phase volume fraction (phi). The data from dilute samples are interpretable in terms of the existence of giant cylindrical reverse micelles and are well fit with a core-shell model (that provides the micelle structure and dimensions) with values of 28 and 45 Angstrom for the inner core and the outer shell radii, almost independent on temperature and concentration. Such a result could appear consistent with the current idea that worm-like micelles are living polymers. On the contrary, the appearanc…

ORGANOGELSPolymers and PlasticsSANSChemistryInner coreForm factor (quantum field theory)Concentration effectThermodynamicsMineralogyliving polymersNeutron scatteringgelsSmall-angle neutron scatteringMicelleLIGHT-SCATTERINGCondensed Matter::Soft Condensed MatterColloid and Surface ChemistryMICROEMULSIONSMicellar solutionsMaterials Chemistryreverse micellesPhysical and Theoretical ChemistryStructure factorLECITHIN REVERSE MICELLESColloid and Polymer Science
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Hydrophobicity of ionisable compounds studied by countercurrent chromatography

2011

Countercurrent chromatography (CCC) is a liquid chromatography technique in which the stationary phase is also a liquid. The main chemical process involved in solute separation is partitioning between the two immiscible liquid phases: the mobile phase and the support-free liquid stationary phase. The octanol-water partition coefficients (P(o/w)) is the accepted parameter measuring the hydrophobicity of molecules. It is considered to estimate active principle partitioning over a biomembrane. It was related to the substance biological activity. CCC is able to work with an octanol stationary phase and an aqueous mobile phase. In this configuration, CCC is a useful and easy alternative to measu…

OctanolAdrenergic beta-AntagonistsHydrophobicityAnalytical chemistryIonic bonding01 natural sciencesBiochemistryAnalytical Chemistrychemistry.chemical_compoundCountercurrent chromatographyPhase (matter)MoleculeDiureticsCountercurrent DistributionAqueous solutionChromatography010405 organic chemistryHydrophilic interaction chromatography010401 analytical chemistryOrganic ChemistryOctanol–water partition coefficientsGeneral Medicine0104 chemical sciencesPartition coefficientPharmaceutical PreparationschemistryCountercurrent chromatographyIonisable compoundsHydrophobic and Hydrophilic InteractionsJournal of Chromatography A
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Localization of n-alcohols and structural effects in aqueous solutions of sodium dodecyl sulfate

1997

Small-angle neutron Mattering measurements OD sodium dodecyl sulfate aqueous solutions have been performed in the presence of n-alcohols, from methanol to octanol, at different alcohol concentrations. By modeling the experimental intensities, it was possible to obtain structural information and to derive simultaneously the distribution of the alcohols between the aqueous and the micellar phases. It was found that short chain alcohols tend to remain in the aqueous phase and, by altering the solvent properties, induce a decrease in the aggregation number of sodium dodecyl sulfate micelles. On the other hand, alcohols with longer hydrocarbon chains were found to be present in both phases thoug…

OctanolAggregation numberAqueous solutionSurfactantsInorganic chemistryAqueous two-phase systemAlcoholSurfaces and InterfacesCondensed Matter PhysicsMicelleSolventScatteringchemistry.chemical_compoundchemistryElectrochemistryGeneral Materials ScienceSodium dodecyl sulfateAlcoholSodium dodecyl sulfateSpectroscopyMicelleSettore CHIM/02 - Chimica Fisica
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Topical glaucoma medications – Clinical implications for the ocular surface

2022

Glaucoma is a leading cause of irreversible blindness. The use of topical eye drops to reduce intraocular pressure remains the mainstay treatment. These eye drops frequently contain preservatives designed to ensure sterility of the compound. A growing number of clinical and experimental studies report the detrimental effects of not only these preservatives but also the active pharmaceutical compounds on the ocular surface, with resultant tear film instability and dry eye disease. Herein, we critically appraise the published literature exploring the effects of preservatives and pharmaceutical compounds on the ocular surface. publishedVersion

Oorganisk kemiPreservatives PharmaceuticalGlaucomaMeibomian gland dysfunctionInorganic ChemistryOphthalmologyVDP::Medisinske Fag: 700::Klinisk medisinske fag: 750::Oftalmologi: 754:Medisinske Fag: 700 [VDP]TearsTopical medicationsHumansEyedropsDry Eye SyndromesDry eye diseaseOphthalmic SolutionsDry eye disease; Eyedrops; Glaucoma; Meibomian gland dysfunction; Topical medicationsAntihypertensive AgentsIntraocular Pressure
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Conservation of optical purity of amino acids: a principal problem in biochemical and proto-biochemical systems.

1981

Dor L-amino acids, regardless of their state (peptide-bound or free, in the solid state or in aqueous solution), tend to racemize. In a living cell this racemization is usually compensated by specific degradation and replacement of the unwanted polypeptides that contain the wrong enantiomers. But a few long-lived proteins that are synthesized at or near birth are never replaced. Well investigated is the racemization of L-aspartic acid at a rate of 0.1 to 1.14 per cent per year in proteins from lenses and dentine. Increased racemization of eye lens proteins has been related to a form of human eye disease known as brunescent cataracts. Also quite well investigated is the racemization of amino…

Optical RotationStereochemistryBiologychemistry.chemical_compoundIsomerismPeptide synthesisOrganic chemistryHumansAmino AcidsEye lensEnantiomeric excessRacemizationEcology Evolution Behavior and SystematicsGeneral Environmental Sciencechemistry.chemical_classificationAspartic AcidAqueous solutionFossilsGeneral MedicineAgricultural and Biological Sciences (miscellaneous)Biological EvolutionAmino acidchemistryPolymerizationSpace and Planetary ScienceDentinGeneral Earth and Planetary SciencesEnantiomerMathematicsOrigins of life
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Helmholtz equation in unbounded domains: some convergence results for a constrained optimization problem

2016

We consider a constrained optimization problem arising from the study of the Helmholtz equation in unbounded domains. The optimization problem provides an approximation of the solution in a bounded computational domain. In this paper we prove some estimates on the rate of convergence to the exact solution.

Optimization problemHelmholtz equationDomain (software engineering)Constrained optimization problemExact solutions in general relativityMathematics - Analysis of PDEsRate of convergenceBounded functionConvergence (routing)FOS: MathematicsHelmholtz equation Transparent boundary conditions Minimization of integral functionals.Applied mathematicsMathematicsAnalysis of PDEs (math.AP)
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Carbonic anhydrase inhibitor with topical NSAID therapy to manage cystoid macular edema in a case of gyrate atrophy

2017

Purpose Gyrate atrophy of the choroid and retina (GACR) is a rare chorioretinal dystrophy characterized by a deficiency of the enzyme ornithine aminotransferase, inherited in an autosomal recessive pattern. Case Report We report a case of a 17-year-old girl with GACR, for whom the level of serum ornithine had been reduced by an arginine-restricted diet. The patient was responsive to an association of topical nonsteroidal anti-inflammatory drugs (NSAIDs) and a carbonic anhydrase inhibitor (CAI) to reduce cystoid macular edema (CME). Conclusions The efficacy of topical NSAIDs and systemic CAI association indicates that the imbalance in the distribution of retinal pigment epithelium membrane-b…

OrnithinePathologygenetic structuresIndomethacinVisual AcuityAdministration OralAdministration Ophthalmic0302 clinical medicineNonsteroidal anti-inflammatory drugCarbonic anhydrase inhibitorCarbonic Anhydrase Inhibitorschemistry.chemical_classificationOrnithine-Oxo-Acid TransaminaseAnti-Inflammatory Agents Non-SteroidalGeneral Medicinemedicine.anatomical_structureDrug Therapy CombinationFemaleTomography Optical CoherenceHumanmedicine.medical_specialtyAdolescentCarbonic Anhydrase Inhibitormedicine.drug_classOrnithine aminotransferaseeducationGyrate atrophy of the choroid and retinaOphthalmic Solution03 medical and health sciencesAtrophyGyrate atrophyInternal medicinemedicineHumansGyrate AtrophyMacular edemaRetinaMacular edemabusiness.industrymedicine.diseaseAcetazolamideOphthalmologyEnzymeEndocrinologychemistry030221 ophthalmology & optometrysense organsChoroidOphthalmic Solutionsbusiness030217 neurology & neurosurgery
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