Search results for "Condition"

showing 10 items of 2530 documents

Solution of a cauchy problem for an infinite chain of linear differential equations

2005

Defining the recurrence relations for orthogonal polynomials we have found an exact solution of a Cauchy problem for an infinite chain of linear differential equations with constant coefficients. These solutions have been found both for homogeneous and an inhomogeneous systems.

Cauchy problemMethod of undetermined coefficientsLinear differential equationElliptic partial differential equationHomogeneous differential equationMathematical analysisStatistical and Nonlinear PhysicsCauchy boundary conditiond'Alembert's formulaHyperbolic partial differential equationMathematical PhysicsMathematicsReports on Mathematical Physics
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Regularity of solutions of cauchy problems with smooth cauchy data

1988

Cauchy problemPure mathematicsCauchy's convergence testResidue theoremCauchy principal valueCauchy boundary conditionCauchy's integral theoremCauchy's integral formulaCauchy productMathematics
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Existence and Regularity for a Class of Nonlinear Hyperbolic Boundary Value Problems

2002

AbstractThe regularity of the solution of the telegraph system with nonlinear monotone boundary conditions is investigated by two methods. The first one is based on D'Alembert-type representation formulae for the solution. In the second method the telegraph system is reduced to a linear Cauchy problem with a locally Lipschitzian functional perturbation; then regularity results are established by appealing to the theory of linear semigroups.

Cauchy problemtelegraph systemApplied MathematicsMathematical analysisD'Alembert formulaeMixed boundary conditionRobin boundary conditionNonlinear systemhigher regularitynonlinear boundary conditionsFree boundary problemNeumann boundary conditionsemigroup approachApplied mathematicsCauchy boundary conditionBoundary value problemAnalysisMathematicsJournal of Mathematical Analysis and Applications
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Toll-like receptor 3 mediates expression of clusterin/apolipoprotein J in vascular smooth muscle cells stimulated with RNA released from necrotic cel…

2010

Clusterin/Apolipoprotein J is a protein that is upregulated in a broad spectrum of diverse pathological processes. The predominant form is a secreted glycoprotein (sCLU) with cytoprotective and anti-inflammatory properties which shows enhanced expression in vascular smooth muscle cells (VSMC) following aortic injury and in atherosclerotic disease. Recent evidence indicates that during atherosclerosis, Toll-like receptors (TLRs) are activated in vascular cells by endogenous ligands. Here, we analyzed whether CLU expression in VSMC is controlled by TLRs, and stimulated by factors associated with or released by necrotic cells. Activation of TLR3 by the synthetic RNA analogue polyinosinic-polyc…

Cell ExtractsProtein DenaturationHot TemperatureMyocytes Smooth MuscleMedizinGene ExpressionBiologyTransfectionMuscle Smooth VascularCell LineMiceNecrosisDogsDownregulation and upregulationGene expressionAnimalsHumansChemokine CCL2Mice KnockoutMessenger RNAToll-like receptorClusterinToll-Like ReceptorsProteinsChloroquineCell BiologyMolecular biologyEndocytosisRatsToll-Like Receptor 3Mice Inbred C57BLTLR2Adaptor Proteins Vesicular TransportClusterinPoly I-CCulture Media ConditionedTLR3biology.proteinRNAEctopic expressionExperimental cell research
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Hsp60 is actively secreted by human tumor cells

2010

Background Hsp60, a Group I mitochondrial chaperonin, is classically considered an intracellular chaperone with residence in the mitochondria; nonetheless, in the last few years it has been found extracellularly as well as in the cell membrane. Important questions remain pertaining to extracellular Hsp60 such as how generalized is its occurrence outside cells, what are its extracellular functions and the translocation mechanisms that transport the chaperone outside of the cell. These questions are particularly relevant for cancer biology since it is believed that extracellular chaperones, like Hsp70, may play an active role in tumor growth and dissemination. Methodology/Principal Findings S…

Cell SurvivalBlotting WesternCellImmunology/Immunomodulationlcsh:MedicineApoptosisBiologyExosomesCell LineAmilorideCell membraneMicroscopy Electron TransmissionCell Line TumorNeoplasmsBiochemistry/Cell Signaling and Trafficking StructuresExtracellularmedicineHumansSecretionlcsh:ScienceMultidisciplinarySettore BIO/16 - Anatomia Umanabeta-Cyclodextrinslcsh:RChaperonin 60MicrovesiclesCell biologyPathology/PathophysiologyHSP60 Mitochondria Chaperonopatiesmedicine.anatomical_structureCell cultureCulture Media ConditionedCancer cellAcetylcholinesteraselcsh:QExtracellular SpaceK562 CellsIntracellularResearch Article
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The effects of shock wave stimulation of mesenchymal stem cells on proliferation, migration, and differentiation in an injectable gelatin matrix for …

2020

The treatment of a variety of defects in bony sites could benefit from mitogenic stimulation of osteoprogenitor cells, including endogenous bone marrow-derived mesenchymal stem cells (bMSCs), and from provision of such cells with a matrix permissive of their migration, proliferation, and osteogenic differentiation. That such MSC stimulation could result from treatment with noninvasive (extracorporeal) shock waves (ESWs), and the matrix delivered by injection could enable this therapeutic approach to be employed for applications in which preformed scaffolds and growth factor therapy are difficult to deploy. The objectives of the present study were to investigate focused ESWs for their effect…

Cell Survivalmedicine.medical_treatment0206 medical engineeringBiomedical EngineeringMedicine (miscellaneous)Motility02 engineering and technologyMatrix (biology)InjectionsBiomaterials03 medical and health sciencesCell MovementOsteogenesisIn vivomedicineAnimalsRegenerationCell Proliferation030304 developmental biologyElectroshock0303 health sciencesbiologyChemistryGoatsGrowth factorRegeneration (biology)Mesenchymal stem cellEndoglinCell DifferentiationMesenchymal Stem Cells020601 biomedical engineeringCell biologyCulture Media Conditionedbiology.proteinGelatinPropionatesStem cellBiomarkersPlatelet-derived growth factor receptorJournal of Tissue Engineering and Regenerative Medicine
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The MDM2-p53 pathway is involved in preconditioning-induced neuronal tolerance to ischemia

2018

Brain preconditioning (PC) refers to a state of transient tolerance against a lethal insult that can be evoked by a prior mild event. It is thought that PC may induce different pathways responsible for neuroprotection, which may involve the attenuation of cell damage pathways, including the apoptotic cell death. In this context, p53 is a stress sensor that accumulates during brain ischemia leading to neuronal death. The murine double minute 2 gene (MDM2), a p53-specific E3 ubiquitin ligase, is the main cellular antagonist of p53, mediating its degradation by the proteasome. Here, we study the role of MDM2-p53 pathway on PC-induced neuroprotection both in cultured neurons (in vitro) and rat …

Cell death0301 basic medicineProgrammed cell deathCell SurvivalNeuronalScience2415 Biología MolecularIschemiaNeuroprotectionArticleBrain ischemiaMiceBrain ischemia03 medical and health sciences0302 clinical medicineIschemiaXarxes neuronals (Neurobiologia)medicineAnimalsIschemic PreconditioningCell damageCells CulturedBrain preconditioningNeuronsMultidisciplinarybiologyChemistryQRBrainProto-Oncogene Proteins c-mdm2MDM2-p53medicine.diseaseNeuroprotectionRatsCell biologyUbiquitin ligaseDisease Models Animal030104 developmental biology2490 Neurocienciasbiology.proteinMedicineIschemic preconditioningMdm2Tumor Suppressor Protein p53030217 neurology & neurosurgerySignal Transduction
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Double Face of eHsp70 in Front of Different Situations

2018

The Hsp70 family is one of the best conserved and abundant member of the heat shock proteins (HSP). This family includes several members and in particular one constitutively expressed member (Hsc70) and another one inducibly expressed under several stress conditions (Hsp70). To date, the intracellular functions of Hsp70 are well defined, and increasing evidences establish its roles in the extracellular environment, such as cytoprotection and immunomodulation. Increasing evidences suggest that several cell types are able to release Hsp70 in the extracellular environment, both under physiological and stress conditions. At the same time many release mechanisms have been identified. This chapte…

Cell typeHeat shock proteinExtracellularCell migrationStress conditionsBiologyNeuroscienceCytoprotectionIntracellularHsp70
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Cercospora leaf spot of sugar beet (Cercospora beticola Sacc.) Part I. Biology and occurrence

2019

Cercospora beticola Sacc. jest najgroźniejszym patogenem liści buraka cukrowego we wszystkich rejonach uprawy tej rośliny. W niniejszym opracowaniu zebrano najważniejszą wiedzę dotyczącą pozycji systematycznej, biologii, morfologii grzyba oraz jego żywicieli. Opisano warunki, w których dochodzi do infekcji roślin gospodarza oraz wpływ warunków atmosferycznych na rozwój choroby na roślinach. Podano podstawowe informacje na temat rozprzestrzeniania się oraz zimowania C. beticola w warunkach naturalnych. Opisano wpływ na rośliny gospodarza oraz powodowane straty w plonie korzeni i cukru. Całość zagadnienia omówiono w oparciu o polską i światową szeroką bazę literaturową.

Cercospora beticolawarunki pogodowe infekcjiCercospora beticola; biology; morphology and taxonomy of fungus; infection weather condition; disease harmfulness;morfologia i taksonomia grzybaszkodliwość chorobybiologiaProgress in Plant Protection/Postępy w Ochronie Roślin
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Interpositus nucleus inactivation reduces unconditioned response amplitude after paired but not explicitly unpaired treatment in rabbit eyeblink cond…

2001

The amplitude of unconditioned responses (URs) in unconditioned stimulus (US) alone presentations were measured in six rabbits during explicitly unpaired and classical conditioning treatments. After both phases of the experiment, the interpositus nucleus (IPN) was reversibly inactivated by a cold probe. URs after unpaired treatment were unaffected by inactivation but after acquisition of a robust level of conditioned responses (CRs), URs in US-alone test trials were reduced in amplitude compared with URs immediately before and after inactivation. The results suggest that the IPN has a role in CR-related reflex modification.

CerebellumBlinkingChemistryGeneral NeuroscienceConditioning ClassicalClassical conditioningUnconditioned responseUnconditioned stimulusConditioning EyelidCold TemperatureAmplitudemedicine.anatomical_structureEyeblink conditioningCerebellar NucleiBiophysicsmedicineReflexAnimalsRabbitsNeuroscienceNucleusNeuroscience letters
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