Search results for "M2"

showing 10 items of 256 documents

The polyhedral Hodge number $h^{2,1}$ and vanishing of obstructions

2000

We prove a vanishing theorem for the Hodge number $h^{2,1}$ of projective toric varieties provided by a certain class of polytopes. We explain how this Hodge number also gives information about the deformation theory of the toric Gorenstein singularity derived from the same polytope. In particular, the vanishing theorem for $h^{2,1}$ implies that these deformations are unobstructed.

AlgebraPure mathematicsClass (set theory)Mathematics::Algebraic GeometrySingularityMathematics::Commutative AlgebraGeneral MathematicsDeformation theoryPolytope52B2014M25Mathematics::Symplectic GeometryMathematicsTohoku Mathematical Journal
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A presentation and a representation of the Held group

1996

In this note we give a brief description of a new presentation of the Held group, which is deduced only from the original work of D. Held in 1969, who shows that a finite simple group, having the same centralizer of a 2-central involution as in the Mathieu group M24, is M24, L5(2) or a group of order 4.030.387.200. The first complete uniqueness proof for the latter case was given by L. Soicher in 1991. The generators and relations occurring here are easy to verify by a simple Todd–Coxeter algorithm. It is an easy task to get a new uniqueness and existence proof of the Held group from this result. Also basic facts like the Schur Multiplier or the automorphism group of the Held group follow f…

AlgebraPure mathematicsPresentation of a groupHeld groupG-moduleKlein four-groupSymmetric groupGeneral MathematicsQuaternion groupSchur multiplierMathematicsMathieu group M24Archiv der Mathematik
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Targeting p53, hdm2, and CD19: vaccination and immunologic strategies.

2000

Peptides presented by class I major histocompatibility complex (MHC) molecules and derived from normal self-proteins that are expressed at elevated levels by cells from a variety of human (Hu) malignancies provide, in theory, potential target antigens for a broad-spectrum, cytotoxic T lymphocyte (CTL)-based immunotherapy of cancer and hematologic malignancies. However, as such tumor- and leukemia-associated self-proteins are also expressed at low levels in some types of normal tissues, such as thymus, spleen and lymphohemopoietic cells, these self-MHC-self-peptide complexes may also represent thymic and/or peripheral tolerogens, thereby preventing immune responses. This is particularly true…

Antigen presentationAntigens CD19chemical and pharmacologic phenomenaMice TransgenicMajor histocompatibility complexEpitopeMiceImmune systemAntigenNeoplasmsProto-Oncogene ProteinsCytotoxic T cellAnimalsHumansAvidityTransplantationAntigen PresentationbiologyHistocompatibility Antigens Class IVaccinationNuclear ProteinsProto-Oncogene Proteins c-mdm2HematologyCTL*Immunologybiology.proteinTumor Suppressor Protein p53T-Lymphocytes CytotoxicBone marrow transplantation
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Neuronal cell cycle: the neuron itself and its circumstances.

2015

Neurons are usually regarded as postmitotic cells that undergo apoptosis in response to cell cycle reactivation. Nevertheless, recent evidence indicates the existence of a defined developmental program that induces DNA replication in specific populations of neurons, which remain in a tetraploid state for the rest of their adult life. Similarly, de novo neuronal tetraploidization has also been described in the adult brain as an early hallmark of neurodegeneration. The aim of this review is to integrate these recent developments in the context of cell cycle regulation and apoptotic cell death in neurons. We conclude that a variety of mechanisms exists in neuronal cells for G1/S and G2/M check…

ApoptosisBrdU 5-bromo-2′-deoxyuridineReviewp75NTR neurotrophin receptor p75Nervous SystemG0 quiescent stateCKI Cdk-inhibitorNeuronsCell DeathNeurodegenerationCell CycleapoptosisNeurodegenerative DiseasesCell cycleCell biologymedicine.anatomical_structureInk inhibitor of kinaseBDNF brain-derived neurotrophic factorp38MAPK p38 mitogen-activated protein kinaseG2 growth phase 2Programmed cell deathS-phasePD Parkinson diseaseRb RetinoblastomaMcm2 minichromosome maintenance 2PCNA proliferating cell nuclear antigenMitosisContext (language use)BiologyCdk cyclin-dependent kinaseCNS central nervous systemS-phase synthesis phase.Cip/Kip cyclin inhibitor protein/kinase inhibitor proteinmedicineAnimalsHumansMolecular BiologyMitosisTetraploidAD Alzheimer diseasecell cycle re-entryDNA replicationCell BiologyNeuronmedicine.diseaseG1 growth phase 1neuronRGCs retinal ganglion cellsCell cycle re-entrytetraploidnervous systemApoptosisNeuronDevelopmental BiologyCell cycle (Georgetown, Tex.)
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Study on ambient concentrations of PM10, PM10-2.5, PM2.5 and gaseous pollutants. Trace elements and chemical speciation of atmospheric particulates

2010

Abstract This study provides the first comprehensive report on mass concentrations of particulate matter of various sizes, inorganic and organic gas concentrations monitored at three sampling sites in the city of Palermo (Sicily, Italy). It also provides information on the water-soluble species and trace elements. A total of 2054 PM10 (1333) and PM2.5 (721) daily measurements were collected from November 2006 to February 2008. The highest mass concentrations were observed at the urban stations, average values being about two times higher than those at the suburban (control) site. Time variations in PM10 and also PM10–2.5 were observed at the urban stations, the highest concentrations being …

Atmospheric ScienceAmmonium nitrateair pollution PM10 and PM2.5 secondary airborne particulate BTX trace elementsTrace elementAir pollutionParticulatesmedicine.disease_causeAerosolSettore GEO/08 - Geochimica E Vulcanologiachemistry.chemical_compoundNitratechemistryEnvironmental chemistrymedicineNitrogen dioxideSulfateGeneral Environmental Science
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Different muscarinic receptor subtypes modulate proliferation of primary human detrusor smooth muscle cells via Akt/PI3K and map kinases.

2013

While acetylcholine (ACh) and muscarinic receptors in the bladder are mainly known for their role in the regulation of smooth muscle contractility, in other tissues they are involved in tissue remodelling and promote cell growth and proliferation. In the present study we have used primary cultures of human detrusor smooth muscle cells (HDSMCs), in order to investigate the role of muscarinic receptors in HDSMC proliferation. Samples were obtained as discarded tissue from men >65 years undergoing radical cystectomy for bladder cancer and cut in pieces that were either immediately frozen or placed in culture medium for the cell culture establishment. HDSMCs were isolated from samples, propagat…

AtropineMalePyrrolidinesMessenger030232 urology & nephrologyGene ExpressionPhosphatidylinositol 3-Kinases0302 clinical medicineAged Atropine; pharmacology Benzofurans; pharmacology Carbachol; pharmacology Cell Proliferation Cells; Cultured Cholinergic Agonists; pharmacology Gene Expression Humans Male Mitogen-Activated Protein Kinases; metabolism Muscarinic Antagonists; pharmacology Myocytes; Smooth Muscle; metabolism Phosphatidylinositol 3-Kinases; metabolism Piperidines; pharmacology Pirenzepine; analogs /&/ derivatives/pharmacology Proto-Oncogene Proteins c-akt; metabolism Pyrrolidines; pharmacology RNA; Messenger; metabolism Receptors; Muscarinic; physiology Urinary Bladder; cytologyPiperidinesSmooth MuscleReceptorsMuscarinic acetylcholine receptor M5Muscarinic acetylcholine receptorCells CulturedCulturedMuscarinic acetylcholine receptor M3Muscarinic acetylcholine receptor M2Smooth muscle contractionMuscarinic acetylcholine receptor M1Receptors Muscarinic030220 oncology & carcinogenesisMitogen-Activated Protein KinasesAcetylcholinemedicine.drugmedicine.medical_specialtyCarbacholCellsMyocytes Smooth MuscleUrinary BladderMuscarinic AntagonistsBiologyCholinergic Agonists03 medical and health sciencesInternal medicineMuscarinicmedicineHumansRNA MessengerAgedBenzofuransCell ProliferationPharmacologyMyocytesPirenzepineEndocrinologyphysiologycytologyRNACarbacholanalogs /&/ derivatives/pharmacologymetabolismProto-Oncogene Proteins c-aktPharmacological research
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Receptor phosphorylation does not mediate cross talk between muscarinic M(3) and bradykinin B(2) receptors.

1999

This study examined cross talk between phospholipase C-coupled muscarinic M3and bradykinin B2receptors coexpressed in Chinese hamster ovary (CHO) cells. Agonists of either receptor enhanced phosphoinositide signaling (which rapidly desensitized) and caused protein kinase C (PKC)-independent, homologous receptor phosphorylation. Muscarinic M3but not bradykinin B2receptors were also phosphorylated after phorbol ester activation of PKC. Consistent with this, muscarinic M3receptors were phosphorylated in a PKC-dependent fashion after bradykinin B2receptor activation, but muscarinic M3receptor activation did not influence bradykinin B2receptor phosphorylation. Despite heterologous phosphorylatio…

Atropinemedicine.medical_specialtyReceptor Bradykinin B2PhysiologyGene ExpressionCHO CellsInositol 145-TrisphosphateMuscarinic AntagonistsBiologyMuscarinic AgonistsBradykininTransfectionTritiumInternal medicineCricetinaeMuscarinic acetylcholine receptor M5Muscarinic acetylcholine receptormedicineMuscarinic acetylcholine receptor M4AnimalsHumansBradykinin receptorPhosphorylationReceptorMethacholine ChlorideReceptor Muscarinic M3Receptors BradykininMuscarinic acetylcholine receptor M3Muscarinic acetylcholine receptor M2Cell BiologyMuscarinic acetylcholine receptor M1Receptor Cross-TalkReceptors MuscarinicRecombinant ProteinsEndocrinologyType C PhospholipasesCalciumInositolSignal TransductionThe American journal of physiology
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The non-neuronal cholinergic system in peripheral blood cells: Effects of nicotinic and muscarinic receptor antagonists on phagocytosis, respiratory …

2007

Peripheral blood cells express the complete non-neuronal cholinergic system. For example synthesis of acetylcholine and nicotinic as well muscarinic receptors have been demonstrated in leucocytes isolated from human peripheral blood. In the present experiments mononuclear cells and granulocytes were isolated from the peripheral blood to investigate content and synthesis of acetylcholine as well as phenotypic functions like respiratory burst, phagocytosis and migration. Mononuclear cells (T-cells and monocytes) contained 0.36 pmol/10(6) cells acetylcholine, whereas acetylcholine content in granulocytes was 100-fold lower. Acetylcholine synthesis amounted to 23.2+/-4.7 nmol/mg protein/h and 2…

Atropinemedicine.medical_specialtyTubocurarineMuscarinic AntagonistsNicotinic AntagonistsBiologyHexamethoniumGeneral Biochemistry Genetics and Molecular Biologychemistry.chemical_compoundPhagocytosisCell MovementInternal medicineMuscarinic acetylcholine receptorMuscarinic acetylcholine receptor M4medicineHumansGeneral Pharmacology Toxicology and PharmaceuticsChromatography High Pressure LiquidRespiratory BurstNeuronsDose-Response Relationship DrugMuscarinic acetylcholine receptor M3Muscarinic acetylcholine receptor M2General MedicineMuscarinic acetylcholine receptor M1BungarotoxinsAcetylcholineEndocrinologyNicotinic agonistchemistryLeukocytes MononuclearHexamethoniumAcetylcholineGranulocytesmedicine.drugLife Sciences
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Splittings of Toric Ideals

2019

Let $I \subseteq R = \mathbb{K}[x_1,\ldots,x_n]$ be a toric ideal, i.e., a binomial prime ideal. We investigate when the ideal $I$ can be "split" into the sum of two smaller toric ideals. For a general toric ideal $I$, we give a sufficient condition for this splitting in terms of the integer matrix that defines $I$. When $I = I_G$ is the toric ideal of a finite simple graph $G$, we give additional splittings of $I_G$ related to subgraphs of $G$. When there exists a splitting $I = I_1+I_2$ of the toric ideal, we show that in some cases we can describe the (multi-)graded Betti numbers of $I$ in terms of the (multi-)graded Betti numbers of $I_1$ and $I_2$.

Binomial (polynomial)Betti numberPrime idealExistential quantificationCommutative Algebra (math.AC)01 natural sciencesCombinatoricsInteger matrixMathematics::Algebraic Geometry0103 physical sciencesFOS: MathematicsGraded Betti numbers; Graphs; Toric idealsMathematics - Combinatorics0101 mathematicsMathematics::Symplectic GeometryMathematicsAlgebra and Number TheorySimple graphIdeal (set theory)Mathematics::Commutative AlgebraGraded Betti numbers Graphs Toric ideals010102 general mathematicsMathematics::Rings and Algebras16. Peace & justiceMathematics - Commutative AlgebraSettore MAT/02 - AlgebraToric ideals13D02 13P10 14M25 05E40Settore MAT/03 - Geometria010307 mathematical physicsCombinatorics (math.CO)Graded Betti numbersGraphs
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On hyperbolic type involutions

2001

We give a bound on the number of hyperbolic knots which are double covered by a fixed (non hyperbolic) manifold in terms of the number of tori and of the invariants of the Seifert fibred pieces of its Jaco-Shalen-Johannson decomposition. We also investigate the problem of finding the non hyperbolic knots with the same double cover of a hyperbolic one and give several examples to illustrate the results.

Bonahon-Siebenmann decomposition[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT]Seifert fibrationsMathematics::Dynamical Systemscyclic branched coversMathematics::Geometric Topology57M5057M6057M12[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]57M25orbifoldshyperbolic knots[MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]
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