Search results for "Frames"

showing 10 items of 265 documents

Frames and weak frames for unbounded operators

2020

In 2012 G\u{a}vru\c{t}a introduced the notions of $K$-frame and of atomic system for a linear bounded operator $K$ in a Hilbert space $\mathcal{H}$, in order to decompose its range $\mathcal{R}(K)$ with a frame-like expansion. In this article we revisit these concepts for an unbounded and densely defined operator $A:\mathcal{D}(A)\to\mathcal{H}$ in two different ways. In one case we consider a non-Bessel sequence where the coefficient sequence depends continuously on $f\in\mathcal{D}(A)$ with respect to the norm of $\mathcal{H}$. In the other case we consider a Bessel sequence and the coefficient sequence depends continuously on $f\in\mathcal{D}(A)$ with respect to the graph norm of $A$.

42C15 47A05 47A63 41A65Atomic systemDensely defined operatorAtomic system010103 numerical & computational mathematics01 natural sciencesBounded operatorCombinatoricssymbols.namesakeReconstruction formulaSettore MAT/05 - Analisi MatematicaFOS: MathematicsComputational Science and EngineeringUnbounded operatorA-frame0101 mathematicsMathematicsApplied MathematicsHilbert spaceGraphFunctional Analysis (math.FA)Mathematics - Functional Analysis010101 applied mathematicsComputational MathematicssymbolsWeak A-framesBessel functionAdvances in Computational Mathematics
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Genomic structure and functional characterization of the human ADAM10 promoter

2005

The ADAM10 gene encodes a membrane-bound disintegrin-metalloproteinase, which, after overexpression in an Alzheimer disease (AD) mouse model, prevents amyloid pathology and improves long-term potentiation and memory. Because enhancing ADAM10 expression appears to be a reasonable approach for treatment of AD, we functionally analyzed the ADAM10 gene. Both human and mouse ADAM10 genes comprise approximately 160 kbp, are composed of 16 exons, and are evolutionarily highly conserved within 500 bp upstream of either translation initiation site. By using luciferase reporter assays, we demonstrate that nucleotides -2179 to -1 upstream of the human ADAM10 translation initiation site represent a fun…

5' Flanking Region5' flanking regionTretinoinBiologyPolymorphism Single NucleotideBiochemistryCell LineConserved sequenceADAM10 ProteinMiceOpen Reading FramesExonAlzheimer DiseaseGeneticsAnimalsHumansPromoter Regions GeneticMolecular BiologyTranscription factorGeneConserved SequenceExpressed Sequence TagsIntronMembrane ProteinsPromoterExonsMolecular biologyIntronsADAM ProteinsOpen reading frameMutagenesis Site-DirectedAmyloid Precursor Protein SecretasesBiotechnologyThe FASEB Journal
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An improvement of ComiR algorithm for microRNA target prediction by exploiting coding region sequences of mRNAs

2020

AbstractMicroRNA are small non-coding RNAs that post-transcriptionally regulate the expression levels of messenger RNAs. MicroRNA regulation activity depends on the recognition of binding sites located on mRNA molecules. ComiR is a web tool realized to predict the targets of a set of microRNAs, starting from their expression profile. ComiR was trained with the information regarding binding sites in the 3’utr region, by using a reliable dataset containing the targets of endogenously expressed microRNA in D. melanogaster S2 cells. This dataset was obtained by comparing the results from two different experimental approaches, i.e., inhibition, and immunoprecipitation of the AGO1 protein--a comp…

AGO1ImmunoprecipitationComputer sciencelcsh:Computer applications to medicine. Medical informaticsBiochemistryOpen Reading Frames03 medical and health sciences0302 clinical medicineStructural BiologymicroRNAMelanogasterAnimalsHumansCoding regionGene silencing3'UTRRNA MessengerBinding sitelcsh:QH301-705.5Molecular Biology030304 developmental biology0303 health sciencesMessenger RNAbiologyThree prime untranslated regionResearchApplied MathematicsmicroRNA target predictionbiology.organism_classificationComputer Science Applications3’UTRMicroRNAsDrosophila melanogasterlcsh:Biology (General)Coding regionlcsh:R858-859.7DNA microarrayDrosophila melanogasterAlgorithmAlgorithms030217 neurology & neurosurgeryBMC Bioinformatics
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Genetic organization of the citCDEF locus and identification of mae and clyR genes from Leuconostoc mesenteroides.

1999

ABSTRACT In this paper, we describe two open reading frames coding for a NAD-dependent malic enzyme ( mae ) and a putative regulatory protein ( clyR ) found in the upstream region of citCDEFG of Leuconostoc mesenteroides subsp. cremoris 195. The transcriptional analysis of the citrate lyase locus revealed one polycistronic mRNA covering the mae and citCDEF genes. This transcript was detected only on RNA prepared from cells grown in the presence of citrate. Primer extension experiments suggest that clyR and the citrate lyase operon are expressed from a bidirectional A-T-rich promoter region located between mae and clyR.

ATP citrate lyaseTranscription GeneticOperonMolecular Sequence DataMalatesLocus (genetics)Genetics and Molecular BiologyBiologyMicrobiologyPrimer extensionCitric AcidOpen Reading FramesBacterial ProteinsMalate DehydrogenaseMultienzyme ComplexesLeuconostocAmino Acid SequenceMolecular BiologyGeneGeneticsBase SequenceOxo-Acid-LyasesPromoterGene Expression Regulation BacterialSequence Analysis DNAbiology.organism_classificationMolecular biologyLeuconostoc mesenteroidesGenes BacterialSequence AlignmentLeuconostocJournal of bacteriology
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Dynamic stability of plane elastic frames

1982

Abstract The stability of plane elastic frames subjected to a vertical foundation motion of the stationary, ergodic type is investigated. The equations of motion are obtained in modal co-ordinates, with account taken of many modes of vibration. The problem is subsequently reduced to the study of only the first mode of vibration. By considering a particular case, the stability domains are sketched as functions of the variation of the rigidities of the beam-column connecting joints and as functions of the number of stories.

Acoustics and UltrasonicsPlane (geometry)Mechanical EngineeringSTRUCTURAL ANALYSISMotion (geometry)Equations of motionSTRUCTURAL ANALYSIS; MATHEMATICAL MODELS; STRUCTURAL FRAMESSTRUCTURAL FRAMESCondensed Matter PhysicsStability (probability)VibrationClassical mechanicsModalMechanics of MaterialsNormal modeErgodic theoryMATHEMATICAL MODELSMathematicsJournal of Sound and Vibration
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Congenital primary hypothyroidism with subsequent adenomatous goiter in a Turkish patient caused by a homozygous 10-bp deletion in the thyroid peroxi…

2006

Summary Objective  Congenital primary hypothyroidism occurs in 1 of 4000 births. Whereas the majority of the cases are due to developmental defects of the thyroid gland, 20% carry a defect in thyroid hormonogenesis. We report a Turkish boy who had goitrous hypothyroidism due to a mutation in the thyroid peroxidase (TPO) gene. Design  The TPO gene was sequenced directly from genomic DNA and cDNA which was transcribed from three RNA samples harvested from different parts of the patient's excised thyroid gland. Patient  The boy was thyroidectomized because of continuing growth of his thyroid gland and development of multiple nodes suspected of malignancy by ultrasound examination. Histopatholo…

AdenomaMaleThyroid Hormonesendocrine systemmedicine.medical_specialtyPathologyGoiterAdolescentTurkeyendocrine system diseasesEndocrinology Diabetes and Metabolismmedicine.medical_treatmentThyroid Function TestsBiologyIodide PeroxidaseThyroid function testsFrameshift mutationConsanguinityEndocrinologyThyroid peroxidaseInternal medicineCongenital HypothyroidismmedicineHumansIntracellular partmedicine.diagnostic_testHomozygoteThyroidThyroidectomyPrimary hypothyroidismmedicine.diseasePedigreeThyroxinemedicine.anatomical_structureEndocrinologyThyroidectomybiology.proteinGene DeletionGoiter NodularClinical Endocrinology
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Development of primary early-onset colorectal cancers due to biallelic mutations of the FANCD1/BRCA2 gene

2013

International audience; Fanconi anaemia (FA) is characterized by progressive bone marrow failure, congenital anomalies, and predisposition to malignancy. In a minority of cases, FA results from biallelic FANCD1/BRCA2 mutations that are associated with early-onset leukaemia and solid tumours. Here, we describe the clinical and molecular features of a remarkable family presenting with multiple primary colorectal cancers (CRCs) without detectable mutations in genes involved in the Mendelian predisposition to CRCs. We unexpectedly identified, despite the absence of clinical cardinal features of FA, a biallelic mutation of the FANCD1/BRCA2 corresponding to a frameshift alteration (c.1845_1846del…

AdultBiallelic MutationRNA Splicing[SDV]Life Sciences [q-bio]DNA Mutational AnalysisBiologymedicine.disease_causeArticleFrameshift mutationGeneticsmedicineHumansMissense mutationAge of OnsetGeneAllelesGenetics (clinical)BRCA2 ProteinGeneticsMutationPoint mutationComputational BiologyChromosome BreakageBRCA2 ProteinPedigree3. Good healthAmino Acid SubstitutionMutationFemaleRNA Splice SitesChromosome breakageColorectal NeoplasmsEuropean Journal of Human Genetics
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Homozygous variants in the gene SCAPER cause syndromic intellectual disability

2019

The S-Phase Cyclin A Associated Protein In The ER (SCAPER) gene is a ubiquitously expressed gene with unknown function in the brain. Recently, biallelic SCAPER variants were described in four patients from three families with retinitis pigmentosa (RP) and intellectual disability (ID). Here, we expand the spectrum of pathogenic variants in SCAPER and report on 10 further patients from four families with ID, RP, and additional dysmorphic features carrying homozygous variants in SCAPER. The variants found comprise frameshift, nonsense, and missense variants as well as an intragenic homozygous deletion, which spans SCAPER exons 15 and 16 and introduces a frameshift and a premature stop codon. A…

AdultMale0301 basic medicineAdolescentmedia_common.quotation_subjectCyclin ANonsenseGene Expression030105 genetics & heredityFrameshift mutationConsanguinityMice03 medical and health sciencesExonNeural Stem CellsIntellectual DisabilityRetinitis pigmentosaGene expressionGeneticsmedicineAnimalsHumansMissense mutationFamilyChildGeneGenetics (clinical)media_commonCerebral CortexNeuronsGeneticsbiologyHomozygoteSyndromemedicine.diseasePedigree030104 developmental biologyMutationbiology.proteinFemaleCarrier ProteinsRetinitis PigmentosaAmerican Journal of Medical Genetics Part A
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Phenotypical features of two patients diagnosed with PHARC syndrome and carriers of a new homozygous mutation in the ABHD12 gene.

2018

Abstract PHARC (Polyneuropathy, Hearing loss, Ataxia, Retinitis pigmentosa and Cataracts) (MIM# 612674 ) is an autosomal recessive neurodegenerative disease caused by mutations in the ABHD12 gene. We evaluated two Spanish siblings affected with pes cavus, sensorimotor neuropathy, hearing loss, retinitis pigmentosa and juvenile cataracts in whom the genetic test of ABHD12 revealed a novel homozygous frameshift mutation, c.211_223del (p.Arg71Tyrfs*26). The earliest clinical manifestation in these patients was a demyelinating neuropathy manifested with a Charcot-Marie-Tooth phenotype over three decades. Progressive hearing loss, cataracts and retinitis pigmentosa appeared after the age of 30. …

AdultMaleARLID12 genecongenital hereditary and neonatal diseases and abnormalitiesmedicine.medical_specialtyAtaxiagenetic structuresHearing lossUsher syndromeCharcot-Marie-Tooth diseaseCataractFrameshift mutation03 medical and health sciencesPolyneuropathies0302 clinical medicineCataractsRetinitis pigmentosaotorhinolaryngologic diseasesmedicineHumansMuscle SkeletalDeaf-blindnessbusiness.industryPHARCBrainmedicine.diseaseDermatologyMagnetic Resonance Imagingeye diseasesMonoacylglycerol LipasesPedigreePhenotypeNeurologySpainMutation030221 ophthalmology & optometryAtaxiasense organsNeurology (clinical)medicine.symptombusinessUsher syndromePolyneuropathy030217 neurology & neurosurgeryRetinitis PigmentosaRetinopathyJournal of the neurological sciences
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Molecular analysis of Gaucher disease: distribution of eight mutations and the complete gene deletion in 27 patients from Germany

1997

Gaucher disease is the most common lysosomal storage disease with a high prevalence in the Ashkenazi Jewish population but it is also present in other populations. The presence of eight mutations (1226G, 1448C, IVS2+1. 84GG, 1504T, 1604T, 1342C and 1297T) and the complete deletion of the beta-glucocerebrosidase gene was investigated in 25 unrelated non-Jewish patients with Gaucher's disease in Germany. In the Jewish population, three of these mutations account for more than 90% of all mutated alleles. In addition, relatives of two patients were included in our study. Restriction fragment length polymorphism analysis and sequencing of PCR products obtained from DNA of peripheral blood leukoc…

AdultMaleAdolescentGenotypePopulationBiologymedicine.disease_causeCompound heterozygosityFrameshift mutationGermanyGenotypeGeneticsmedicineHumansAlleleChildeducationGeneAllelesGenetics (clinical)GeneticsMutationeducation.field_of_studyGaucher DiseaseMiddle AgedPhenotypeChild PreschoolMutationFemaleRestriction fragment length polymorphismGene DeletionPolymorphism Restriction Fragment LengthHuman Genetics
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