Search results for "combinatorial"

showing 10 items of 1208 documents

Statistics-preserving bijections between classical and cyclic permutations

2012

Recently, Elizalde (2011) [2] has presented a bijection between the set C"n"+"1 of cyclic permutations on {1,2,...,n+1} and the set of permutations on {1,2,...,n} that preserves the descent set of the first n entries and the set of weak excedances. In this paper, we construct a bijection from C"n"+"1 to S"n that preserves the weak excedance set and that transfers quasi-fixed points into fixed points and left-to-right maxima into themselves. This induces a bijection from the set D"n of derangements to the set C"n"+"1^q of cycles without quasi-fixed points that preserves the weak excedance set. Moreover, we exhibit a kind of discrete continuity between C"n"+"1 and S"n that preserves at each s…

0102 computer and information sciencesFixed point[ MATH.MATH-CO ] Mathematics [math]/Combinatorics [math.CO]01 natural sciencesCombinatorial problemsTheoretical Computer ScienceCyclic permutationSet (abstract data type)CombinatoricsBijections[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]0101 mathematicsComputingMilieux_MISCELLANEOUSMathematicsDescent (mathematics)Discrete mathematicsStatistics on permutationsMathematics::Combinatorics010102 general mathematicsDescentComputer Science ApplicationsDerangement010201 computation theory & mathematicsExcedenceSignal ProcessingBijectionBijection injection and surjectionMaximaInformation Systems
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Sensitive Assays by Nucleophile-Induced Rearrangement of Photoactivated Diarylethenes.

2018

Upon light-induced isomerization, diarylethenes (DAEs) equipped with reactive aldehyde moieties rearrange selectively in the presence of amines, accompanied by decoloration. In a comprehensive study, the probe structure was optimized with regard to its inherent reactivity in the nucleophile-triggered rearrangement reaction. Detailed structure−reactivity relationships could be derived, in particular with regard to the type of integrated (het)aryl moieties as well as the location of the formyl residue, and the probes’ intrinsic reactivity with primary and secondary amines was optimized. Utilizing an ancillary base, the initially formed rearrangement product can engage in a subsequent catalyti…

010402 general chemistry01 natural sciencesBiochemistryAldehydeCatalysischemistry.chemical_compoundPhotochromismColloid and Surface ChemistryNucleophile541 Physikalische ChemieReactivity (chemistry)Rearrangement reactionsensingchemistry.chemical_classification010405 organic chemistryArylGeneral ChemistryphotochromismCombinatorial chemistry0104 chemical sciences540 Chemie und zugeordnete WissenschaftenaminechemistryCatalytic cycleddc:540diaryletheneddc:541547 Organische ChemieIsomerizationddc:547Journal of the American Chemical Society
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A solvent-directed stereoselective and electrocatalytic synthesis of diisoeugenol.

2018

A stereoselective and electrocatalytic coupling reaction of isoeugenol has been reported for the first time in a 1,1,1,3,3,3-hexafluoro-2-propanol (HFIP)/boron-doped diamond (BDD) electrode system. This particular C-C bond formation and diastereoselectivity is driven by a solvate interaction between the radical species and another isoeugenol molecule. Due to an electrocatalytic cycle, only understoichiometric amounts of charge are necessary. Since electric current is directly employed as the oxidant, the reaction is metal and reagent-free. In addition, the electrolysis can be conducted in a very simple undivided beaker-type cell under constant current conditions. Therefore, the protocol is …

010402 general chemistry01 natural sciencesCatalysisCoupling reactionlaw.inventionMetalchemistry.chemical_compoundlawMaterials ChemistryMoleculeElectrolysis010405 organic chemistryMetals and AlloysGeneral ChemistryCombinatorial chemistry0104 chemical sciencesSurfaces Coatings and FilmsElectronic Optical and Magnetic MaterialsSolventIsoeugenolchemistryvisual_artElectrodeCeramics and Compositesvisual_art.visual_art_mediumStereoselectivityChemical communications (Cambridge, England)
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Heavy enzymes and the rational redesign of protein catalysts

2019

Abstract An unsolved mystery in biology concerns the link between enzyme catalysis and protein motions. Comparison between isotopically labelled “heavy” dihydrofolate reductases and their natural‐abundance counterparts has suggested that the coupling of protein motions to the chemistry of the catalysed reaction is minimised in the case of hydride transfer. In alcohol dehydrogenases, unnatural, bulky substrates that induce additional electrostatic rearrangements of the active site enhance coupled motions. This finding could provide a new route to engineering enzymes with altered substrate specificity, because amino acid residues responsible for dynamic coupling with a given substrate present…

010402 general chemistryProtein Engineering01 natural sciencesBiochemistryCatalysisEnzyme catalysisisotope effectsCatalytic DomainDihydrofolate reductaseMolecular BiologyAlcohol dehydrogenasechemistry.chemical_classificationalcohol dehydrogenasesCarbon Isotopesdihydrofolate reductasesbiologyBacteriaNitrogen Isotopes010405 organic chemistryConceptOrganic ChemistryAlcohol DehydrogenaseActive siteSubstrate (chemistry)Protein engineeringDeuteriumCombinatorial chemistrymolecular dynamics0104 chemical sciencesKineticsTetrahydrofolate Dehydrogenaseenzyme engineeringEnzymechemistrybiology.proteinBiocatalysisMolecular MedicineConcepts
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9,10-Phenanthrenedione as Visible-Light Photoredox Catalyst: A Green Methodology for the Functionalization of 3,4-Dihydro-1,4-Benzoxazin-2- Ones thro…

2018

A visible-light photoredox functionalization of 3,4-dihydro-1,4-benzoxazin-2-ones through a Friedel-Crafts reaction with indoles using an inexpensive organophotoredox catalyst is described. The reaction uses a dual catalytic system that is formed by a photocatalyst simple and cheap, 9,10-phenanthrenedione, and a Lewis acid, Zn(OTf)2. 5W white LEDs are used as visible-light source and oxygen from air as a terminal oxidant, obtaining the corresponding products with good yields. The reaction can be extended to other electron-rich arenes. Our methodology represents one of the most valuable and sustainable approach for the functionalization of 3,4-dihydro-1,4-benzoxazin-2-ones, as compared to th…

010402 general chemistrylcsh:Chemical technology01 natural sciencesCatalysisCatalysislcsh:Chemistrychemistry.chemical_compoundCatàlisiTryptophollcsh:TP1-1185Lewis acids and basesorganic_chemistryPhysical and Theoretical ChemistryFriedel-Crafts reactionFriedel–Crafts reaction010405 organic chemistryindolesCombinatorial chemistry0104 chemical scienceschemistrylcsh:QD1-999visible-light photocatalysis14-benzoxazin-2-onesPhotocatalysisSurface modificationorganophotoredox catalysisQuímica orgànicaDerivative (chemistry)Visible spectrum
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A concise route to MK-4482 (EIDD-2801) from cytidine.

2020

A two-step route to MK-4482 (EIDD-2801, 1) was developed consisting of an esterification and hydroxamination of cytidine. The selective acylation and direct amination eliminate the need for protecting and activating groups and proceed in overall yield of 75%, a significant advancement over the reported yield of 17%. The step count is reduced from five transformations to two, and expensive uridine is replaced with the more available cytidine.

010405 organic chemistryAcylationMetals and AlloysCytidineGeneral ChemistryCytidine010402 general chemistryHydroxylamines01 natural sciencesCombinatorial chemistryCatalysisUridine0104 chemical sciencesSurfaces Coatings and FilmsElectronic Optical and Magnetic MaterialsAcylationchemistry.chemical_compoundKineticschemistryYield (chemistry)Materials ChemistryCeramics and CompositesStep countAminationChemical communications (Cambridge, England)
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Electrochemical Fluorocyclization of N-Allylcarboxamides to 2-Oxazolines by Hypervalent Iodine Mediator

2018

A resource saving protocol for the synthesis of 5-fluoromethyl-2-oxazolines by using electrochemistry has been realized. Thereby, a hypervalent iodine species I(III) is generated by anodic oxidation in the presence of Et3N·5HF and mediates the cyclization of N-allylcarboxamide to 5-fluoromethyl-2-oxazoline. This method allows application to various substrates furnishing the 2-oxazolines with yields up to 68%. The protocol is easy to conduct under constant current conditions offering a sustainable alternative over conventional reagent-based pathways.

010405 organic chemistryAnodic oxidationResource savingOrganic ChemistryHypervalent moleculechemistry.chemical_element010402 general chemistryIodineElectrochemistry01 natural sciencesBiochemistryCombinatorial chemistry0104 chemical scienceschemistryReagentPhysical and Theoretical ChemistryOrganic Letters
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Palladium-catalyzed amination of aryl dibromides with secondary amines: synthetic and mechanistic aspects

1999

Abstract Diaminobenzenes are obtained starting from m- and p-dibromobenzenes and secondary amines in the presence of Pd(dba)2/P(o-tolyl)3and sodium tert-butoxide in moderate to good yields. Reductive dehalogenation of aryl dibromides is a major side reaction under these conditions. The study of this reaction has shown that the formation of reductive dehalogenation products occurs according to two independent ways. The first one proceeds via the well-known β-hydride elimination from amido-coordinated palladium complexes. The second one involves the formation of hydrido palladium complexes from amino-coordinated derivatives. Although our results do not allow us to propose a detailed mechanist…

010405 organic chemistryChemistryArylOrganic ChemistrySide reactionHalogenationchemistry.chemical_element010402 general chemistry01 natural sciencesBiochemistryCombinatorial chemistry0104 chemical sciencesCatalysischemistry.chemical_compoundDeprotonationDrug Discovery[CHIM]Chemical SciencesOrganic chemistryComputingMilieux_MISCELLANEOUSAminationPalladiumTetrahedron Letters
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Exploring the Chemoselectivity towards Cysteine Arylation by Cyclometallated Au III Compounds: New Mechanistic Insights

2020

To gain more insight into the factors controlling the efficient cysteine arylation by cyclometalated Au(III) complexes, the reaction between selected gold compounds and different peptides was investigated by high‐resolution liquid chromatography electrospray ionization mass spectrometry (HR‐LC‐ESI‐MS). The deducted mechanisms of C–S cross‐coupling, also supported by density functional theory (DFT) and quantum mechanics/molecular mechanics (QM/MM) calculations, evidenced the key role of secondary peptidic gold binding sites in favouring the process of reductive elimination.

010405 organic chemistryChemistryElectrospray ionizationOrganic Chemistrycyclometallated gold complexes010402 general chemistryMass spectrometry01 natural sciencesBiochemistryCombinatorial chemistryMolecular mechanicsReductive elimination0104 chemical sciencesddc:cysteine arylationGold CompoundschemoselectivitySettore CHIM/03 - Chimica Generale E InorganicapeptidesMolecular MedicineDensity functional theoryChemoselectivityMolecular BiologyCysteinemass spectrometry
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Synthesis of P-Chirogenic Diphosphinotriazoles and Their Use in Asymmetric Catalysis

2021

International audience; The stereoselective synthesis of P-chirogenic diphosphinotriazoles using ephedrine methodology was described. The coordination behavior of these compounds as P,P-ligands has been demonstrated by the preparation as well as the spectroscopic and X-ray crystallographic analyses of a palladium complex. The efficiency of these new P-chirogenic diphosphines in the palladiumcatalyzed asymmetric allylic substitution reaction was also evaluated.

010405 organic chemistryChemistryEnantioselective synthesischemistry.chemical_element[CHIM]Chemical SciencesGeneral Chemistry010402 general chemistry01 natural sciencesCombinatorial chemistry0104 chemical sciencesPalladium
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