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Fast Collaborative Graph Exploration
PublikacjaWe study the following scenario of online graph exploration. A team of k agents is initially located at a distinguished vertex r of an undirected graph. At every time step, each agent can traverse an edge of the graph. All vertices have unique identifiers, and upon entering a vertex, an agent obtains the list of identifiers of all its neighbors. We ask how many time steps are required to complete exploration, i.e., to make sure...
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Synchronization helps robots to detect black holes in directed graphs
PublikacjaPraca zawiera nowe wyniki dla problemu poszukiwania czarnej dziury w grafie skierowanym przez zbiór agentów. Czarna dziura jest węzłem niszczącym wszystkich wchodzącej do niej agentów. Pokazano, że w przypadku, gdy stopień wejściowy czarnej dziury wynosi D, do przeszukania grafu skierowanego w modelu synchronicznym wystarcza O(D 2^D) agentów. Wartość ta jest bliska znanemu z literatury oszacowaniu dolnemu Omega (2^D). W pracy pokazano...
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Wytwarzanie biogazu z kiszonki Sucrosorgo 506
PublikacjaW pracy przeprowadzono badania eksperymentalne nad fermentacją metanową kiszonki sorgo cukrowego Sucrosorgo 506 (Sorghum saccharatum) metodą mokrą. Doświadczenie prowadzono w skali laboratoryjnym w reaktorze o objętości czynnej 6 dm3. Hydrauliczny czas zatrzymania wsadu surowcowego (HRT) oraz obciążenie ładunkiem organicznym (OLR) wynosiły odpowiednio 60 d i 1,31±0,10 kg s.m.o/m3·d. Temperatura fermentacji wynosiła 39C. W oparciu...
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N-alkyl derivatives of 2-amino-2-deoxy-D-glucose
PublikacjaMono- i di-N-alkilowe pochodne 1,3,4,6-tetra-O-acetylo-2-amino-2-deoksy-beta-D-glukozy (alkil = metyl, etyl, propyl, butyl, pentyl, heksyl, benzyl) otrzymano w wyniku redukcyjnej alkilacji per-O-acetylo-D-glukozaminy. (N-etylo, N-propylo, N-butylo, N-pentylo, N-heksylo)-1,3,4,6-tetra-O-acetylo-2-amino-2-deoksy-beta-D-glukozy deacetylowano w celu podjęcia prób enzymatycznej fosforylacji. Wszystkie produkty scharakteryzowano za pomocą...
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Application of the distributed transfer function method and the rigid finite element method for modelling of 2-D and 3-D systems
PublikacjaIn the paper application of the Distributed Transfer Function Method and the Rigid Finite Element Method for modelling of 2-D and 3-D systems is presented. In this method an elastic body is divided into 1-D distributed parameter elements (strips or prisms). The whole body (divided into strips or prism) is described by a set of coupled partial differential equations. Solving this equations in the state space form it is possible...
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Systematic Study of Hydration Patterns of Phosphoric(V) Acid and Its Mono-, Di-, and Tripotassium Salts in Aqueous Solution
PublikacjaSpektroskopia oscylacyjna FTIR w zakresie drgania OD cząsteczki HDO została zastosowana do zbadania różnych form fosforanów w kolejności malejącego stopnia protonacji: H3PO4, KH2PO4, K2HPO4, K3PO4. HDO rozcieńczona izotopowo w H2O została otrzymana przez dodanie odpowiednich ilości wody ciężkiej (D2O) do roztworów w wodzie zwykłej. Do wyizolowania widm HDO zaburzonej przez substancję rozpuszczoną zastosowano metodę widm różnicowych....
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A novel cold-active β-D-galactosidase with transglycosylation activity from the Antarctic Arthrobacter sp. 32cB - gene cloning, purification and characterization
PublikacjaA gene encoding a novel β-D-galactosidase from the psychrotolerant Antarctic bacterium Arthrobacter sp. 32cB was isolated, cloned and expressed in Escherichia coli. The active form of recombinant β-D-galactosidase consists of two subunits with a combined molecular weight of approximately 257 kDa. The enzyme's maximum activity towards o-nitrophenyl-β-D-galactopyranoside was determined as occurring at 28 °C and pH 8.0. However, it...
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Smooth orthogonal projections on sphere.
PublikacjaWe construct a decomposition of the identity operator on the sphere S^d as a sum of smooth orthogonal projections subordinate to an open cover of S^d. We give applications of our main result in the study of function spaces and Parseval frames on the sphere.
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BCR expression is decreased in meningiomas showing loss of heterozygosity of 22q within a new minimal deletion region
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On the partition dimension of trees
PublikacjaGiven an ordered partition Π={P1,P2,…,Pt} of the vertex set V of a connected graph G=(V,E), the partition representation of a vertex v∈V with respect to the partition Π is the vector r(v|Π)=(d(v,P1),d(v,P2),…,d(v,Pt)), where d(v,Pi) represents the distance between the vertex vv and the set Pi. A partition Π of V is a resolving partition of G if different vertices of G have different partition representations, i.e., for every...
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Polynomial Algorithm for Minimal (1,2)-Dominating Set in Networks
PublikacjaDominating sets find application in a variety of networks. A subset of nodes D is a (1,2)-dominating set in a graph G=(V,E) if every node not in D is adjacent to a node in D and is also at most a distance of 2 to another node from D. In networks, (1,2)-dominating sets have a higher fault tolerance and provide a higher reliability of services in case of failure. However, finding such the smallest set is NP-hard. In this paper, we...
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An inherited NBN mutation is associated with poor prognosis prostate cancer
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Volumetric and acoustic properties of D-mannitol in aqueous sodium or magnesium(II) chloride solutions over temperature range of 293.15 to 313.15 K
PublikacjaWykorzystując zmierzone wartości gęstości oraz prędkości rozchodzenia się dźwięku wyznaczono pozorne objętości molowe i pozorne ściśliwości molowe D- mannitolu w (1, 5 i 10) % wodnych roztworach chlorku sodu oraz chlorku magnezu(II). Obliczono graniczne wartości pozornych wielkości molowych, odpowiednie funkcje przeniesienia oraz współczynniki rozszerzalności. Otrzymane wielkości powiązano z oddziaływaniami D-mannitol -sól (NaCl...
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Graphs with isolation number equal to one third of the order
PublikacjaA set D of vertices of a graph G is isolating if the set of vertices not in D and with no neighbor in D is independent. The isolation number of G, denoted by \iota(G) , is the minimum cardinality of an isolating set of G. It is known that \iota(G) \leq n/3 , if G is a connected graph of order n, , distinct from C_5 . The main result of this work is the characterisation of unicyclic and block graphs of order n with isolating number...
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The Efficacious Benefit of 25-Hydroxy Vitamin D to Prevent COVID-19: An In-Silico Study Targeting SARS-CoV-2 Spike Protein
PublikacjaThe environment has rapidly looked at proven specialist task forces in the aftermath of the COVID-19 pandemic to build public health policies and measures to mitigate the effects of emerging coronaviruses. According to the researchers, taking 10 μg of 25-hydroxy vitamin D daily is recommended to keep us safe. There have been several studies recently indicating that there is a reduced risk of contracting Coronavirus by 25-hydroxy...
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Synthesis of 2-amino-2,6-dideoxy-D-glucitol-6-sulfonic acid as a potential antifungal agent.
PublikacjaGlucosamine-6P (GlcN-6P) synthase catalyzes the first committed step in the biosynthetic pathway leading to the formation of UDP-GlcNAc, a sugar nucleotide precursor providing D-glucosamine for the formation of chitin and manoproteins. 2-Amino-2,6-dideoxy-D-glucitol-6-sulfonic acid is an analog of 2-amino-2-deoxy-D-glucitol 6-phosphate (GlcN-ol-6-P), a known inhibitor of GlcN-6-P synthase, in which the phosphate group of the latter...
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Synthesis of some quaternary N-(1,4-anhydro-5-deoxy-D,L-ribitol-5-yl)ammonium salts
PublikacjaOpisano matodę pomyślnego usuwania izopropylidenowych grup ochronnych z 1,4-anhydro-2,3-O-izopropylideno-5-O-tozylo-D,L-rybitolu i czwartorzędowych soli N-(1,4-anhydro-5-deoksy-D,L-rybitolo-5-yl)amoniowych. Struktury otrzymanych związków zostały określone przy pomocy analizy spektralnej, w tym 2D NMR. Otrzymano także dane dyfrakcyjne dla monokryształów 1,4-anhydro-5-O-tozylo-D,L-rybitolu i jego pochodnych 2,3-O-izopropylidenowych.
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A lower bound on the total outer-independent domination number of a tree
PublikacjaA total outer-independent dominating set of a graph G is a set D of vertices of G such that every vertex of G has a neighbor in D, and the set V(G)D is independent. The total outer-independent domination number of a graph G, denoted by gamma_t^{oi}(G), is the minimum cardinality of a total outer-independent dominating set of G. We prove that for every nontrivial tree T of order n with l leaves we have gamma_t^{oi}(T) >= (2n-2l+2)/3,...
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?? of the Sky? - automated search for fast optical transients over the whole sky
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40th EASD Annual Meeting of the European Association for the Study of Diabetes
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An Alternative Proof of a Lower Bound on the 2-Domination Number of a Tree
PublikacjaA 2-dominating set of a graph G is a set D of vertices of G such that every vertex not in D has a at least two neighbors in D. The 2-domination number of a graph G, denoted by gamma_2(G), is the minimum cardinality of a 2-dominating set of G. Fink and Jacobson [n-domination in graphs, Graph theory with applications to algorithms and computer science, Wiley, New York, 1985, 283-300] established the following lower bound on the 2-domination...
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On greedy graph coloring in the distributed model
PublikacjaArtykuł traktuje o zachłannym kolorowaniu grafów w modelu rozproszonym. Zaprezentowano nowy probabilistyczny algorytm dający w wyniku pokolorowanie LF. Udowodniono, że jakakolwiek rozproszona implementacja LF wymaga co najmniej D rund, gdzie D jest maksymalnym stopniem wierzchołka w grafie.
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Strefa podmiejska w warunkach zrównoważonego rozwoju.
PublikacjaNR DOKUM: D 73137
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Cold-Active beta-Galactosidases: Sources, Biochemical Properties and Their Biotechnological Potential
Publikacjabeta-D-Galactosidases have been studied extensively in terms of their application to a variety of industrial technologies. To date, considerable research efforts have been devoted to characterization of new cold-active beta-D-galactosidases which were isolated directly from selected species of bacteria and yeasts, as well as with the use of metagenomic approaches. This chapter will provide a review of current research towards cold-active...
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An upper bound on the total outer-independent domination number of a tree
PublikacjaA total outer-independent dominating set of a graph G=(V(G),E(G)) is a set D of vertices of G such that every vertex of G has a neighbor in D, and the set V(G)D is independent. The total outer-independent domination number of a graph G, denoted by gamma_t^{oi}(G), is the minimum cardinality of a total outer-independent dominating set of G. We prove that for every tree T of order n >= 4, with l leaves and s support vertices we have...
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Chemical characterization of wild populations of Brassica oleracea complex species (n=9) for the content of their bioactive compounds
PublikacjaThe wild species belonging to Brassica oleracea complex species (n=9) are widespread in the Mediterranean basin and represent the relative species of several vegetable crops, such as broccoli, cauliflower, kale, cabbage. They are characterized by the high level of bioactive compounds, such as glucosinolates (GLSs), known for their benefits for human health. Four accessions were evaluated: B. macrocarpa (BM) from Favignana (Trapani),...
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Systems of Nonlinear Fractional Differential Equations
PublikacjaUsing the iterative method, this paper investigates the existence of a unique solution to systems of nonlinear fractional differential equations, which involve the right-handed Riemann-Liouville fractional derivatives D(T)(q)x and D(T)(q)y. Systems of linear fractional differential equations are also discussed. Two examples are added to illustrate the results.
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Beta-D-galaktozydazy - źródła, właściwości i zastosowanie
PublikacjaArtykuł przeglądowy opisujący mechanizm działania enzymu beta-D-galaktozydazy, właściwości beta-D-galaktozydaz pochodzących z różnych mikroorganizmów, zarówno mezofilnych jak i psychrofilnych oraz termofilnych, a także możliwości zastosowania enzymu w przemysłowych procesach hydrolizy laktozy w mleku, serwatce oraz w reakcji syntezy galaktooligosacharydów.
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Operation of a free-electron laser from the extreme ultraviolet to the water window
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Static in vitro digestion model adapted to the general older adult population: an INFOGEST international consensus
PublikacjaUnderstanding the mechanisms of food digestion is of paramount importance to determine the effect foods have on human health. Significant knowledge on the fate of food during digestion has been generated in healthy adults due to the development of physiologically-relevant in vitro digestion models. However, it appears that the performance of the oro-gastrointestinal tract is affected by ageing and that a model simulating the digestive...
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Fast collaborative graph exploration
PublikacjaWe study the following scenario of online graph exploration. A team of k agents is initially located at a distinguished vertex r of an undirected graph. At every time step, each agent can traverse an edge of the graph. All vertices have unique identifiers, and upon entering a vertex, an agent obtains the list of identifiers of all its neighbors. We ask how many time steps are required to complete exploration, i.e., to make sure...
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Amygdalin: Toxicity, Anticancer Activity and Analytical Procedures for Its Determination in Plant Seeds
PublikacjaAmygdalin (D-Mandelonitrile 6-O--D-glucosido--D-glucoside) is a natural cyanogenic glycoside occurring in the seeds of some edible plants, such as bitter almonds and peaches. It is a medically interesting but controversial compound as it has anticancer activity on one hand and can be toxic via enzymatic degradation and production of hydrogen cyanide on the other hand. Despite numerous contributions on cancer cell lines, the clinical...
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An upper bound for the double outer-independent domination number of a tree
PublikacjaA vertex of a graph is said to dominate itself and all of its neighbors. A double outer-independent dominating set of a graph G is a set D of vertices of G such that every vertex of G is dominated by at least two vertices of D, and the set V(G)\D is independent. The double outer-independent domination number of a graph G, denoted by γ_d^{oi}(G), is the minimum cardinality of a double outer-independent dominating set of G. We prove...
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Certified domination
PublikacjaImagine that we are given a set D of officials and a set W of civils. For each civil x ∈ W, there must be an official v ∈ D that can serve x, and whenever any such v is serving x, there must also be another civil w ∈ W that observes v, that is, w may act as a kind of witness, to avoid any abuse from v. What is the minimum number of officials to guarantee such a service, assuming a given social network? In this paper, we introduce...
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A New Expression System Based on Psychrotolerant Debaryomyces macquariensis Yeast and Its Application to the Production of Cold-Active β-D-Galactosidase from Paracoccus sp. 32d
PublikacjaYeasts provide attractive host/vector systems for heterologous gene expression. The currently used yeast-based expression platforms include mesophilic and thermotolerant species. A eukaryotic expression system working at low temperatures could be particularly useful for the production of thermolabile proteins and proteins that tend to form insoluble aggregates. For this purpose, an expression system based on an Antarctic psychrotolerant...
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A demand for innovation support in samll and medium-sized enterprises in the baltic sea region
Publikacjathe aim of the expertise is to analyze the actual demand of smes from the baltic sea region for innovation support. the results of the conducted study can help formulate recommendations designed to increase innovation and competitiveness of smes in the baltic sea region in the future. research activities of this study include: the evaluation of innovation level of the baltic sea region enterprises (type and intensity of implemented...
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Apparatus to search for optical flashes of extragalactic origin
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A novel cold-active beta-D-galactosidase from the Paracoccus sp. 32d - gene cloning, purification and characterization
PublikacjaBeta-D-galactosidase (EC 3.2.1.23) catalyze the hydrolysis of terminal non-reducing beta-D-galactose residues in beta-D-galactosides. Cold-active beta-D-galactosidases have recently become a focus of attention of researchers and dairy product manufactures owing to theirs ability to: (I) eliminate of lactose from refrigerated milk for people afflicted with lactose intolerance, (II) convert lactose to glucose and galactose which...
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The stereostructure of candicidin D.
PublikacjaThe candicidin D stereostructure was established based on NMR studies including DQF-COSY, ROESY, HSQC and HMBC experiments. The relative configurations of the candicidin D stereogenic centers were assigned as the following: 9R*, 11S*, 13S*, 15R*, 17S*, 18R*, 19S*, 21R*, 36S*, 37R*, 38S*, 40S* and 41S*. The geometry of the heptaene chromophore was defined as 22E, 24E, 26Z, 28Z, 30E, 32E and 34E.
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Distributed largest-first algorithm for graph coloring.
PublikacjaW artykule zaprezentowano rozproszony, probabilistyczny algorytm kolorowania grafów. Kolorowanie uzyskane jest optymalne lub prawie optymalne dla takich klas grafów jak koła dwudzielne, gąsienice czy korony. Udowodniono, że algorytm ten działa w czasie O(D^2 log n) rund dla dowolnego grafu n wierzchołkowegoo stopniu maksymalnym D.
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Synthesis and antimicrobial activity of 6-sulfo-6-deoxy-D-glucosamine and its derivatives
Publikacja6-Sulfo-6-deoxy-D-glucosamine (GlcN6S), 6-sulfo-6-deoxy-D-glucosaminitol (ADGS) and their N-acetyl and methyl ester derivatives have been synthesized and tested as inhibitors of enzymes catalyzing reactions of the UDP-GlcNAc pathway in bacteria and yeasts. GlcN6S and ADGS at micromolar concentrations inhibited glucosamine-6-phosphate (GlcN6P) synthase of microbial origin. The former was also inhibitory towards fungal GlcN6P N-acetyl...
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Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds
PublikacjaLet M be a closed smooth connected and simply connected manifold of dimension m at least 3, and let r be a fixed natural number. The topological invariant D^m_r [f], defined by the authors in [Forum Math. 21 (2009), 491-509], is equal to the minimal number of r-periodic points in the smooth homotopy class of f, a given self-map of M. In this paper, we present a general combinatorial scheme of computing D^m_r [f] for arbitrary dimension...
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A New Boson with a Mass of 125 GeV Observed with the CMS Experiment at the Large Hadron Collider
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Note on the multidimensional Gebelein inequality
PublikacjaWe generalize the Gebelein inequality for Gaussian random vectors in R^d.
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On the super domination number of lexicographic product graphs
PublikacjaThe neighbourhood of a vertexvof a graphGis the setN(v) of all verticesadjacent tovinG. ForD⊆V(G) we defineD=V(G)\D. A setD⊆V(G) is called a super dominating set if for every vertexu∈D, there existsv∈Dsuch thatN(v)∩D={u}. The super domination number ofGis theminimum cardinality among all super dominating sets inG. In this article weobtain closed formulas and tight bounds for the super dominating number oflexicographic product...
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A lower bound on the double outer-independent domination number of a tree
PublikacjaA vertex of a graph is said to dominate itself and all of its neighbors. A double outer-independent dominating set of a graph G is a set D of vertices of G such that every vertex of G is dominated by at least two vertices of D, and the set V(G)D is independent. The double outer-independent domination number of a graph G, denoted by gamma_d^{oi}(G), is the minimum cardinality of a double outer-independent dominating set of G. We...
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Multi-Beam Antenna for Ka-Band CubeSat Connectivity Using 3-D Printed Lens and Antenna Array
PublikacjaIn this paper, the design of a passive multi-beam lens antenna is proposed for the CubeSat space communication system as an alternative application of a 2-D microstrip antenna array that has originally been designed for a 39 GHz 5 G MU-MIMO system. The half-ellipsoid lens is 3-D printed using stereolithography (SLA) technology. The antenna prototype is capable of selecting the main beam between 16 different directions with a gain...
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Parametric Study on a Performance of a Small Counter-Rotating Wind Turbine
PublikacjaA small Counter-Rotating Wind Turbine (CRWT) has been proposed and its performancehas been investigated numerically. Results of a parametric study have been presented in this paper.As parameters, the axial distance between rotors and a tip speed ratio of each rotor have been selected.Performance parameters have been compared with reference to a Single Rotor Wind Turbine (SRWT).Simulations were carried out with Computational Fluids...
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Synthesis of phosphono and phosphate derivatives of hydroxyimino-D-alditols as new potential antifungal agents
PublikacjaIn search for new effective we antyfungals we focus on two enzymes involved in biosynthesis of the fungal cell wall. The first enzyme is glucosamine-6-phosphate (GlmS), which catalyzes transformation of D-fructose-6-phosphate (Fru-6P) to D-glucosamine-6-phodphate (GlcN-6P) in the chitin biosynthesis pathway. The second enzyme is phosphomannose isomerase (PMI) repored to play a crucial role in biosynthesis of many mannosylated structures,...
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Linear game non-contextuality and Bell inequalities—a graph-theoretic approach
PublikacjaWe study the classical and quantum values of a class of one-and two-party unique games, that generalizes the well-known XOR games to the case of non-binary outcomes. In the bipartite case the generalized XOR(XOR-d) games we study are a subclass of the well-known linear games. We introduce a 'constraint graph' associated to such a game, with the constraints defining the game represented by an edge-coloring of the graph. We use the...