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Wyniki wyszukiwania dla: g-quadruplex stabilization
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Estimation of the minimal number of periodic points for smooth self-maps of odd dimensional real projective spaces
PublikacjaLet f be a smooth self-map of a closed connected manifold of dimension m⩾3. The authors introduced in [G. Graff, J. Jezierski, Minimizing the number of periodic points for smooth maps. Non-simply connected case, Topology Appl. 158 (3) (2011) 276-290] the topological invariant NJD_r[f], where r is a fixed natural number, which is equal to the minimal number of r-periodic points in the smooth homotopy class of f. In this paper smooth...
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Liquefaction of macroalgae Enteromorpha biomass for the preparation of biopolyols by using crude glycerol
PublikacjaThis article describes the liquefaction process of macroalgae Enteromorpha with the use of crude glycerol as a solvent and a reagent, aimed at obtaining of new bio-polyols, which are characterized with respect to their chemical structure, physical and thermal properties. Six different biopolyols were prepared. In order to optimize the liquefaction of algal biomass for the best bio-polyol properties, two catalysts (sulfuric or orthophosphoric...
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Analiza dokładności pomiarów pulsu na podstawie zarejestrowanej sekwencji wideo obszaru twarzy
PublikacjaZa pomocą prostej kamery internetowej zarejestrowano sekwencje wideo obszaru twarzy, równolegle wykonując pomiar EKG. Sekwencje wideo poszczególnych składowych (R,G,B) uśredniono w następujących obszarach: całej twarzy, czoła oraz policzków uzyskując w ten sposób dla każdego z kanałów RGB serie czasowe odpowiadające wybranym obszarom twarzy. Aby usunąć zakłócenia związane m.in. z oddechem i ruchem zastosowano filtr pasmowy (FIR)....
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UNDERWATER NOISE GENERATED BY A SMALL SHIP IN THE SHALLOW SEA
PublikacjaStudy of the sea noise has been a subject of interest for years. The first work of this scope were published at the turn of the twentieth century by Knudsen (KNUDSEN et al., 1948) and G. Wenz (WENZ, 1962). Disturbances called "shipping noise" are one of the important components of the sea noise. In this work the results of an experimental research of underwater noise produced by a small ship of a classic propulsion are...
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Efficiency of pollutant removal by five multistage constructed wetlands in a temperate climate
PublikacjaIn recent years, an increase in interest in hybrid constructed wetland systems (HCWs) has beenobserved. These systems are composed of two or more filters with different modes of sewage flow.Based on over eight years of monitoring, carried out at five local HCWs located in the PomeraniaRegion of Northern Poland, the effective removal of organic matter (from 74.9 to 95.5% COD) in theloading range 1.5-17.0 g COD·m-2·d-1 was confirmed....
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Red Algae – An Alternative Source of Carbon Material for Energy Storage Application
PublikacjaNew electrode material obtained by pyrolysis of aquatic biomass macro (red algae) soaked with glucose solution has been characterized by SEM, EDX and Raman spectroscopy. Graphitized carbon was identified by Raman spectroscopy. Galvanostatic cyclic polarization of the materials in contact with 1M LiPF6 electrolyte in EC:DMC (1:1 v/v) and Li as a counter electrode was performed. Specific capacity of the novel material was enhanced...
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Impact of probability distribution on the uncertainty of resistance measurement
PublikacjaThe paper presents studies on the influence of probability distributions on the expanded uncertainty of the resistance measurement. Choosing the correct probability distribution is very important to estimate of measurement uncertainty. The paper presents the results of analysis of the resistance measurement uncertainty using the technical method of resistance: 100 G. The analysis of the uncertainty...
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Mountain pass solutions to Euler-Lagrange equations with general anisotropic operator
PublikacjaUsing the Mountain Pass Theorem we show that the problem \begin{equation*} \begin{cases} \frac{d}{dt}\Lcal_v(t,u(t),\dot u(t))=\Lcal_x(t,u(t),\dot u(t))\quad \text{ for a.e. }t\in[a,b]\\ u(a)=u(b)=0 \end{cases} \end{equation*} has a solution in anisotropic Orlicz-Sobolev space. We consider Lagrangian $\Lcal=F(t,x,v)+V(t,x)+\langle f(t), x\rangle$ with growth conditions determined by anisotropic G-function and some geometric conditions...
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Od odpadów rolniczych do wysokowydajnego sorbentu. Węgiel aktywny pochodzący z łupin orzechów laskowych do oczyszczania wody i ścieków
PublikacjaŁupiny orzechów laskowych, produkt uboczny przemysłu spożywczego, mają znaczny potencjał jako prekursor do produkcji węgla aktywnego ze względu na ich dużą dostępność i dużą zawartość węgla. Przedstawiono badania możliwości przekształcenia łupin orzechów laskowych w węgiel aktywny, wykorzystany do oczyszczania ścieków z zanieczyszczeń organicznych. Porównano procesy aktywacji fizycznej i chemicznej otrzymanego węgla. Otrzymano...
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Rola niskoprzetworzonych produktów (w tym soków) w diecie, a profilaktyka chorób dietozależnych
PublikacjaPrawidłowo zbilansowana dieta, obok aktywności fizycznej, ma zasadnicze znaczenie w zachowaniu dobrego stanu zdrowia, utrzymaniu prawidłowej masy ciała i zmniejszeniu ryzyka wystąpienia szeregu przewlekłych chorób niezakaźnych takich jak otyłość, cukrzyca i osteoporoza, choroby układu krążenia oraz niektórych rodzajów nowotworów. Obecnie powszechnie uznaje się, że panująca pandemia otyłości i związane z nią choroby są spowodowane...
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Global 30-day outcomes after bariatric surgery during the COVID-19 pandemic (GENEVA): an international cohort study
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Model ruchowy sygnalizacji w sieci pakietowej z protokołem SIP
PublikacjaW pracy przedstawiono koncepcję analizy ruchowej sygnalizacji protokołu SIP. Zwrócono uwagę na szczególne cechy protokołu SIP, które należy uwzględnić przy tworzeniu modelu ruchowego. Po przyjęciu pewnych założeń upraszczających zaproponowano model ruchowy składający się z szeregowo połączonych modeli M/G/1. Podano również wzory umożliwiające obliczenie jednego z ważniejszych parametrów QoS, którym jest średni czas przebywania...
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Photocatalytic activity and surface properties of carbon-doped titanium dioxide
PublikacjaTiO2 domieszkowany węglem otrzymano poprzez hydrolizę izopropanolanu tytanu(IV) i kalcynację w 350ºC w atmosferze powietrza przez 2h. Przeprowadzone badania wykazały, że fenol (0.21 mM) jest efektywnie degradowany w fazie wodnej, w obecności otrzymanego fotokatalizatora oraz światła z zakresu widzialnego (λ>400 nm). Pole powierzchni właściwej otrzymanego C-TiO2 wynosiło około 127 m2/g, fotokatalizator absorbuje światło z zakresu...
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Usuwanie hydrofobowych zanieczyszczeń ropopochodnych z gleby metodą odmywania za pomocą roztworów związków powierzchniowo czynnych = Washing out of hydrophobic organic pollutants from soil using surfactants solutions
PublikacjaBadano efektywność oczyszczania gleby zanieczyszczonej substancjami ropopochodnymi. W badaniach wykorzystano surfaktanty niejonowe z grupy oksyetylenowanych alkoholi tłuszczowych i alkilopoliglukozydów oraz biosurfaktant z grupy ramnolipidów. Efektywność odmycia gleby w zależności od rodzaju surfaktantów wahała się od 67 do 78% przy stężeniu surfaktantu 3 g/L. Wraz ze wzrostem stężenia surfaktantu w roztworze obserwowano wzrost...
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Stimulated by cyclodextrins high yield synthesis of azocrown analogues comprising pyrrole or imidazole residues
PublikacjaThe influence of cyclodextrins (CDs) on the formation of azocrown ethers comprising pyrrole, imidazole and substituted imidazole has been studied. Pyrrole, imidazole, 2-methyl-, 4-methyl- and 4-phenylimidazole were coupled with bisdiazonium salts derived from bis-1,5-(2-aminophenoxy)-3-oxapentane or bis-1,8-(2-aminophenoxy)-3,6-dioxaoctane to form macrocyclic compounds with two azo units. The syntheses were performed under standard...
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Model ruchowy sygnalizacji w sieci pakietowej z protokołem SIP
PublikacjaW pracy przedstawiono koncepcję analizy ruchowej sygnalizacji protokołu SIP. Zwrócono uwagę na szczególne cechy protokołu SIP, które należy uwzględnić przy tworzeniu modelu ruchowego. Po przyjęciu pewnych założeń upraszczających zaproponowano model ruchowy składający się z szeregowo połączonych modeli M/G/1. Podano również wzory umożliwiające obliczenie jednego z ważniejszych parametrów QoS, którym jest średni czas przebywania...
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On-line P-coloring of graphs
PublikacjaFor a given induced hereditary property P, a P-coloring of a graph G is an assignment of one color to each vertex such that the subgraphs induced by each of the color classes have property P. We consider the effectiveness of on-line P-coloring algorithms and give the generalizations and extensions of selected results known for on-line proper coloring algorithms. We prove a linear lower bound for the performance guarantee function...
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Białka aktywne biologicznie obecne w soku pokrochmalnianym
PublikacjaPodczas przetwarzania 1 tony ziemniaków na skrobię powstaje od 5 do 12 m3 odpadów ciekłych, które zawierają 300-410 g białek na 1 kg suchej masy. Trzy główne grupy białek to: białka typu patatyny, inhibitory proteaz o charakterze zasadowym, grupa białek złożonych o wielkości 22 kDa. Białka te mogą zostać wyizolowane z soku pokrochmalnianego w formie natywnej, a następnie wykorzystane jako: środki ochrony roślin, dodatki do żywności...
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Low-energy electron scattering from molecular hydrogen: Excitation of the X1Σg+ to b3Σu+ transition
PublikacjaWe present time-of-flight differential cross-section measurements and convergent close-coupling calculations of differential cross sections for the electron-impact excitation of the X 1 g + → b 3 u + transition in molecular hydrogen. A part of this work was recently published [M. Zawadzki et al., Phys. Rev. A 97, 050702(R) (2018)]. In this work, agreement between theory and experiment is excellent overall, and marks a transition...
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Nanoparticle-assisted biohydrogen production from pretreated food industry wastewater sludge: Microbial community shifts in batch and continuous processes
PublikacjaBiohydrogen production from industrial waste has gained a significant attention as a sustainable energy source. In this study, the enrichment of biohydrogen production from pretreated dissolved air flotation (DAF) sludge, generated from food industry wastewater treatment plants, was investigated using SiO2@Cu-Ag dendrites cor- e–shell nanostructure (NS). The effect of NS on the changes of the microbial community and biohydrogen...
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No Evidence for Sex-specificity in Vitamin C, E and Fatty Acid Content of Human Milk from Healthy Polish Mothers
PublikacjaHuman milk (HM) is a complex fluid that meets the nutritional needs of infants. Its composition idrfs associated with environmental, maternal, and foetal variables. It provides nutrients and bioactive substances, including cytokines, immunoglobulins, and constituents with antioxidative properties. Boys are reportedly more susceptible to oxidative stress. This study aimed to determine the relationship between infant sex and the...
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A novel analytical approach in the assessment of unprocessed Kaffir lime peel and pulp as potential raw materials for cosmetic applications
PublikacjaVolatile fraction of fruits is a rich source of bioactive and aroma compounds, which can be used in the cosmetics industry after meeting relevant criteria. This is particularly evident in citrus fruits, especially in Citrus hystrix, in which the headspace consists mainly of terpenes. Due to the insufficient sensitivity of analytical methods, essential oils are used in investigations in contrast to fresh fruits. Therefore, a novel...
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Fluorescence studies by quenching and protein unfolding on the interaction of bioactive compounds in water extracts of kiwi fruit cultivars with human serum albumin
PublikacjaThe main aim of this investigation was to characterize new kiwi fruit cultivars after cold storage treatment and to determine the similarities and differences between them, using spectroscopic methods. The chemometric comparison of kiwi fruit cultivars based on physicochemical indices during cold storage was carried out. All kiwi fruit cultivars showed a high level of correlation between the contents of phenolic compounds (polyphenols,...
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Optimization of capillary isotachophoretic method for determination of major macroelements in blue honeysuckle berries (Lonicera caerulea L.) and related products
PublikacjaA reliable and repeatable isotachophoretic method for the simultaneous determination of K+, Na+, Ca2+, Mg2+ and ammonium in berries of different blue honeysuckle cultivars was developed. The usefulness of the complex-forming equilibria in determining the cations mentioned above was studied. The addition of 7.5 mM 18-crown-6 and 2 mM α-hydroxyisobutyric acid to sulfuric acid enhanced the separation capacity of the leading electrolyte....
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Storm petrels as indicators of pelagic seabird exposure to chemical elements in the Antarctic marine ecosystem
PublikacjaData on trace element bioavailability in the south-polar marine ecosystem is still scarce, compared to that relating to temperate zones. Seabirds can be used as indicators of ecosystem health and sentinels of environmental pollution, constituting a link between marine and terrestrial environments. Here, we analysed the concentration of 17 elements (with special emphasis on mercury, Hg) in feathers of adults and chicks of two pelagic...
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Superhydrophobic sponges based on green deep eutectic solvents for spill oil removal from water
PublikacjaThe paper described a new method for crude oil-water separation by means of superhydrophobic melamine sponges impregnated by deep eutectic solvents (MS-DES). Due to the numerous potential of two-component DES formation, simple and quick screening of 156 non-ionic deep eutectic solvents using COSMO-RS (Conductor-like Screening Model for Real Solvents) computational model was used. DES which were characterized by high solubility...
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Comparison of the Efficiency of Deammonification under Different DO Concentrations in a Laboratory-Scale Sequencing Batch Reactor
PublikacjaThe efficiency of deammonification depends on the cooperation of ammonium oxidizing bacteria and archaea (AOB/AOA), anaerobic ammonium oxidizing bacteria (AnAOB) and the effective suppression of nitrite oxidizing bacteria (NOB) that compete with AnAOB for nitrite (NO2 -N). One of the effective NOB suppression strategies is intermittent aeration. However, it is important to have a good understanding of the optimum dissolved oxygen...
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Conversion of waste biomass into activated carbon and evaluation of environmental consequences using life cycle assessment
PublikacjaIn this article, activated carbon was produced from Lantana camara and olive trees by H3PO4 chemical activation. The prepared activated carbons were analyzed by characterizations such as scanning electron microscopy, energy-dispersive X-ray spectroscopy, Brunauer–Emmett–Teller, X-ray diffraction, thermogravimetric analysis, and Fourier transform infrared spectroscopy. H3PO4 is used as an activator agent to create an abundant pore...
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Phosphorus removal by application of natural and semi-natural materials for possible recovery according to assumptions of circular economy and closed circuit of P
PublikacjaIn the last fewyears the idea of circular economy has become essential. Thus, designing methods of nutrients removal should be based on usingmaterials that make it possible to recover those nutrients. Recently,methods applied in wastewater treatment plants cannot provide optimal results; moreover, the application of commercial coagulants like ferric chloride and polyaluminumchloride can cause difficulties in potential recovery...
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Using differential pressure sensor to measure nitrous oxide level in a tank
PublikacjaA method for measuring the level of liquid nitrous oxide oxidizer in a hybrid rocket motor oxidizer tank is proposed. Presented approach is more accurate than the most commonly used method of this measurement, which employs weighting of the whole sounding rocket or an oxidizer tank. In our solution we use a differential pressure sensor to measure the change of pressure at the bottom of an oxidizer tank in comparison to the pressure...
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Layer-by-layer polymer deposited fabrics with superior flame retardancy and electrical conductivity
PublikacjaSmart and multifunctional textiles and fabrics are progressively developing, such that multifunctional fabrics are becoming more widespread. We elaborated herein multi-layered flax fabrics with superior flame retardancy and conductivity, which revealed fireproof feature while keeping conductivity during burning. The flax fabric was reinforced by layer-by-layer (LbL) deposition of sodium polyacrylate (SPA), polyethylenimine (PEI),...
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Prediction of protein assemblies, the next frontier: The CASP14‐CAPRI experiment
PublikacjaWe present the results for CAPRI Round 50, the 4th joint CASP-CAPRI protein assembly prediction challenge. The Round comprised a total of 12 targets, including 6 dimers, 3 trimers, and 3 higher-order oligomers. Four of these were easy targets, for which good structural templates were available either for the full assembly, or for the main interfaces (of the higher-order oligomers). Eight were difficult targets for which only distantly...
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ANALYSIS OF CLIMATIC ZONES IN POLAND WITH REGARD TO ASPHALT PERFORMANCE GRADING
PublikacjaTowards the end of the last century a new system of bitumen grading was developed and implemented as part of the American Strategic Highway Research Program (SHRP). Its aim was to better adjust the testing methods and requirements for road bitumens to the actual conditions in which those bitumens serve in road pavements. Currently in Poland, similarly as in the other EU countries, road bitumens are tested and classified with regard...
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Experimental and theoretical studies on the Sulfamethazine-Urea and Sulfamethizole-Urea solid-liquid equilibria
PublikacjaThe miscibility of active pharmaceutical ingredients with excipients is an important aspect in pharmaceutical technology protocols. In this study, the differential scanning calorimetry (DSC) was used for Sulfamethazine-Urea (SI–U) and Sulfamethizole-Urea (SO–U) solid-liquid phase diagrams determination. Both sulfonamides form simple binary eutectics with Urea. The lack of new co-crystal phase formation was confirmed by inspection...
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Seismic damage diagnosis in adjacent steel and RC MRFs considering pounding effects through improved wavelet-based damage-sensitive feature
PublikacjaThis paper aims to propose complex Morlet (cmorfb-fc) wavelet-based refined damage-sensitive feature (rDSF) as a new and more precise damage indicator to diagnose seismic damages in adjacent steel and Reinforced Concrete (RC) Moment Resisting Frames (MRFs) assuming pounding conditions using acceleration responses. The considered structures include 6- and 9-story steel and 4- and 8-story RC benchmark...
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The ILs-assisted solvothermal synthesis of TiO2 spheres: the effect of ionic liquids on morphology and photoactivity of TiO2
PublikacjaEffect of the ionic liquid (IL) structure (chain length in the imidazolium cation) on morphology and photoactivity of TiO2 particles has been systematically investigated. The TiO2 microspheres have been successfully synthesized via facile solvothermal method assisted by ionic liquids, such as 1-butyl-3-methylimidazolium chloride [BMIM][Cl] and 1-decyl-3-methylimidazolium chloride [DMIM][Cl] using tetra-tert-butyl orthotitanate...
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Sensitivity analysis of flexural and torsional buckling loads of laminated columns
PublikacjaThe paper concerns first order sensitivity analysis of flexural and torsional bucklin g loads of axiallycompressed thin-walled columns with bisymmetric or axisymmetric cross-section made of unidirectional fibre-reinforcedlaminate. The first variation of critical loads versus some variations of the column material properties and cross-sectionaldimensions is derived. Numerical examples dealing with simply supported I-columns are...
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Mercury in Different Feather Types from Great Cormorants (Phalacrocorax carbo L.) Inhabiting the Vistula Lagoon Ecosystem in Poland
PublikacjaTotal mercury levels in different feather types (down, contour, tail and flight) in Great Cormorants (Phalacrocorax carbo L.) were determined using CV-AAS. Feathers from Great Cormorants inhabiting the Vistula Lagoon ecosystem have an average Hg level of 7.14 ± 3.99 (μg/g w.w.). Age-dependent concentrations of Hg were statistically significant (ANOVA Kruskal-Wallis, p < 0.0001). There were also significant differences in Hg levels...
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Properties of surface layers of duplex stainless steel after burnishing processes
PublikacjaStress corrosion cracking resistance of cold worked layers of 25 Cr duplex stainless steel grade UR52N+ has been investigated. The surface layers were performed through burnishing treatment. The residual stresses at surface layers were determined using grazing angle incidence X-ray diffraction method (g-sin2 Ψ). Corrosion tests were performed with the use of Slow Strain Rate Test technique in boiling 35% MgCl2 solution. It has...
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High temperature drying of beech with content of tension wood
PublikacjaThe presented artcle is focused on comparison of tension and normal wood of beech (Fagus sylvatica L.) in a high-temperature drying process. Samples of 26 mm thickness were selected from sapwood zone with different angle of growth rings. The article evaluated properties of tension and normal wood before and after drying process. Properties which are monitored were moisture, moisture gradients, covering tests, colour changes and...
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Synthesis of novel dinuclear ruthenium polypyridine dye for dye-sensitized solar cells application
PublikacjaA new dinuclear ruthenium(II) polypyridine complex has been successfully synthesized. The new compound has been characterized by spectroscopic and electrochemical methods. Its potential application as a sensitizing dye in dye-sensitized solar cells has been checked under AM 1.5 G irradiation conditions (100 mW cm−2) and its performance was compared to that of a commercially available mononuclear analogous dye. The overall light-to-electricity...
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Effects of solution composition and electrophoretic deposition voltage on various properties of nanohydroxyapatite coatings on the Ti13Zr13Nb alloy
PublikacjaThe purpose of the research was to establish the influence of the solution composition and the electrophoretic deposition voltage on the coating homogeneity and thickness, nanohardness, adhesion, corrosion resistance and wettability. The Ti13Zr13Nb alloy was coated by the electrophoretic technique with hydroxyapatite in a solution containing 0.1, 0.2 or 0.5 g nanoHAp in 100 mL of suspension and at voltage 15, 30 or 50 V. The scanning...
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Hard carbon derived from rice husk as low cost negative electrodes in Na-ion batteries
PublikacjaHere, we report the synthesis of hard carbon materials (RH) made from natural rice husk through a single pyrolysis process and their application as an anode in sodium-ion batteries. The studies show that the electrochemical properties of RHs are affected by the treatment temperatures, which determine the materials morphology, in particular, their degree of graphitization and extent of continuous channels (nanovoids). The latter...
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Impact of temperature on optical sensing in biology based on investigation of SARS‐CoV ‐2
PublikacjaIn this paper, we present an investigation of the influence of the temperature on the sensing of biological samples. We used biofunctionalized microsphere-based fiber-optic sensor to detect immunoglobulin G attached to the sensor head at temperatures relevant in biological research: 5°C, 25°C, and 55°C. The construction of the sensor allowed us to perform measurements in the small amount of solution. The results of our experiment...
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Computations of the least number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds
PublikacjaLet $r$ be an odd natural number, $M$ a compact simply-connected smooth manifold, $\dim M\geq 4$, such that its boundary $\partial M$ is also simply-connected. We consider $f$, a $C^1$ self-maps of $M$, preserving $\partial M$. In [G. Graff and J. Jezierski, Geom. Dedicata 187 (2017), 241-258] the smooth Nielsen type periodic number $D_r(f;M,\partial M)$ was defined and proved to be equal to the minimal number of $r$-periodic points...
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40th EASD Annual Meeting of the European Association for the Study of Diabetes
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Ammonium removal from aqueous solution by natural zeolite, Transcarpathian mordenite, kinetics, equilibrium and column tests.
PublikacjaOpisano wyniki badań procesu usuwania jonów amonowych z wodnych roztworów modelowych z wykorzystaniem mordenitu-naturalnego zeolitu (w postaci surowej i po odpowiedniej wstępnej obróbce) zarówno w warunkach statycznych jak i dynamicznych. Oszacowano pojemność jonowymienną w stosunku do jonów amonowych (1,64 meq/g) w przypadku, gdy stężenie początkowe analitu było na poziomie 1000 mg/l. Sprawdzono również wpływ na przebieg procesu...
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Activated Carbon Produced by Pyrolysis of Waste Wood and Straw for PotentialWastewater Adsorption
PublikacjaPyrolysis of straw pellets and wood strips was performed in a fixed bed reactor. The chars, solid products of thermal degradation, were used as potential materials for activated carbon production. Chemical and physical activation processes were used to compare properties of the products. The chemical activation agent KOH was chosen and the physical activation was conducted with steam and carbon dioxide as oxidising gases. The eect...
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Miniaturised analytical procedure of determining polycyclic aromatic hydrocarbons and polychlorinated biphenyls in bottom sediments
PublikacjaOpisano metodę oznaczania bardzo niskich stężeń polichlorowanych bifenyli w obecności wysokich zawartości wielopierścieniowych węglowodorów aromatycznych. Analizie techniką GC-MS poddawany jest ekstrakt z 1 g próbki osadu. Jako standardy wewnętrzne zastosowano Naftalen-d8, benzo[a]antracen-d12 i PCB 209. Średni odzysk standardów przedstawiał się następująco: 65, 55 i 60% odpowiednio. Do izolacji frakcji PCB stosowano niekomercyjne...
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On extremal sizes of locally k-tree graphs
PublikacjaA graph G is a locally k-tree graph if for any vertex v the subgraph induced by the neighbours of v is a k-tree, k>=0, where 0-tree is an edgeless graph, 1-tree is a tree. We characterize the minimum-size locally k-trees with n vertices. The minimum-size connected locally k-trees are simply (k + 1)-trees. For k >= 1, we construct locally k-trees which are maximal with respect to the spanning subgraph relation. Consequently, the...