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Search results for: DEM
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Dimension of the solution set for differential inclusions
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Implicit difference methods for Hamilton-Jacobi differential functional equations
PublicationKlasyczne rozwiązania problemów początkowych przybliżane są rozwiązaniami odpowiedniego układu quasiliniowego równań różniczkowo funkcyjnych. Rozpatrywana metoda numeryczna jest uwikłana względem zmiennej przestrzennej. Wykazana została zbieżność i stabilność uwikłanych schematów. Dowód stabilności opiera się na technice porównawczej z nieliniowym oszacowaniem typu Perrona dla funkcji danych.
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A lower bound on the double outer-independent domination number of a tree
PublicationA 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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Critical Case Stochastic Phylogenetic Tree Model via the Laplace Transform
PublicationBirth–and–death models are now a common mathematical tool to describe branching patterns observed in real–world phylogenetic trees. Liggett and Schinazi (2009) is one such example. The authors propose a simple birth–and–death model that is compatible with phylogenetic trees of both influenza and HIV, depending on the birth rate parameter. An interesting special case of this model is the critical case where the birth rate equals the...
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Remarks on the convergence of an iterative method of solution of generalized least squares problem
PublicationW pracy przedstawiona jest metoda iteracyjna znajdowania regularyzowanego (w sensie Tichonowa) rozwiązania układu równań Ax=b z dowolną macierzą A. Dla danej liczby alfa i wektora g daje ona ciąg przybliżeń zbieżny do rozwiązania (w sensie najmniejszych kwadratów) tego układu. Rozwiązanie to minimalizuje odległość zbioru wszystkich rozwiązań średniokwadratowych układu Ax=b od wektora g. Podane zostało również oszacowanie szybkości...
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SOME CONVERGENCE PROPERTIES OF THE SUM OF GAUSSIAN FUNCTIONALS
PublicationIn the paper, some aspects of the convergence of series of dependent Gaussian sequences problem are solved. The necessary and sufficient conditions for the convergence of series of centered dependent indicators are obtained. Some strong convergence results for weighted sums of Gaussian functionals are discussed.
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Phosphate tricyclic coumarin analogs as steroid sulfatase inhibitors: synthesis and biological activity.
PublicationIn the present work, we report convenient methods for the synthesis and biological evaluation of phosphate tricyclic coumarin derivatives as potential steroid sulfatase inhibitors. The described synthesis includes the straightforward preparation of 7-hydroxy-2,3-dihydro-1H-cyclopenta[c]chromen-4-one, 3-hydroxy-7,8,9,10-tetrahydro-6H-benzo[c]chromen-6-one and 3-hydroxy-8,9,10,11-tetrahydro-7H-cyclohepta[c]chromen-6-one modified...
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New potent steroid sulphatase inhibitors based on 6-(1-phenyl-1H-1,2,3-triazol-4-yl)naphthalen-2-yl sulphamate derivatives
PublicationIn the present work, we report a new class of potent steroid sulphatase (STS) inhibitors based on 6-(1-phenyl-1H-1,2,3-triazol-4-yl)naphthalen-2-yl sulphamate derivatives. Within the set of new STS inhibitors, 6-(1-(1,2,3-trifluorophenyl)-1H-1,2,3-triazol-4-yl)naphthalen-2-yl sulphamate 3L demonstrated the highest activity in the enzymatic assay inhibiting the STS activity to 7.98% at 0.5 µM concentration. Furthermore, to verify...
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New potent STS inhibitors based on fluorinated 4-(1-phenyl-1H-[1,2,3]triazol-4-yl)-phenyl sulfamates
PublicationA series of fluorinated analogs based on the frameworks of 4-(1- phenyl-1H-[1,2,3]triazol-4-yl)-phenyl sulfamates have been synthesized as steroid sulfatase (STS) inhibitors. The design of chemical structures of new potential STS inhibitors was supported by molecular docking techniques to identify potential interactions between inhibitors and amino acid residues located in the STS active site. The STS inhibitory potency was evaluated...
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Synthesis and biological evaluation of fluorinated 3-phenylcoumarin-7-O-sulfamate derivatives as steroid sulfatase inhibitors
PublicationIn the present work, we report the initial results of our study on a series of 3-phenylcoumarin sulfamate-based compounds containing C-F bonds as a novel inhibitors of steroid sulfatase (STS). The new compounds are potent STS inhibitors, possessing more than 10 times higher inhibitory potency than coumarin-7-O-sulfamate. In the course of our investigation, compounds 2b and 2c demonstrated the highest inhibitory effect in the enzymatic...
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Synthesis and biological evaluation of fluorinated N-benzoyl and N-phenylacetoyl derivatives of 3-(4-aminophenyl)-coumarin-7-O-sulfamate as steroid sulfatase inhibitors
PublicationIn the present work, we report convenient methods for the synthesis of 3-(4-aminophenyl)-coumarin-7-O-sulfamate derivatives N-acylated with fluorinated analogues of benzoic or phenylacetic acid as steroid sulfatase (STS) inhibitors. The design of these potential STS inhibitors was supported by molecular modeling techniques. Additionally, computational docking methods were used to determine the binding modes of the synthesized inhibitors...
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Hydration of Simple Model Peptides in Aqueous Osmolyte Solutions
PublicationThe biology and chemistry of proteins and peptides are inextricably linked with water as the solvent. The reason for the high stability of some proteins or uncontrolled aggregation of others may be hidden in the properties of their hydration water. In this study, we investigated the effect of stabilizing osmolyte–TMAO (trimethylamine N-oxide) and destabilizing osmolyte–urea on hydration shells of two short peptides, NAGMA (N-acetyl-glycine-methylamide)...
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Dissociative Electron Attachment to 5-Iodo-4-thio-2′-deoxyuridine: A Potential Radiosensitizer of Hypoxic Cells
PublicationIn the search for effective radiosensitizers for tumor cells, halogenated uracils have attracted more attention due to their large cross section for dissociation upon the attachment of low-energy electrons. In this study, we investigated dissociative electron attachment (DEA) to 5-iodo-4-thio-2'-deoxyuridine, a potential radiosensitizer using a crossed electron-molecule beam experiment coupled with quadrupole mass spectrometry....
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Three-Dimensional Gastrointestinal Organoid Culture in Combination with Nerves or Fibroblasts: A Method to Characterize the Gastrointestinal Stem Cell Niche
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Neutrophilic Cathepsin C Is Maturated by a Multistep Proteolytic Process and Secreted by Activated Cells during Inflammatory Lung Diseases
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Synthesis and steroid sulfatase inhibitory activities of N-alkanoyl tyramine phosphates and thiophosphates
PublicationA series of phosphate and thiophosphate analogs based on the frameworks of N-alkanoyl tyramines have been synthesized and biologically evaluated. Their binding modes have been modeled using docking techniques. The inhibitory effects of the synthesized compounds were tested on STS isolated from the human placenta as well as the MCF-7, MDA-MB-231 and SkBr3 cancer cell lines. Most of the new STS inhibitors possessed potent activity...
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Geometry optimization of steroid sulfatase inhibitors - the influence on the free binding energy with STS
PublicationIn the paper we review the application of two techniques (molecular mechanics and quantum mechanics) to study the influence of geometry optimization of the steroid sulfatase inhibitors on the values of descriptors coded their chemical structure and their free binding energy with the STS protein. We selected 22 STS-inhibitors and compared their structures optimized with MM+, PM7 and DFT B3LYP/6–31++G* approaches considering separately...
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Surprising Radiolytic Stability of 8‑Thiomethyladenine in an Aqueous Solution
Publication8-Thiomethyladenine (ASCH3), a potentially radiosensitizing modified nucleobase, has been synthesized in a reaction between 8-thioadenine and methyl iodide. Despite favorable dissociative electron attachment (DEA) characteristics, the radiolysis of an aqueous solution of ASCH3 with a dose of X-ray amounting to as much as 300 Gy leads to no effects. Nevertheless, crossed electron-molecule beam experiments in the gas phase on ASCH3...
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Electron-Induced Decomposition of Uracil-5-yl O-(N,N-dimethylsulfamate): Role of Methylation in Molecular Stability
PublicationThe incorporation of modified uracil derivatives into DNA leads to the formation of radical species that induce DNA damage. Molecules of this class have been suggested as radiosensitizers and are still under investigation. In this study, we present the results of dissociative electron attachment to uracil-5-yl O-(N,N-dimethylsulfamate) in the gas phase. We observed the formation of 10 fragment anions in the studied range of electron...
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SYSTEMY NAWIGACJI SATELITARNEJ - 2023
e-Learning CoursesPodstawy nawigacji satelitarnej dla kierunku informatyka.
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SYSTEMY NAWIGACJI SATELIT.GPS I GALILEO - 2021
e-Learning CoursesPodstawy nawigacji satelitarnej dla kierunku informatyka.
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SYSTEMY NAWIGACJI SATELIT.GPS I GALILEO - 2023
e-Learning CoursesPodstawy nawigacji satelitarnej dla kierunku informatyka.
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SYSTEMY NAWIGACJI SATELITARNEJ - 2022
e-Learning CoursesPodstawy nawigacji satelitarnej dla kierunku informatyka.
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SYSTEMY NAWIGACJI SATELIT.GPS I GALILEO - 2022
e-Learning CoursesPodstawy nawigacji satelitarnej dla kierunku informatyka.
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PODSTAWY KARTOGRAFII CYFROWEJ - 2021
e-Learning CoursesKurs podstaw kartografii cyfrowej z elementami wprowadzenia teoretycznego oraz prezentacją algorytmów, technik i baz danych wykorzystywanych w kartografii cyfrowej
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PODSTAWY KARTOGRAFII CYFROWEJ - 2022
e-Learning CoursesKurs podstaw kartografii cyfrowej z elementami wprowadzenia teoretycznego oraz prezentacją algorytmów, technik i baz danych wykorzystywanych w kartografii cyfrowej
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PODSTAWY KARTOGRAFII CYFROWEJ - 2023
e-Learning CoursesKurs podstaw kartografii cyfrowej z elementami wprowadzenia teoretycznego oraz prezentacją algorytmów, technik i baz danych wykorzystywanych w kartografii cyfrowej
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SYSTEMY NAWIGACJI SATELIT.GPS I GALILEO - 2024
e-Learning CoursesPodstawy nawigacji satelitarnej dla kierunku informatyka.
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Systemy nawigacji satelitarnej 2024
e-Learning CoursesPodstawy nawigacji satelitarnej dla kierunku informatyka.
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PODSTAWY KARTOGRAFII CYFROWEJ - 2024
e-Learning CoursesKurs podstaw kartografii cyfrowej z elementami wprowadzenia teoretycznego oraz prezentacją algorytmów, technik i baz danych wykorzystywanych w kartografii cyfrowej
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Novel steroid sulfatase inhibitors based on N ‐thiophosphorylated 3‐(4‐aminophenyl)‐coumarin‐7‐O‐sulfamates
PublicationIn the present work, we described convenient methods for the synthesis ofN-thiophosphorylated 3-(4-aminophenyl)-coumarin-7-O-sulfamates as steroid sulfatase(STS) inhibitors. To design the structures of the potential STS inhibitors, molecularmodeling techniques were used. A computational docking method was used to deter-mine the binding modes of the synthesized inhibitors as well as to identify potentialinteractions between specified...
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New clicked full agonists of the estrogen receptor β
PublicationA click chemistry approach was used to synthesize a series of 1,4-diaryl-substituted 1,2,3-triazoles designed to behave as estrogen receptor (ER) ligands. We studied their affinities for both receptors α and β, their agonist activities in a cell-based luciferase reporter assay and their effect on the proliferation of the hormone-dependent MCF-7 cell line. We found two compounds (3a and 3c) that behave as selective full agonists...
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Development of potent and effective SARS-CoV-2 main protease inhibitors based on maleimide analogs for the potential treatment of COVID-19
PublicationIn the present work, we report a new series of potent SARS-CoV-2 Main Protease (Mpro) inhibitors based on maleimide derivatives. The inhibitory activities were tested in an enzymatic assay using recombinant Mpro (3CL Protease from coronavirus SARS-CoV-2). Within the set of new Mpro inhibitors, 6e demonstrated the highest activity in the enzymatic assay with an IC50 value of 8.52 ± 0.44 mM. The IC50 value for Nirmatrelvir (PF-07321332,...
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Nutrient loss from three small-size watersheds in the southern Baltic Sea in relation to agricultural practices and policy
PublicationAgriculture is the major contributor of waterborne nutrient fluxes into the Baltic Sea, one of the world’s most eutrophication-sensitive areas. Poland, as a large, densely populated state ohf the Baltic Region, with dominating agricultural land use, largely contributes to riverborne loads of N and P. The aim of our study was to examine the input of nutrients from three small first-order agricultural watersheds (Bladzikowski Stream,...
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Sieci samouczące się
e-Learning CoursesCelem przedmiotu jest przekazanie studentowi wiedzy w zakresie teoretycznych i praktycznych aspektówdefiniowania i projektowania sztucznych sieci neuronowych zdolnych do samodzielnego uczenia sięrozwiązywania złożonych problemów decyzyjnych, w tym do aproksymacji funkcji użyteczności stanów lubakcji w uczeniu ze wzmocnieniem.
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Inteligentne usługi informacyjne 2023
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Inteligentne usługi informacyjne
e-Learning CoursesPrzedmiot prowadzony w semestrze letnim na MSU dotyczy zagadnień sztucznej inteligencji i uczenia maszynowego.
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Systemy uczące się - zima 2023/24
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Sieci samouczące się - zima 2023/24
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Systemy uczące się - zima 2023/24
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Systemy uczące się - zima 2023_24
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Systemy uczące się - zima 2023/24
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Systemy uczące się - zima 2023/24
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Systemy uczące się - zima 2023
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Systemy uczące się - zima 2023/24
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Inteligentne usługi informacyjne - lato 2023/24
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Zarządzanie firmą transportową, (O:10210), W, TiL, sem. 06, letni 22/23
e-Learning CoursesZrozumienie zasad zarządzania firmą transportową.
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Analiza rynków transportowych, (O:10150), W, TiL, sem. 06, letni 22/23
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Logistyka łańcuchów dostaw, (PG_00057111), W, TiL, sem. 01, letni 22/23
e-Learning CoursesPoznanie procesów logistycznych w zarządzaniu łańcuchem dostaw w strukturze współczesnej firmy.
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Podstawy ekonomii, W, przedmiot humanistyczno-społeczny (wybieralny), sem. 01, zimowy 22/23
e-Learning CoursesZakłada się, że student po ukończeniu przedmiotu Podstawy ekonomii będzie rozumiał i prawidłowo posługiwał się podstawowymi kategoriami z dziedziny ekonomii.