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    Wyświetlanie 1-7 z 7
    Tytuł:
    Zastosowanie różniczkowania numerycznego z jednoczesnym wygładzaniem w obliczeniach strumienia permeatu podczas mikrofiltracji
    Application of the special numerical differentiation method with simultaneous smoothing for calculation of permeate flux in membrane separation processes
    Autorzy:
    Wołkowiak, J.
    Zander, L.
    Dajnowiec, F.
    Powiązania:
    https://bibliotekanauki.pl/articles/2070081.pdf
    Data publikacji:
    2009
    Wydawca:
    Stowarzyszenie Inżynierów i Techników Mechaników Polskich
    Tematy:
    mikrofiltracja
    różniczkowanie numeryczne
    microfiltration
    numerical differentiation
    Opis:
    Przedstawiono sposób obliczania strumienia permeatu w badaniach kinetyki inikrofiltriicji z zastosowaniem metody Wiechowskiego do różniczkowania numerycznego z jednoczesnym wygładzaniem. Otrzymane wyniki porównano z rezultatami uzyskanymi z wykorzystaniem wzorów interpolacyjnych Lagrange'a oraz metody Savitzky'ego-Golay 'a.
    Calculations of permeate flux during investigations of microfiltration kinetics by applying Wieckowski's method of numerical differentiation with simultaneous, smoothing is presented in the paper. The results obtained were compared with those calculated using the Lagrange interpolation formula and Savitzky-Golay method.
    Źródło:
    Inżynieria i Aparatura Chemiczna; 2009, 1; 74-75
    0368-0827
    Pojawia się w:
    Inżynieria i Aparatura Chemiczna
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Determination of optimal cyclic uniaxial stretches for stem cell-to-tenocyte differentiation under a wide range of mechanical stretch conditions by evaluating gene expression and protein synthesis levels
    Autorzy:
    Morita, Y.
    Watanabe, S.
    Ju, Y.
    Xu, B.
    Powiązania:
    https://bibliotekanauki.pl/articles/951825.pdf
    Data publikacji:
    2013
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    hBMSC
    differentiation
    mechanical stretch
    tenocyte
    różniczkowanie
    wydłużanie
    Opis:
    We examined optimal cyclic uniaxial stretches for stem cell-to-tenocyte differentiation by applying a wide range of cyclic mechanical stimuli. Human bone marrow mesenchymal stem cells (hBMSCs) were subjected to three types of cyclic elongation of 5%, 10%, or 15% at a cyclic frequency of 1 Hz for 24 h or 48 h, and differentiation into tenocytes was assessed by two methods: real-time polymerase chain reaction determination of gene expression levels and western blotting analysis of protein expression levels. The gene expression levels of the differentiation markers type I collagen (Col I), type III collagen (Col III), tenascin-C (Tnc), and scleraxis (Scx), all of which are constituents of tendon tissue, were increased when cells were exposed to 10% stretching stimulation. The levels of Col I and Tnc protein synthesis levels were also higher in the cells with 10% stretching stimulation than in those subjected to other stimuli. The results indicated that 10% stretching stimulus was efficient to induce the differentiation of hBMSCs into tenocytes. In addition, the changes in gene and protein expression levels were strongly correlated with cell orientation angle. The results presented here suggest that mesenchymal stem cell-to-tenocyte differentiation is strongly associated with cumulative elongation load on the cells. This work provides novel insights into the differentiation of tenogenesis in a strain-induced environment and supports the therapeutic potential of hBMSCs.
    Źródło:
    Acta of Bioengineering and Biomechanics; 2013, 15, 3; 71-79
    1509-409X
    2450-6303
    Pojawia się w:
    Acta of Bioengineering and Biomechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A Numerical Algorithm for Filtering and State Observation
    Autorzy:
    Ibrir, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/908263.pdf
    Data publikacji:
    1999
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    krzywa składana
    różniczkowanie numeryczne
    obserwator
    spline functions
    numerical differentiation
    observers
    smooth filters
    Opis:
    This paper deals with a numerical method for data fitting and estimation of continuous higher-order derivatives of a given signal from its non-exactsampled data. The proposed algorithm is a generalization of the algorithm proposed by Reinsch (1967). This algorithm is conceived as a key element in the structure of the numerical observer discussed in our recent papers. Satisfactory results are obtained which prove the efficiency of the proposed approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 855-869
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A numerical procedure for filtering and efficient high-order signal differentiation
    Autorzy:
    Ibrir, S.
    Diop, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/907392.pdf
    Data publikacji:
    2004
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    walidacja krzyżowa
    różniczkowanie sygnału
    wygładzanie
    generalized cross validation
    smoothing
    differentiation
    splines functions
    optimization
    Opis:
    In this paper, we propose a numerical algorithm for filtering and robust signal differentiation. The numerical procedure is based on the solution of a simplified linear optimization problem. A compromise between smoothing and fidelity with respect to the measurable data is achieved by the computation of an optimal regularization parameter that minimizes the Generalized Cross Validation criterion (GCV). Simulation results are given to highlight the effectiveness of the proposed procedure.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2004, 14, 2; 201-208
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal control of semilinear evolution inclusions via discrete approximations
    Autorzy:
    Mordukhovich, B. S.
    Wang, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/1839178.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    sterowanie optymalne
    analiza wariacyjna
    różniczkowanie uogólnione
    aproksymacja dyskretna
    warunek konieczny optymalności
    optimal control
    variational analysis
    generalized differentiation
    semilinear evolution inclusions
    discrete approximations
    necessary optimality conditions
    Opis:
    This paper studies a Mayer type optimal control problem with general endpoint constraints for semilinear unbounded evolution inclusions in reflexive and separable Banach spaces. First, we construct a sequence of discrete approximations to the original optimal control problem for evolution inclusions and prove that optimal solutions to discrete approximation problems uniformly converge to a given optimal solution for the original continuous-time problem. Then, based on advanced tools of generalized differentiation, we derive necessary optimality conditions for discrete-time problems under fairly general assumptions. Combining these results with recent achievements of variational analysis in infinite-dimensional spaces, we establish new necessary optimality conditions for constrained continuous-time evolution inclusions by passing to the limit from discrete approximations.
    Źródło:
    Control and Cybernetics; 2005, 34, 3; 849-870
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal control of constrained delay-differential inclusions with multivalued initial conditions
    Autorzy:
    Mordukhovich, B. S.
    Wang, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/970519.pdf
    Data publikacji:
    2003
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    aproksymacja dyskretna
    warunek konieczny optymalności
    analiza wariacyjna
    stabilność
    optymalizacja niegładka
    różniczkowanie uogólnione
    delay-differential inclusions
    discrete approximations
    necessary optimality conditions
    variational analysis
    stability
    nonsmooth optimization
    generalized differentiation
    Opis:
    This paper studies a general optimal control problem for nonconvex delay-differential inclusions with endpoint constraints. In contrast to previous publications on this topic, we incorporate time-dependent set constraints on the initial interval, which are specific for systems with delays and provide an additional source for optimization. Our variational analysis is based on well-posed discrete approximations of constrained delay-differential inclusions by a family of time-delayed systems with discrete dynamics and perturbed constraints. Using convergence results for discrete approximations and advanced tools of nonsmooth variational analysis, we derive necessary optimality conditions for constrained delay-differential inclusions in both Euler-Lagrange and Hamiltonian forms involving nonconvex generalized differential constructions for nonsmooth functions, sets, and set-valued mappings.
    Źródło:
    Control and Cybernetics; 2003, 32, 3; 585-609
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Object library of algorithms for dynamic optimization problems; Benchmarking SQP and nonlinear interior point methods
    Autorzy:
    Błaszczyk, J.
    Karbowski, A.
    Malinowski, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/929795.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    optymalizacja dynamiczna
    programowanie kwadratowe sekwencyjne
    różniczkowanie automatyczne
    obliczenia numeryczne
    analiza danych
    dynamic optimization
    large-scale optimization
    sequential quadratic programming
    nonlinear interior-point methods
    object-oriented numerical computations
    automatic differentiation
    performance data analysis
    Opis:
    The main purpose of this paper is to describe the design, implementation and possibilities of our object-oriented library of algorithms for dynamic optimization problems. We briefly present library classes for the formulation and manipulation of dynamic optimization problems, and give a general survey of solver classes for unconstrained and constrained optimization. We also demonstrate methods of derivative evaluation that we used, in particular automatic differentiation. Further, we briefly formulate and characterize the class of problems solved by our optimization classes. The solution of dynamic optimization problems with general constraints is performed by transformation into structured large-scale nonlinear programming problems and applying methods for nonlinear optimization. Two main algorithms of solvers for constrained dynamic optimization are presented in detail: the sequential quadratic programming (SQP) exploring the multistage structure of the dynamic optimization problem during the solution of a sequence of quadratic subproblems, and the nonlinear interior-point method implemented in a general-purpose large-scale optimizer IPOPT. At the end, we include a typical numerical example of the application of the constrained solvers to a large-scale discrete-time optimal control problem and we use the performance profiles methodology to compare the efficiency and robustness of different solvers or different options of the same solver. In conclusions, we summarize our experience gathered during the library development.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 4; 515-537
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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