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Computing resonance widths using square integrable basis
Votavová, Petra ; Kolorenč, Přemysl (advisor) ; Houfek, Karel (referee)
Four different non-orthogonal basis sets are studied and compared in order to obtain the resonance properties of a model scattering problem. In particular, two types of Gaussian basis sets, one B-spline basis set and one hybrid Gaussian - B-spline basis set. Their ability to represent the scattering continuum is investigated along with their numerical properties. Particular attention is paid to the energy range within which each basis set gives reasonably accurate values of the phase shift and the decay width. The radial Schrödinger equation is solved by the Löwdin's symmetric orthogonalization method and the decay width is extracted by the Stieltjes imaging procedure. The R-matrix method within the framework of Feshbach-Fano projection operator formalism with polynomial basis set is utilized as a numerically exact reference method.
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Analysis of the Stieltjes imaging method for the calculation of resonance widths
Votavová, Petra ; Kolorenč, Přemysl (advisor) ; Čížek, Martin (referee)
Title: Analysis of the Stieltjes imaging method for the calculation of resonance widths Author: Petra Votavová Department: Institute of Theoretical Physics Supervisor: RNDr. Přemysl Kolorenč, Ph.D., Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University in Prague Abstract: This thesis deals with the moment problem in the context of the resonance widths. The moment problem was solved by the Stieltjes imaging method and proposed alternative method based on the direct decomposition into the orthogonal basis. Three different basis derived from the Legendre polynomials were chosen. The properties of these methods were studied by analytical function. Eventually, both methods were applied to the calculation of resonance width of the metastable ion CH3F(2s-2 )2+ . Keywords: moment problem, Gaussian quadrature, orthogonal polynomials, resonance widths, decay of metastable ions
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Potentiation of the biological activity of IL-2 and IL-15 in vivo
Votavová, Petra ; Kovář, Marek (advisor) ; Reiniš, Milan (referee)
5 Abstract Interleukin-2 possesses strong stimulatory activity for activated T and NK cells and thus it is an attractive molecule for immunotherapy. However, its unfavourable pharmacological properties, extremely short half-life and severe toxicities associated with high-dose IL-2 are the most serious and limiting drawbacks. Moreover, IL-2 has been also implicated in the homeostasis of T regulatory cells where it plays a decisive role as an essential growth factor of these cells. Several different approaches to improve the therapeutic potential of IL-2 have been studied. Recently described IL-2/anti-IL-2 mAb immunocomplexes which show much higher and selective biological activity in contrast with free IL-2 in vivo are probably the most promising of them. In this study, we compared the biological activity of free IL-2 with IL-2/anti-IL-2 mAb immunocomplexes in order to demonstrate their benefits over free IL-2. We also demonstrated that IL-2/anti-IL-2 mAb immunocomplexes possess noticeable antitumor activity in two syngeneic mouse tumor models, namely EL4 T lymphoma and B16F10 melanoma, if administered early in tumor progression. Therefore, we justified potential use of IL-2/anti-IL-2 mAb immunocomplexes in tumor immunotherapy. We covalently conjugated IL-2 to synthetic semitelechelic polymeric carrier based...
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