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Asymptotic and hyperasymptotic expansions of solutions of linear differential equations near irregular singular points of higher rankHöppner, Reinhard Höppner, Reinhard Höppner, Reinhard January 2001 (has links) (PDF)
Essen, Univ., Diss., 2001. / Computerdatei im Fernzugriff.
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Asymptotic and hyperasymptotic expansions of solutions of linear differential equations near irregular singular points of higher rankHöppner, Reinhard Höppner, Reinhard Höppner, Reinhard January 2001 (has links) (PDF)
Essen, Univ., Diss., 2001. / Computerdatei im Fernzugriff.
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Asymptotic and hyperasymptotic expansions of solutions of linear differential equations near irregular singular points of higher rankHoeppner, Reinhard. January 2001 (has links) (PDF)
Essen, University, Diss., 2001.
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Algebraische Algorithmen zur Lösung von linearen Differentialgleichungen /Fakler, Winfried. January 1999 (has links)
Zugl.: Karlsruhe, Universiẗat, Diss., 1998.
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Systems biology analysis of iron metabolismLopes, Tiago Jose da Silva 28 November 2011 (has links)
Jede Zelle des Säugetierorganismus benötigt Eisen als Spurenelement für zahlreiche oxidativ-reduktive Elektronentransfer-Reaktionen und für Transport und Speicherung von Sauerstoff. Der Organismus unterhält daher ein komplexes Regulationsnetzwerk für die Aufnahme, Verteilung und Ausscheidung von Eisen. Die intrazelluläre Regulation in den verschiedenen Zelltypen des Körpers ist mit einer globalen hormonellen Signalstruktur verzahnt. Sowohl Eisenmangel wie Eisenüberschuss sind häufige und ernste menschliche Krankheitsbilder. Sie betreffen jede Zelle, aber auch den Organismus als Ganzes. In dieser Dissertation wird ein mathematisches Modell des Eisenstoffwechsels der erwachsenen Maus vorgestellt. In ihm wird die Flussbilanz des Eisens in den wichtigsten Zelltypen in Form von transmembranalen und intrazellulären kinetischen Gleichungen dargestellt, und es werden diese Zellmodelle mit dem zentralen Eisenaustausch-Kompartiment (Blutplasma) des Körpers integriert. Der Eisenstatus wird charakterisiert als Gehalt an labil gebundenen Eisen und an ferritin-gebundenen Eisen für jede Zelle. Der Stoffwechsel wird als Netzwerk von Flussdynamik formuliert. Der experimentelle Input in dieses Modells stammt von verschiedenen Quellen. Radioaktive Tracerdaten, gemessen am intakten Tier (Mausstamm C57BL6 – das am intensivsten studierte Tiermodell) unter varrierten physiologischen Bedingungen lieferten den experimentellen Hintergrund, von dem aus Clearance-Parameter durch numerisches Fitting ermittelt wurden. Es wird gezeigt, dass das Modell mit entsprechend adaptierten Parametersätzen die wichtigsten metabolischen und regulatorischen Ereignisse in Übereinstimmung mit den Messungen darstellen kann. In Zukunft soll die quantitative Übereinstimmung mit Daten aus weiteren genetischen Rekonstruktionen (globale und zell-spezifische knock-outs und konstitutive Expression relevanter Gene des Modellorganismus Maus) hergestellt werden. / Every cell of the mammalian organism needs iron as trace element in numerous oxido-reductive processes as well as for transport and storage of oxygen. The mammalian organism maintains therefore a complex regulatory network of iron uptake, excretion and intra-body distribution. Here a mathematical model of iron metabolism of the adult mouse is presented. It formulates the iron flux balance of the most important cell types of the organism in the form of transmembraneous and intracellular kinetic equations and integrates these cell models with the central exchange compartment (blood plasma) of the body. The iron status is represented as content of labile iron and of ferritin-bound iron in every cell type, and the metabolism is formulated as a network of flux dynamics. The experimental input into the model stems from different sources. Radioactive tracer data measured in the intact animal (mouse strain C57BL6 - the most intensively studied animal model) under various physiological conditions provided the experimental background from which clearance parameters could be obtained by numerical parameter fitting. Future research should render more precise the quantitative representation of genetic reconstructions (global and cell-type-addressed knock-out and constitutive expression of relevant genes of the model mouse strain).
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Using ClassPad-technology in the education of students of electrical engineering (Fourier- and Laplace-Transformation)Paditz, Ludwig 09 May 2012 (has links) (PDF)
By the help of several examples the interactive work with the ClassPad330 is considered. The student can solve difficult exercises of practical applications step by step using the symbolic calculation and the graphic possibilities of the calculator. Sometimes several fields
of mathematics are combined to solve a problem. Let us consider the ClassPad330 (with the actual operating system OS 03.03) and discuss on some new exercises in analysis, e.g. solving a linear differential equation by the help of the Laplace transformation and using the inverse Laplace transformation or considering the Fourier transformation in discrete time (the Fast Fourier Transformation FFT and the inverse FFT). We use the FFT- and IFFT-function to study periodic signals, if we only have a sequence generated by sampling the time signal. We know several ways to get a solution. The techniques for studying practical applications fall into the following three categories: analytic, graphic and numeric. We can use the
Classpad software in the handheld or in the PC (ClassPad emulator version of the handheld).
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Using ClassPad-technology in the education of students of electricalengineering (Fourier- and Laplace-Transformation)Paditz, Ludwig 09 May 2012 (has links)
By the help of several examples the interactive work with the ClassPad330 is considered. The student can solve difficult exercises of practical applications step by step using the symbolic calculation and the graphic possibilities of the calculator. Sometimes several fields
of mathematics are combined to solve a problem. Let us consider the ClassPad330 (with the actual operating system OS 03.03) and discuss on some new exercises in analysis, e.g. solving a linear differential equation by the help of the Laplace transformation and using the inverse Laplace transformation or considering the Fourier transformation in discrete time (the Fast Fourier Transformation FFT and the inverse FFT). We use the FFT- and IFFT-function to study periodic signals, if we only have a sequence generated by sampling the time signal. We know several ways to get a solution. The techniques for studying practical applications fall into the following three categories: analytic, graphic and numeric. We can use the
Classpad software in the handheld or in the PC (ClassPad emulator version of the handheld).
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