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Comparison of Multiple Models for Diabetes Using Model AveragingAl-Mashat, Alex January 2021 (has links)
Pharmacometrics is widely used in drug development. Models are developed to describe pharmacological measurements with data gathered from a clinical trial. The information can then be applied to, for instance, safely establish dose-response relationships of a substance. Glycated hemoglobin (HbA1c) is a common biomarker used by models within antihyperglycemic drug development, as it reflects the average plasma glucose level over the previous 8-12 weeks. There are five different nonlinear mixed-effects models that describes HbA1c-formation. They use different biomarkers such as mean plasma glucose (MPG), fasting plasma glucose (FPG), fasting plasma insulin (FPI) or a combination of those. The aim of this study was to compare their performances on a population and an individual level using model averaging (MA) and to explore if reduced trial durations and different treatment could affect the outcome. Multiple weighting methods were applied to the MA workflow, such as the Akaike information criterion (AIC), cross-validation (CV) and a bootstrap model averaging method. Results show that in general, models that use MPG to describe HbA1c-formation on a population level could potentially outperform models using other biomarkers, however, models have shown similar performance on individual level. Further studies on the relationship between biomarkers and model performances must be conducted, since it could potentially lay the ground for better individual HbA1c-predictions. It can then be applied in antihyperglycemic drug development and to possibly reduce sample sizes in a clinical trial. With this project, we have illustrated how to perform MA on the aforementioned models, using different biomarkers as well as the difference between model weights on a population and individual level.
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Výpočet dráhy trhliny podle lineární lomové mechaniky / Crack path calculation using linear elastic fracture mechanicsBónová, Kateřina January 2018 (has links)
This diploma thesis deals with the different possible calculations of crack path. Specifically, it focuses on criteria based on maximum tangential stress, minimal strain energy density, crack tip displacement, and local symmetry. These criteria are used for calculations in ANSYS software to estimate possible crack paths on four simple structures. The thesis also contains the codes created in ANSYS. Using these, the crack trajectory of a given structure can be calculated by any of the four criteria described.
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Reprezentace řešení autonomních lineárních diskrétních systémů a jejich aplikace v teorii řízení / Representations of Solutions to Autonomous Linear Discrete Systems and Their Applications in the Control TheoryMencáková, Kristýna January 2020 (has links)
Disertační práce se zabývá soustavou lineárních diskrétních rovnic se zpožděním a řeší Cauchyovu úlohu s danou počáteční podmínkou užitím zde definovaných maticových funkcí. Odvozený vzorec je pak použit při řešení úlohy relativní řiditelnosti této soustavy. Je dokázáno kritérium řiditelnosti soustavy, nalezena množina všech řídicí funkcí a minimální funkce vyhovující dané úloze.
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Soubor úloh pro kurs Sběr, analýza a zpracování dat / Set of excercises for data acquisition,analysis and processin courseKornfeil, Vojtěch January 2008 (has links)
This thesis proposes tasks of exercises for mentioned course and design and creation of automated evaluation system for these exercises. This thesis focuses on discussion and exemplary solutions of possible tasks of each exercise and description of created automated evaluation system. For evaluation program are made tests with chosen special data sets, which will prove it’s functionality in general data sets.
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Porovnání účinnosti návrhů experimentů pro statistickou analýzu úloh s náhodnými vstupy / Performance comparison of methods for design of experiments for analysis of tasks involving random variablesMartinásková, Magdalena January 2014 (has links)
The thesis presents methods and criteria for creation and optimization of design of computer experiments. Using the core of a program Freet the optimized designs were created by combination of these methods and criteria. Then, the suitability of the designs for statistical analysis of the tasks vith input random variables was assessed by comparison of the obtained results of six selected functions and the exact (analytically obtained) solutions. Basic theory, definitions of the evaluated functions, description of the setting of optimization and the discussion of the obtained results, including recommendations related to identified weaknesses of certain designs, are presented. The thesis also contains a description of an application that was created to display the results.
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Algoritmus automatického výběru vhodného typu zařízení z databáze výměníků tepla / Algorithm for automatic selection of suitable equipment type from heat exchanger databaseHavlů, Michal January 2009 (has links)
Thesis is devoted to development of an database algorithm for selection (or necking selection) of suitable type of heat exchanger for given industrial application. Database creates a part of multipurpose calculation system containing three individual modules: (i) module for selection (or necking selection) of type of heat exchanger for given application, (ii) module for thermal-hydraulic design or rating of heat exchanger, (iii) module for calculation of investments and operating cost. Thesis describes details of method for selection of suitable heat exchanger type for given application and presents and discuss individual criteria for selection process which influence values in tables of priorites for given equipment. These tables are unavoible part of selection algorithm. Details of software application of selection algorithm are also presented in the thesis. Description of behaviour of individual types of heat exchanger creates important part of thesis. Practical application of developed selection algorithm is demonstrated on several industrial examples.
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Namrzavost nestmelených směsí vozovek pozemních komunikací / The frost susceptibility of unbound mixtures to pavementsSurá, Kateřina January 2016 (has links)
The thesis is focused on the analysis of the theoretical part of the unbound mixtures, their implementation and compliance. Further deals with determining the extent frost susceptibility direct and indirect method in the Czech Republic and the Member States of the European Union. The practical part is focused on the performance of tests on selected samples of unbound mixtures for which was gradually increased the content of fine particles and that direct and indirect method of determining the rate of frost susceptibility and also the evaluation of direct methods of particular customized way, which does not impose the appropriate standard. At the conclusion of the work is carried out an evaluation of the samples and comparison of the different methods with each other.
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Observation et commande d'une classe de systèmes non linéaires temps discret / Observation and control of a class of nonlinear discrete-time systemsGasmi, Noussaiba 14 November 2018 (has links)
L’analyse et la synthèse des systèmes dynamiques ont connu un développement important au cours des dernières décennies comme l’atteste le nombre considérable des travaux publiés dans ce domaine, et continuent d’être un axe de recherche régulièrement exploré. Si la plupart des travaux concernent les systèmes linéaires et non linéaires temps continu, peu de résultats ont étaient établis dans le cas temps discret. Les travaux de cette thèse portent sur l’observation et la commande d’une classe de systèmes non linéaires à temps discret. Dans un premier temps, le problème de synthèse d’observateur d’état utilisant une fenêtre de mesures glissante est abordé. Des conditions de stabilité et de robustesse moins restrictives sont déduites. Deux classes de systèmes non linéaires à temps discret sont étudiées : les systèmes de type Lipschitz et les systèmes « one-sided Lipschitz ». Ensuite, une approche duale a été explorée afin de déduire une loi de commande stabilisante basée sur un observateur. Les conditions d’existence d’un observateur et d’un contrôleur stabilisant les systèmes étudiés sont formulées sous forme d’un problème d’optimisation LMI. L’efficacité et la validité des approches présentées sont montrées à travers des exemples académiques / The analysis and synthesis of dynamic systems has undergone significant development in recent decades, as illustrated by the considerable number of published works in this field, and continue to be a research theme regularly explored. While most of the existing work concerns linear and nonlinear continuous-time systems, few results have been established in the discrete-time case. This thesis deals with the observation and control of a class of nonlinear discrete-time systems. First, the problem of state observer synthesis using a sliding window of measurements is discussed. Non-restrictive stability and robustness conditions are deduced. Two classes of discrete time nonlinear systems are studied: Lipschitz systems and one-side Lipschitz systems. Then, a dual approach was explored to derive a stabilizing control law based on observer-based state feedback. The conditions for the existence of an observer and a controller stabilizing the studied classes of nonlinear systems are expressed in term of LMI. The effectiveness and validity of the proposed approaches are shown through numerical examples
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Schwingungen von OffsetdruckmaschinenGao, Xingliang 01 July 2001 (has links)
Die vorliegende Arbeit liefert eine ausführliche systematische Untersuchung der Gestellschwingungen von Rollen- und Bogen-Offsetdruckmaschinen. Sie dient dazu, die modalen Eigenschaften (Eigenfrequenzen, Eigenformen) zu identifizieren und die erzwungenen Schwingungen zu simulieren. An drei Rollen-Offsetdruckmaschinen wurden experimentelle und theoretische Modalanalysen durchgeführt. Es wurden die Einflüsse des Baugrundes, der Aufstellung und der Schraubenverbindung auf die modalen Eigenschaften analysiert. Weiterhin wurde die Standsicherheit bei seismischer Erregung überprüft. Für alle vier untersuchten Offsetdruckmaschinen wurden FE-Modelle unter Berücksichtigung ihrer Besonderheiten gebildet und mittels der Messergebnisse abgesichert. Bei Bogen-Offsetdruckmaschinen wurden erzwungene Schwingungen bei vier verschiedenen Erregungen und bei ungleichmäßiger Aufstellung simuliert. Aus den vorliegenden Resultaten können Schlussfolgerungen für die Weiterentwicklung von Druckmaschinen gezogen werden. / This work provides a detailed systematical research about the frame vibrations of web-offset-printing machines and sheetfed-offset-printing machines. It serves to identify the modal properties (natural frequencies and mode shapes) and to simulate the forced vibrations. The experimental and theoretical modal analysis have been realised at three web-offset-printing machines. The influences of the base, installation and screw connection on the modal properties have been analysed, furthermore the stand security under seismic excitation has been verified. The FE-models of all four investigated offset-printing machines have been built under consideration of their characteristics and have been updated with measurement results. Forced vibrations of sheetfed-offset-printing machines have been simulated on four different excitations and for uneven installation. The results of this work can be used for the further development of printing-machines.
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Transformation model selection by multiple hypotheses testingLehmann, Rüdiger January 2014 (has links)
Transformations between different geodetic reference frames are often performed such that first the transformation parameters are determined from control points. If in the first place we do not know which of the numerous transformation models is appropriate then we can set up a multiple hypotheses test. The paper extends the common method of testing transformation parameters for significance, to the case that also constraints for such parameters are tested. This provides more flexibility when setting up such a test. One can formulate a general model with a maximum number of transformation parameters and specialize it by adding constraints to those parameters, which need to be tested. The proper test statistic in a multiple test is shown to be either the extreme normalized or the extreme studentized Lagrange multiplier. They are shown to perform superior to the more intuitive test statistics derived from misclosures. It is shown how model selection by multiple hypotheses testing relates to the use of information criteria like AICc and Mallows’ Cp, which are based on an information theoretic approach. Nevertheless, whenever comparable, the results of an exemplary computation almost coincide.
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