
Mathematical modeling of early embryogenesis processes
Dunajová, Michaela ; Šejnoha, Jiří (advisor) ; Drutovič, David (referee)
1 Abstract: Early embryogenesis is a fundamental phenomenon of developmental biology, which involves the establishment of the first structures within embryos. The work focuses on mathematical spatial models of mammalian blastulation, which were created based on spatial approach. We discuss and compare six mo dels, which simulate the differentiation of cell lines and the formation of blas tocyst structures. Models are based on local rules, using considerable cellular abstraction. Models focus on the processes of differentiation of the blastomere into the trophoectoderm and the inner cell mass, followed by the establishment of the structure of the epiblast and the primitive endoderm.


Simulation of Stock Exchange
Šejnoha, Jiří ; Bálek, Martin (advisor) ; Karásek, Michal (referee)
The topic of this work is simulation of stock market. Studying the dependence of Prague stock exchange index PX depending on the macroeconomic parameters. It uses the connection methods, neural networks and random walks, where the random walk forward trained neural network functions as decisionmaking unit, normally used instead of linear approximation. Specially concerning the relationship of dependence PX on exchange rate U.S. dollar and Czech crown, gross domestic product of the Czech Republic and 2W repo rate. Simulation is performed using neural networks and linear approximation to the historical dates against them is then validated.


Visual tools for mental processes support
Šejnoha, Jiří ; Hedrlín, Zdeněk (advisor) ; Karásek, Michal (referee)
Title: Visual tools for mental processes support Author: Bc. Jiří Šejnoha Department: Department of Applied Mathematics Supervisor: doc. RNDr. Zdeněk Hedrlín, CSc. Abstract: The idea of work is the use of nonlinear model of mental processes as a means of representation considerations (the projection of the human mind), with thesis so registered thoughts, compared to a standard linear form of written text, to better understand particularly complex considerations, their contexts, integration and support their utříbení. Model mental processes is designed based on inspiration by buoy (Herbart's) and while model. The following discussion of its limits, and the legitimacy of comparing with similar models: Model Theater, MoM, Carnap's model of the mind and NOGA model. Implementation of the work includes a formalization of the design model. The draft also implementation and implementation, which is then used to verify the thesis contribution for users using a questionnaire. The results are discussed and on this basis is formed by the end. Keywords: mind, mental process, model, understanding, tool, while


Application of probabilistic methods in geomechanics
Suchomel, Radek ; Mašín, David (advisor) ; Šejnoha, Jiří (referee) ; Pruška, Jan (referee)
Three probabilistic methods of different complexity for slope stability calculations are in this work evaluated with respect to a welldocumented case study of slope failure in Lodalen, Norway. A finite element method considering spatial random fields of uncorrelated parameters cohesion and friction angle is taken as a reference for comparison with two simpler methods based on Taylor series expansion, known as firstordersecondmoment methods. It is shown that the FOSM method enhanced by a reduction of variance of input parameters due to spatial averaging along the potential failure surface leads to a significant improvement in predictions. This method is computationally inexpensive and can be used in combination with any existing finite element code, it is thus a useful approximate probabilistic method for geotechnical practice. Several limitations of the extended method for calculating probability of a slope failure are identified. An advanced hypoplastic constitutive model is used in probabilistic analyses of a typical geotech nical problem, strip footing. The model, including horizontal and vertical correlation lengths, was calibrated using a set of experimental data on sand from horizontally stratified deposit. Some parameters followed normal, whereas other followed lognormal distributions....


Commented translation
Šejnoha, Jiří ; Smutný, Milan (referee) ; Krhutová, Milena (advisor)
Tato práce popisuje proces překladu první kapitoly elektrotechnické učebnice z ČVUT. Tento překlad bude použit budoucími studenty ERASMU, kteří přijedou do Prahy studovat elektrotechniku. Tato práce se skládá ze seznamu vysvětlených překladových teorií, samotného přeloženého textu, demonstrací teorií na přeloženém textu a závěru s osobními zkušenostmi získanými tvořením této práce.


Camouflage pattern generator
Kremel, Tomáš ; Šejnoha, Jiří (advisor) ; Neruda, Roman (referee)
The thesis focuses on the visual camouflage generation problem characterised by cre ating a colored pattern that, when printed on an object, has concealment capabilities. A good concealment can save lives of military personnel and protect important facilities. We approach the problem by devising a genetic algorithm with problemspecific ge netic operators. The complexity of the algorihm lies in innovative utilization of the saliency predicting tool in the fitness operator. The construction of the operator con nects human vision, image processing, deep learning and evolutionary computation. Along the computaionally costly fitness operator we suggest fast and simple concep tually related trial operator we use for exploring characterics of the costly one. Then, we use this knowledge for generation of a camouflage pattern for forest environment. 1


Software Solution for Geometric Constructions
Magurová, Lucia ; Pangrác, Ondřej (advisor) ; Šejnoha, Jiří (referee)
The thesis presents the program which can visualize geometric constructions given by the construction steps. It is intended for students of primary and secondary schools. The program was written in the C# program language using the Windows Forms platform designed for creating graphics applications. It is inspired by GeoGebra software but it focuses more on the construction steps than the construction itself. The program's main part works with the basic geometric objects such as point, line and circle. In addition, it contains an option to create new geometric objects based on the previously created ones. It can find the intersections of the two basic objects and work with them. In the thesis there are a few examples of geometric constructions and also the illustrations of their solutions with the application. The thesis discusses how the program can be used as a learning tool in the educational process in schools and at home as well.


Application of probabilistic methods in geomechanics
Suchomel, Radek ; Mašín, David (advisor) ; Šejnoha, Jiří (referee) ; Pruška, Jan (referee)
Three probabilistic methods of different complexity for slope stability calculations are in this work evaluated with respect to a welldocumented case study of slope failure in Lodalen, Norway. A finite element method considering spatial random fields of uncorrelated parameters cohesion and friction angle is taken as a reference for comparison with two simpler methods based on Taylor series expansion, known as firstordersecondmoment methods. It is shown that the FOSM method enhanced by a reduction of variance of input parameters due to spatial averaging along the potential failure surface leads to a significant improvement in predictions. This method is computationally inexpensive and can be used in combination with any existing finite element code, it is thus a useful approximate probabilistic method for geotechnical practice. Several limitations of the extended method for calculating probability of a slope failure are identified. An advanced hypoplastic constitutive model is used in probabilistic analyses of a typical geotech nical problem, strip footing. The model, including horizontal and vertical correlation lengths, was calibrated using a set of experimental data on sand from horizontally stratified deposit. Some parameters followed normal, whereas other followed lognormal distributions....


Visual tools for mental processes support
Šejnoha, Jiří ; Hedrlín, Zdeněk (advisor) ; Karásek, Michal (referee)
Title: Visual tools for mental processes support Author: Bc. Jiří Šejnoha Department: Department of Applied Mathematics Supervisor: doc. RNDr. Zdeněk Hedrlín, CSc. Abstract: The idea of work is the use of nonlinear model of mental processes as a means of representation considerations (the projection of the human mind), with thesis so registered thoughts, compared to a standard linear form of written text, to better understand particularly complex considerations, their contexts, integration and support their utříbení. Model mental processes is designed based on inspiration by buoy (Herbart's) and while model. The following discussion of its limits, and the legitimacy of comparing with similar models: Model Theater, MoM, Carnap's model of the mind and NOGA model. Implementation of the work includes a formalization of the design model. The draft also implementation and implementation, which is then used to verify the thesis contribution for users using a questionnaire. The results are discussed and on this basis is formed by the end. Keywords: mind, mental process, model, understanding, tool, while


Simulation of Stock Exchange
Šejnoha, Jiří ; Karásek, Michal (referee) ; Bálek, Martin (advisor)
The topic of this work is simulation of stock market. Studying the dependence of Prague stock exchange index PX depending on the macroeconomic parameters. It uses the connection methods, neural networks and random walks, where the random walk forward trained neural network functions as decisionmaking unit, normally used instead of linear approximation. Specially concerning the relationship of dependence PX on exchange rate U.S. dollar and Czech crown, gross domestic product of the Czech Republic and 2W repo rate. Simulation is performed using neural networks and linear approximation to the historical dates against them is then validated.
