In this thesis, we start with the description of the biophysical properties of the plasma membrane models upon signaling processess such as the increased cytoso- lic concentration of calcium ions, or posttranslational modifications of membrane proteins. Calcium signaling is characterized by a rapid increase of its cytosolic concentration. We identify calcium binding sites and characterize the binding in the plasma membrane models of increasing complexity from pure phospholipid bilayers, through cholesterol and peptide rich lipid membranes, to membranes ex- tracted from HEK293 cells. We use Time-Dependent Fluorescent Shift method, which provides direct information on hydration and mobility in defined regions of a lipid bilayer, accompanied with molecular dynamic (MD) simulations, which give molecular details of the studied interactions. The initial step of signaling mediated by PAG protein is its double palmi- toylation. We investigate changes of the biophysical properties of both the lipid membrane and the peptide itself upon the incorporation of the palmitoyls. Em- ploying all atom MD simulations, we study inter- and intramolecular interactions as well as changes in membrane hydration, thickness, or lipid ordering. The second part of the thesis, realized in a direct collaboration with a phar- macological...

Proper eye development depends on expression and mutual regulation of many genes. Anterior segment dysgenesis (ASD) are a highly heterogeneous group of diseases exhibiting all types of Mendelian inheritance, which manifest as combination of congenital abnormalities of the cornea, iris, anterior chamber angle or lens. Screening of genes associated with ASD does not often lead to the identification of the underlying genetic cause implying that there are still novel variants or genes to be discovered. Molecular genetic analysis in 12 probands with ASD using Sanger and whole-exome sequencing were performed. Functional analysis by Exon trapping assay was provided in variants predicted to effect pre-mRNA splicing. Four PAX6 mutations evaluated as pathogenic or likely pathogenic in a heterozygous state were found in four probands c.183C˃G; p.(Tyr61*), c.1032+1G>A, c.1183+1G>T and c.622C>T; p.(Arg208Trp). One proband was found to be a compound heterozygote for c.244A>G; p.(Met82Val) and c.541delG; p.(Glu181Lysfs*26) mutations in FOXE3. In 7 probands, no potentially pathogenic variants were identified. Exon trapping assay confirmed that mutations c.1032+1G>A and c.1183+1G>T have an effect on pre-mRNA splicing of the PAX6 gene. Detailed molecular-genetic analysis in patients with ASD may contribute to...

Ein bedeutender Satz von L. Bungart und H. Grauert besagt, dass, für eine Gruppe G von invertierbaren Elementen einer Banachalgebra, je zwei G-wertige holomorphe Kozyklen über einer beliebigen Steinschen Mannigfaltigkeit holomorph äquivalent sind, wenn sie dort stetig äquivalent sind. Eine einfachere Form dieses Satzes wurde erstmals von K. Oka bewiesen. Aussagen dieser Art werden deshalb auch Okasche Prinzipe oder Oka-Grauert-Prinzipe genannt. Der Bungert-Grauert-Satz ist auch in dem Fall von Bedeutung, in dem die Steinsche Mannigfaltigkeit ein Gebiet in der komplexen Ebene ist. Man kann deshalb in der Literatur auch direkte Beweise für den Spezialfall finden, in dem ein G-wertiger holomorpher, stetig trivialer Kozyklus betrachtet wird. Dieser ist, nach dem oben erwähnten Satz, dann auch holomorph trivial. Ziel dieser Dissertation ist es, den Bungart-Grauert-Satz für Gebiete in der komplexen Ebene auch im allgemeinen Fall direkt zu beweisen. Dieser direkte Beweis ist wesentlich einfacher als der bisherige und muss nicht, wie bei L. Bungart und H. Grauert, auf eine Theorie von mehreren Veränderlichen zurückgreifen. Wie in den Arbeiten von L. Bungart und H. Grauert gezeigt, kann dies durch das sogenannte Verdrillen, einer Methode aus einer allgemeinen Theorie von holomorphen Kozyklen mit Werten in Bündeln von Gruppen, erzielt werden. Der größte Teil der Dissertation besteht deshalb darin, eine solche Theorie im Fall von Gebieten in der komplexen Ebene direkt aufzubauen. / An important theorem of L. Bungart and H. Grauert says that for the group G of invertible elements of a banachalgebra, two holomorphic, G-valued cocycles over a Stein manifold, which are continiously equivalent, are holomorphically equivalent there. A simpler form of that theorem was first proven by K. Oka. That''s why theorems like this are known as Oka-Grauert-priciples as well. The Bungart-Grauert theorem is also significant if the Stein manifold is a domain in the complex plane. That''s why direct proofs of the special case, in which a continiously trivial, holomorphic cocycle is considered, can also be found in literature. Following the Bungart-Grauert theorem mentioned above, such a cocycle is also holomorphically trivial. The goal of this thesis is to prove the general case of the Bungart-Grauert theorem for a domain in the complex plane directly. That direct proof is much more simple than the old one. Furthermore this direct proof doesn''t have to resort to a theory of multiple variables, unlike the proof from L. Bungart and H. Grauert does. As shown in the original works, such a proof can be archieved by using the so called twisting. Twisting is a method from a theory of holomorphic cocycles with values in bundles of groups. In the main part of this thesis such a theory is build directly for domains in the complex plane.

The doctoral thesis analyses driver’s conduct while solving situations associated with crossing of pedestrians across the road in cases of various design of pedestrian crossings and at different conditions. The thesis deepens the knowledge of the human factor impact on the occurrence of a traffic accident involved vehicle and pedestrian and thesis also complements knowledge for the needs of the analysis of traffic accidents, especially in solving the pre collision phase and at assessment of possibilities for collision prevention by involved participants. The thesis deals with driver’s conduct, various models of the conduct as well as the thesis focuses on the visual perception, the process of information processing, the driver’s conduct and the reaction time. In terms of the solution suitable types of experiments were designed and implemented. Based on performed measurements a method of processing and evaluating data on drivers’ conduct was found as well as more significant data set was obtained for a detailed analysis of drivers' conduct in different driving situations. The assessed quantities of drivers' conduct were analysed with respect to the dangerousness of driving situations. For these purposes, the categories of the dangerousness of driving situations were defined (situations completely safe, with increased danger, dangerous and critical), into which the analysed driving situations were subsequently included. To enable the quantification of this classification of situations into the categories of the dangerousness, the coefficient of the dangerousness (so called K) was defined. From the detailed analysis of the obtained data, the limit values of this coefficient were determined, and these were subsequently verified using data from the solution of real traffic accidents. Concurrently the analysis verified the suitability of using this hazard coefficient in the analysis of traffic accidents, especially for a detailed assessment of the possibilities of collision prevention.

This thesis concerns with the introduction to the problematics of images with high dynamic range (HDR) and possibilities of HDR images compression options for display on devices with a low dynamic range (LDR). In the introduction is described historical evolution of recording of reality. It is focusing towards point of view of physics, human visual perception and digital recording. There are described the ways of generating and holding of HDR images. The thesis is corncerned to the techniques of HDR compression, it means the tone-mapping. The different techniques of tone-mapping are explained and specific aproach is targeted to the gradient domain high dynamic range compresion.

This work presents a research in the field of robotic visual telepresence. At the beginning explains the principle of teleprezence and it makes classification of robots according to their properties and concepts. Furthermore, there is a review of modern existing robots. The following chapter discusses the human visual system, the basic parameters and functions including parameters of head movements. Subsequently have been selected critical parameters for visual telepresence. At the conclusion of the theoretical part were designed some experiments to validation of human body biological parameters. In the practical part was conducted measuring the extent and speed of head movements, eye distinction depending on the lighting and measurement of visual field man. Also, a series of experiments was performed for practical technical embodiment of the telepresence system rescue robot for class Orpheus.