¨ FUR ¨ MATHEMATIK FAKULTAT Dekan Univ.–Prof. Dr. Harald Rindler Einladung zur o¨ffentlichen Defensio von Dipl.-Ing. Christoph Winkler Thema der Dissertation: A Close Look at Actin Driven Movement: From Image Analysis to Simulation Abstract: The actin cytoskeleton capacitates many eukaryotic cells to perform individual locomotion in such diverse as well as important processes as, for instance, the organization of the embryo, the immune interaction and the proliferation of tumors. It is built up by a meshwork of long, thin rods of concatenated actin monomers whose formation and interplay with one another and other cell compartments is regulated by specific proteins. The mostly crawling locomotion of individual cells is often performed with a sheet-like lamellipodium, a flat but wide structure wrapped by the cell membrane and filled with a dense actin filament network that pushes the whole cell. However, the actin cytoskeleton can also be abused by infections for the transportation inside of cells. Although most proteins involved in these locomotion processes have been identified, their exact organization and interaction remain unknown. The actual structure of the lamellipodium’s actin filament meshwork is investigated with an algorithm to identify individual filaments in three dimensional electron tomo-graphy pictures. The filaments are tracked with a localized Radon transform and the obtained information does not only allow for averaged data such as angular distributions or actin density but moreover delivers insights into the filaments’ length and bending. Microscopic stochastic simulations consisting of a set of growing and proliferating filaments are used to understand the intracellular movement of a specific virus and the temporal evolution of lamellipodia. In the case of the virus, characteristic movement patterns are reproduced and indications for the nature of the filament-virus-interplay are found. For lamellipodia a surface finite element method is used to describe the deformable membrane and a band of densely packed membrane proteins that interact with the actin filaments. The simulation exhibits the typical organization of lamellipodia and in particular is able to preserve their flatness without geometric restrictions. Pr¨ ufungssenat: Univ. Prof. Dr. Josef Hofbauer(Vorsitz) (Universit¨at Wien) Univ.-Prof. Dr. Christian Schmeiser (Universit¨at Wien) Prof. Dr. Angela Stevens (Universit¨at M¨ unster) Univ.Prof. Ulisse Stefanelli (Universit¨at Wien) Zeit: Mittwoch, 29. April 2015, 15:00 Uhr Ort: Fakult¨at f¨ ur Mathematik, Besprechungsraum 09. Stock, Oskar-Morgenstern-Platz 1
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