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Dissertation
On the analysis of path-dependent functionals of stochastic PDEs
(2023)
Weak approximation methods for stochastic partial differential equations (SPDEs) are concerned with approximating the probability distribution of the solution process rather than the realizations of the solution process itself. In this thesis, we provide new results and methods concerning the weak error analysis of numerical approximations of path-dependent functionals of solution processes of SPDEs. Two separate approaches to analyzing weak approximation errors are considered: the Itô calculus approach and the ...
Dissertation
Biochemical Characterization of Microtubule-Associated Serine/Threonine Kinases
(2023)
The association of human microtubule-associated serine/threonine (MAST) kinases with different diseases, such as neurodevelopmental disorders and cancer, leads to hight interest in understanding the function of these understudied kinases. This PhD thesis provides the first consolidated biochemical analysis of three different human MAST kinases (MAST1-3) and the Drosophila melanogaster homologue drop out protein (DOP).
Dissertation
Functional Analysis of Src42A in embryonic epithelial morphogenesis of Drosophila melanogaster
(2023)
Src42A is one of the Src family kinases (SFKs) present in Drosophila melanogaster. In mammals there are 8 SFKs and so far, a loss of function analysis of SFKs were difficult to conduct due to their functional redundancy. In Drosophila, there are only two SFKs namely Src42A and Src64B, the former is essential for embryonic development and the latter is a non-essential gene. Since Src42A is supplied as a maternal component, the zygotic mutant were showing defects in later developmental stages, because the contribution ...