The massless two-loop two-point function and zeta functions in counterterms of Feynman diagrams

The main part of this thesis describes a method of calculating the massless two-loop two-point function which allows expanding the integral up to an arbitrary order in the dimensional regularization parameter epsilon by rewriting it as a double Mellin-Barnes integral. Closing the contour and collecting the residues then transforms this integral into a form that enables us to utilize S. Weinzierl's computer library nestedsums. We could show that multiple zeta values and rational numbers are sufficient for expanding the massless two-loop two-point function to all orders in epsilon. We then use the Hopf algebra of Feynman diagrams and its antipode, to investigate the appearance of Riemann's zeta function in counterterms of Feynman diagrams in massless Yukawa theory and massless QED. The class of Feynman diagrams we consider consists of graphs built from primitive one-loop diagrams and the non-planar vertex correction, where the vertex corrections only depend on one external momentum. We showed the absence of powers of pi in the counterterms of the non-planar vertex correction and diagrams built by shuffling it with the one-loop vertex correction. We also found the invariance of some coefficients of zeta functions under a change of momentum flow through these vertex corrections.

Analysing the possible influence of transposon TCl4.7 insertion on the function of the genome of Cydia pomonella granulovirus

CpGV-MCp5 is a natural mutant of the Cydia pomonella Granulovirus (Mexican isolate) (CpGV-M) that harbors an insect host transposon termed TCl4.7 in its genome. TCl4.7 is located between the open reading frames Cp15 and Cp16 and separates two homologous regions hr3 and hr4, which have been recently shown to be origins of replication of CpGV-M. The MCp5 has a significant replication disadvantage in the presence of the wild-type CpGV-M. In this study, the possible effects of TCl4.7 transposon insertion on the genome function of its insertion site has been analysed. The role of Cp15 and Cp16 in the context of the virus infection cycle was examined by generating a CpGV-Bacmid (CpBAC) and Cp15 knock-out (CpBACCp15KO) and Cp16 knock-out (CpBACCp16KO) mutants. The mutant CpBACCp15KO was not able to replicate in CM larvae suggesting that Cp15 was essential for virus replication. In contrast, the mutant CpBACCp16KO infected CM larvae and produced viable occlusion bodies (OBs) demonstrating that Cp16 is a non-essential gene for virus in vivo infection of C. pomonella. The temporal transcription of Cp15 and Cp16, as well as of Cp31 (F protein) as a control, was analysed using RT-PCR and quantitative real-time PCR. It suggested a general delay or reduction of gene transcription of MCp5 compared to the parental CpGV-M. Western blot analyses using anti-Cp15 and anti-Cp16 polyclonal antibodies, however, did not show any immuno-reactive response. Thus, a direct influence of TCl4.7 on the expression of Cp15 and Cp16 could not be substantiated. To investigate whether the interruption of hr3 and hr4 palindromes affects the virus replication, two mutant bacmids with a deletion of hr3 and hr4 (CpBAChr3/hr4-KO) and another with an insertion of a Kanamycin resistance cassette between hr3 and hr4 (CpBAChr3-kan-hr4) were generated. Both mutant bacmids replicated and produced infectious virus OBs, which did not significantly differ in their median lethal concentration (LC50) and median survival time (ST50) compared to the parental CpBAC. Interestingly, the mutant CpBAChr3-kan-hr4 was very effectively out-competed by parental CpBAC, when CM larvae were co-infected with known ratios of OBs of CpBAC and the mutant CpBAChr3-kan-hr4. These observations suggested a functional co-operation between hr3 and hr4 which was interrupted by the KanR insertion in CpBAChr3-kan-hr4 and possibly by TCl4.7 transposon insertion in the mutant MCp5. This hypothesis may explain the observed replication disadvantage of the mutants MCp5 and CpBAChr3-kan-hr4 in the presence of the parental viruses CpGV-M and CpBAC, respectively.

Regulatory T cell-mediated suppression of Th9 cell development and effector function

T helper (Th) 9 cells are an important subpopulation of the CD4+ T helper cells. Due to their ability to secrete Interleukin-(IL-)9, Th9 cells essentially contribute to the expulsion of parasitic helminths from the intestinal tract but they play also an immunopathological role in the course of asthma. Recently, a beneficial function of Th9 cells in anti-tumor immune responses was published. In a murine melanoma tumor model Th9 cells were shown to enhance the anti-melanoma immune response via the recruitment of CD8+ T cells, dendritic cells and mast cells. In contrast to Th9 effector cells regulatory T cells (Tregs) are able to control an immune response with the aid of different suppressive mechanisms. Based on their ability to suppress an immune response Tregs are believed to be beneficial in asthma by diminishing excessive allergic reactions. However, concerning cancer they can have a detrimental function because Tregs inhibit an effective anti-tumor immune reaction. Thus, the analysis of Th9 suppression by Tregs is of central importance concerning the development of therapeutic strategies for the treatment of cancer and allergic diseases and was therefore the main objective of this PhD thesis.rnIn general it could be demonstrated that the development of Th9 cells can be inhibited by Tregs in vitro. The production of the lineage-specific cytokine IL-9 by developing Th9 cells was completely suppressed at a Treg/Th9 ratio of 1:1 on the transcriptional (qRT-PCR) as well as on the translational level (ELISA). In contrast, the expression of IRF4 that was found to strongly promote Th9 development was not reduced in the presence of Tregs, suggesting that IRF4 requires additional transcription factors to induce the differentiation of Th9 cells. In order to identify such factors, which regulate Th9 development and therefore represent potential targets for Treg-mediated suppressive mechanisms, a transcriptome analysis using “next-generation sequencing” was performed. The expression of some genes which were found to be up- or downregulated in Th9 cells in the presence of Tregs was validated with qRT-PCR. Time limitations prevented a detailed functional analysis of these candidate genes. Nevertheless, the analysis of the suppressive mechanisms revealed that Tregs probably suppress Th9 cells via the increase of the intracellular cAMP concentration. In contrast, IL-9 production by differentiated Th9 cells was only marginally affected by Tregs in vitro and in vivo analysis (asthma, melanoma model). Hence, Tregs represent very effective inhibitors of Th9 development whereas they have only a minimal suppressive influence on differentiated Th9 cells.rn