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- D-1250-2010 (1)
The Riemann zeta-function forms a central object in multiplicative number theory; its value-distribution encodes deep arithmetic properties of the prime numbers. Here, a crucial role is assigned to the analytic behavior of the zeta-function on the so called critical line. In this thesis we study the value-distribution of the Riemann zeta-function near and on the critical line. Amongst others we focus on the following.
PART I: A modified concept of universality, a-points near the critical line and a denseness conjecture attributed to Ramachandra.
The critical line is a natural boundary of the Voronin-type universality property of the Riemann zeta-function. We modify Voronin's concept by adding a scaling factor to the vertical shifts that appear in Voronin's universality theorem and investigate whether this modified concept is appropriate to keep up a certain universality property of the Riemann zeta-function near and on the critical line. It turns out that it is mainly the functional equation of the Riemann zeta-function that restricts the set of functions which can be approximated by this modified concept around the critical line.
Levinson showed that almost all a-points of the Riemann zeta-function lie in a certain funnel-shaped region around the critical line. We complement Levinson's result: Relying on arguments of the theory of normal families and the notion of filling discs, we detect a-points in this region which are very close to the critical line.
According to a folklore conjecture (often attributed to Ramachandra) one expects that the values of the Riemann zeta-function on the critical line lie dense in the complex numbers. We show that there are certain curves which approach the critical line asymptotically and have the property that the values of the zeta-function on these curves are dense in the complex numbers.
Many of our results in part I are independent of the Euler product representation of the Riemann zeta-function and apply for meromorphic functions that satisfy a Riemann-type functional equation in general.
PART II: Discrete and continuous moments.
The Lindelöf hypothesis deals with the growth behavior of the Riemann zeta-function on the critical line. Due to classical works by Hardy and Littlewood, the Lindelöf hypothesis can be reformulated in terms of power moments to the right of the critical line. Tanaka showed recently that the expected asymptotic formulas for these power moments are true in a certain measure-theoretical sense; roughly speaking he omits a set of Banach density zero from the path of integration of these moments. We provide a discrete and integrated version of Tanaka's result and extend it to a large class of Dirichlet series connected to the Riemann zeta-function.
Over the past 30 years, much effort and financial support have been invested in the fight against cancer, yet cancer still represents the leading cause of death in the world. Conventional therapies for treatment of cancer are predominantly directed against tumor cells. Recently however, new treatments options have paid more attention to exploiting the advantage of targeting the tumor stroma instead.
Vaccinia virus (VACV) has played an important role in human medicine since the 18th century as a vaccination against smallpox. In our laboratory, the recombinant, replication-competent vaccinia virus, GLV-1h68, was shown to enter, colonize and destroy cancer cells both in cell culture, and in vivo, in xenograft models (Zhang, Yu et al. 2007). In addition, combined therapy of GLV-1h68 and anti-VEGF immunotherapy significantly enhanced antitumor therapy in vivo (Frentzen, Yu et al. 2009).
In this study, we constructed several new recombinant VACVs carrying genes encoding different antibodies against fibroblast activation protein (FAP) in stroma (GLV-1h282), nanobody against the extracellular domain of epidermal growth factor receptor (EGFR, GLV-1h442) or antibodies targeting both vascular endothelial growth factor (VEGF) and EGFR (GLV-1h444) or targeting both VEGF and FAP (GLV-1h446).
The expression of the recombinant proteins was first verified using protein analytical methods, SDS-gel electrophoresis, Western blot analysis, immunoprecipitation (IP) assays and ELISA assays. The proteins were detected after infection of the cells with the different VACVs and the recombinant proteins purified by affinity adsorption. The purified antibodies were shown to specifically bind to their respective antigens.
Secondly, the infection and replication capability of all the virus strains was analyzed in cell culture using several human tumor cell lines (A549, FaDu or DU145), revealing that all the new recombinant VACVs were able to infect cancer cells with comparable efficiency to the parental viruses from which they were derived.
Thirdly, the antitumor efficacy of the new recombinant VACVs was evaluated in vivo using several human cancer xenograft models in mice. In A549 and DU145 xenografts, the new recombinant VACVs exhibited an enhanced therapeutic efficacy compared to GLV-1h68 with no change in toxicity in mice. In the FaDu xenograft, treatment with GLV-1h282 (anti-FAP) significantly slowed down the speed of tumor growth compared to GLV-1h68. Additionally, treatment with the recombinant VACVs expressed the various antibodies achieved comparable or superior therapeutic effects compared to treatment with a combination of GLV-1h68 and the commercial therapeutic antibodies, Avastin, Erbitux or both.
Next, the virus distribution in tumors and organs of treated mice was evaluated. For most of the viruses, the virus titer in tumors was not signficantly diffferent than GLV-1h68. However, for animals treated with GLV-1h282, the virus titer in tumors was significantly higher than with GLV-1h68. This may be the reason for enhanced antitumor efficacy of GLV-1h282 in vivo.
Lastly, the underlying mechanisms of therapeutic antibody-enhanced antitumor effects were investigated by immunohistochemistry. Blood vessels density and cell proliferation in tumors were suppressed after treatment with the antibody-encoded VACVs. The results indicated that the suppression of angiogenesis or cell proliferation in tumors may cause the observed therapeutic effect.
In conclusion, the results of the studies presented here support the hypothesis that the treatment of solid tumors with a combination of oncolytic virotherapy and immunotherapy has an additive effect over each treatment alone. Moreover, expression of the immunotherapeutic antibody by the oncolytic VACV locally in the tumor enhances the antitumor effect over systemic treatment with the same antibody. Combined, these results indicate that therapy with oncolytic VACVs expressing-therapeutic antibodies may be a promising approach for the treatment of cancer.
Oncolytic virotherapy represents a promising approach to revolutionize cancer therapy. Several preclinical and clinical trials display the safety of oncolytic viruses as wells as their efficiency against solid tumors. The development of complementary diagnosis and monitoring concepts as well as the optimization of anti-tumor activity are key points of current virotherapy research. Within the framework of this thesis, the diagnostic and therapeutic prospects of beta-glucuronidase expressed by the oncolytic vaccinia virus strain GLV-1h68 were evaluated. In this regard, a beta-glucuronidase-based, therapy-accompanying biomarker test was established which is currently under clinical validation. By using fluorescent substrates, the activity of virally expressed beta-glucuronidase could be detected and quantified. Thereby conclusions about the replication kinetics of oncolytic viruses in animal models and virus-induced cancer cell lysis could be drawn. These findings finally led to the elaboration and establishment of a versatile biomarker assay which allows statements regarding the replication of oncolytic viruses in mice based on serum samples. Besides the analysis of retrospective conditions, this test is able to serve as therapy-accompanying monitoring tool for virotherapy approaches with beta-glucuronidase-expressing viruses. The newly developed assay also served as complement to routinely used plaque assays as well as reference for virally expressed anti-angiogenic antibodies in additional preclinical studies. Further validation of this biomarker test is currently taking place in the context of clinical trials with GL-ONC1 (clinical grade GLV-1h68) and has already shown promising preliminary results. It was furthermore demonstrated that fluorogenic substrates in combination with beta-glucuronidase expressed by oncolytic viruses facilitated the optical detection of solid tumors in preclinical models. In addition to diagnostic purposes, virus-encoded enzymes could also be combined with prodrugs resulting in an improved therapeutic outcome of oncolytic virotherapy. In further studies, the visualization of virus-induced immune reactions as well as the establishment of innovative concepts to improve the therapeutic outcome of oncolytic virotherapy could be accomplished. In conclusion, the results of this thesis provide crucial findings about the influence of virally expressed beta-glucuronidase on various diagnostic concepts in the context of oncolytic virotherapy. In addition, innovative monitoring and therapeutic strategies could be established. Our preclinical findings have important clinical influence, particularly by the development of a therapy-associated biomarker assay which is currently used in different clinical trials.
The Xiphophorus melanoma system is a useful animal model for the study of the genetic basis of tumor formation. The development of hereditary melanomas in interspecific hybrids of Xiphophorus is connected to pigment cell specific overexpression of the mutationally activated receptor tyrosine kinase Xmrk. In purebred fish the oncogenic function of xmrk is suppressed by the molecularly still unidentified locus R. The xmrk oncogene was generated by a gene duplication event from the Xiphophorus egfrb gene and thereby has acquired a new 5’ regulatory sequence, which has probably altered the transcriptional control of the oncogene. So far, the xmrk promoter region was still poorly characterized and the molecular mechanism by which R controls xmrk-induced melanoma formation in Xiphophorus still remained to be elucidated. To test the hypothesis that R controls melanoma development in Xiphophorus on the transcriptional level, the first aim of the thesis was to gain a deeper insight into the transcriptional regulation of the xmrk oncogene. To this end, a quantitative analysis of xmrk transcript levels in different Xiphophorus genotypes carrying either the highly tumorigenic xmrkB or the non-tumorigenic xmrkA allele was performed. I was able to demonstrate that expression of the tumorigenic xmrkB allele is strongly increased in malignant melanomas of R-free backcross hybrids compared to benign lesions, macromelanophore spots, and healthy skin. The expression level of the non-tumorigenic xmrkA allele, in contrast, is not influenced by the presence or absence of R. These findings strongly indicate that differential transcriptional regulation of the xmrk promoter triggers the tumorigenic potential of these xmrk alleles. To functionally characterize the xmrk promoter region, I established a luciferase assay using BAC clones containing the genomic regions where xmrk and egfrb are located for generation of reporter constructs. This approach showed for the first time a melanoma cell specific transcriptional activation of xmrkB by its flanking regions, thereby providing the first functional evidence that the xmrk oncogene is controlled by a pigment cell specific promoter region. Subsequent analysis of different deletion constructs of the xmrkB BAC reporter construct strongly indicated that the regulatory elements responsible for the tumor-inducing overexpression of xmrkB in melanoma cells are located within 67 kb upstream of the xmrk oncogene. Taken together, these data indicate that melanoma formation in Xiphophorus is regulated by a tight transcriptional control of the xmrk oncogene and that the R locus acts through this mechanism. As the identification of the R-encoded gene(s) is necessary to fully understand how melanoma formation in Xiphophorus is regulated, I furthermore searched for alternative R candidate genes in this study. To this end, three genes, which are located in the genomic region where R has been mapped, were evaluated for their potential to be a crucial constituent of the regulator locus R. Among these genes, I identified pdcd4a, the ortholog of the human tumor suppressor gene PDCD4, as promising new candidate, because this gene showed the expression pattern expected from the crucial tumor suppressor gene encoded at the R locus.
The transcription factor NFATc1 has been shown to regulate the activation and differentiation of T-cells and B-cells, of DCs and megakaryocytes. Dysregulation of NFAT signaling was shown to be associated with the generation of autoimmune diseases, malignant transformation and the development of cancer [71]. The primary goal of this work was to gain insights on Nfatc1 induction and regulation in lymphocytes and to find new direct NFATc1 target genes. Three new BAC -transgenic reporter mouse strains (tgNfatc1/Egfp, tgNfatc1/DE1 and tgNfatc1/DE2) were applied to analyze Nfatc1 induction and regulation in primary murine B- and T-cells. As a result, we were able to show the persistent requirement of immunoreceptor-signaling for constant Nfatc1 induction, particularly, for NFATc1/αA expression. Furthermore, we showed that NF-κB inducing agents, such as LPS, CpG or CD40 receptor engagement, in combination with primary receptor-signals, positively contributed to Nfact1 induction in B-cells [137]. We sought to establish a new system which could help to identify direct NFATc1 target genes by means of ChIP and NGS in genom-wide approaches. We were able to successfully generate a new BAC-transgene encoding a biotinylatable short isoform of NFATc1, which is currently injected into mice oocyte at the TFM in Mainz. In addition, in vivo biotinylatable NFATc1–isoforms were cloned and stably expressed in the murine B-cell lymphoma line WEHI-231. The successful use of these cells stably overexpressing either the short NFATc1/αA or the long NFATc1/βC isoform along with the bacterial BirA biotin ligase was confirmed by intracellular stainings, FACS analysis, confocal microscopy and protein IP. By NGS, we detected 2185 genes which are specifically controlled by NFATc1/αA, and 1306 genes which are exclusively controlled by NFATc1/βC. This shows that the Nfatc1 locus encodes “two genes” which exhibit alternate, in part opposite functions. Studies on the induction of apoptosis and cell-death revealed opposed roles for the highly inducible short isoform NFATc1/αA and the constantly expressed long isoform NFATc1/βC. These findings were confirmed by whole transcriptome-sequencing performed with cells overexpressing NFATc1/αA and NFATc1/βC. Several thousand genes were found to be significantly altered in their expression profile, preferentially genes involved in apoptosis and PCD for NFATc1/βC or genes involved in transcriptional regulation and cell-cycle processes for NFATc1/αA. In addition we were able to perform ChIP-seq for NFATc1/αA and NFATc1/βC in an ab-independent approach. We found potential new target-sites, but further studies will have to address this ambitious goal in the future. In individual ChIP assays, we showed direct binding of NFATc1/αA and NFATc1/βC to the Prdm1 and Aicda promoter regions which are individually controlled by the NFATc1 isoforms.
Light-induced excitation of matter proceeds within femtoseconds, resulting in excited states. Originating from these states chemical reaction mechanisms, like isomerization or bond formation, set in. Photophysical mechanisms like energy distribution and excitonic delocalization also occur. Thus, the reaction scheme has to be disentangled by assessing the importance of each process. Spectroscopic methods based on fs laser pulses have emerged as a versatile tool to study these reactions. Within this thesis time-resolved experiments with fs laser pulses on various molecular systems were performed. Novel photosystems, with possible applications ranging from ultrathin molecular wires to molecular switches, were extensively characterized. To resolve the complex kinetics of the investigated systems, time-resolved techniques had to be newly developed. By combining a visible excitation pulse pair with an additional pulse and a continuum probe electronic triggered-exchange two-dimensional spectroscopy (TE2D) was demonstrated for the first time. This goal was accomplished by combining a three-color transient-absorption setup with a pulse shaper. Hence, 2D spectroscopy with a continuum probe was also implemented. Using these methods two different molecular systems in solution were characterized in a comprehensive manner. (ZnTPP)2, a directly beta,beta’-linked Zn-metallated bisporphyrin, and a spiropyran-merocyanine photosystem, 6,8-dinitro BIPS, were characterized. (ZnTPP)2 is a homodimer, featuring strong excitonic effects. These manifest themselves in a twofold splitting of the Soret band (S2). 6,8-Dinitro BIPS exists in one of two possible conformations. The ring closed spiropyran absorbs only in the UV, while the ring open merocyanine also absorbs in the visible. For both molecular systems photodynamics upon illumination were monitored using transient-absorption. However, the obtained results were ambiguous, necessitating more complex methods. In the case of (ZnTPP)2 first the monomeric building block was characterized. There, population transfer from the S2 state into S1 within 2 ps was identified. Afterwards, intersystem crossing proceeds within 2 ns. For (ZnTPP)2 similar pathways were found, albeit the relaxation is faster. The intersystem crossing with 1.5 ns was not only indirectly deduced but directly measured by probing in the NIR spectral range. The excitonic influence of was investigated by coherent 2D spectroscopy in the Soret band. Population transfer within S2 was directly visualized on a time-scale of 100 fs. Calculation of the 2D spectra of a simple homodimer confirmed the results. After this analysis of the distinct excitonic character, this molecule may serve as a building block for larger porphyrin arrays with applications ranging from asymmetric catalysis over biomimicry of electron-transfer to organic optical devices. The second photosystem was the molecular switch 6,8-dinitro BIPS, existing in two conformations. Merocyanine is the more stable form in thermal equilibrium. Transient-absorption measurements uncovered that the sample consisted of a mixture of two merocyanine isomers, referred to as TTC and TTT. However, both isomers are capable of ring-closure forming spiropyran. The remaining excited molecules return to the ground state radiatively. Conducting 2D measurements utilizing a continuum probe the differing photochemistry of both isomers was examined in a single measurement. No isomerization between these conformations was detected. Therefore, 6,8-dinitro BIPS performs a concerted switching without long-living intermediates. This was confirmed by a pump-repump-probe scan. 6,8-DinitroBIPS can be closed by visible and opened by UV pulses using subsequent pulses and vice versa. These mechanisms via singlet pathways satisfy an important criterion for a unimolecular switching device. A second pump-repump-probe experiment showed that the sample is ionized, resulting in a merocyanine radical cation, when the first excited state is resonantly excited. Furthermore, by implementing TE2Dspectroscopy, it was elucidated that only TTC was ionized. Taking all this into account new techniques were developed and complex molecular systems were characterized within this thesis. Deeper insight into the photodynamics of (ZnTPP)2and 6,8-dinitro BIPS was gained by adapting transient absorption for the NIR spectral range, constructing a 2D setup in pump-probe geometry, and combining it with multipulse excitation to coherent TE2D. All techniques solved the questions for which they were constructed, but they are not limited to these cases. Especially TE2D opens new roads in photochemistry. By connecting reactant, product and the corresponding intermediates, a chemical reaction can be tracked through all stages, making unambiguous identification of the reactive states feasible. Thus, fundamental insight into the photochemistry of molecular compounds is gained.
The parables of Jesus have undergone different transmutations in the long history of their transmission. The events surrounding his death and resurrection as well as the new situations his followers were confronted with after these events, led to the parables being given new accentuation according to the needs of the reflecting community. This is evident in Matthew's treatment of the parable trilogy of Mt 21:28-22:14. The work tries to show how Matthew has used the dominical parables and sayings found in his tradition to serve the needs of his community, especially in her struggles with the official Jewish leaders of his time. Through these parables, which he presented as a three-pronged attack against the Jewish leaders, he shows his community as the true Israel, called to produce the fruits of righteousness.
During development of the nervous system, spontaneous Ca2+ transients are observed that regulate the axon growth of motoneurons. This form of spontaneous neuronal activity is reduced in motoneurons from a mouse model of spinal muscular atrophy and this defect correlates with reduced axon elongation. Experiments from our group demonstrated that voltage-gated sodium channel pore blockers decrease spontaneous neuronal activity and
axon growth in cultured motoneurons, too. In these experiments, saxitoxin was more potent than tetrodotoxin. We identified the saxitoxin-sensitive/tetrodotoxin-insensitive voltage-gated sodium channel NaV1.9 as trigger for the opening of voltage-gated calcium channels. In motoneurons, expression of NaV1.9 was verified via quantitative RT-PCR. Immuno labelling
experiments revealed enrichment of the channel in axonal growth cones and at the nodes of Ranvier of isolated nerve fibres from wild type mice. Motoneurons from NaV1.9 knock-out mice show decreased spontaneous activity and reduced axonal elongation. This growth defect can be rescued by NaV1.9 overexpression. In motoneurons from Smn-deficient mice, NaV1.9 distribution appeared to be normal.
Recently, patients carrying a missense mutation in the NaV1.9-encoding gene SCN11A were identified. These patients are not able to feel pain and suffer from muscular weakness and a delayed motor development. Molecular biological work during this dissertation supported the analysis of this mutation in a mouse model carrying the orthologous alteration in the Scn11a
locus. The cooperation study confirmed that a gain-of-function mechanism underlies the NaV1.9-mediated channelopathy, thus suggesting a functional role of NaV1.9 in human motoneurons.
An earlier study showed in hippocampal neurons that the receptor tyrosine kinase tropomyosin receptor kinase B (TrkB) can open the NaV1.9 channel. TrkB is localized in
growth cones of motoneurons and subsequently found in close proximity to NaV1.9. In order to proof whether TrkB is involved in spontaneous excitability in motoneurons, TrkB knock-out mice were analysed. Isolated motoneurons from TrkB knock-out mice show a reduced spontaneous activity and axon elongation. It remains to be studied whether TrkB and NaV1.9 are functionally connected.
The role of meiotic nuclear envelope components in chromosome dynamics and meiotic progression
(2013)
Meiosis is the specialised cell division which produces haploid germ cells, capable of developing into fertile gametes, from diploid progenitor cells. During meiosis, chromosomes undergo strictly regulated and strongly conserved dynamic processes, at the beginning of which the telomeres are actively tethered and intimately attached to the nuclear envelope (NE). The attached telomeres are then moved within the NE through cytoskeletal forces to cluster within a restricted region, forming the highly conserved bouquet stage. Subsequently, the bouquet is released simultaneously to the completion of the synaptonemal complex assembly tightly linking homologous chromosome pairs together. In combination these processes are essential for the successful completion of meiosis. Because the meiotic NE serves as a platform for telomere attachment and movement it can be assumed to be critically involved in these events crucial for fertility. However, the precise roles of many meiotic NE proteins in the attachment and movement of telomeres still remain elusive. Therefore, it was the aim of this thesis to investigate the functions of two mammalian meiotic NE components in telomere attachment and dynamics. The first part of this thesis is concerned with the meiosis-specific lamin C2. Lamin C2 is the only A-type lamin expressed during meiosis and has in previous studies shown to feature altered meiosis-specific properties, clearly distinguishing it from somatic lamins. Because lamin C2 is enriched at sites of telomere attachment, exhibits a high mobility within the nuclear lamina and influences NE integrity, it has been postulated that it may locally increase NE flexibility to allow efficient meiotic telomere movement. Therefore, possible functions of lamin C2 in the movement of attached telomeres were investigated in this thesis by studying the bouquet formation and release of pubertal mice specifically lacking lamin C2. This revealed that lamin C2 deficient mice show a delayed bouquet release, leading to severe defects in the synaptic pairing of homologous chromosomes, which in turn results in infertility of the males. Therefore, the efficient repositioning of attached meiotic telomeres, facilitated by lamin C2, seems essential for completing meiosis. The second part of this thesis focuses on the protein complex responsible for the attachment of meiotic telomeres to the NE and their coupling to the cytoskeleton. The so-called LINC complex is composed of SUN domain proteins in the inner nuclear membrane interacting with KASH domain proteins of the outer nuclear membrane. In previous studies it had been shown that SUN1, SUN2 and KASH5 localise to the attached meiotic telomeres. Regarding the meiotic role of SUN2, however, contradicting results have recently been discussed, showing the need for further investigations. Using an available SUN1 deficient mouse strain, this thesis was able to show that SUN2 is sufficient for telomere attachment per se although telomere attachment is impaired in SUN1 deficient mice leading to infertility. It is also demonstrated that SUN2 forms a functional LINC complex together with KASH5 to mediate this telomere attachment. This LINC complex in the absence of SUN1 is able to move attached telomeres into a bouquet-like cluster formation. Therefore, this demonstrates that SUN2 is involved in the functional attachment and movement of meiotic telomeres. In summary, this thesis has shown SUN2 and the meiotic nuclear lamina to be directly involved in or essential for the highly conserved attachment and movement of telomeres, making them critical for a successful meiosis. The meiotic NE is therefore in this thesis demonstrated to be a determinant of mammalian fertility.
Introduction: Colon cancer is one of the major human malignancies worldwide, and much effort has been applied to understand the process of colon carcinogenesis, as well as the role of potential treatments and co-therapeutical agents against it. A growing body of evidence suggests that the use of fluoxetine (FLX), an antidepressant belonging to the selective serotonin reuptake inhibitors (SSRIs), may be associated with a reduced colon cancer risk. However, controversial opinions have been published and an identification of the mechanisms of the activity of FLX on colon cells would help in the clarification of this controversy. Objectives: Using several in vitro and in vivo-based methods and analyses, we aimed to verify whether FLX has antioxidant, pro-oxidant or DNA-damaging potential in standard toxicological assays; to check whether and how FLX could prevent and reduce colon preneoplastic lesions; to ascertain whether FLX has any oncostatic potential against colon tumors; and, to investigate whether FLX activity could be comparable with a known and current applied chemotherapeutic agent against colon cancer. Results: FLX did not have any antioxidant potential in our experiments. Although it did not induce reactive oxygen species (ROS) generation or DNA-damage in fibroblast and colon tumor cell lines, FLX reduced dysplasia and proliferation in two different carcinogen models. Further, a significant decrease in colon stromal reactivity and angiogenesis was found in both carcinogen-induced preneoplasia models. In a xenograft model of colon cancer, FLX shrank tumors, reduced tumor proliferation, arrested cancer cells at the G0/G1 cell-cycle phase, and took ROS generation under control. Such effects were detected together with an intracellular acidification and loss of mitochondrial membrane potential in FLX-treated cells. Modulating mitochondrial respiratory chain, HIF-1 expression and Akt/mTOR signaling pathway, FLX was found to reduce colon tumors similar to the widely used chemotherapeutic agent 5-Fluoracil activity. Conclusion: Our collective data suggest that FLX is a remarkable chemopreventive and oncostatic agent against colon preneoplastic lesions and tumors, acting without DNA-damage or ROS generation.