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In der folgenden Arbeit werden Eigenschaften von Verzweigungsprozessen in zufälliger Umgebung (engl. branching processes in random environment, kurz BPREs) untersucht. Das Modell geht auf Smith (1969) und Athreya (1971) zurück. Ein BPRE ist ein einfaches mathematisches Modell für die Entwicklung einer Population von apomiktischen (d.h. sich ungeschlechtlich fortpflanzenden) Individuen in diskreter Zeit, wobei die Umgebungsbedingungen einen Einfluß auf den Fortpflanzungserfolg der Individuen haben. Dabei wird angenommen, dass die Umgebungsbedingungen in den einzelnen Generationen zufällig sind, und zwar unabhängig und identisch verteilt von Generation zu Generation. Man denke z.B. an eine Population von Pflanzen mit einem einjährigen Zyklus, die in jedem Jahr anderen Witterungsbedingungen ausgesetzt sind, wobei angenommen wird, dass diese sich unabhängig und identisch verteilt ändern. In Kapitel 1 wird eines der wichtigsten Hilfsmittel zur Beschreibung von BPREs, die sogenannte zugehörige Irrfahrt, eingeführt und die Klassifizierung von BPREs beschrieben. In Kapitel 2 werden bekannte Resultate, insbesondere zu kritischen, schwach subkritischen und stark subkritischen Verzweigungsprozessen, wiederholt. In Kapitel 3 wird der sogenannte intermediär subkritische Fall behandelt. Mithilfe von funktionalen Grenzwertsätzen für bedingte Irrfahrten wird die genaue Asymptotik der Überlebenswahrscheinlichkeit des Prozesses, die bereits in Vatutin (2004) bewiesen wurde, unter etwas allgemeineren Voraussetzungen gezeigt. Anschließend wird untersucht, wie häufig der Prozess, bedingt auf Überleben, nur noch aus einem Individuum besteht. Im letzten Teil des Kapitels wird ein funktionaler Grenzwertsatz für die zugehörige Irrfahrt, bedingt aufs Überleben des Prozesses, gezeigt. Diese konvergiert, richtig skaliert, gegen einen Levy-Prozess, der darauf bedingt ist, sein Minimum am Ende anzunehmen. In Kapitel 4 werden große Abweichungen von BPREs untersucht. Die Ratenfunktion des BPRE wird sowohl für den Fall mindestens geometrisch schnell abfallender Tails, als auch für den Fall von Nachkommenverteilungen mit schweren Tails bestimmt. Wie sich herausstellt, hängt die Ratenfunktion von der Ratenfunktion der zugehörigen Irrfahrt, der exponentiellen Abfallrate der Überlebenswahrscheinlichkeit sowie, bei Nachkommenverteilungen mit schweren Tails, auch von den Tails derselben ab. In der Ratenfunktion spiegeln sich die wahrscheinlichsten Wege, um Ereignisse der großen Abweichungen zu realisieren, wider, was in Kapitel 4.3 beschrieben wird. In Kapitel 4.4 wird im speziellen Fall von Nachkommenverteilungen mit gebrochen-linearer Erzeugendenfunktion die Ratenfunktion für Ereignisse bestimmt, bei denen ein superkritischer BPRE überlebt, aber klein im Vergleich zum Erwartungswert bleibt. In Kapitel 4.5 werden die großen Abweichungen, bedingt auf die Umgebung untersucht (engl. quenched). In diesem Fall können unwahrscheinliche Ereignisse nur über den Verzweigungsmechanismus und nicht mehr über eine außergewöhnliche Umgebung realisiert werden. Zum Abschluss der Dissertation werden Verzweigungsprozesse in zufälliger Umgebung, bedingt auf Überle-ben, simuliert. Dazu wird eine Konstruktion nach Geiger (1999) angewendet. Diese erlaubt es, Galton-Watson Bäume in variierender Umgebung, bedingt auf Überleben, entlang einer Ahnenlinie zu konstruieren. Der Fall geometrischer Nachkommenverteilungen, auf den wir uns in Kapitel 5 beschränken, erlaubt die explizite Berechnung der benötigten Verteilungen. Als Anwendung des Grenzwertsatzes aus Kapitel 3.1 können nun intermediär subkritische Verzweigungsprozesse, bedingt auf Überleben, wie folgt simuliert werden: Zunächst wird die Umgebung zufällig bestimmt, und zwar als Irrfahrt, bedingt darauf ihr Minimum am Ende anzunehmen. Anschließend wird, der Geiger-Konstruktion folgend, ein Verzweigungsprozess in dieser Umgebung, bedingt auf Überleben, simuliert. Zum Abschluss wird in einem kurzen Ausblick auf aktuelle Forschung verwiesen. Im Anhang befinden sich einige technische Resultate.
Background: To evaluate the effectivity of fractionated radiotherapy in adolescent and adult patients with pineal parenchymal tumors (PPT). Methods: Between 1982 and 2003, 14 patients with PPTs were treated with fractionated radiotherapy. 4 patients had a pineocytoma (PC), one a PPT with intermediate differentiation (PPTID) and 9 patients a pineoblastoma (PB), 2 of which were recurrences. All patients underwent radiotherapy to the primary tumor site with a median total dose of 54 Gy. In 9 patients with primary PB treatment included whole brain irradiation (3 patients) or irradiation of the craniospinal axis (6 patients) with a median total dose of 35 Gy. Results: Median follow-up was 123 months in the PC patients and 109 months in the patients with primary PB. 7 patients were free from relapse at the end of follow-up. One PC patient died from spinal seeding. Among 5 PB patients treated with radiotherapy without chemotherapy, 3 developed local or spinal tumor recurrence. Both patients treated for PB recurrences died. The patient with PPTID is free of disease 7 years after radiotherapy. Conclusion: Local radiotherapy seems to be effective in patients with PC and some PPTIDs. Diagnosis and treatment of patients with more aggressive variants of PPTIDs as well as treatment of PB need to be further improved, since local and spinal failure even despite craniospinal irradiation (CSI) is common. As PPT are very rare tumors, treatment within multi-institutional trials remains necessary.
We examined financial literacy among the young using the most recent wave of the 1997 National Longitudinal Survey of Youth. We showed that financial literacy is low; fewer than one-third of young adults possess basic knowledge of interest rates, inflation, and risk diversification. Financial literacy was strongly related to sociodemographic characteristics and family financial sophistication. Specifically, a college-educated male whose parents had stocks and retirement savings was about 45 percentage points more likely to know about risk diversification than a female with less than a high school education whose parents were not wealthy. These findings have implications for consumer policy. JEL Classification: D91
How ordinary consumers make complex economic decisions: financial literacy and retirement readiness
(2010)
This paper explores who is financially literate, whether people accurately perceive their own economic decision-making skills, and where these skills come from. Self-assessed and objective measures of financial literacy can be linked to consumers’ efforts to plan for retirement in the American Life Panel, and causal relationships with retirement planning examined by exploiting information about respondent financial knowledge acquired in school. Results show that those with more advanced financial knowledge are those more likely to be retirement-ready.
Proliferation and apoptosis are fundamental cellular processes that are important for the development and homeostasis of multi-cellular organisms. Deregulation of these processes plays an important role in tumor formation. Often, genes that control homeostasis by regulating proliferation and apoptosis are mutated or improperly expressed in tumors. In this project, the physiological and pathological functions of FUSE Binding Protein 1 (FBP1) were studied to elucidate the involvement of this gene in the context of embryonic development and tumorigenesis. Two reasons led to the hypothesis that FBP1 might be relevant in this context. FBP1 was isolated in the group of PD Dr. Martin Zörnig using a functional yeast survival screen for the identification of anti-apoptotic genes involved in tumorigenesis, and the anti-apoptotic function of FBP1 was confirmed in the human colon carcinoma cell line RKO. In addition, FBP1 had been published to function as a transcriptional regulator that activates expression of the proto-oncogene c-myc. This gene stimulates cell proliferation and is overexpressed in many tumors. Analysis of FBP1 expression by immunhistochemistry in normal and tumor tissue samples revealed frequent and significant overexpression of FBP1 in Hepatocellular Carcinoma (HCC). To study the functional relevance of FBP1 activity for this tumor type, apoptosis and proliferation of the HCC cell line Hep3B were studied in dependence of FBP1 expression. Downregulation of FBP1 by lentiviral expression of FBP1-specific short hairpin RNA (shRNA) reduced proliferation and increased sensitivity to apoptosis. Subcutaneous injection of FBP1-deficient Hep3B cells into immunodeficient NOD/SCID mice demonstrated that tumor growth was strongly decreased in comparison to control cells. mRNA expression studies by quantitative real time PCR showed reduced mRNA levels of the pro-apoptotic genes Bik, Noxa, TRAIL and TNF-􀀁 in the absence of FBP1. In addition, the cell cycle inhibitors p21 and p15 were repressed by FBP1 while Cyclin D2 expression was decreased in the absence of FBP1. Surprisingly, expression of c-myc was not altered by FBP1 downregulation, indicating a different mechanism of c-myc regulation in HCC cells. These results demonstrate that overexpression of FBP1 inhibits apoptosis and stimulates proliferation in HCC cells by regulating the transcription of relevant target genes. Therefore, FBP1 might represent a promising therapeutic target for the treatment of HCC. For analysis of the physiological function of FBP1, a gene trap mouse model was established. In these mice, the gene trap vector pT1􀀂geo is inserted in intron 19 of the FBP1 locus, leading to the expression of a fusion protein consisting of a truncated FBP1 (lacking the last 62 amino acids), 􀀁-Galactosidase and Neomycin Phosphotransferase. Luciferase reporter assays demonstrated that the fusion protein was not capable of activating the c-myc promoter and even showed a dominant negative effect. Thus, this gene trap mouse serves as a functional FBP1 knockout model. Phenotyping of the FBP1 gene trap mice showed that homozygous mutation of FBP1 resulted in embryonic lethality at late stages of embryonic development (E15.5-E16.5). Heterozygous mice were viable, but born at lower frequencies, indicating a gene dosage- or a dominant negative effect of the FBP1 fusion protein. The cellular effects of FBP1 inactivation were tested in mouse embryonic fibroblasts isolated from FBP1 gene trap mice. While proliferation was reduced in the absence of wildtype FBP1, apoptosis was not affected. Expression analysis showed that in homozygous MEFs p15 and p21 transcripts were upregulated, while decreased cmyc mRNA levels were measured. Closer inspection of homozygous gene trap embryos revealed an anemic phenotype that appeared most pronounced around embryonic day 15.5. Analysis of fetal livers, the main site of hematopoiesis at this stage of development, showed a strongly reduced total cell number in homozygous embryos. Evaluation of the different hematopoietic cell lineages did not reveal significant changes in particular differentiated cell types. Instead, all cell lineages seemed to be affected equally by FBP1 inactivation. In contrast, analysis of hematopoietic progenitor cell populations showed an increased percentage of multipotent progenitor cells (MPPs) and a strongly reduced number of long-term hematopoietic stem cells (LT-HSCs). Functional analysis of MPPs by in vitro colony formation assays demonstrated that the FBP1-mutant cells possess a normal colony formation potential while their expansion capacity was reduced. Competitive transplantation of lineage negative fetal liver cells into irradiated recipient mice resulted in reduced engraftment of liverderived progenitor cells from homozygous FBP1 gene trap mice. However, stable engraftment was observed over a period of 12 weeks, demonstrating that the FBP1-deficient LT-HSCs are in principle capable of long-term repopulation. These results demonstrate that FBP1 exerts an essential function during definitive hematopoiesis. It can be speculated that FBP1 influences proliferation, apoptosis and possibly also stem cell self-renewal through the regulation of specific target genes within the hematopoietic progenitor cells. Alternatively, extrinsic effects caused by the absence of FBP1 activity could impair the function of the progenitor cells.
Tumor hypoxia and nutrient starvation are common phenomena in cancerous tissue. Cells that resist this hostile environment are selected for a more aggressive phenotype, usually accompanied by therapy resistance. The hypoxia inducible factors HIF-1a and HIF-2a play a key role in the adaptive homeostatic responses to these challenging conditions inducing a number of target genes that are involved in the regulation of a variety of cellular processes such as angiogenesis, proliferation, metabolism, self-renewal and cell death/cycle arrest. Thus, the HIF pathway encompasses opposing adaptive responses on tumor growthgrowth promoting abilities on the one hand and growth inhibiting on the other. A recent study in our lab uncovered that this switch between cell death and cell survival critically depends on HIF-2a protein levels. Since PHDs (HIF prolyl hydroxylases) are the main regulators of HIF protein abundance and hypoxia drives the malignant phenotype of tumors, we wanted to characterize HIF regulatory functions of PHDs under hypoxic conditions. Our intention was to reveal the importance of PHD contribution to the opposing functions of HIFs under hypoxia. Characterization of PHD1-4 mRNA and protein expression levels under normoxic and hypoxic conditions in glioblastoma cell lines led to the identification of PHD2 and PHD3 as hypoxia inducible PHD isoforms and highlighted their predominant function under hypoxia. Mechanistically, we demonstrated that HIF mediates the hypoxic induction of PHD2 and 3 within a negative feedback loop, promoting its own degradation during prolonged hypoxia. The functional impact of PHD2 and 3 abundance on cell viability under hypoxic conditions was analyzed by disrupting PHD2 and PHD3 function either through a siRNA mediated approach or by application of the PHD inhibitor DMOG. These experiments uncovered that PHD2 and 3 are protective under hypoxic conditions and that PHD inhibition expedites cell death. Combined HIF and PHD suppression under hypoxic conditions abrogated this increased susceptibility to cell death, clearly showing that PHD2 and 3 act in a negative feedback regulatory loop to limit the HIF response under prolonged hypoxia. With respect to possible future therapeutical applications we co-treated cells with a PHD inhibitor and pro-apoptotic agents staurosporine or TRAIL. Co-challenging tumor cells even potentiated the cell death response, indicating a more widespread protective function of PHD. Taken together PHD2 and 3 protect tumor cells from cell death induction, functioning in a negative feedback regulatory loop to constrain the HIF dependent cell death responses under hypoxia. Interestingly, however, when assessing the role of PHD2 and PHD3 in in vivo tumor growth using an intracranial tumor model, we identified an exclusive tumor suppressor function for PHD3. Loss of PHD3 function enhanced tumor growth whereas increased PHD3 expression diminished the tumor burden. The accelerated tumor growth following PHD3 loss could be attributed to a decrease in the induction of apoptosis and an increase in proliferation. Tumor cells are frequently exposed to temporary and spatial depletion of nutrients. Interestingly, PHD3 loss conferred a growth advantage under growth factor deprivation. The growth regulatory function of PHD3 was isoform specific, HIF independent and importantly, did not require the hydroxylase function of PHD3. Previous reports have uncovered a regulatory function of the PHD system in NF-kB signaling. However, our results demonstrated that NF- kB signaling remained unaffected by alteration in the PHD3 status of the cell. Additionally, the PHD3 tumor suppressor function proved to be independent of two putative PHD3 downstream effectors, ATF4 and KIF1Bb. Mechanistically, PHD3 suppression reduced EGFR internalization, enhancing the amount of EGFR expressed on the cell surface. We further showed that the impaired EGFR internalization during PHD3 loss resulted in receptor hyperactivation under stimulated and growth factor deprived conditions. Importantly, PHD3 physcially associated with the EGFR complex as evidenced by co-immunoprecpitation. Consequently, this extended EGFR activation in PHD3 deficient cells resulted in enhanced downstream activation of EGFR signaling and increased proliferation. Consistent with the interpretation that PHD3 loss is beneficial for tumor growth, we found PHD3 promoter methylation in glioblastoma cell lines, hinting at a epigenetic mechanism to finetune PHD3 expression on top of the hypoxic driven gene regulation. Finally, we demonstrated that PHD3 tumor suppressor function is not restricted to glioblastomas since PHD3 suppression in lung adenocarcinoma accelerated subcutaneous tumor growth. With these findings, we expand the knowledge of PHD3 action from its oxygen sensing role to a regulatory function in growth factor signaling. This clearly discriminates PHD3 from the other isoforms and supports the exclusive tumor suppressor function in glioblastoma. Taken together our results identify a complex role of PHD signaling in cancer and delineate HIF dependent and HIF independent functions of the PHD system. We think that the HIF dependent protective effect of PHD2 and 3 and the HIF independent PHD3 tumor suppressor function are not mutually exclusive, but might be activated according to the heterogeneous intra-tumoral conditions. However, PHD3 hydroxylase activity is dispensable for its HIFindependent tumor suppressor function in glioma. This uncouples PHD3 function from co-factor and co-substrate requirements and allows it to act over a broader physiological range, since its influence on cellular processes is not constrained by the availability of rate limiting factors. It might explain, why the enzymatic independent functions of PHD3 predominate in vivo. Thus, therapeutic modulation of the PHD system to inhibit tumor growth has to be based on these contrasting functions of the PHD system. However, their differential dependence on the hydroxylase activity may facilitate a therapeutic strategy to specifically inhibit or promote the protective versus suppressive functions of the PHD system.