Bivariate gamma-geometric law and its induced Levy process

In this article we introduce a three-parameter extension of the bivariate exponential-geometric (BEG) law (Kozubowski and Panorska, 2005) [4]. We refer to this new distribution as the bivariate gamma-geometric (BGG) law. A bivariate random vector (X, N) follows the BGG law if N has geometric distribution and X may be represented (in law) as a sum of N independent and identically distributed gamma variables, where these variables are independent of N. Statistical properties such as moment generation and characteristic functions, moments and a variance-covariance matrix are provided. The marginal and conditional laws are also studied. We show that BBG distribution is infinitely divisible, just as the BEG model is. Further, we provide alternative representations for the BGG distribution and show that it enjoys a geometric stability property. Maximum likelihood estimation and inference are discussed and a reparametrization is proposed in order to obtain orthogonality of the parameters. We present an application to a real data set where our model provides a better fit than the BEG model. Our bivariate distribution induces a bivariate Levy process with correlated gamma and negative binomial processes, which extends the bivariate Levy motion proposed by Kozubowski et al. (2008) [6]. The marginals of our Levy motion are a mixture of gamma and negative binomial processes and we named it BMixGNB motion. Basic properties such as stochastic self-similarity and the covariance matrix of the process are presented. The bivariate distribution at fixed time of our BMixGNB process is also studied and some results are derived, including a discussion about maximum likelihood estimation and inference. (C) 2012 Elsevier Inc. All rights reserved.

Interferon-gamma and interleukin-10 production by mononuclear cells from patients with advanced head and neck cancer

OBJECTIVE: This study aims to evaluate the production of interferon-gamma and interleukin-10 by stimulated peripheral blood mononuclear cells isolated from patients with supraglottic laryngeal cancer before and after surgical treatment. METHODS: Fourteen patients with advanced supraglottic laryngeal cancer were studied. Cultures of peripheral blood mononuclear cells isolated during the preoperative and late postoperative periods were stimulated with concanavalin A and Bacille Calmette-Guerin, and the supernatant concentrations of interferon-gamma and interleukin-10 were measured. RESULTS: For non-stimulated cultures, the interferon-gamma levels produced by the preoperative period and the late postoperative period cultures were lower than the levels produced by the control group cultures. The interferon-gamma levels after stimulation with concanavalin A were higher in the late postoperative period cultures than in the preoperative evaluation cultures. Stimulation with Bacille Calmette-Guerin led to the production of similar levels of interferon-gamma and interleukin-10 by all cultures; thus, stimulation increased the levels of interferon-gamma produced by both the preoperative and postoperative cultures relative to the levels produced by the corresponding unstimulated cultures. CONCLUSION: Patients with advanced supraglottic laryngeal cancer exhibit an in vitro deficiency in interferongamma secretion by mononuclear cells. Stimulated cells seem to recover this function during the postoperative period.

The log-exponentiated generalized gamma regression model for censored data

For the first time, we introduce a generalized form of the exponentiated generalized gamma distribution [Cordeiro et al. The exponentiated generalized gamma distribution with application to lifetime data, J. Statist. Comput. Simul. 81 (2011), pp. 827-842.] that is the baseline for the log-exponentiated generalized gamma regression model. The new distribution can accommodate increasing, decreasing, bathtub- and unimodal-shaped hazard functions. A second advantage is that it includes classical distributions reported in the lifetime literature as special cases. We obtain explicit expressions for the moments of the baseline distribution of the new regression model. The proposed model can be applied to censored data since it includes as sub-models several widely known regression models. It therefore can be used more effectively in the analysis of survival data. We obtain maximum likelihood estimates for the model parameters by considering censored data. We show that our extended regression model is very useful by means of two applications to real data.

GQ-16, a Novel Peroxisome Proliferator-activated Receptor gamma (PPAR gamma) Ligand, Promotes Insulin Sensitization without Weight Gain

The recent discovery that peroxisome proliferator-activated receptor gamma (PPAR gamma) targeted anti-diabetic drugs function by inhibiting Cdk5-mediated phosphorylation of the receptor has provided a new viewpoint to evaluate and perhaps develop improved insulin-sensitizing agents. Herein we report the development of a novel thiazolidinedione that retains similar anti-diabetic efficacy as rosiglitazone in mice yet does not elicit weight gain or edema, common side effects associated with full PPAR gamma activation. Further characterization of this compound shows GQ-16 to be an effective inhibitor of Cdk5-mediated phosphorylation of PPAR gamma. The structure of GQ-16 bound to PPAR gamma demonstrates that the compound utilizes a binding mode distinct from other reported PPAR gamma ligands, although it does share some structural features with other partial agonists, such as MRL-24 and PA-082, that have similarly been reported to dissociate insulin sensitization from weight gain. Hydrogen/deuterium exchange studies reveal that GQ-16 strongly stabilizes the beta-sheet region of the receptor, presumably explaining the compound's efficacy in inhibiting Cdk5-mediated phosphorylation of Ser-273. Molecular dynamics simulations suggest that the partial agonist activity of GQ-16 results from the compound's weak ability to stabilize helix 12 in its active conformation. Our results suggest that the emerging model, whereby "ideal" PPAR gamma-based therapeutics stabilize the beta-sheet/Ser-273 region and inhibit Cdk5-mediated phosphorylation while minimally invoking adipogenesis and classical agonism, is indeed a valid framework to develop improved PPAR gamma modulators that retain antidiabetic actions while minimizing untoward effects.

Apoptosis rate and transcriptional response of pancreatic islets exposed to the PPAR gamma agonist Pioglitazone

To explore the molecular pathways underlying thiazolidinediones effects on pancreatic islets in conditions mimicking normo- and hyperglycemia, apoptosis rate and transcriptional response to Pioglitazone at both physiological and supraphysiological glucose concentrations were evaluated. Adult rat islets were cultured at physiological (5.6 mM) and supraphysiological (23 mM) glucose concentrations in presence of 10 μM Pioglitazone or vehicle. RNA expression profiling was evaluated with the PancChip 13k cDNA microarray after 24-h, and expression results for some selected genes were validated by qRT-PCR. The effects of Pioglitazone were investigated regarding apoptosis rate after 24-, 48- and 72-h. At 5.6 mM glucose, 101 genes were modulated by Pioglitazone, while 1,235 genes were affected at 23 mM glucose. Gene networks related to lipid metabolism were identified as altered by Pioglitazone at both glucose concentrations. At 23 mM glucose, cell cycle and cell death pathways were significantly regulated as well. At 5.6 mM glucose, Pioglitazone elicited a transient reduction in islets apoptosis rate while at 23 mM, Bcl2 expression was reduced and apoptosis rate was increased by Pioglitazone. Our data demonstrate that the effect of Pioglitazone on gene expression profile and apoptosis rate depends on the glucose concentration. The modulation of genes related to cell death and the increased apoptosis rate observed at supraphysiological glucose concentration raise concerns about Pioglitazone’s direct effects in conditions of hyperglycemia and reinforce the necessity of additional studies designed to evaluate TZDs effects on the preservation of β-cell function in situations where glucotoxicity might be more relevant than lipotoxicity.

Interferon-gamma and interleukin-10 production by mononuclear cells from patients with advanced head and neck cancer

OBJECTIVE: This study aims to evaluate the production of interferon-gamma and interleukin-10 by stimulated peripheral blood mononuclear cells isolated from patients with supraglottic laryngeal cancer before and after surgical treatment. METHODS: Fourteen patients with advanced supraglottic laryngeal cancer were studied. Cultures of peripheral blood mononuclear cells isolated during the preoperative and late postoperative periods were stimulated with concanavalin A and Bacille Calmette-Guerin, and the supernatant concentrations of interferon-gamma and interleukin-10 were measured. RESULTS: For non-stimulated cultures, the interferon-gamma levels produced by the preoperative period and the late postoperative period cultures were lower than the levels produced by the control group cultures. The interferon-gamma levels after stimulation with concanavalin A were higher in the late postoperative period cultures than in the preoperative evaluation cultures. Stimulation with Bacille Calmette-Guerin led to the production of similar levels of interferon-gamma and interleukin-10 by all cultures; thus, stimulation increased the levels of interferon-gamma produced by both the preoperative and postoperative cultures relative to the levels produced by the corresponding unstimulated cultures. CONCLUSION: Patients with advanced supraglottic laryngeal cancer exhibit an in vitro deficiency in interferongamma secretion by mononuclear cells. Stimulated cells seem to recover this function during the postoperative period.

Altered phenotype and function of dendritic cells in individuals with chronic periodontitis

OBJECTIVE: To investigate the effects of periodontal bacterial lysates on maturation and function of mature monocyte-derived dendritic cells (m-MDDCs) derived from individuals with chronic periodontitis (CP) or healthy periodontal tissue (HP). DESIGN: m-MDDCs derived from peripheral blood monocytes, cultured for 7 days in presence of interleukin (IL)-4 and granulocyte-macrophage colony stimulating factor (GM-CSF), were stimulated with lysates of Streptococcus sanguinis, Prevotella intermedia, Porphyromonas gingivalis, or Treponema denticola on day 4, and were then phenotyped. IL-10, IL-12 and IFN-gamma concentration in the supernatant of cultures were measured. RESULTS: Expression of HLA-DR was lower in bacterial-unstimulated mature m-MDDC from CP compared to HP (p=0.04), while expression of CD1a and CD123 were higher in CP. The expression pattern of HLA-DR, CD11c, CD123, and CD1a did not change on bacterial stimulation, regardless of the bacteria. Stimulation with P. intermedia upregulated CD80 and CD86 in CP cells (p≤0.05). Production of IL-12p70 by bacterial-unstimulated m-MDDCs was 5.8-fold greater in CP compared to HP. Bacterial stimulation further increased IL-12p70 production while decreasing IL-10. Significantly more IFN-gamma was produced in co-cultures of CP m-MDDCs than with HP m-MDDCs when cells were stimulated with P. intermedia (p=0.009). CONCLUSIONS: Bacterial-unstimulated m-MDDC from CP exhibited a more immature phenotype but a cytokine profile biased towards proinflammatory response; this pattern was maintained/exacerbated after bacterial stimulation. P. intermedia upregulated co-stimulatory molecules and IFN-gamma expression in CP m-MDDC. These events might contribute to periodontitis pathogenesis

Studies of OPA1 pathogenic mechanisms in Dominant Optic Atrophy and novel protein function in mitochondrial DNA stability

The mitochondrion is an essential cytoplasmic organelle that provides most of the energy necessary for eukaryotic cell physiology. Mitochondrial structure and functions are maintained by proteins of both mitochondrial and nuclear origin. These organelles are organized in an extended network that dynamically fuses and divides. Mitochondrial morphology results from the equilibrium between fusion and fission processes, controlled by a family of “mitochondria-shaping” proteins. It is becoming clear that defects in mitochondrial dynamics can impair mitochondrial respiration, morphology and motility, leading to apoptotic cell death in vitro and more or less severe neurodegenerative disorders in vivo in humans. Mutations in OPA1, a nuclear encoded mitochondrial protein, cause autosomal Dominant Optic Atrophy (DOA), a heterogeneous blinding disease characterized by retinal ganglion cell degeneration leading to optic neuropathy (Delettre et al., 2000; Alexander et al., 2000). OPA1 is a mitochondrial dynamin-related guanosine triphosphatase (GTPase) protein involved in mitochondrial network dynamics, cytochrome c storage and apoptosis. This protein is anchored or associated on the inner mitochondrial membrane facing the intermembrane space. Eight OPA1 isoforms resulting from alternative splicing combinations of exon 4, 4b and 5b have been described (Delettre et al., 2001). These variants greatly vary among diverse organs and the presence of specific isoforms has been associated with various mitochondrial functions. The different spliced exons encode domains included in the amino-terminal region and contribute to determine OPA1 functions (Olichon et al., 2006). It has been shown that exon 4, that is conserved throughout evolution, confers functions to OPA1 involved in maintenance of the mitochondrial membrane potential and in the fusion of the network. Conversely, exon 4b and exon 5b, which are vertebrate specific, are involved in regulation of cytochrome c release from mitochondria, and activation of apoptosis, a process restricted to vertebrates (Olichon et al., 2007). While Mgm1p has been identified thanks to its role in mtDNA maintenance, it is only recently that OPA1 has been linked to mtDNA stability. Missense mutations in OPA1 cause accumulation of multiple deletions in skeletal muscle. The syndrome associated to these mutations (DOA-1 plus) is complex, consisting of a combination of dominant optic atrophy, progressive external ophtalmoplegia, peripheral neuropathy, ataxia and deafness (Amati- Bonneau et al., 2008; Hudson et al., 2008). OPA1 is the fifth gene associated with mtDNA “breakage syndrome” together with ANT1, PolG1-2 and TYMP (Spinazzola et al., 2009). In this thesis we show for the first time that specific OPA1 isoforms associated to exon 4b are important for mtDNA stability, by anchoring the nucleoids to the inner mitochondrial membrane. Our results clearly demonstrate that OPA1 isoforms including exon 4b are intimately associated to the maintenance of the mitochondrial genome, as their silencing leads to mtDNA depletion. The mechanism leading to mtDNA loss is associated with replication inhibition in cells where exon 4b containing isoforms were down-regulated. Furthermore silencing of exon 4b associated isoforms is responsible for alteration in mtDNA-nucleoids distribution in the mitochondrial network. In this study it was evidenced that OPA1 exon 4b isoform is cleaved to provide a 10kd peptide embedded in the inner membrane by a second transmembrane domain, that seems to be crucial for mitochondrial genome maintenance and does correspond to the second transmembrane domain of the yeasts orthologue encoded by MGM1 or Msp1, which is also mandatory for this process (Diot et al., 2009; Herlan et al., 2003). Furthermore in this thesis we show that the NT-OPA1-exon 4b peptide co-immuno-precipitates with mtDNA and specifically interacts with two major components of the mitochondrial nucleoids: the polymerase gamma and Tfam. Thus, from these experiments the conclusion is that NT-OPA1- exon 4b peptide contributes to the nucleoid anchoring in the inner mitochondrial membrane, a process that is required for the initiation of mtDNA replication and for the distribution of nucleoids along the network. These data provide new crucial insights in understanding the mechanism involved in maintenance of mtDNA integrity, because they clearly demonstrate that, besides genes implicated in mtDNA replications (i.e. polymerase gamma, Tfam, twinkle and genes involved in the nucleotide pool metabolism), OPA1 and mitochondrial membrane dynamics play also an important role. Noticeably, the effect on mtDNA is different depending on the specific OPA1 isoforms down-regulated, suggesting the involvement of two different combined mechanisms. Over two hundred OPA1 mutations, spread throughout the coding region of the gene, have been described to date, including substitutions, deletions or insertions. Some mutations are predicted to generate a truncated protein inducing haploinsufficiency, whereas the missense nucleotide substitutions result in aminoacidic changes which affect conserved positions of the OPA1 protein. So far, the functional consequences of OPA1 mutations in cells from DOA patients are poorly understood. Phosphorus MR spectroscopy in patients with the c.2708delTTAG deletion revealed a defect in oxidative phosphorylation in muscles (Lodi et al., 2004). An energetic impairment has been also show in fibroblasts with the severe OPA1 R445H mutation (Amati-Bonneau et al., 2005). It has been previously reported by our group that OPA1 mutations leading to haploinsufficiency are associated in fibroblasts to an oxidative phosphorylation dysfunction, mainly involving the respiratory complex I (Zanna et al., 2008). In this study we have evaluated the energetic efficiency of a panel of skin fibroblasts derived from DOA patients, five fibroblast cell lines with OPA1 mutations causing haploinsufficiency (DOA-H) and two cell lines bearing mis-sense aminoacidic substitutions (DOA-AA), and compared with control fibroblasts. Although both types of DOA fibroblasts maintained a similar ATP content when incubated in a glucose-free medium, i.e. when forced to utilize the oxidative phosphorylation only to produce ATP, the mitochondrial ATP synthesis through complex I, measured in digitonin-permeabilized cells, was significantly reduced in cells with OPA1 haploinsufficiency only, whereas it was similar to controls in cells with the missense substitutions. Furthermore, evaluation of the mitochondrial membrane potential (DYm) in the two fibroblast lines DOA-AA and in two DOA-H fibroblasts, namely those bearing the c.2819-2A>C mutation and the c.2708delTTAG microdeletion, revealed an anomalous depolarizing response to oligomycin in DOA-H cell lines only. This finding clearly supports the hypothesis that these mutations cause a significant alteration in the respiratory chain function, which can be unmasked only when the operation of the ATP synthase is prevented. Noticeably, oligomycin-induced depolarization in these cells was almost completely prevented by preincubation with cyclosporin A, a well known inhibitor of the permeability transition pore (PTP). This results is very important because it suggests for the first time that the voltage threshold for PTP opening is altered in DOA-H fibroblasts. Although this issue has not yet been addressed in the present study, several are the mechanisms that have been proposed to lead to PTP deregulation, including in particular increased reactive oxygen species production and alteration of Ca2+ homeostasis, whose role in DOA fibroblasts PTP opening is currently under investigation. Identification of the mechanisms leading to altered threshold for PTP regulation will help our understanding of the pathophysiology of DOA, but also provide a strategy for therapeutic intervention.

Aufbau des Crystal-Ball-Detektorsystems und Untersuchung der Helizitätsasymmetrie in gamma p p pi 0 pi 0

Seit Frühjahr 2004 wird der Crystal Ball-Detektor am Photonenstrahl des Mainzer Mikrotrons für Koinzidenzexperimente zur Untersuchung der Struktur der Nukleonen genutzt. Aufbau und Inbetriebnahme des Kalorimeters, insbesondere der neuen Detektorelektronik, bilden einen Schwerpunkt dieser Arbeit. Komponenten wurden neu konstruiert oder auf ihre Verwendbarkeit geprüft und nögenfalls modifiziert. Nach erfolgreichem Abschluss der Aufbauphase wurden Experimente zur Produktion von $pi$- und $eta$-Mesonen am Proton mit mehr als 2500 Stunden Strahlbetrieb durchgeführt. Den zweiten Schwerpunkt der Dissertation bildet die erstmalige Messung der Helizitätsasymmetrie I$^odot$ in der Photoproduktion zweier neutraler Pionen. Zum Verstädnis des Anregungsspektrums der Nukleonen müssen Experimente mit polarisierten Photonen und/oder polarisierten Targets durchgeführt werden. Da Modelle trotz unterschiedlicher Annahmen unpolarisiert gemessene Größen vergleichbar gut reproduzieren, ist die Bestimmung der auf Modellunterschiede empfindlichen Polarisationsobservablen unumgäglich. Im Gegensatz zur Einpionproduktion tritt in der Zweipionproduktion eine Einfachpolarisationsobservable auf, die mit zirkular polarisierten Photonen am unpolarisierten Proton gemessen werden kann. Diese wurde in der Reaktion $gamma$ p $rightarrow$ p $pi^0$ $pi^0$ und in $gamma$ p $rightarrow$ p $pi^+$ $pi^-$ energie- und winkelabhägig bestimmt. Die Ergebnisse weichen stark von den Modellvorhersagen ab.

Charakterisierung spezieller pflanzlicher Gamma-Tubulin-Sequenzbereiche und Detektion potentieller Interaktionspartner mittels Yeast-two-Hybrid-System

Mitotische und postmitotische Vorgänge pflanzlicher Zellen basieren auf der Funktion von Mikrotubuli. Es liegen nur wenige gesicherte Erkenntnisse zur Organisation dieser Multifunktionalität vor. Eine zentrale Bedeutung wird bei der Nukleation der Mikrotubuli an MTOCs durch γ-Tubulin zugeschrieben. Deren Zusammenlagerung an MTOCs ist jedoch noch nicht richtig verstanden. Domänen, die an der Proteinoberfläche exponiert werden, könnten in Interaktionen involviert sein. Hier werden im Besonderen der γ-A und γ-B-Peptivmotiv diskutiert. Es wurde das γ-A- und γ-B-Peptidmotiv des γ-Tubulins hinsichtlich einer Konservierung innerhalb des Pflanzenreiches untersucht. Die beiden Bereiche sind bei den grünen Landpflanzen stark konserviert. Sie divergieren stark zu den einzelligen Grünalgen Chlamydomonas reinhardtii und Chlorella spec. Es wurden daher in der bestehenden phylogentischen Lücke weitere Organismen hinsichtlich des γ-A und γ-B Peptidmotivs untersucht. Auswahlkriterien der Organismen waren Ein-/Mehrzelligkeit, Besitz/Abwesenheit von Centriolen und Besitz/Abwesenheit von Geißeln. Des weiteren wurde mit verschiedenen γ-Tubulin-Konstrukten um das γ-A- und γ-B-Peptidmotiv, gewonnen aus Nicotiana tabacum (BY2) mittels Y2H-System nach Interaktionspartnern gesucht. Bei den Sequenzuntersuchungen des γ-A- und γ-B-Peptidmotivs konnte festgestellt werden, dass die Konservierung innerhalb der Streptophytenlinie erfolgt. Interessant erweist sich die Tatsache, dass dieses Motiv bei den Jochalgen, welche ebenfalls den Streptophyten angehören, nur im γ-A-Peptidmotiv auftritt. Es besteht die Möglichkeit, dass die beiden potentiellen Interaktionspartner verschiedene Proteine als Interaktions-partner besitzen. Durch eine Anwendung eines auf dem GAL4-Protein basierenden Y2H-Systems mit vier unterschiedlichen Konstrukten des γ-Tubulin-A/B-Peptidbereichs als Köder-konstrukt und einer cDNA-Bibliothek als Beutekonstrukt, wurden diverse Sequenzen identifiziert. Identifiziert wurden das Poly(A)-Bindeprotein, Glycerin-aldehyd-3-phosphatdehydrogenase, die S-adenosyl-L-methionine-Synthetase, diverse Proteasom-Untereinheiten, eine sekretorische Peroxidase, eine Ascorbat-Peroxidase, die NtPOX1-Peroxidase und verschiedene Peroxidasen aus Nicotiana tabacum, Sequenzen des Chloroplastengenoms, ein Myosin-ähnliches Protein und eine Sequenz auf dem 5. Chromosom des Medicago truncatula-Klons mth2-16f8 und diverse humane Sequenzen der Proteine DKFZp68 und DKFZp77. Die Ergebnisse weisen auf eine komplexe Funktionsweise der unterschiedlichen Komponenten des pflanzlichen Cytoskeletts und des γ-Tubulins hin. Zur Aufklärung müsste dies in Zukunft mittels anderer genetischer, biochemischer oder funktioneller Methoden untersucht werden. Hypothesen über Interaktionen der Cytoskelettkomponenten können wahrscheinlich nicht allein durch die Anwendung des Y2H-Systems aufgeklärt werden.

HIF1α regulates Mitochondrial biogenesis and Cellular senescence induced by Gamma Radiation

Cellular response to γ-rays is mediated by ATM-p53 axis. When p53 is phosphorylated, it can transactivate several genes to induce permanent cell cycle arrest (senescence) or apoptosis. Epithelial and mesenchymal cells are more resistant to radiation-induced apoptosis and respond mainly by activating senescence. Hence, tumor cells in a senescent state might remain as “dormant” malignant in fact through disruption of p53 function, cells may overcome growth arrest. Oncocytic features were acquired in the recurring neoplasia after radiation therapy in patient with colonrectal cancer. Oncocytic tumors are characterized by aberrant biogenesis and are mainly non-aggressive neoplasms. Their low proliferation degree can be explained by chronic destabilization of HIF1α, which presides to adaptation to hypoxia and also plays a pivotal role in hypoxia-related radio-resistance. The aim of the present thesis was to verify whether mitochondrial biogenesis can be induced following radiation treatment, in relation of HIF1α status and whether is predictive of a senescence response. In this study was demonstrate that mitochondrial biogenesis parameters like mitochondrial DNA copy number could be used for the prediction of hypoxic status of tissue after radiation treatment. γ-rays induce an increase of mitochondrial mass and function, in response to a genotoxic stress that pushes cells into senescence. Mitochondrial biogenesis is only indirectly regulated by p53, whose activation triggers a MDM2-mediated HIF1α degradation, leading to the release of PGC-1β inhibition by HIF1α. On the other hand, this protein blunts the mitochondrial response to γ-rays as well as the induction of p21-mediated cell senescence, indicating prevalence of the hypoxic over the genotoxic response. Finally in vivo, post-radiotherapy mtDNA copy number increase well correlates with lack of HIF1α increase in the tissue, concluding this may be a useful molecular tool to infer the trigger of a hypoxic response during radiotherapy, which may lead to failure of activation of senescence.

Measurement of K +- pi +- gamma gamma decays

The goal of this thesis was an experimental test of an effective theory of strong interactions at low energy, called Chiral Perturbation Theory (ChPT). Weak decays of kaon mesons provide such a test. In particular, K± → π±γγ decays are interesting because there is no tree-level O(p2) contribution in ChPT, and the leading contributions start at O(p4). At this order, these decays include one undetermined coupling constant, ĉ. Both the branching ratio and the spectrum shape of K± → π±γγ decays are sensitive to this parameter. O(p6) contributions to K± → π±γγ ChPT predict a 30-40% increase in the branching ratio. From the measurement of the branching ratio and spectrum shape of K± → π±γγ decays, it is possible to determine a model dependent value of ĉ and also to examine whether the O(p6) corrections are necessary and enough to explain the rate.About 40% of the data collected in the year 2003 by the NA48/2 experiment have been analyzed and 908 K± → π±γγ candidates with about 8% background contamination have been selected in the region with z = mγγ2/mK2 ≥ 0.2. Using 5,750,121 selected K± → π±π0 decays as normalization channel, a model independent differential branching ratio of K± → π±γγ has been measured to be:BR(K± → π±γγ, z ≥ 0.2) = (1.018 ± 0.038stat ± 0.039syst ± 0.004ext) ∙10-6. From the fit to the O(p6) ChPT prediction of the measured branching ratio and the shape of the z-spectrum, a value of ĉ = 1.54 ± 0.15stat ± 0.18syst has been extracted. Using the measured ĉ value and the O(p6) ChPT prediction, the branching ratio for z =mγγ2/mK2 <0.2 was computed and added to the measured result. The value obtained for the total branching ratio is:BR(K± → π±γγ) = (1.055 ± 0.038stat ± 0.039syst ± 0.004ext + 0.003ĉ -0.002ĉ) ∙10-6, where the last error reflects the uncertainty on ĉ.The branching ratio result presented here agrees with previous experimental results, improving the precision of the measurement by at least a factor of five. The precision on the ĉ measurement has been improved by approximately a factor of three. A slight disagreement with the O(p6) ChPT branching ratio prediction as a function of ĉ has been observed. This mightrnbe due to the possible existence of non-negligible terms not yet included in the theory. Within the scope of this thesis, η-η' mixing effects in O(p4) ChPT have also been measured.

Die Schleimkeratine TK-alpha and TK-gamma des Zebrabärblings Danio rerio

Die Schleimkeratine TKα und TKγ aus dem Schleimaal Eptatretus stoutii besitzten für Keratine außergewöhnliche Eigenschaften. In speziellen Drüsen reifen die Schleimkeratine zu 3 µm dicken und bis zu 60 cm langen kabelartigen Filamenten heran und werden anschließend zur Feindabwehr ins umgebende Wasser extrazellulär sezerniert, wodurch die viskoelastischen Eigenschaften des Schleims modifiziert werden. Mittlerweile wurden die Schleimkeratine auch in höheren Wirbeltiergruppen (Knochenfische und Amphibien) entdeckt. Zu Beginn meiner Promotion war jedoch bis auf EST-Verteilungsprofile noch nichts über die Expression und Funktion der Schleimkeratine in diesen Organismen bekannt. rnIm Rahmen meiner Arbeit wurden die Schleimkeratine TKα und TKγ erstmalig im Zebrabärbling Danio rerio identifiziert und näher charakterisiert. Mittels rekombinanter Expression wurden TKα und TKγ in ausreichenden Mengen hergestellt und auf ihre Bindungseigenschaften hin untersucht. Hierbei konnte ich zeigen, dass TKα und TKγ einerseits miteinander Heteromere formen und andererseits, dass das TKα in der Lage ist, auch homopolymere Strukturen auszubilden. Letztere Eigenschaft wurde bisher noch bei keinem bekannten cytoplasmatischen Keratin beschrieben. Ergänzend zu diesen Untersuchungen wurde eine Expressionsanalyse durchgeführt. Hierbei konnte gezeigt werden, dass die Schleimkeratine im Zebrabärbling nicht extrazellulär sezerniert werden und zum anderen keine höheren, kabelartigen Strukturen ausformen. Vielmehr werden die Schleimkeratine bei adulten Tieren in den basalen Zellschichten der Epidermis exprimiert, welche keinen mechanischen Schutz in Form von Schuppen aufweisen (Stirnhautepidermis, Epidermis in Geweben zwischen den Flossenstrahlen). Innerhalb dieser Zellen formen die Schleimkeratine ein filamentöses Netzwerk aus, dass sich an der basalen Zellseite konzentriert. Eine mögliche Funktion von TKα und TKγ könnte demnach in der Erhöhung der mechanischen Integrität von stark beanspruchten Geweben liegen, die keinen Schutz in Form von Schuppen aufweisen. So werden TKα und TKγ in larvalen Entwicklungsstadien in der Epidermis, sowie im mechanisch stark beanspruchten Notochord koexprimiert. rnDa das Notochord im Zebrabärbling auch in entwicklungsbiologischen Vorgängen eine entscheidende Rolle spielt und weiterhin in aktuellen Untersuchungen am glatten Krallen-frosch Xenopus laevis Funktionen der Schleimkeratine TKα und TKγ innerhalb von Degenerationsprozessen während der Metamorphose nachgewiesen werden konnten, sind auch im Zebrabärbling Danio rerio Funktionen der Schleimkeratine TKα und TKγ im Rahmen von Entwicklungsprozessen denkbar.rn

Charakterisierung einer pflanzlichen Variante des Cytoskelettproteins gamma-Tubulin durch Strukturmodellierung, Überexpression und Analyse der Interaktionspartner

Wie alle Eukaryoten besitzen auch höhere Pflanzen ein mikrotubuläres Cytoskelett. Einige Funktionen dieses Cytoskeletts sind relativ stark konserviert, andere dagegen scheinen sehr pflanzenspezifisch zu sein. Dies betrifft insbesondere charakteristische mikrotubuläre Netzwerke, die bei der Neubildung und der Verstärkung der Zellwände wichtige Rollen übernehmen. Wie der Aufbau dieser Netzwerke kontrolliert wird, ist bisher relativ unklar. Typische Mikrotubuli organisierende Zentren (MTOC), insbesondere Centrosomen oder Spindelpolkörper, sind bei höheren Pflanzen nicht beobachtet worden. Von pilzlichen und tierischen Organismen weiß man, dass gamma-Tubulin (gTUB) mit seinen assoziierten Proteinen in den MTOC bei der Nukleation von Mikrotubuli eine Schlüsselfunktion hat. Dieses Mitglied der Tubulin-Superfamilie wird aber auch in Pflanzen gefunden, dessen genaue Funktion bisher unbekannt ist. Zu Beginn der Arbeit wurden mittels in silico Berechnungen Strukturmodelle des pflanzlichen gTUBs aus Nicotiana tabacum erarbeitet, da die Struktur, die zu einem Verständnis der pflanzlichen Wachstumsregulation beitragen könnte, bisher unbekannt ist. Auf Grundlage der bioinformatischen Daten konnte für weitere Studien eine notwendige gTUB-Deletionsmutante entwickelt werden. Für Röntgendiffraktionsstudien und gTUB-Interaktionspartneranalysen war die Verfügbarkeit verhältnismäßig großer Proteinmengen notwendig. Die Expression der gTUB-Volllängensequenz in gelöster und aktiver Form stellte einen immanent wichtigen Zwischenschritt dar. Das Escherichia coli T7/lacO-Expressionssystem lieferte, trotz vielversprechender Erfolge in der Vergangenheit, kein gelöstes rekombinantes gTUB. So wurden zwar verhältnismäßig hohe Expressionsraten erzielt, aber das rekombinante gTUB lag quantitativ als Inclusion bodies vor. Eine Variationen der Expressionsparameter sowie umfangreiche Versuche mittels verschiedenster Konstrukte sowie potentiell die Löslichkeit erhöhenden Tags gTUB in gelöster Form in E. coli zu exprimieren blieben erfolglos. Eine Denaturierung der Inclusion bodies und Rückfaltung wurde aufgrund der wohl bei der Tubulinfaltung notwendigen komplexeren Chaperone sowie thermodynamischer Überlegungen ausgeschlossen. Die höher evolvierte Chaperonausstattung war ein Hauptgrund für die Verwendung der eukaryotischen Hefe-Expressionssysteme K. lactis und des S. cerevisiae-Stammes FGY217 zur gTUB-Expression. So konnten nach der Selektion nur transgene Hefe-Zellen dokumentiert werden, die die gTUB-Expressionskassette nachweislich an der vorgesehenen Zielposition in ihrem Genom integrierten, aber keine dokumentierbare Expression zeigten. Die wahrscheinlichste Begründung hierfür ist, dass ein erhöhter intrazellulärer gTUB-Titer mit dem Zellwachstum und der Zellteilung dieser eukaryotischen Organismen interferierte und durch Rückkopplungen die rekombinante gTUB-CDS aus N. tabacum ausgeschaltet wurde. Der Versuch einer transienten gTUB-Überexpression in differenzierten Blattgeweben höherer Pflanzen war eine logische Konsequenz aus den vorherigen Ergebnissen und lieferte, wenn auch nicht die für eine Proteinkristallisation notwendigen Mengen, gelöstes gTUB. Bestrebungen einer stabilen Transfektion von A. thaliana oder BY-2-Zellkulturen mit einer gTUB-CDS lieferten keine transgenen Organismen, was starke Interferenzen der rekombinanten gTUB-CDS in den Zellen vermuten lies. Transfektionsversuche mit nur GFP tragenden Konstrukten ergaben hingegen eine hohe Anzahl an transgenen Organismen, die auch verhältnismäßig starke Expressionsraten zeigten. Die erzielten Proteinmengen bei der transienten gTUB-Überexpression in N. benthamiana Blattgeweben, in Co-Expression mit dem Posttransriptional Gene Silencing-Suppressorprotein p19, waren für einen Pull-Down sowie eine massenspektroskopische Analyse der Interaktionspartner ausreichend und ergaben Befunde. Eine abschließende Auswertung des erarbeiteten massenspektroskopischen Datensatzes wird jedoch erst dann möglich sein, wenn das Tabak-Proteom vollständig sequenziert ist. Die Erweiterung der bestehenden pflanzlichen Vergleichsdatenbanken um das bisher bekannte Tabak-Proteom vervielfachte die Anzahl der in dieser Studie identifizierten gTUB-Interaktionspartner. Interaktionen mit dem TCP1-Chaperon untermauern die Hypothese der zur Faltung pflanzlichen gTUBs notwendigen Chaperone. Beobachtete gTUB-Degradationsmuster in Verbindung mit Interaktionen des 26S-Proteasoms deuten auf eine Gegenregulationen bei erhöhtem gTUB-Titer auf Proteinebene hin. Da Blattgewebe selbst nur noch über eine sehr geringe und inhomogene Teilungsaktivität verfügen ist diese Regulation hoch spannend. Auch konnte durch Co-Expression des PTGS-Suppressorproteins p19 gezeigt werden, dass bei der gTUB-Expression eine Regulation auf RNA-Ebene erfolgt.

Orthogonal gamma-based expansions for volatility option prices under jump-diffusion dynamics

In my work I derive closed-form pricing formulas for volatility based options by suitably approximating the volatility process risk-neutral density function. I exploit and adapt the idea, which stands behind popular techniques already employed in the context of equity options such as Edgeworth and Gram-Charlier expansions, of approximating the underlying process as a sum of some particular polynomials weighted by a kernel, which is typically a Gaussian distribution. I propose instead a Gamma kernel to adapt the methodology to the context of volatility options. VIX vanilla options closed-form pricing formulas are derived and their accuracy is tested for the Heston model (1993) as well as for the jump-diffusion SVJJ model proposed by Duffie et al. (2000).