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The analysis of real data by means of statistical methods with the aid of a software package common in industry and administration usually is not an integral part of mathematics studies, but it will certainly be part of a future professional work. The present book links up elements from time series analysis with a selection of statistical procedures used in general practice including the statistical software package SAS Statistical Analysis System). Consequently this book addresses students of statistics as well as students of other branches such as economics, demography and engineering, where lectures on statistics belong to their academic training. But it is also intended for the practician who, beyond the use of statistical tools, is interested in their mathematical background. Numerous problems illustrate the applicability of the presented statistical procedures, where SAS gives the solutions. The programs used are explicitly listed and explained. No previous experience is expected neither in SAS nor in a special computer system so that a short training period is guaranteed. This book is meant for a two semester course (lecture, seminar or practical training) where the first two chapters can be dealt with in the first semester. They provide the principal components of the analysis of a time series in the time domain. Chapters 3, 4 and 5 deal with its analysis in the frequency domain and can be worked through in the second term. In order to understand the mathematical background some terms are useful such as convergence in distribution, stochastic convergence, maximum likelihood estimator as well as a basic knowledge of the test theory, so that work on the book can start after an introductory lecture on stochastics. Each chapter includes exercises. An exhaustive treatment is recommended. This book is consecutively subdivided in a statistical part and an SAS-specific part. For better clearness the SAS-specific part, including the diagrams generated with SAS, always starts with a computer symbol, representing the beginning of a session at the computer, and ends with a printer symbol for the end of this session. This book is an open source project under the GNU Free Documentation License.
The generation of high harmonics is an ideal method to convert frequencies of the infrared- or visible range into the soft x-ray range. This process demands high laser intensities that are nowadays supplied by femtosecond laser systems. As the temporal and spatial coherence properties of the laser are transferred during the conversion process, the generated high harmonics will propagate as a beam with high peak-brightness. Under ideal conditions the generation of soft-x-ray pulses shorter than one femtosecond is possible. These properties are exploited in many applications like time-resolved x-ray spectroscopy. The topic of this thesis is the generation and optimization of high harmonics. A variety of conversion setups is investigated (jet of noble gas atoms, gas-filled hollow-fiber, water microdroplets) and theoretical models present ideas to further enhance the conversion efficiency (using excited atoms or aligned molecules). In different setups the peak intensity of the fundamental laser pulses is increased by spectral broadening and subsequent temporal compression. This is achieved with the help of pulse shaping devices that can modify the spectral phase and therefore also the temporal intensity distribution of laser pulses. These pulse shaping devices are controlled by an evolutionary algorithm. With this setup not only adaptive compression of laser pulses is possible, but also the engineering of specific laser pulse shapes to optimize an experimental output. This setup was used to influence the process of high harmonic generation. It is demonstrated that the spectral distribution of the generated soft-x-ray radiation can be controlled by temporal pulse shaping. This method to tailor high harmonics is complemented by spatial shaping techniques. These findings demonstrate the realization of a tunable source of soft-x-ray radiation.
In this thesis affine-scaling-methods for two different types of mathematical problems are considered. The first type of problems are nonlinear optimization problems subject to bound constraints. A class of new affine-scaling Newton-type methods is introduced. The methods are shown to be locally quadratically convergent without assuming strict complementarity of the solution. The new methods differ from previous ones mainly in the choice of the scaling matrix. The second type of problems are semismooth system of equations with bound constraints. A new affine-scaling trust-region method for these problems is developed. The method is shown to have strong global and local convergence properties under suitable assumptions. Numerical results are presented for a number of problems arising from different areas.
Amphibian communities of the dry forest of Western Madagascar : taxonomy, ecology and conservation
(2006)
The amphibian fauna of the Kirindy dry forest in western Madagascar Abstracts of chapter 5 and 6 Living apart together – patterns of tadpole communities in a western Madagascan dry forest Whether communities are established in a deterministic or in a stochastic manner depends to a large degree on the spatial scale considered. In this study we use a tadpole community in the dry forest of western Madagascar to show that when within-site habitat diversity is considered, communities may also differ in two community parameters (species composition and species richness) within one geographic scale. Forest ponds and riverbed ponds are two types of breeding habitat that are both used by anurans but that differ generally in their temporal availability, predation pressure, and environmental characteristics. In forest ponds, tadpole communities were very predictable by the physical properties of the ponds and by their vegetation characteristics. In contrast, the riverbed communities were not predictable. We offer two hypotheses to explain this phenomenon. This study clearly demonstrates differing patterns in community organization in two natural habitats within one site, and therefore, highlights the importance of considering local conditions and within-site habitat diversity in community studies. Modeling the habitat use of an endangered dry-forest frog from Western Madagascar A crucial factor for the successful reproduction and thus conservation of an amphibian species is the availability of suitable waters as breeding sites. In this chapter, we examine the use of breeding sites of an endangered, local endemic frog of Western Madagascar, Aglyptodactylus laticeps, over a three year period. Logistic regression was used to model the relationship between the species’ breeding habitat use and environmental variables. This model was aimed to be predictive, rather than explanatory, and only environmental variables were included that are assessable in a time and cost effective manner, and that can therefore be used as an easy-to-use management tool in applied conservation. On the local scale of the Kirindy concession, A. laticeps is restricted to forest with a relatively low degree of disturbance and closed canopy cover. The model identified three environmental variables that suffice to satisfactorily predict the use of respective breeding sites, namely leaf litter, vegetation coverage and surface water plants. Based on these results, we present recommendations for the conservation management of this frog. Furthermore, the presence or absence of this species within its natural range indicates the relative degree of environmental integrity of its habitat, and we therefore consider this species as a suitable indicator species of temporary aquatic habitats within the dry forest that are characterized by a low water permanency and high leaf litter coverage. This study demonstrates that models constructed from basic ecological knowledge of relevant species may serve as valuable management tools in applied conservation.
The obligate intracellular gram-negative bacterium, Chlamydophila pneumoniae (Cpn), has a significant impact as an acute and chronic disease-causing pathogen. Its potential to undergo persistent infections has been linked to chronic diseases. Several in vitro cell culture models are used to study persistent conditions, mainly IFN_ stimulation, treatment with antibiotics and iron depletion. Little is known about changes in the Cpn transcriptome during the acute and persistent infection. Therefore, the Cpn transcriptome during its acute developmental cycle and iron depletion-mediated persistence was examined in this study. Based on expression profiles, genes with similar expression changes formed 12 clusters using the self-organizing map algorithm. While other studies define genes based on their onset of transcription, here the important feature for clustering was the expression profile. This turned out to be more appropriate for comparing the time specific relevance of a certain cluster of genes to their proposed functions in the cycle. The Cpn clusters were grouped into the 'Early', 'Mid' and 'Late' classes as described for Ctr. Additionally, a new gene expression class containing genes with steadily increasing expression at the end of the developmental cycle was defined and termed 'Tardy' class. Comparison of the Cpn clusters to published proteomics data showed that genes encoding elementary body (EB) proteins peaked in the 'Late' gene cluster. This indicated that genes of the ‘Late’ and ‘Tardy’ class have different roles in RB to EB re-differentiation. Moreover, using lexical comparison the EB mRNA profile was significantly linked to the ‘Tardy’ cluster class. This provided evidence that initial translation in the cycle might be directed from stable transcripts present in the infectious EB form. Based on these criteria the novel ‘Tardy’ class was separated from the ‘Late’ class. The gene ontologies were used to identify specific pathways and physiological functions active during the different phases of development. Additionally, the transcriptome of Cpn in the persistent stage was compared to that of the acute developmental cycle. The Cpn transcriptome was altered in the iron-depletion mediated persistence. Genes upregulated were linked to clusters at the beginning of the developmental cycle, and genes down-regulated were linked to clusters at the end of the developmental cycle. These data provided strong evidence that the Cpn transcriptome during persistence is a gene expression arrest in mid-development. In early acute infection convergently or divergently oriented gene pairs preferentially had an antagonistic expression profile, whereas tandemly oriented gene pairs showed a correlated expression profile. This suggests that the Cpn genome is organized mainly in tandemly arranged operons and in convergently or divergently oriented genes with favored antagonistic profiles. The microarray studies done with the Cpn strain CWL029 also showed expression signals for several genes annotated only for the Cpn strains AR39 and J138. BLAST comparison verified that these genes are also coded in the CWL029 genome. Several of these genes were convergently arranged with their neighboring gene and shared overlapping genome information. Among these were parB, involved in DNA segregation and rpsD, an alternative sigma factor responsible for the transcription at late stages of the developmental cycle. Both genes have been described to have major roles in the chlamydial cycle. These genes had an antagonistic expression profile at the beginning of the acute developmental cycle and in persistence, as described before to be predominant for convergently oriented genes. Real time RT-PCR analysis showed that full-length rpsD mRNA transcripts were down-regulated, whereas short-length rpsD mRNA transcripts were up-regulated during the persistent infection. This demonstrated that the rpsD promoter is activated during the persistent infection and that because of the collision of the RNA polymerases full length transcripts were down-regulated. This sigma factor-independent mechanism is known as ‘Transcriptional Interference’. This is the first description on how the alternative sigma factor rpsD might be down-regulated during persistent infections. Finally, the host cell transcriptome was analyzed in the acute and persistent infection mediated by the depletion of iron. Cpn infection triggered the upregulation of relB, involved in an alternative NF-KB signaling pathway. Several genes coding for cell cycle proteins were triggered, including cyclin G2 and cyclin D1 and inhibitors of CDK4. Taken together, this work provides insights into the modulation of the pathogen and the host transcriptome during the acute infection and the iron mediated persistent infection.
Summary Timber harvesting is currently the most common commercial utilisation activity in tropical forests. Assessing the effects of logging on different aspects of biodiversity and general ecosystem properties is hence of prime importance if the few remaining areas of intact tropical forest are to be protected effectively and efficiently. Tropical amphibian communities are an appropriate model system for studies on the impacts of human-induced environmental changes on the dynamics of complex biological systems. This thesis elaborates on patterns of diversity changes in tropical forest amphibian communities facing habitat alterations associated with selective logging in two globally important eco-regions (Côte d’Ivoire, Upper Guinea, West Africa and Guyana, the Guiana Shield, northern South America). The thesis is organised along two main themes. After a general introduction, a section on general methodology and an introduction to the model systems studied, the first theme moves from general patterns to underlying processes. A second theme running through both chapters carries from undisturbed systems to disturbed systems. A final section integrates findings and addresses implications for conservation management of anthropogenically altered tropical forests. Several case studies at the species- population and community level are being presented and data on the direct and indirect impacts of anthropogenic habitat alteration on respective organizational levels are provided. A key statement that is stressed on throughout the studies is the fact that common measures of diversity, such as species richness and species-diversity only inadequately reflect processes of diversity change following anthropogenic disturbance. They also fail to describe actual impacts on the dynamics of complex biological systems. It is argued that commonly used measures produce an incoherent and insufficient picture of diversity patterns and the underlying processes that shape these patterns. Thus, an understanding of higher levels of diversity, such as β-diversity and functional diversity (and hence compositional patterns) appears to be the key to effectively mitigating the impacts of human-induced disturbance on amphibian communities. It is shown that the predictability of amphibian community composition depends on the respective level of anthropogenic disturbance imposed on a particular habitat. Hence, human activities that lead to changes in the structure of a forest, such as logging, not only alter simple system descriptors, such as the number of species in a given community, but rather alter the dynamics of the entire system. In this context, functional diversity is shown to be an important aspect underlying the actual mechanism that leads to the observed change of predictability patterns. Functional differences between species, rather than number of species per se appear to be the decisive factor in sustaining desirable ecosystem states and thus in maintaining important ecosystem services. Because biological diversity appears to play a substantial role in ecosystem resilience required to safeguard essential ecosystem functions in the face of environmental change, the thesis calls for a critical revision of common diversity assessments approaches. The studies advocate the reconsideration of the uncritical use of widespread measures and descriptors of biodiversity on grounds of inconsistent patterns found throughout numerous studies, including those presented herein.
Solid organ transplantation is an established therapeutic approach in modern medicine to extend and to improve the life of patients in the final stages of organ failure. Transplantation between genetically non-identical individuals leads to the activation of the transplant recipient's immune system. This alloimmune response is a consequence of the recognition of foreign MHC molecules by alloreactive host T cells. To prevent their activation and the subsequently induced activation of further cell subsets (e.g. B cells, cytotoxic T cells, macrophages)immunosuppressive drugs are absolutely necessary in the clinic. However,permanent immunosuppression leads to severe side effects such as nephrotoxicity, diabetes and hyperlipidaemia, and a reduced immunity to infections and malignant diseases. At the moment, there is no real alternative to immunosuppression. The purpose of this study was to analyse the importance of rat dendritic cells with immune inhibitory properties to prevent the immune activation after experimental transplantation. The rat is one of the most important animal models for experimental organ transplantation in a clinic-relevant procedure. In order to modulate the immune response after transplantation in an antigenspecific manner, the strategy should include the alloantigens. These antigens have to be presented by immature dendritic cells in the absence of costimulatory signals in order to turn alloreactive T cells into anergic or regulatory T cells instead of effector T cells. For a certain rat model of allograft rejection,the immunodominant peptide P1 was identified as an important alloantigen which accelerates graft rejection. Such a model offers an attractive and practical approach to analyse the potential of host tolerogeneic dendritic cells pulsed with P1 to suppress the allograft-induced immune response in an antigen-specific manner without the need of chronic immunosuppression. A homogenous population of rat immature dendritic cells was generated from bone marrow precursors cultured with GM-CSF and IL-4 (= IL-4 DCs) or GM65 CSF and IL-10 (= IL-10 DCs). These cells with an identical immature phenotype showed no or a very low surface expression of costimulatory molecules like CD80 and CD86 and a 10-fold reduced expression of MHC class II molecules in comparison to mature splenic DCs. No obvious difference was observed between the phenotype of the IL-4 DCs and the IL-10 DCs. Neither IL-4 DCs nor IL-10 DCs were able to activate naïve T cells or to restimulate antigen-specific T cells. This strong inhibitory effect, mediated within 24 hours, was dependent on the number of immature dendritic cells added to the proliferation assay. Antigen-specific T cells pre-incubated with IL-4 DCs and IL-10 DCs, respectively, were not able to proliferate in the presence of P1-pulsed mature DCs. This anergic state was reversible with the addition of exogenous IL-2. T cells incubated with IL-4 DCs (= IL-4 DC-Ts) were able to inhibit the T cell proliferation in a cell number dependent manner. In contrast, antigen-specific T cells pre-incubated with P1-pulsed IL-10 DCs (= IL-10 DC-Ts)showed no effect on the proliferation assay. This was the unique difference between IL-4 DCs and IL-10 DCs found in the present study. Immature DCs influenced also the immune response after transplantation. Different numbers of P1-loaded immature IL-4 DCs and IL-10 DCs were transferred intravenously into Lewis rats one day before transplantation. The best results were obtained with 30 million P1-pulsed immature DCs which prolonged the survival time to a median of 11.2 ± 1.6 days. In addition, the antigen specificity of this effect was demonstrated with a third-party graft from Brown Norway donors. These findings suggest that an antigen-specific modulation of the immune response is possible using immature dendritic cells loaded with the allogeneic antigens. Even more, the protocols described in the present study show that the immune system can be, at least temporarily, controlled after transplantation without the use of immunosuppressive drugs.
Clonality analysis in B-Cell Chronic Lymphocytic Leukemia (B-CLL) associated with Richter's syndrome
(2006)
B-cell chronic lymphocytic leukemia (B-CLL) comprises 90% of chronic lymphoid leukemias in Western countries and patients with B-CLL have a heterogeneous clinical course. Approximately 3-5% of B-CLL patients encounter transformation to an aggressive lymphoma, mainly diffuse large B-cell lymphoma (DLBCL) or Hodgkin’s lymphoma (HL) which has been defined as Richter’s syndrome and is associated with a poor clinical outcome. The mutational status of the immunoglobulin heavy chain variable region (IgVH) gene not only implies the developmental stage at which the neoplastic transformation occurs in a given B-cell lymphoma, but also constitutes an important prognostic factor in B-CLL, since B-CLL patients with unmutated IgVH genes usually have a poor clinical outcome. Sparse molecular analyses performed in Richter’s syndrome so far suggest that it can occur in B-CLL patients carrying mutated or unmutated IgVH genes, and tumor cells in DLBCL or HL can be clonally identical to the B-CLL clone or arise as an independent, secondary lymphoma. To determine the clonal relationship between DLBCL or Hodgkin/Reed-Sternberg (HRS) cells and pre-existing B-CLL cells in a larger series, to identify the IgVH gene usage and the mutational status and to explore possible prognostic factors in B-CLL undergoing Richter’s transformation, we utilized a PCR-based GeneScan approach with subsequent sequencing of the IgVH genes. In cases with HRS/HRS-like cells laser capture microdissection (LCM) was employed to isolate these cells. In addition, a thorough morphological and immunohistochemical analysis was performed. In total, specimens from 48 patients were investigated including 40 cases of Richter’s syndrome and additional 8 cases of B-CLL cases with the presence of CD30-positive HRS-like cells. Among 40 cases of Richter’s syndrome, 34 B-CLL cases showed transformation to DLBCL and 6 cases transformed from B-CLL to HL. Sequencing was performed in 23 paired B-CLL and DLBCL cases. In 18 cases, B-CLL and DLBCL were clonally identical, whereas DLBCL developed as a clonally independent neoplasm in 5 patients. Among the clonally related pairs, 11 out of 15 cases carried unmutated IgVH genes in both the B-CLL and DLBCL component, whereas 5 of 6 B-CLL cases that showed transformation to HL carried mutated IgVH genes. HRS cells in two samples and HRS-like cells in one sample were clonally distinct from the B-CLL clone and infected by EBV, whereas one sample of HRS-like cells was related to the clone from the surrounding B-CLL cells and did not express latent membrane protein-1 (LMP1). The VH genes VH3-23, VH3-74, VH1-2 and VH3-9 were overused in B-CLL cases that transformed to DLBCL, whereas VH4-34 and VH3-48 were used in over half of the B-CLL cases with transformation to HL. Immunohistochemical staining of ZAP70 was significantly associated with unmutated IgVH genes in B-CLL cases undergoing Richter’s transformation. Clinical follow-up data could be obtained from 24 patients. The median survival times of B-CLL patients with transformation to DLBCL or HL were 7 and 21 months, respectively. No significantly different survival times were found between clonally related or unrelated cases, or between IgVH-mutated or -unmutated cases. We conclude that in Richter’s transformation, DLBCL can evolve by clonal transformation of the pre-existing B-CLL clone or occur as an independent, clonally unrelated neoplasm. In the majority of cases (78% in our series), B-CLL and DLBCL are clonally identical. In a subset of patients, however, DLBCL develops as an independent secondary neoplasm that is not clonally related to the B-CLL. Clonal transformation into DLBCL predominantly occurs in B-CLL patients with unmutated IgVH genes, whereas most B-CLL patients that show transformation to HL or CD30-positive HRS-like cells carry mutated IgVH genes. The tendency that IgVH-unmutated B-CLL transforms to DLBCL and IgVH-mutated B-CLL transforms to HL implies different transformation pathways in the two subtypes of Richter’s syndrome. In addition, important pathogenetic differences are likely to exist between DLBCL cases derived from a pre-existing B-CLL as compared to de novo DLBCL cases, since de novo DLBCL is usually characterized by mutated IgVH genes. The biased usage of IgVH genes in the two subtypes of Richter’s syndrome suggests a possible role for antigen involvement in tumorigenesis also in B-CLL cases that undergo Richter’s transformation. Finally, EBV-association in the HL variant of Richter’s syndrome occurs more frequently in clonally unrelated secondary malignancies.
In this century new experimental and computational techniques are adding an enormous amount of information, revealing many biological mysteries. The complexities of biological systems still broach new questions. Till now the main approach to understand a system has been to divide it in components that can be studied. The upcoming new paradigm is to combine the pieces of information in order to understand it at a global level. In the present thesis we have tried to study infectious diseases with such a global ‘Systems Biology’ approach. In the first part the apoptosis pathway is analyzed. Apoptosis (Programmed cell death) is used as a counter measure in different infections, for example viral infections. The interactions between death domain containing proteins are studied to address the following questions: i) How specificity is maintained - showing that it is induced through adaptors, ii) how proliferation/ survival signals are induced during activation of apoptosis – suggesting the pivotal role of RIP. The model also allowed us to detect new possible interacting surfaces. The pathway is then studied at a global level in a time step simulation to understand the evolution of the topology of activators and inhibitors of the pathway. Signal processing is further modeled in detail for the apoptosis pathway in M. musculus to predict the concentration time course of effector caspases. Further, experimental measurements of caspase-3 and viability of cells validate the model. The second part focuses on the phagosome, an organelle which plays an essential role in removal of pathogens as exemplified by M. tuberculosis. Again the problem is addressed in two main sections: i) To understanding the processes that are inhibited by M. tuberculosis; we focused on the phospholipid network applying a time step simulation in section one, which plays an important role in inhibition or activation of actin polymerization on the phagosome membrane. ii) Furthermore, actin polymers are suggested to play a role in the fusion of the phagosome with lysosome. To check this hypothesis an in silico model was developed; we find that the search time is reduced by 5 fold in the presence of actin polymers. Further the effect of length of actin polymers, dimensions of lysosome, phagosome and other model parameter is analyzed. After studying a pathway and then an organelle, the next step was to move to the system. This was exemplified by the host pathogen interactions between Bordetella pertussis and Bordetella bronchiseptica. The limited availability of quantitative information was the crucial factor behind the choice of the model type. A Boolean model was developed which was used for a dynamic simulation. The results predict important factors playing a role in Bordetella pathology especially the importance of Th1 related responses and not Th2 related responses in the clearance of the pathogen. Some of the quantitative predictions have been counterchecked by experimental results such as the time course of infection in different mutants and wild type mice. All these computational models have been developed in presence of limited kinetic data. The success of these models has been validated by comparison with experimental observations. Comparative models studied in chapters 6 and 9 can be used to explore new host pathogen interactions. For example in chapter 6, the analysis of inhibitors and inhibitory paths in three organism leads to the identification of regulatory hotspots in complex organisms and in chapter 9 the identification of three phases in B. bronchiseptica and inhibition of IFN-γ by TTSS lead us to explore similar phases and inhibition of IFN-γ in B. pertussis. Further an important significance of these models is to identify new components playing an essential role in host-pathogen interactions. In silico deletions can point out such components which can be further analyzed by experimental mutations.
In this work we utilized Density Functional Theory to calculate EPR parameters and spin-density distributions of several transition metal complexes. To demonstrate the performance of our theoretical approach several validation studies were performed (Chapters 3-5). In contrast, the last three chapters of the thesis deal with specific chemical problems regarding several classes of biologically relevant transition metal complexes.