Convex-transitive Banach spaces and their hyperplanes

The topic of this dissertation is the geometric and isometric theory of Banach spaces. This work is motivated by the known Banach-Mazur rotation problem, which asks whether each transitive separable Banach space is isometrically a Hilbert space. A Banach space X is said to be transitive if the isometry group of X acts transitively on the unit sphere of X. In fact, some weaker symmetry conditions than transitivity are studied in the dissertation. One such condition is an almost isometric version of transitivity. Another investigated condition is convex-transitivity, which requires that the closed convex hull of the orbit of any point of the unit sphere under the rotation group is the whole unit ball. Following the tradition developed around the rotation problem, some contemporary problems are studied. Namely, we attempt to characterize Hilbert spaces by using convex-transitivity together with the existence of a 1-dimensional bicontractive projection on the space, and some mild geometric assumptions. The convex-transitivity of some vector-valued function spaces is studied as well. The thesis also touches convex-transitivity of Banach lattices and resembling geometric cases.

Nephrin and the Pathogenesis of Nephropathy - Emphasis on Type I Diabetes

End-stage renal disease is an increasingly common pathologic condition, with a current incidence of 87 per million inhabitants in Finland. It is the end point of various nephropathies, most common of which is the diabetic nephropathy. This thesis focuses on exploring the role of nephrin in the pathogenesis of diabetic nephropathy. Nephrin is a protein of the glomerular epithelial cell, or podocyte, and it appears to have a crucial function as a component of the filtration slit diaphragm in the kidney glomeruli. Mutations in the nephrin gene NPHS1 lead to massive proteinuria. Along with the originally described location in the podocyte, nephrin has now been found to be expressed in the brain, testis, placenta and pancreatic beta cells. In type 1 diabetes, the fundamental pathologic event is the autoimmune destruction of the beta cells. Autoantibodies against various beta cell antigens are generated during this process. Due to the location of nephrin in the beta cell, we hypothesized that patients with type 1 diabetes may present with nephrin autoantibodies. We also wanted to test whether such autoantibodies could be involved in the pathogenesis of diabetic nephropathy. The puromycin aminonucleoside nephrosis model in the rat, the streptozotocin model in the rat, and the non-obese diabetic mice were studied by immunochemical techniques, in situ -hybridization and the polymerase chain reaction -based methods to resolve the expression of nephrin mRNA and protein in experimental nephropathies. To test the effect of antiproteinuric therapies, streptozotocin-treated rats were also treated with aminoguanidine or perindopril. To detect nephrin antibodies we developed a radioimmunoprecipitation assay and analyzed follow-up material of 66 patients with type 1 diabetes. In the puromycin aminonucleoside nephrosis model, the nephrin expression level was uniformly decreased together with the appearance of proteinuria. In the streptozotocin-treated rats and in non-obese diabetic mice, the nephrin mRNA and protein expression levels were seen to increase in the early stages of nephropathy. However, as observed in the streptozotocin rats, in prolonged diabetic nephropathy the expression level decreased. We also found out that treatment with perindopril could not only prevent proteinuria but also a decrease in nephrin expression in streptozotocin-treated rats. Aminoguanidine did not have an effect on nephrin expression, although it could attenuate the proteinuria. Circulating antibodies to nephrin in patients with type 1 diabetes were found, although there was no correlation with the development of diabetic nephropathy. At diagnosis, 24% of the patients had these antibodies, while at 2, 5 and 10 years of disease duration the respective proportions were 23%, 14% and 18%. During the total follow-up of 16 to 19 years after diagnosis of diabetes, 14 patients had signs of nephropathy and 29% of them tested positive for nephrin autoantibodies in at least one sample. In conclusion, this thesis work could show changes of nephrin expression along with the development of proteinuria. The autoantibodies against nephrin are likely generated in the autoimmune process leading to type 1 diabetes. However, according to the present work it is unlikely that these autoantibodies are contributing significantly to the development of diabetic nephropathy.

Atomic Layer Deposition of Electroluminescent ZnS, SrS, and BaS Thin Films

The light emitted by flat panel displays (FPD) can be generated in many different ways, such as for example alternating current thin film electroluminescence (ACTFEL), liquid crystal display (LCD), light emitting diode (LED), or plasma display panel (PDP) technologies. In this work, the focus was on ACTFEL devices and the goal was to develop new thin film processes for light emitting materials in ACTFEL devices. The films were deposited with the atomic layer deposition (ALD) method, which has been utilized in the manufacturing of ACTFEL displays since the mid-1980s. The ALD method is based on surface-controlled self-terminated reactions and a maximum of one layer of the desired material can be prepared during one deposition cycle. Therefore, the film thickness can be controlled simply by adjusting the number of deposition cycles. In addition, both large areas and deep trench structures can be covered uniformly. During this work, new ALD processes were developed for the following thin film materials: BaS, CuxS, MnS, PbS, SrS, SrSe, SrTe, SrS1-xSex, ZnS, and ZnS1-xSex. In addition, several ACTFEL devices were prepared where the light emitting material was BaS, SrS, SrS1-xSex, ZnS, or ZnS1-xSex thin film that was doped with Ce, Cu, Eu, Mn, or Pb. The sulfoselenide films were made by substituting the elemental selenium for sulfur on the substrate surface during film deposition. In this way, it was possible to replace a maximum of 90% of the sulfur with selenium, and the XRD analyses indicated that the films were solid solutions. The polycrystalline BaS, SrS, and ZnS thin films were deposited at 180-400, 120-460, and 280-500 °C, respectively, and the processes had a wide temperature range where the growth rate of the films was independent of the deposition temperature. The electroluminescence studies showed that the doped sulfoselenide films resulted in low emission intensity. However, the emission intensities and emission colors of the doped SrS, BaS, and ZnS films were comparable with those found in earlier studies. It was also shown that the electro-optical properties of the different ZnS:Mn devices were different as a consequence of different ZnS:Mn processes. Finally, it was concluded that because the higher deposition temperature seemed to result in a higher emission intensity, the thermal stability of the reactants has a significant role when the light emitting materials of ACTFEL devices are deposited with the ALD method.

Aspects of atomic decompositions and Bergman projections

The concept of an atomic decomposition was introduced by Coifman and Rochberg (1980) for weighted Bergman spaces on the unit disk. By the Riemann mapping theorem, functions in every simply connected domain in the complex plane have an atomic decomposition. However, a decomposition resulting from a conformal mapping of the unit disk tends to be very implicit and often lacks a clear connection to the geometry of the domain that it has been mapped into. The lattice of points, where the atoms of the decomposition are evaluated, usually follows the geometry of the original domain, but after mapping the domain into another this connection is easily lost and the layout of points becomes seemingly random. In the first article we construct an atomic decomposition directly on a weighted Bergman space on a class of regulated, simply connected domains. The construction uses the geometric properties of the regulated domain, but does not explicitly involve any conformal Riemann map from the unit disk. It is known that the Bergman projection is not bounded on the space L-infinity of bounded measurable functions. Taskinen (2004) introduced the locally convex spaces LV-infinity consisting of measurable and HV-infinity of analytic functions on the unit disk with the latter being a closed subspace of the former. They have the property that the Bergman projection is continuous from LV-infinity onto HV-infinity and, in some sense, the space HV-infinity is the smallest possible substitute to the space H-infinity of analytic functions. In the second article we extend the above result to a smoothly bounded strictly pseudoconvex domain. Here the related reproducing kernels are usually not known explicitly, and thus the proof of continuity of the Bergman projection is based on generalised Forelli-Rudin estimates instead of integral representations. The minimality of the space LV-infinity is shown by using peaking functions first constructed by Bell (1981). Taskinen (2003) showed that on the unit disk the space HV-infinity admits an atomic decomposition. This result is generalised in the third article by constructing an atomic decomposition for the space HV-infinity on a smoothly bounded strictly pseudoconvex domain. In this case every function can be presented as a linear combination of atoms such that the coefficient sequence belongs to a suitable Köthe co-echelon space.

Aspects of Arminian Soteriology in Methodist-Lutheran Ecumenical Dialogues in 20th and 21st Century

The aim of this thesis is to analyse the key ecumenical dialogues between Methodists and Lutherans from the perspective of Arminian soteriology and Methodist theology in general. The primary research question is defined as: "To what extent do the dialogues under analysis relate to Arminian soteriology?" By seeking an answer to this question, new knowledge is sought on the current soteriological position of the Methodist-Lutheran dialogues, the contemporary Methodist theology and the commonalities between the Lutheran and Arminian understanding of soteriology. This way the soteriological picture of the Methodist-Lutheran discussions is clarified. The dialogues under analysis were selected on the basis of versatility. Firstly, the sole world organisation level dialogue was chosen: The Church – Community of Grace. Additionally, the document World Methodist Council and the Joint Declaration on the Doctrine of Justification is analysed as a supporting document. Secondly, a document concerning the discussions between two main-line churches in the United States of America was selected: Confessing Our Faith Together. Thirdly, two dialogues between non-main-line Methodist churches and main-line Lutheran national churches in Europe were chosen: Fellowship of Grace from Norway and Kristuksesta osalliset from Finland. The theoretical approach to the research conducted in this thesis is systematic analysis. The Remonstrant articles of Arminian soteriology are utilised as an analysis tool to examine the soteriological positions of the dialogues. New knowledge is sought by analysing the stances of the dialogues concerning the doctrines of partial depravity, conditional election, universal atonement, resistible grace and conditional perseverance of saints. This way information is also provided for approaching the Calvinist-Arminian controversy from new perspectives. The results of this thesis show that the current soteriological position of the Methodist-Lutheran dialogues is closer to Arminianism than Calvinism. The dialogues relate to Arminian soteriology especially concerning the doctrines of universal atonement, resistible grace and conditional perseverance of saints. The commonalities between the Lutheran and Arminian understanding of soteriology exist mainly in these three doctrines as they are uniformly favoured in the dialogues. The most discussed area of soteriology is human depravity, in which the largest diversity of stances occurs as well. On the other hand, divine election is the least discussed topic. The overall perspective, which the results of the analysis provide, indicates that the Lutherans could approach the Calvinist churches together with the Methodists with a wider theological perspective and understanding when the soteriological issues are considered as principal. Human depravity is discovered as the area of soteriology which requires most work in future ecumenical dialogues. However, the detected Lutheran hybrid notion on depravity (a Calvinist-Arminian mixture) appears to provide a useful new perspective for Calvinist-Arminian ecumenism and offers potentially fruitful considerations to future ecumenical dialogues.

Effects of environmental variation on ecological and evolutionary dynamics

Environmental variation is a fact of life for all the species on earth: for any population of any particular species, the local environmental conditions are liable to vary in both time and space. In today's world, anthropogenic activity is causing habitat loss and fragmentation for many species, which may profoundly alter the characteristics of environmental variation in remaining habitat. Previous research indicates that, as habitat is lost, the spatial configuration of remaining habitat will increasingly affect the dynamics by which populations are governed. Through the use of mathematical models, this thesis asks how environmental variation interacts with species properties to influence population dynamics, local adaptation, and dispersal evolution. More specifically, we couple continuous-time continuous-space stochastic population dynamic models to landscape models. We manipulate environmental variation via parameters such as mean patch size, patch density, and patch longevity. Among other findings, we show that a mixture of high and low quality habitat is commonly better for a population than uniformly mediocre habitat. This conclusion is justified by purely ecological arguments, yet the positive effects of landscape heterogeneity may be enhanced further by local adaptation, and by the evolution of short-ranged dispersal. The predicted evolutionary responses to environmental variation are complex, however, since they involve numerous conflicting factors. We discuss why the species that have high levels of local adaptation within their ranges may not be the same species that benefit from local adaptation during range expansion. We show how habitat loss can lead to either increased or decreased selection for dispersal depending on the type of habitat and the manner in which it is lost. To study the models, we develop a recent analytical method, Perturbation expansion, to enable the incorporation of environmental variation. Within this context, we use two methods to address evolutionary dynamics: Adaptive dynamics, which assumes mutations occur infrequently so that the ecological and evolutionary timescales can be separated, and via Genotype distributions, which assume mutations are more frequent. The two approaches generally lead to similar predictions yet, exceptionally, we show how the evolutionary response of dispersal behaviour to habitat turnover may qualitatively depend on the mutation rate.

Polypore assemblages in boreal old-growth forests, and associated Coleoptera

This thesis examines assemblages of wood-decaying fungi in Finnish old-growth forests, and patterns of species interactions between fruit bodies of wood-rotting Basidiomycetes and associated Coleoptera. The present work is a summary of four original publications and a manuscript, which are based on empirical observations and deal with the prevalence of polypores in old-growth forests, and fungicolous Coleoptera. The study area consists of eleven old-growth, mostly spruce- and pine-dominated, protected forests rich in dead wood in northern and southeastern Finland. Supplementary data on fungus beetle interactions were collected in southern Finland and the Åland Islands. 11251 observations of fruit bodies from 153 polypore species were made in 789 forest compartments. Almost a half of the polypore species demonstrated a distinct northern or southeastern trend of prevalence. Polypores with a northern prevalence profile were in extreme cases totally absent from the Southeast, although almost uniformly present in the North. These were Onnia leporina, Climacocystis borealis, Antrodiella pallasii, Skeletocutis chrysella, Oligoporus parvus, Skeletocutis lilacina, and Junghuhnia collabens. Species with higher prevalence in the southeastern sites were Bjerkandera adusta, Inonotus radiatus, Trichaptum pargamenum, Antrodia macra, and Phellinus punctatus. 198 (86%) species of Finnish polypores were examined for associated Coleoptera. Adult beetles were collected from polypore basidiocarps in the wild, while their larvae were reared to adulthood in the lab. Spatial and temporal parallels between the properties of polypore fruit body and the species composition of Coleoptera in fungus beetle interactions were discussed. New data on the biology of individual species of fungivorous Coleoptera were collected. 116 species (50% of Finnish polypore mycota) were found to host adults and/or larvae of 179 species from 20 Coleoptera families. Many new fungus beetle interactions were found among the 614 species pairs; these included 491 polypore fruit body adult Coleoptera species co-occurrences, and 122 fruit body larva interrelations. 82 (41%) polypore species were neither visited nor colonized by Coleoptera. The total number of polyporicolous beetles in Finland is expected to reach 300 species.

Prognostic molecular factors and algorithms in diffuse large B-cell lymphoma

Diffuse large B-cell lymphoma (DLBCL) is the most common of the non-Hodgkin lymphomas. As DLBCL is characterized by heterogeneous clinical and biological features, its prognosis varies. To date, the International Prognostic Index has been the strongest predictor of outcome for DLBCL patients. However, no biological characters of the disease are taken into account. Gene expression profiling studies have identified two major cell-of-origin phenotypes in DLBCL with different prognoses, the favourable germinal centre B-cell-like (GCB) and the unfavourable activated B-cell-like (ABC) phenotypes. However, results of the prognostic impact of the immunohistochemically defined GCB and non-GCB distinction are controversial. Furthermore, since the addition of the CD20 antibody rituximab to chemotherapy has been established as the standard treatment of DLBCL, all molecular markers need to be evaluated in the post-rituximab era. In this study, we aimed to evaluate the predictive value of immunohistochemically defined cell-of-origin classification in DLBCL patients. The GCB and non-GCB phenotypes were defined according to the Hans algorithm (CD10, BCL6 and MUM1/IRF4) among 90 immunochemotherapy- and 104 chemotherapy-treated DLBCL patients. In the chemotherapy group, we observed a significant difference in survival between GCB and non-GCB patients, with a good and a poor prognosis, respectively. However, in the rituximab group, no prognostic value of the GCB phenotype was observed. Likewise, among 29 high-risk de novo DLBCL patients receiving high-dose chemotherapy and autologous stem cell transplantation, the survival of non-GCB patients was improved, but no difference in outcome was seen between GCB and non-GCB subgroups. Since the results suggested that the Hans algorithm was not applicable in immunochemotherapy-treated DLBCL patients, we aimed to further focus on algorithms based on ABC markers. We examined the modified activated B-cell-like algorithm based (MUM1/IRF4 and FOXP1), as well as a previously reported Muris algorithm (BCL2, CD10 and MUM1/IRF4) among 88 DLBCL patients uniformly treated with immunochemotherapy. Both algorithms distinguished the unfavourable ABC-like subgroup with a significantly inferior failure-free survival relative to the GCB-like DLBCL patients. Similarly, the results of the individual predictive molecular markers transcription factor FOXP1 and anti-apoptotic protein BCL2 have been inconsistent and should be assessed in immunochemotherapy-treated DLBCL patients. The markers were evaluated in a cohort of 117 patients treated with rituximab and chemotherapy. FOXP1 expression could not distinguish between patients, with favourable and those with poor outcomes. In contrast, BCL2-negative DLBCL patients had significantly superior survival relative to BCL2-positive patients. Our results indicate that the immunohistochemically defined cell-of-origin classification in DLBCL has a prognostic impact in the immunochemotherapy era, when the identifying algorithms are based on ABC-associated markers. We also propose that BCL2 negativity is predictive of a favourable outcome. Further investigational efforts are, however, warranted to identify the molecular features of DLBCL that could enable individualized cancer therapy in routine patient care.

Long-term Outcome of DSM-IV Major Depressive Disorder in Psychiatric Care

Much of what we know regarding the long-term course and outcome of major depressive disorder (MDD) is based on studies of mostly inpatient tertiary level cohorts and samples predating the era of the current antidepressants and the use of maintenance therapies. In addition, there is a lack of studies investigating the comprehensive significance of comorbid axis I and II disorders on the outcome of MDD. The present study forms a part of the Vantaa Depression Study (VDS), a regionally representative prospective and naturalistic cohort study of 269 secondary-level care psychiatric out- and inpatients (aged 20-59) with a new episode of DSM-IV MDD, and followed-up up to five years (n=182) with a life-chart and semistructured interviews. The aim was to investigate the long-term outcome of MDD and risk factors for poor recovery, recurrences, suicidal attempts and diagnostic switch to bipolar disorder, and the association of a family history of different psychiatric disorders on the outcome. The effects of comorbid disorders together with various other predictors from different domains on the outcome were comprehensively investigated. According to this study, the long-term outcome of MDD appears to be more variable when its outcome is investigated among modern, community-treated, secondary-care outpatients compared to previous mostly inpatient studies. MDD was also highly recurrent in these settings, but the recurrent episodes seemed shorter, and the outcome was unlikely to be uniformly chronic. Higher severity of MDD predicted significantly the number of recurrences and longer time spent ill. In addition, longer episode duration, comorbid dysthymic disorder, cluster C personality disorders and social phobia predicted a worse outcome. The incidence rate of suicide attempts varied robustly de¬pending on the level of depression, being 21-fold during major depressive episodes (MDEs), and 4-fold during partial remission compared to periods of full remission. Although a history of previous attempts and poor social support also indicated risk, time spent depressed was the central factor determining overall long-term risk. Switch to bipolar disorder occurred mainly to type II, earlier to type I, and more gradually over time to type II. Higher severity of MDD, comorbid social phobia, obsessive compulsive disorder, and cluster B personality disorder features predicted the diagnostic switch. The majority of patients were also likely to have positive family histories not exclusively of mood, but also of other mental disorders. Having a positive family history of severe mental disorders was likely to be clinically associated with a significantly more adverse outcome.

Lightcurve inversion for asteroid spins and shapes

Knowledge of the physical properties of asteroids is crucial in many branches of solar-system research. Knowledge of the spin states and shapes is needed, e.g., for accurate orbit determination and to study the history and evolution of the asteroids. In my thesis, I present new methods for using photometric lightcurves of asteroids in the determination of their spin states and shapes. The convex inversion method makes use of a general polyhedron shape model and provides us at best with an unambiguous spin solution and a convex shape solution that reproduces the main features of the original shape. Deriving information about the non-convex shape features is, in principle, also possible, but usually requires a priori information about the object. Alternatively, a distribution of non-convex solutions, describing the scale of the non-convexities, is also possible to be obtained. Due to insufficient number of absolute observations and inaccurately defined asteroid phase curves, the $c/b$-ratio, i.e., the flatness of the shape model is often somewhat ill-defined. However, especially in the case of elongated objects, the flatness seems to be quite well constrained, even in the case when only relative lightcurves are available. The results prove that it is, contrary to the earlier misbelief, possible to derive shape information from the lightcurve data if a sufficiently wide range of observing geometries is covered by the observations. Along with the more accurate shape models, also the rotational states, i.e., spin vectors and rotation periods, are defined with improved accuracy. The shape solutions obtained so far reveal a population of irregular objects whose most descriptive shape characteristics, however, can be expressed with only a few parameters. Preliminary statistical analyses for the shapes suggests that there are correlations between shape and other physical properties, such as the size, rotation period and taxonomic type of the asteroids. More shape data of, especially, the smallest and largest asteroids, as well as the fast and slow rotators is called for in order to be able to study the statistics more thoroughly.

Optimal Risk Adoption: A Real Options Approach

This study develops a real options approach for analyzing the optimal risk adoption policy in an environment where the adoption means a switch from one stochastic flow representation into another. We establish that increased volatility needs not decelerate investment, as predicted by the standard literature on real options, once the underlying volatility of the state is made endogenous. We prove that for a decision maker with a convex (concave) objective function, increased post-adoption volatility increases (decreases) the expected cumulative present value of the post-adoption profit flow, which consequently decreases (increases) the option value of waiting and, therefore, accelerates (decelerates) current investment.

Aspiration-based utility functions in a planning model for timber flow management.

The study presents a theory of utility models based on aspiration levels, as well as the application of this theory to the planning of timber flow economics. The first part of the study comprises a derivation of the utility-theoretic basis for the application of aspiration levels. Two basic models are dealt with: the additive and the multiplicative. Applied here solely for partial utility functions, aspiration and reservation levels are interpreted as defining piecewisely linear functions. The standpoint of the choices of the decision-maker is emphasized by the use of indifference curves. The second part of the study introduces a model for the management of timber flows. The model is based on the assumption that the decision-maker is willing to specify a shape of income flow which is different from that of the capital-theoretic optimum. The utility model comprises four aspiration-based compound utility functions. The theory and the flow model are tested numerically by computations covering three forest holdings. The results show that the additive model is sensitive even to slight changes in relative importances and aspiration levels. This applies particularly to nearly linear production possibility boundaries of monetary variables. The multiplicative model, on the other hand, is stable because it generates strictly convex indifference curves. Due to a higher marginal rate of substitution, the multiplicative model implies a stronger dependence on forest management than the additive function. For income trajectory optimization, a method utilizing an income trajectory index is more efficient than one based on the use of aspiration levels per management period. Smooth trajectories can be attained by squaring the deviations of the feasible trajectories from the desired one.