Homogeneous model theory of metric structures

This thesis studies homogeneous classes of complete metric spaces. Over the past few decades model theory has been extended to cover a variety of nonelementary frameworks. Shelah introduced the abstact elementary classes (AEC) in the 1980s as a common framework for the study of nonelementary classes. Another direction of extension has been the development of model theory for metric structures. This thesis takes a step in the direction of combining these two by introducing an AEC-like setting for studying metric structures. To find balance between generality and the possibility to develop stability theoretic tools, we work in a homogeneous context, thus extending the usual compact approach. The homogeneous context enables the application of stability theoretic tools developed in discrete homogeneous model theory. Using these we prove categoricity transfer theorems for homogeneous metric structures with respect to isometric isomorphisms. We also show how generalized isomorphisms can be added to the class, giving a model theoretic approach to, e.g., Banach space isomorphisms or operator approximations. The novelty is the built-in treatment of these generalized isomorphisms making, e.g., stability up to perturbation the natural stability notion. With respect to these generalized isomorphisms we develop a notion of independence. It behaves well already for structures which are omega-stable up to perturbation and coincides with the one from classical homogeneous model theory over saturated enough models. We also introduce a notion of isolation and prove dominance for it.

Mathematical models on the impact of noise and dyadic molecular structures on the properties of a cardiac myocyte

In cardiac myocytes (heart muscle cells), coupling of electric signal known as the action potential to contraction of the heart depends crucially on calcium-induced calcium release (CICR) in a microdomain known as the dyad. During CICR, the peak number of free calcium ions (Ca) present in the dyad is small, typically estimated to be within range 1-100. Since the free Ca ions mediate CICR, noise in Ca signaling due to the small number of free calcium ions influences Excitation-Contraction (EC) coupling gain. Noise in Ca signaling is only one noise type influencing cardiac myocytes, e.g., ion channels playing a central role in action potential propagation are stochastic machines, each of which gates more or less randomly, which produces gating noise present in membrane currents. How various noise sources influence macroscopic properties of a myocyte, how noise is attenuated and taken advantage of are largely open questions. In this thesis, the impact of noise on CICR, EC coupling and, more generally, macroscopic properties of a cardiac myocyte is investigated at multiple levels of detail using mathematical models. Complementarily to the investigation of the impact of noise on CICR, computationally-efficient yet spatially-detailed models of CICR are developed. The results of this thesis show that (1) gating noise due to the high-activity mode of L-type calcium channels playing a major role in CICR may induce early after-depolarizations associated with polymorphic tachycardia, which is a frequent precursor to sudden cardiac death in heart failure patients; (2) an increased level of voltage noise typically increases action potential duration and it skews distribution of action potential durations toward long durations in cardiac myocytes; and that (3) while a small number of Ca ions mediate CICR, Excitation-Contraction coupling is robust against this noise source, partly due to the shape of ryanodine receptor protein structures present in the cardiac dyad.

Tannakian Formalism Applied to the Category of Mixed Hodge Structures

Many problems in analysis have been solved using the theory of Hodge structures. P. Deligne started to treat these structures in a categorical way. Following him, we introduce the categories of mixed real and complex Hodge structures. Category of mixed Hodge structures over the field of real or complex numbers is a rigid abelian tensor category, and in fact, a neutral Tannakian category. Therefore it is equivalent to the category of representations of an affine group scheme. The direct sums of pure Hodge structures of different weights over real or complex numbers can be realized as a representation of the torus group, whose complex points is the Cartesian product of two punctured complex planes. Mixed Hodge structures turn out to consist of information of a direct sum of pure Hodge structures of different weights and a nilpotent automorphism. Therefore mixed Hodge structures correspond to the representations of certain semidirect product of a nilpotent group and the torus group acting on it.

Mining Sequential Data – in Search of Segmental Structures

Segmentation is a data mining technique yielding simplified representations of sequences of ordered points. A sequence is divided into some number of homogeneous blocks, and all points within a segment are described by a single value. The focus in this thesis is on piecewise-constant segments, where the most likely description for each segment and the most likely segmentation into some number of blocks can be computed efficiently. Representing sequences as segmentations is useful in, e.g., storage and indexing tasks in sequence databases, and segmentation can be used as a tool in learning about the structure of a given sequence. The discussion in this thesis begins with basic questions related to segmentation analysis, such as choosing the number of segments, and evaluating the obtained segmentations. Standard model selection techniques are shown to perform well for the sequence segmentation task. Segmentation evaluation is proposed with respect to a known segmentation structure. Applying segmentation on certain features of a sequence is shown to yield segmentations that are significantly close to the known underlying structure. Two extensions to the basic segmentation framework are introduced: unimodal segmentation and basis segmentation. The former is concerned with segmentations where the segment descriptions first increase and then decrease, and the latter with the interplay between different dimensions and segments in the sequence. These problems are formally defined and algorithms for solving them are provided and analyzed. Practical applications for segmentation techniques include time series and data stream analysis, text analysis, and biological sequence analysis. In this thesis segmentation applications are demonstrated in analyzing genomic sequences.

Stalinismin lyhyt kurssi : Suomalaiset Moskovan Lenin-koulussa 1926-1938

This study of the Finns at the International Lenin School (ILS) reflects history of the Soviet Union during Stalin's era, history of the Communist International (Comintern) as well as history of Finnish communism. The life span of the ILS (1926-1938) matches up with creating and establishing the power structures of Stalinism. Both the ILS and Finnish Communism in the USSR became casualties of the Great Terror (1937-1938). After the WW2, however, the Soviet education was appreciated inside the Communist Party of Finland (CPF). If Finland would have become People's Democracy, the former ILS students would have composed the inner circle of the new "democratic" government. The Finnish teachers of the ILS were leaders of the CPF that was headquartered in Moscow. At the ILS studied in total 141 Finnish communists. The purpose of the ILS was to educate the communist parties' leading stratum of functionaries. They were supposed to internalize current values, methods and discipline of the Bolsheviks. This study evaluates the effects of the total school experience on the Finns that often ended in another total institution in Finland: prison. The curricula of the ILS consisted of theory of Marxism-Leninism, party history, political economics and themes of campaigns of Stalinism. The ILS year included participation in Bolshevik party life and practical work. During summer excursions (praktikas) the students could acquaint themselves with building of socialism in the Soviet Republics. At the ILS, intention to ideological moulding was not hidden. The students were supposed to adopt the Stalinist identity of the professional revolutionaries of the era. The ILS was saturated with ideology and propaganda. This study analyzes especially uses of history as vehicle of ideological standardisation and as instrument of power. Stalin contributed personally to shortcomings of history writing of the communist party. Later he supervised writing of the inclusive handbook of communism, "History of the All-Union Communist Party. Short Course". Special attention will be paid to the effects of Stalin's intervention at the ILS and inside the CPF. The life of the Finns at the ILS and outside the school is described at grass roots. The dividing line between personal and political is analyzed by charting emotional, intimate and bodily experiences of the Finns of the ILS. The fates of the ILS Finns after the studying or teaching period in Moscow are explored in detail. The protagonist among the teachers is Yrjö Sirola that was called "father of the CPF cadres". The Finnish ILS teachers and the formed students that had remained in the USSR were most severely hit by the Great Terror. The Soviet education had most importance in Finland of post WW2 period. The training at the ILS, however, did not contribute to revolution in Finland. The main heading of the study, "A Short Course of Stalinism", crystallises interpretation of the ILS as seat of learning of ideological unity of Stalinism. On the other hand, the title includes a statement of incompleteness of the Stalinist education if the schooling at the ILS had remained in one year.

Phospholipids of lipid-containing bacteriophages and their transbilayer distribution

In this study we used electro-spray ionization mass-spectrometry to determine phospholipid class and molecular species compositions in bacteriophages PM2, PRD1, Bam35 and phi6 as well as their hosts. To obtain compositional data of the individual leaflets, phospholipid transbilayer distribution in the viral membranes was studied. We found that 1) the membranes of all studied bacteriophage are enriched in PG as compared to the host membranes, 2) molecular species compositions in the phage and host membranes are similar, and 3) phospholipids in the viral membranes are distributed asymmetrically with phosphatidylglycerol enriched in the outer leaflet and phosphatidylethanolamine in the inner one (except Bam35). Alternative models for selective incorporation of phospholipids to phages and for the origins of the asymmetric phospholipid transbilayer distribution are discussed. Notably, the present data are also useful when constructing high resolution structural models of bacteriophages, since diffraction methods cannot provide a detailed structure of the membrane due to high motility of the lipids and lack of symmetric organization of membrane proteins.

X-ray and neutron scattering studies on some nanoscale structures in molecular biology

Scattering of X-rays and neutrons has been applied to the study of nanostructures with interesting biological functions. The systems studied were the protein calmodulin and its complexes, bacterial virus bacteriophage phi6, and the photosynthetic antenna complex from green sulfur bacteria, chlorosome. Information gathered using various structure determination methods has been combined to the low resolution information obtained from solution scattering. Conformational changes in calmodulin-ligand complex were studied by combining the directional information obtained from residual dipole couplings in nuclear magnetic resonance to the size information obtained from small-angle X-ray scattering from solution. The locations of non-structural protein components in a model of bacteriophage phi6, based mainly on electron microscopy, were determined by neutron scattering, deuterium labeling and contrast variation. New data are presented on the structure of the photosynthetic antenna complex of green sulfur bacteria and filamentous anoxygenic phototrophs, also known as the chlorosome. The X-ray scattering and electron cryomicroscopy results from this system are interpreted in the context of a new structural model detailed in the third paper of this dissertation. The model is found to be consistent with the results obtained from various chlorosome containing bacteria. The effect of carotenoid synthesis on the chlorosome structure and self-assembly are studied by carotenoid extraction, biosynthesis inhibition and genetic manipulation of the enzymes involved in carotenoid biosynthesis. Carotenoid composition and content are found to have a marked effect on the structural parameters and morphology of chlorosomes.

Studies of the star-forming structures in the dense interstellar medium: a view by dust extinction

New stars in galaxies form in dense, molecular clouds of the interstellar medium. Measuring how the mass is distributed in these clouds is of crucial importance for the current theories of star formation. This is because several open issues in them, such as the strength of different mechanism regulating star formation and the origin of stellar masses, can be addressed using detailed information on the cloud structure. Unfortunately, quantifying the mass distribution in molecular clouds accurately over a wide spatial and dynamical range is a fundamental problem in the modern astrophysics. This thesis presents studies examining the structure of dense molecular clouds and the distribution of mass in them, with the emphasis on nearby clouds that are sites of low-mass star formation. In particular, this thesis concentrates on investigating the mass distributions using the near infrared dust extinction mapping technique. In this technique, the gas column densities towards molecular clouds are determined by examining radiation from the stars that shine through the clouds. In addition, the thesis examines the feasibility of using a similar technique to derive the masses of molecular clouds in nearby external galaxies. The papers presented in this thesis demonstrate how the near infrared dust extinction mapping technique can be used to extract detailed information on the mass distribution in nearby molecular clouds. Furthermore, such information is used to examine characteristics crucial for the star formation in the clouds. Regarding the use of extinction mapping technique in nearby galaxies, the papers of this thesis show that deriving the masses of molecular clouds using the technique suffers from strong biases. However, it is shown that some structural properties can still be examined with the technique.

Human Rights in Action

In the post-World War II era human rights have emerged as an enormous global phenomenon. In Finland human rights have particularly in the 1990s moved from the periphery to the center of public policy making and political rhetoric. Human rights education is commonly viewed as the decisive vehicle for emancipating individuals of oppressive societal structures and rendering them conscious of the equal value of others; both core ideals of the abstract discourse. Yet little empirical research has been conducted on how these goals are realized in practice. These factors provide the background for the present study which, by combining anthropological insights with critical legal theory, has analyzed the educational activities of a Scandinavian and Nordic network of human rights experts and PhD students in 2002-2005. This material has been complemented by data from the proceedings of UN human rights treaty bodies, hearings organized by the Finnish Foreign Ministry, the analysis of different human rights documents as well as the manner human rights are talked of in the Finnish media. As the human rights phenomenon has expanded, human rights experts have acquired widespread societal influence. The content of human rights remains, nevertheless, ambiguous: on the one hand they are law, on the other, part of a moral discourse. By educating laymen on what human rights are, experts act both as intermediaries and activists who expand the scope of rights and simultaneously exert increasing political influence. In the educational activities of the analyzed network these roles were visible in the rhetorics of legality and legitimacy . Among experts both of these rhetorics are subject to ongoing professional controversy, yet in the network they are presented as undisputable facts. This contributes to the impression that human rights knowledge is uncontested. This study demonstrates how the network s activities embody and strengthen a conception of expertise as located in specific, structurally determined individuals. Simultaneously its conception of learning emphasizes the adoption of knowledge by students, emphasizing the power of experts over them. The majority of the network s experts are Nordic males, whereas its students are predominantly Nordic females and males from East-European and developing countries. Contrary to the ideals of the discourse the network s activities do not create dialogue, but instead repeat power structures which are themselves problematic.

The Relational Self, the Social Bond and the Dynamics of Personal Relationships : A Sociological Analysis

This study analyses personal relationships linking research to sociological theory on the questions of the social bond and on the self as social. From the viewpoint of disruptive life events and experiences, such as loss, divorce and illness, it aims at understanding how selves are bound to their significant others as those specific people ‘close or otherwise important’ to them. Who form the configurations of significant others? How do different bonds respond in disruptions and how do relational processes unfold? How is the embeddedness of selves manifested in the processes of bonding, on the one hand, and in the relational formation of the self, on the other? The bonds are analyzed from an anti-categorical viewpoint based on personal citations of significance as opposed to given relationship categories, such as ‘family’ or ‘friendship’ – the two kinds of relationships that in fact are most frequently significant. The study draws from analysis of the personal narratives of 37 Finnish women and men (in all 80 interviews) and their entire configurations of those specific people who they cite as ‘close or otherwise important’. The analysis stresses the subjective experiences, while also investigating the actualized relational processes and configurations of all personal relationships with certain relationship histories embedded in micro-level structures. The research is based on four empirical sub-studies of personal relationships and a summary discussing the questions of the self and social bond. Discussion draws from G. H. Mead, C. Cooley, N. Elias, T. Scheff, G. Simmel and the contributors of ‘relational sociology’. Sub-studies analyse bonds to others from the viewpoint of biographical disruption and re-configuration of significant others, estranged family bonds, peer support and the formation of the most intimate relationships into exclusive and inclusive configurations. All analyses examine the dialectics of the social and the personal, asking how different structuring mechanisms and personal experiences and negotiations together contribute to the unfolding of the bonds. The summary elaborates personal relationships as social bonds embedded in wider webs of interdependent people and social settings that are laden with cultural expectations. Regarding the question of the relational self, the study proposes both bonding and individuality as significant. They are seen as interdependent phases of the relationality of the self. Bonding anchors the self to its significant relationships, in which individuality is manifested, for example, in contrasting and differentiating dynamics, but also in active attempts to connect with others. Individuality is not a fixed quality of the self, but a fluid and interdependent phase of the relational self. More specifically, it appears in three formats in the flux of relational processes: as a sense of unique self (via cultivation of subjective experiences), as agency and as (a search for) relative autonomy. The study includes an epilogue addressing the ambivalence between the social expectation of individuality in society and the bonded reality of selves.

Growing Flowers in the Frost: Civic Activity, Citizenship and Gender in Russia

This study analyzes civic activity, citizenship and their gendered manifestations in contemporary Russia. It is based on a case study conducted in the city of Tver , located in the vicinity of Moscow, during 2001-2005. The data consists of interviews with civic activists and municipal and regional authorities; observations of civic organizations; and a quantitative survey conducted among local civic groups. The theoretical and methodological framework of the study draws upon a micro perspective on organization, discourse analysis, gender and citizenship theories and Pierre Bourdieu s theory of fields and capital. This study develops theoretical understanding of the characteristics and logic of civic organization in Russia. It shows that social class centrally structures the field of civic activity. Organizations can be seen as a vehicle of the educated class to advocate their interests, help themselves and seek both social and individual-level change. The study also argues that civic organizations founded during the post-Soviet era are often an institutionalized form of informal social networks. Networks, which were a central element of everyday interaction in Soviet society, are a resource and often the only resource available that can be made use of in contemporary organizational activities. The study argues that gender operates as a key structuring principle in the Russian socio-political community. Civic activity is often discursively associated with femininity and institutional politics with masculinity. Women tend to participate more than men in civic organizations, while men dominate the formal political domain. The study shows that civic organizations are important loci of communality. This communality, however, differs from the communality envisioned in the communitarian and social capital debates in the West. It is selective communality , as it is restricted to the members of the organizations and does not create generalized reciprocity and trust. Civic organizations tend to build upon and reproduce the traditional Russian organizational form of circles , kruzhki. Along with the analysis of civic activities, the study also examines the redefinition of the role and functions of the state. The authorities interviewed in this study understand civic organizations as serving those goals and interests determined by the authorities, instead of viewing them as sites of citizens self-organization around interests and problems citizens themselves deem important, or as a counterforce to the state. By contrast, civic activists understand the core of organizational activity to be advocacy of their interests and rights, tackling social problems, the pursuit of wider social change and self-help. Co-operation between authorities and organizations tends to be personified and based upon unequal, hierarchical patron-client arrangements, which inhibits the development of democratic governance. The study will be published in Routledge Contemporary Russia and Eastern Europe Series later this year.