18 resultados para Left-Sided Mixed Riemann-Liouville Integral

em Helda - Digital Repository of University of Helsinki


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Staphylococcus aureus is the second most common bloodstream isolate both in community- and hospital-acquired bacteremias. The clinical course of S. aureus bacteremia (SAB) is determined by its complications, particularly by the development of deep infections and thromboembolic events. Despite the progress of antimicrobial therapy, SAB is still associated with high mortality. However, injection drug users (IDUs) tend to have fewer complications and better prognosis than nonaddicts, especially in endocarditis. The present study was undertaken to investigate epidemiology, treatment and outcome of S. aureus bacteremia and endocarditis in Finland. In particular, differences in bacterial strains and their virulence factors, and host immune responses were compared between IDUs and nonaddicts. In Finland, 5045 SAB cases during 1995-2001 were included using the National Infectious Disease Register maintained by National Public Health Institute. The annual incidence of SAB increased, especially in elderly. While the increase in incidence may partly be explained by better reporting, it most likely reflects a growing population at risk, affected by such factors as age and/or severe comorbidity. Nosocomial infections accounted for 51% of cases, with no change in their proportion during the study period. The 28-day mortality was 17% and remained unchanged over time. A total of 381 patients with SAB were randomized to receive either standard antibiotic treatment or levofloxacin added to standard treatment. Levofloxacin combination therapy did not decrease the mortality, lower the incidence of deep infections, nor did it speed up the recovery during 3 months follow-up. However, patients with a deep infection appeared to benefit from combination therapy with rifampicin, as suggested also by experimental data. Deep infections were found in 84% of SAB patients within one week after randomization, and they appeared to be more common than previously reported. Endocarditis was observed in 74 of 430 patients (17%) with SAB, of whom 20 were IDUs and 54 nonaddicts. Right-sided involvement was diagnosed in 60% of addicts whereas 93% of nonaddicts had left-sided endocarditis. Unexpectedly, IDUs showed extracardiac deep infections, thromboembolic events and severe sepsis with the same frequency as nonaddicts. The prognosis of endocarditis was better among addicts due to their younger age and lack of underlying diseases in agreement with earlier reports. In total, all 44 IDUs with SAB were included and 20 of them had endocarditis. An equal number of nonaddicts with SAB were chosen as group matched controls. Serological tests were not helpful in identifying patients with a deep infection. No individual S. aureus strain dominated in endocarditis among addicts. Characterization of the virulence factors of bacterial strains did not reveal any significant differences in IDUs and nonaddicts.

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The aim of this study was to explore the spirituality of Finnish academically gifted 12 13-year old pre-adolescents (N = 101). Their spirituality was investigated through the following three questions: (1) What is their relationship to religion? (2) How do they perceive transcendence? and (3) How does their search for meaning integrate into their lives? A total of 60 girls and 41 boys participated in the study. They attend a special school, Helsingin Suomalainen yhteiskoulu, in Helsinki, Finland. The school includes classes from grade 3 to upper secondary school and has an entrance test. This study is part of a research project called Actualizing Finnish Giftedness which is funded by the Finnish Academy between 2000 2007 and is led by Professor Tirri. The research project is based on Gardner s Multiple Intelligences theory (Gardner 1993) and on Hay s (1998) work on spirituality. The data in this study was gathered in 2003 and 2004. It includes both qualitative and quantitative material. The emphasis is on data gathered with interviews. The mixed method approach was used as the methodological framework for connecting the qualitative content analysis, phenomenological approach and the quantitative tests of this study. The results of the sub-studies are reported in full in the four original articles. First, the articles show that the pupils connect religion mainly with Christian institutions and do not consider religion and spirituality to overlap. Second, the articles show that the pupils believe in God and the interference of God in their lives and they think that reality includes a spiritual dimension. Third, the pupils had four kinds of existentially significant interests: personal, transcendental, cosmic and ethical. Cosmic interests were especially highlighted in the article concerning boys as nature and science were reported to be integral sources for their existential thinking. In addition, perceptions on God seemed to be connected to the individual s perception on the meaning of life. In RE, spiritual development has been a constant topic of interest since the late eighties. Likewise, recently in gifted education there have been discussions concerning spiritual intelligence (Gardner 1999) and spirituality of the gifted (Kerr & Cohn 2001). Based on the empirical results of the study, this study concludes that education wishing to promote spiritual development should aim at being existentially relevant to the pupils and use their existential search as an integrative framework for their individual talents and skills.

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Increased mass migration, as a result of economic hardship, natural disasters and wars, forces many people to arrive on the shores of cultures very different from those they left. How do they manage the legacy of the past and the challenges of their new everyday life? This is a study of immigrant women living in transnational families that act and communicate across national borders on a near-daily basis. The research was carried out amongst immigrant women who were currently living in Finland. The research asks how transnational everyday life is constructed. As everyday life, due to its mundane nature, is difficult to operationalise for research purposes, mixed data collection methods were needed to capture the passing moments that easily become invisible. Thus, the data were obtained from photographic diaries (459 photographs) taken by the research participants themselves. Additionally, stimulated recall discussions, structured questionnaires and participant observation notes were used to complement the photographic data. A tool for analysing the activities devealed in the data was created on the assumption that a family is an active unit that accommodates the current situation in which it is embedded. Everyday life activities were analysed emphasizing social, modal and spatial dimensions. Important daily moments were placed on a continuum: for me , for immediate others and with immediate others . They portrayed everyday routines and exceptions to it. The data matrix was developed as part of this study. The spatial dimensions formed seven units of activity settings: space for friendship, food, resting, childhood, caring, space to learn and an orderly space. Attention was also paid to the accommodative nature of activities; how women maintain traditions and adapt to Finnish life or re-create new activity patterns. Women s narrations revealed the importance of everyday life. The transnational chain of women across generations and countries, comprised of the daughters, mothers and grandmothers was important. The women showed the need for information technology in their transnational lives. They had an active relationship to religion; the denial or importance of it was obvious. Also arranging one s life in Finnish society was central to their narrations. The analysis exposed everyday activities, showed the importance of social networks and the uniqueness of each woman and family. It revealed everyday life in a structured way. The method of analysis that evolved in this study together with the research findings are of potential use to professionals, allowing the targeting of interventions to improve the everyday lives of immigrants.

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B. cereus is a gram-positive bacterium that possesses two different forms of life:the large, rod-shaped cells (ca. 0.002 mm by 0.004 mm) that are able to propagate and the small (0.001 mm), oval shaped spores. The spores can survive in almost any environment for up to centuries without nourishment or water. They are insensitive towards most agents that normally kill bacteria: heating up to several hours at 90 ºC, radiation, disinfectants and extreme alkaline (≥ pH 13) and acid (≤ pH 1) environment. The spores are highly hydrophobic and therefore make them tend to stick to all kinds of surfaces, steel, plastics and live cells. In favorable conditions the spores of B. cereus may germinate into vegetative cells capable of producing food poisoning toxins. The toxins can be heat-labile protein formed after ingestion of the contaminated food, inside the gastrointestinal tract (diarrhoeal toxins), or heat stable peptides formed in the food (emesis causing toxin, cereulide). Cereulide cannot be inactivated in foods by cooking or any other procedure applicable on food. Cereulide in consumed food causes serious illness in human, even fatalities. In this thesis, B. cereus strains originating from different kinds of foods and environments and 8 different countries were inspected for their capability of forming cereulide. Of the 1041 isolates from soil, animal feed, water, air, used bedding, grass, dung and equipment only 1.2 % were capable of producing cereulide, whereas of the 144 isolates originating from foods 24 % were cereulide producers. Cereulide was detected by two methods: by its toxicity towards mammalian cells (sperm assay) and by its peculiar chemical structure using liquid-chromatograph-mass spectrometry equipment. B. cereus is known as one of the most frequent bacteria occurring in food. Most foods contain more than one kind of B. cereus. When randomly selected 100 isolates of B. cereus from commercial infant foods (dry formulas) were tested, 11% of these produced cereulide. Considering a frequent content of 103 to 104 cfu (colony forming units) of B. cereus per gram of infant food formula (dry), it appears likely that most servings (200 ml, 30 g of the powder reconstituted with water) may contain cereulide producers. When a reconstituted infant formula was inoculated with >105 cfu of cereulide producing B. cereus per ml and left at room temperature, cereulide accumulated to food poisoning levels (> 0.1 mg of cereulide per serving) within 24 hours. Paradoxically, the amount of cereulide (per g of food) increased 10 to 50 fold when the food was diluted 4 - 15 fold with water. The amount of the produced cereulide strongly depended on the composition of the formula: most toxin was formed in formulas with cereals mixed with milk, and least toxin in formulas based on milk only. In spite of the aggressive cleaning practices executed by the modern dairy industry, certain genotypes of B. cereus appear to colonise the silos tanks. In this thesis four strategies to explain their survival of their spores in dairy silos were identified. First, high survival (log 15 min kill ≤ 1.5) in the hot alkaline (pH >13) wash liquid, used at the dairies for cleaning-in-place. Second, efficient adherence of the spores to stainless steel from cold water. Third, a cereulide producing group with spores characterized by slow germination in rich medium and well preserved viability when exposed to heating at 90 ºC. Fourth, spores capable of germinating at 8 ºC and possessing the psychrotolerance gene, cspA. There were indications that spores highly resistant to hot 1% sodium hydroxide may be effectively inactivated by hot 0.9% nitric acid. Eight out of the 14 dairy silo tank isolates possessing hot alkali resistant spores were capable of germinating and forming biofilm in whole milk, not previously reported for B. cereus. In this thesis it was shown that cereulide producing B. cereus was capable of inhibiting the growth of cereulide non-producing B. cereus occurring in the same food. This phenomenon, called antagonism, has long been known to exist between B. cereus and other microbial species, e.g. various species of Bacillus, gram-negative bacteria and plant pathogenic fungi. In this thesis intra-species antagonism of B. cereus was shown for the first time. This brother-killing did not depend on the cereulide molecule, also some of the cereulide non-producers were potent antagonists. Interestingly, the antagonistic clades were most frequently found in isolates from food implicated with human illness. The antagonistic property was therefore proposed in this thesis as a novel virulence factor that increases the human morbidity of the species B. cereus, in particular of the cereulide producers.

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The monograph dissertation deals with kernel integral operators and their mapping properties on Euclidean domains. The associated kernels are weakly singular and examples of such are given by Green functions of certain elliptic partial differential equations. It is well known that mapping properties of the corresponding Green operators can be used to deduce a priori estimates for the solutions of these equations. In the dissertation, natural size- and cancellation conditions are quantified for kernels defined in domains. These kernels induce integral operators which are then composed with any partial differential operator of prescribed order, depending on the size of the kernel. The main object of study in this dissertation being the boundedness properties of such compositions, the main result is the characterization of their Lp-boundedness on suitably regular domains. In case the aforementioned kernels are defined in the whole Euclidean space, their partial derivatives of prescribed order turn out to be so called standard kernels that arise in connection with singular integral operators. The Lp-boundedness of singular integrals is characterized by the T1 theorem, which is originally due to David and Journé and was published in 1984 (Ann. of Math. 120). The main result in the dissertation can be interpreted as a T1 theorem for weakly singular integral operators. The dissertation deals also with special convolution type weakly singular integral operators that are defined on Euclidean spaces.

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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.

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We study integral representations of Gaussian processes with a pre-specified law in terms of other Gaussian processes. The dissertation consists of an introduction and of four research articles. In the introduction, we provide an overview about Volterra Gaussian processes in general, and fractional Brownian motion in particular. In the first article, we derive a finite interval integral transformation, which changes fractional Brownian motion with a given Hurst index into fractional Brownian motion with an other Hurst index. Based on this transformation, we construct a prelimit which formally converges to an analogous, infinite interval integral transformation. In the second article, we prove this convergence rigorously and show that the infinite interval transformation is a direct consequence of the finite interval transformation. In the third article, we consider general Volterra Gaussian processes. We derive measure-preserving transformations of these processes and their inherently related bridges. Also, as a related result, we obtain a Fourier-Laguerre series expansion for the first Wiener chaos of a Gaussian martingale. In the fourth article, we derive a class of ergodic transformations of self-similar Volterra Gaussian processes.

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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.

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In my dissertation I have studied St Teresa (1515-1582) in the light of medieval mystical theories. I have two main levels in my research: historical and theological. On the historical level I study St Teresa s personal history in the context of her family and the Spanish society. On the theological level I study both St Teresa s mysticism and her religious experience in the light of medieval mysticism. St Teresa wrote a book called Life , which is her narrative autobiography and story about her mystical spiritual formation. She reflected herself through biblical texts interpreting them in the course of the biblical hermeneutics like allegory, typology, tropology and anagogy. In addition to that she read others life stories from her period of time, but reflected herself only slightly through the sociological point of view. She used irony as a means to gain acceptance to her authority and motive to write. Her position has been described as a double bind because of writing at the request of educated men and to the non-educated women as she herself was uneducated. She used irony as a means to achieve valuation to women, to gain negative attributes connected to them and to gain authority to teach them mystical spirituality, the Bible and prayer. In this ironic tendency she was a feminist writer. In order to understand medieval mysticism I have written in the first chapter a review of the main trends in medieval mysticism in connection with the classical emotional theories. Two medieval mystical theories show an important role in St Teresa s mysticism. One is love mysticism and the other is the three partite way of mysticism (purification, illumination and union). The classic-philosophical emotional theories play a role in both patterns. The theory of love mysticism St Teresa interpreted in the traditional way stressing the spiritual meaning of love in connexion with God and neighbors. Love is an emotion, which is bound with other emotions, but all objects of love don t strengthen spiritual love. In the three partite way of mysticism purification means to find biblical values in life and to practice meditative self-knowledge theologically interpreted. In illumination human understanding has to be illuminated by God and united to mystical knowledge from God. St Teresa considered illumination a way to learn things. Illumination has also psychological aspects like recognition of many trials and pains, which come from life on earth. Theologically interpreted in illumination one should die to oneself, let oneself be transformed and renewed by God. I have also written a review of the modern philosophical discussion on personal identity where memory and mental experiences are important creators of personal identity. St Teresa bound medieval mystical teaching together with her personal religious experience. Her personal identity is by its character based on her narrative life story where mental experiences play important role. Previous researchers have labelled St Teresa as an ecstatic person whose experiences produced ecstatic phenomena to the mysticism. These phenomena combined with visions have in one respect made of her a person who has brought physical and visionary tendencies to theology. In spite of that she also represents a modern tendency trying to give words to experiences, which at first seem to be exceptional and extreme and which are easily interpreted as one-sided either physical or sexual or unsaid. In other respect I have stressed the personality of St Teresa that was represented as both strong and weak. The strong personality for her is demonstrated by religious faith and in its practice. The weak personality was for her a natural personal identity. St Teresa saw a unifying aspect in almost all. Firstly, her mysticism was aimed towards union with God and secondly, the unifying aspects and common rules in human relations in community life were central. Union with God is based on the fact that in a soul God is living in its centre, where God is present in the Trinitarian way. The picture of God in ourselves is a mirror but to get to know God better is to recognize his/her presence in us. When the soul recognizes itself as a dwelling place of God, it knows itself as God knows him/herself. There is equality between God and the soul. To be a Christian means to participate in God in his Trinitarian being. The participation to God is a process of divinization that puts a person into transformation, change and renewal. The unitive aspect concludes also knowledge of opposites between experience of community and solitude as well as community and separateness. As a founder of monasteries St Teresa practiced theology of poverty. She renewed the monastic life founding a rule called discalced that stressed ascetic tendencies. Supporters of her work were after the difficulties in the beginning both society and churchly leaders. She wrote about the monasteries including in her description at times seriousness at times humor and irony. Her stories are said to be picaresque histories that contain stories of ordinary laymen and many unexpected occasions. She exercised a kind of Bakhtinian dialogue in her letters. St Teresa stressed the virtues like sacrifice, determination and courage in the monastic life. Most of what she taught of virtues is based on biblical spirituality but there are also psychological tendencies in her writings. The theological pedagogical advice is mixed with psychology, but she herself made no distinction between different aspects in her teaching. To understand St Teresa and her mysticism is to recognize that she mixes her personal religious experience and mysticism, which widens mysticism to religious experience in a new way, although this corresponds also the very definition of mysticism. St Teresa concentrated on mental-spiritual experiences and the aim of her mystical teaching was to produce a human mind well cured like a garden that has God as its gardener.

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Trimeric autotransporters are a family of secreted outer membrane proteins in Gram-negative bacteria. These obligate homotrimeric proteins share a conserved C-terminal region, termed the translocation unit. This domain consists of an integral membrane β-barrel anchor and associated α-helices which pass through the pore of the barrel. The α-helices link to the extracellular portion of the protein, the passenger domain. Autotransportation refers to the way in which the passenger domain is secreted into the extracellular space. It appears that the translocation unit mediates the transport of the passenger domain across the outer membrane, and no external factors, such as ATP, ion gradients nor other proteins, are required. The passenger domain of autotransporters contains the specific activities of each protein. These are usually related to virulence. In trimeric autotransporters, the main function of the proteins is to act as adhesins. One such protein is the Yersinia adhesin YadA, found in enteropathogenic species of Yersinia. The main activity of YadA from Y. enterocolitica is to bind collagen, and it also mediates adhesion to other molecules of the extracellular matrix. In addition, YadA is involved in serum resistance, phagocytosis resistance, binding to epithelial cells and autoagglutination. YadA is an essential virulence factor of Y. enterocolitica, and removal of this protein from the bacteria leads to avirulence. In this study, I investigated the YadA-collagen interaction by studying the binding of YadA to collagen-mimicking peptides by several biochemical and biophysical methods. YadA bound as tightly to the triple-helical model peptide (Pro-Hyp-Gly)10 as to native collagen type I. However, YadA failed to bind a similar peptide that does not form a collagenous triple helix. As (Pro-Hyp-Gly)10 does not contain a specific sequence, we concluded that a triple-helical conformation is necessary for YadA binding, but no specific sequence is required. To further investigate binding determinants for YadA in collagens, I examined the binding of YadA to a library of collagen-mimicking peptides that span the entire triple-helical sequences of human collagens type II and type III. YadA bound promiscuously to many but not all peptides, indicating that a triple-helical conformation alone is not sufficient for binding. The high-binding peptides did not share a clear binding motif, but these peptides were rich in hydroxyproline residues and contained a low number of charged residues. YadA thus binds collagens without sequence specificity. This strategy of promiscuous binding may be advantageous for pathogenic bacteria. The Eib proteins from Escherichia coli are immunoglobulin (Ig)-binding homologues of YadA. I showed conclusively that recombinant EibA, EibC, EibD and EibF bind to IgG Fc. I crystallised a fragment of the passenger domain of EibD, which binds IgA in addition to IgG. The structure has a YadA-like head domain and an extended coiled-coil stalk. The top half of the coiled-coil is right-handed with hendecad periodicity, whereas the lower half is a canonical left-handed coiled-coil. At the transition from right- to left-handedness, a small β-sheet protrudes from each monomer. I was able to map the binding regions for IgG and IgA using truncations and site-directed mutagenesis to the coiled-coil stalk and identified residues critical for Ig binding.

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The aim of the studies was to improve the diagnostic capability of electrocardiography (ECG) in detecting myocardial ischemic injury with a future goal of an automatic screening and monitoring method for ischemic heart disease. The method of choice was body surface potential mapping (BSPM), containing numerous leads, with intention to find the optimal recording sites and optimal ECG variables for ischemia and myocardial infarction (MI) diagnostics. The studies included 144 patients with prior MI, 79 patients with evolving ischemia, 42 patients with left ventricular hypertrophy (LVH), and 84 healthy controls. Study I examined the depolarization wave in prior MI with respect to MI location. Studies II-V examined the depolarization and repolarization waves in prior MI detection with respect to the Minnesota code, Q-wave status, and study V also with respect to MI location. In study VI the depolarization and repolarization variables were examined in 79 patients in the face of evolving myocardial ischemia and ischemic injury. When analyzed from a single lead at any recording site the results revealed superiority of the repolarization variables over the depolarization variables and over the conventional 12-lead ECG methods, both in the detection of prior MI and evolving ischemic injury. The QT integral, covering both depolarization and repolarization, appeared indifferent to the Q-wave status, the time elapsed from MI, or the MI or ischemia location. In the face of evolving ischemic injury the performance of the QT integral was not hampered even by underlying LVH. The examined depolarization and repolarization variables were effective when recorded in a single site, in contrast to the conventional 12-lead ECG criteria. The inverse spatial correlation of the depolarization and depolarization waves in myocardial ischemia and injury could be reduced into the QT integral variable recorded in a single site on the left flank. In conclusion, the QT integral variable, detectable in a single lead, with optimal recording site on the left flank, was able to detect prior MI and evolving ischemic injury more effectively than the conventional ECG markers. The QT integral, in a single-lead or a small number of leads, offers potential for automated screening of ischemic heart disease, acute ischemia monitoring and therapeutic decision-guiding as well as risk stratification.

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We show that the dynamical Wigner functions for noninteracting fermions and bosons can have complex singularity structures with a number of new solutions accompanying the usual mass-shell dispersion relations. These new shell solutions are shown to encode the information of the quantum coherence between particles and antiparticles, left and right moving chiral states and/or between different flavour states. Analogously to the usual derivation of the Boltzmann equation, we impose this extended phase space structure on the full interacting theory. This extension of the quasiparticle approximation gives rise to a self-consistent equation of motion for a density matrix that combines the quantum mechanical coherence evolution with a well defined collision integral giving rise to decoherence. Several applications of the method are given, for example to the coherent particle production, electroweak baryogenesis and study of decoherence and thermalization.