Quasiconformal mappings and inequalities involving special functions

This PhD thesis in Mathematics belongs to the field of Geometric Function Theory. The thesis consists of four original papers. The topic studied deals with quasiconformal mappings and their distortion theory in Euclidean n-dimensional spaces. This theory has its roots in the pioneering papers of F. W. Gehring and J. Väisälä published in the early 1960’s and it has been studied by many mathematicians thereafter. In the first paper we refine the known bounds for the so-called Mori constant and also estimate the distortion in the hyperbolic metric. The second paper deals with radial functions which are simple examples of quasiconformal mappings. These radial functions lead us to the study of the so-called p-angular distance which has been studied recently e.g. by L. Maligranda and S. Dragomir. In the third paper we study a class of functions of a real variable studied by P. Lindqvist in an influential paper. This leads one to study parametrized analogues of classical trigonometric and hyperbolic functions which for the parameter value p = 2 coincide with the classical functions. Gaussian hypergeometric functions have an important role in the study of these special functions. Several new inequalities and identities involving p-analogues of these functions are also given. In the fourth paper we study the generalized complete elliptic integrals, modular functions and some related functions. We find the upper and lower bounds of these functions, and those bounds are given in a simple form. This theory has a long history which goes back two centuries and includes names such as A. M. Legendre, C. Jacobi, C. F. Gauss. Modular functions also occur in the study of quasiconformal mappings. Conformal invariants, such as the modulus of a curve family, are often applied in quasiconformal mapping theory. The invariants can be sometimes expressed in terms of special conformal mappings. This fact explains why special functions often occur in this theory.

Moskovan nykytaiteen biennaali Rewriting Worlds, Special Projects Wrong Address

Kuraattorit Anna-Kaisa Rastenberger ja Tero Puha, Biennaalin pääkuraattori Peter Weibel

Factors Affecting Cancer Behavior with Special Reference to Lymphatic Vessels, Macrophages, EGFR, and Pim-1 in Colorectal Cancer

Syövän käyttäytymiseen ja ennusteeseen vaikuttavat monet tekijät, muun muassa muutokset syöpäsoluissa sekä kasvainta ympäröivässä mikroympäristössä. Tutkimuksen tavoitteena oli tutkia uusia prediktiivisiä ja prognostisia ennustetekijöitä syöpäsoluissa (EGFR geenikopiomäärä, EGFR, onkogeeni pim-1) sekä syöpäkasvaimen mikroympäristöön kuuluvissa imuteissä (CLEVER-1, podoplaniini), makrofageissa (CD68, CLEVER-1) ja T lymfosyyteissä (CD3) kolorektaalisyövässä. Lisäksi tutkittiin imuteiden molekulaarisia ominaisuuksia tarkemmin (CD73, LYVE-1, podoplaniini) kuten myös lymfosyyttien ja dendriittisolujen liikennöintiä imuteissä. Tutkimustulokset osoittavat että korkea Pim-1 ekspressiotaso, suuri peritumoraalinen CD68+ makrofagimäärä sekä varhaisen vaiheen taudissa suuri CLEVER-1+ peritumoraalinen makrofagimäärä ovat hyvän ennusteen tekijöitä kolorektaalisyövässä. Metastaattisessa taudissa sen sijaan suuri määrä CLEVER-1+ makrofageja, sekä intra- että peritumoraalisesti, liittyy huonoon tautiennusteeseen. EGFR geenikopiomäärä, EGFR proteiinipitoisuuden ohjaaman hopea in situ hybridisaatiomenetelmän avulla määritettynä, ennusti vastetta anti-EGFR hoidolle metastaattisessa kolorektaalisyövässä tarkemmin kuin nykyisin rutiinisti käytössä oleva KRAS määritys. Lisäksi havaittiin että imutiet ovat monimuotoisia imutiemarkkeri ekspressionsa suhteen sekä normaali- että syöpäkudoksissa. CD73 molekyylin funktio imuteissä poikkesi selvästi molekyylin funktiosta verisuonissa. Yhteenvetona voidaan todeta että kolorektaalisyövän ennusteeseen vaikuttavien tekijöiden merkitys vaihtelee taudin levinneisyysasteen sekä imuteiden että makrofagien sijainnin perusteella. Korkea Pim-1 ilmentyminen on yhteydessä hyvään kolorektaalisyöpäennusteeseen. Lisäksi EGFR geenikopiomäärä osoittautui lupaavaksi uudeksi prediktiiviseksi ennustetekijäksi KRAS villintyypin metastaattista kolorektaalisyöpää sairastavilla potilailla.

A platform for anti-biofilm assays combining viability, biomass and matrix quantifications in susceptibility assessments of antimicrobials against Staphylococcus aureus biofilms

Bacteria can exist as planktonic, the lifestyle in which single cells exist in suspension, and as biofilms, which are surface-attached bacterial communities embedded in a selfproduced matrix. Most of the antibiotics and the methods for antimicrobial work have been developed for planktonic bacteria. However, the majority of the bacteria in natural habitats live as biofilms. Biofilms develop dauntingly fast high resistance towards conventional antibacterial treatments and thus, there is a great need to meet the demands of effective anti-biofilm therapy. In this thesis project it was attempted to fill the void of anti-biofilm screening methods by developing a platform of assays that evaluate the effect that screened compounds have on the total biomass, viability and the extracellular polysaccharide (EPS) layer of the biofilms. Additionally, a new method for studying biofilms and their interactions with compounds in a continuous flow system was developed using capillary electrochromatography (CEC). The screening platform was utilized with a screening campaign using a small library of cinchona alkaloids. The assays were optimized to be statistically robust enough for screening. The first assay, based on crystal violet staining, measures total biofilm biomass, and it was automated using a liquid handling workstation to decrease the manual workload and signal variation. The second assay, based on resazurin staining, measures viability of the biofilm, and it was thoroughly optimized for the strain used, but was then a very simple and fast method to be used for primary screening. The fluorescent resazurin probe is not toxic to the biofilms. In fact, it was also shown in this project that staining the biofilms with resazurin prior to staining with crystal violet had no effect on the latter and they can be used in sequence on the same screening plate. This sequential addition step was indeed a major improvement on the use of reagents and consumables and also shortened the work time. As a third assay in the platform a wheat germ agglutinin based assay was added to evaluate the effect a compound has on the EPS layer. Using this assay it was found that even if compounds might have clear effect on both biomass and viability, the EPS layer can be left untouched or even be increased. This is a clear implication of the importance of using several assays to be able to find “true hits” in a screening setting. In the pilot study of screening for antimicrobial and anti-biofilm effects using a cinchona alkaloid library, one compound was found to have antimicrobial effect against planktonic bacteria and prevent biofilm formation at low micromolar concentration. To eradicate biofilms, a higher concentration was needed. It was also shown that the chemical space occupied by the active compound was slightly different than the rest of the cinchona alkaloids as well as the rest of the compounds used for validatory screening during the optimization processes of the separate assays.

Leukocyte trafficking: a special focus on VAP-1 and CLEVER-1

It is crucial that lymphocytes patrol the body against foreign intruders and that leukocytes invade inflamed tissues to ameliorate the infection or injury. The adhesion molecules in leukocytes and endothelial cells play an essential role in the immune response by directing the traffic of leukocytes. However, the same molecules that guide leukocyte traffic under physiological conditions are also involved in pathological situations, when an overly excessive or harmful inflammatory response leads to tissue destruction and organ dysfunction or tumor growth. Vascular adhesion protein-1 (VAP-1) and Common lymphatic endothelial and vascular endothelial receptor-1 (CLEVER-1) are endothelial molecules that participate in the adhesion of leukocytes to the endothelia. This study was designed to elucidate, using different inflammation models, the role of VAP-1 and CLEVER-1 in leukocyte migration to the inflamed tissue, and to evaluate the use of antibodies against these molecules as an anti-adhesive therapy. Also, the role of CLEVER-1 during tumorigenesis was studied. Blocking the function of VAP-1 with antibodies significantly decreased the accumulation of leukocytes in the inflamed tissue. Targeting CLEVER-1 prevented cell migration via lymphatic vessels, as well as leukocyte traffic during inflammation. Following the anti-CLEVER-1 antibody treatment the number of immune regulating leukocytes in tumors was reduced, which led to a decrease in tumor growth. However, the normal immune response towards immunization or bacterial infection was not compromised. Thus, VAP-1 and CLEVER-1 are both potential targets for antiinflammatory therapies for preventing the harmful accumulation of leukocytes in inflamed areas. Targeting CLEVER-1 may also inhibit tumor growth by reducing immunosuppressive leukocytes in tumors

Single access laparoscopic cholecystectomy: technique without the need for special materials and with better ergonomics

The authors describe a surgical technique which allows, without increasing costs, to perform laparoscopic cholecystectomy with a single incision, without using specific materials and with better surgical ergonomics. The technique consists of a longitudinal umbilical incision, navel detachment, use of a permanent 10mm trocar and two clamps directly and bilaterally through the aponeurosis without the use of 5mm trocars, transcutaneous gallbladder repair with straight needle cotton suture, ligation with unabsorbable suture and umbilical incision for the specimen extraction. The presented technique enables the procedure with conventional and permanent materials, improving surgical ergonomics, with safety and aesthetic advantages.

Professional development among educators pursuing a B.Ed. program in special education in Tanzania : a study of motives and perceived outcomes

Implementation of different policies and plans aiming at providing education for all is a challenge in Tanzania. The need for educators and professionals with relevant knowledge and qualifications in special education is substantial. Teacher education does not equip educators with sufficient knowledge and skills in special education and professional development programs in special education are few in number. Up to 2005 no degree programs in special education at university level were available in Tanzania. The B.Ed. Special Education program offered by the Open University of Tanzania in collaboration with Åbo Akademi University in Finland was one of the efforts aimed at addressing the big national need for teachers and other professionals with degree qualifications in special education. This pilot program offered unique possibilities to study professional development in Tanzania. The research group in this study consisted of the group of students who participated in the degree program 2005-2007. The study is guided by three theoretical perspectives: individual, social and societal. The individual perspective emphasizes psychological factors as motives, motivation, achievement, self-directed behavior and personal growth. Within social perspective, professional development is viewed as situated within the social and cultural context. The third perspective, the societal, focuses on change, reforms, innovations and transformation of school systems and societies. Accordingly, professional development is viewed as an individual, social and societal phenomenon. The overall aim of the study is to explore the participants’ motives for participating in a B.Ed. Special Education program and the perceived outcomes of the program in terms of professional development. In order to achieve the objectives of the study, a case study approach was adopted. Questionnaires and semi-structured interviews were administered in three waves between January 2007 and February 2009 to the 35 educators participating in the B.Ed. Special Education program. The findings of the study reveal that the participants expressed motives which were related to job performance, knowledge, skills, academic degree and career. Also altruistic motives were expressed by the participants in terms of helping and supporting students with special needs and their communities. The perceived outcomes of the program were in line with the expressed motives. However, the results indicate that the participants also learned new skills, as interaction skills and guidance and counseling skills. Increased self-confidence was also mentioned as an outcome. The participants also got deepened understanding of disability issues. In addition, they learned strategies for creating awareness of persons with disability in the communities. Thus the findings of the study indicate positive outcomes of the program in terms of professional development. The conclusion of the study is that individual, social and societal factors interact when it comes to explaining why Tanzanian educators in special education choose to pursue a degree program in special education. The individual motives, as increased knowledge and better prospects of career development interact with the social and societal motives to help and support vulnerable student groups. The study contributes to increased understanding of the complexity of professional development and of the realities educators meet when educational reforms are implemented in a developing country.

Arvoperusteinen hinnoittelu työvälineteollisuudessa - mahdollisuudet ja haasteet

Tutkimuksessa selvitetään miten työvälineiden valmistajat käyttävät arvo-perusteista hinnoittelua teknologiaosaamisen palvelutuotteissa ja mikä vaikuttaa siihen, että sitä käytetään tai ei käytetä. Kirjallisuuskatsauksessa perehdytään markkinoinnin ja laskentatoimen kirjallisuuteen palveluliiketoiminnan, asiakasarvon ja arvoperusteisen hinnoittelun osalta. Palveluliiketoimintaa avataan nimenomaan teollisuuden palveluliiketoiminnan näkökulmasta. Asiakasarvoa puolestaan käsitellään näkökulmina missä asiakasarvo muodostuu ja ketkä sitä luovat. Arvoperusteista hinnoittelua tarkastellaan lähtökohtana sen erityispiirteet asiakkaan ja myynnin suhteen sekä esitetään arvoperusteisen hinnoittelumallin käytön esteitä ja hyötyjä. Empiirisessä osiossa tutkitaan miten Työvälineiden valmistajien toimiala-ryhmän jäsenet käyttävät omissa palvelutuotteissaan arvoperusteista hin-noittelua. Aineisto kerättiin web-kyselyn avulla. Tutkimuksessa nousi esiin, että kyseistä hinnoittelumallia on alettu käyttää joissakin palveluissa. Koetut hyödyt ja esteet osoittautuvat olevan paljolti samat kuin aikaisemmassa tutkimuskirjallisuudessa on havaittu. Suurimpina hyötyinä nähtiin pysyvämmät asiakassuhteet, suurempi voittomarginaali ja positiivinen pakko perehtyä asiakkaan ansaintalogiikkaan. Suurimpina esteinä koettiin palvelusta syntyvän arvon määrittämisen vaikeus ja sen viestiminen asiakkaalle sekä asiakkaan haluttomuus sitoutua pitkiin sopimuksiin.

FAT-luokkien määritys hitsatuille levyliitoksille käyttämällä lineaarisen murtumismekaniikan särönkasvun simulointia

Työssä tutkittiin hitsattujen levyliitosten väsymiskestävyyden mitoitusarvoja. Hitsien väsymiskestävyyden mitoitusarvot määritettiin lineaarista murtumismekaniikkaa soveltavalla 2D FEM-laskentaohjelmalla. Murtumismekaanisen laskennan tuloksista määriteltiin, eri liitosgeometrioiden ja kuormitustyyppien mukaisia, nimellisen jännityksen väsymismitoitusmenetelmää vastaavia FAT-luokkia, joissa on huomioitu rakenteellinen jännitys hitsiä vastaan kohtisuorassa suunnassa. Tutkittujen liitosten geometriat olivat pääsääntöisesti poikkeavia mitoitusstandardien ja ohjeiden sisältämistä taulukkotapauksista. Laskennassa otettiin huomioon hitsien liittymiskulma perusaineeseen, rajaviivan pyöristykset ja vajaa hitsautumissyvyys. Kuormitustyyppien vaihtelua tutkittiin rakenteellisen jännityksen taivutusosuuden muutoksilla ja kuormaa kantavien X-liitosten risteävien kuormituksien suhteellisilla suuruuksilla. Väsymiskestävyydet määritettiin kuormituskohtaisille kalvo- ja taivutusjännityksille sekä näiden jännitysjakaumien keskiarvoille. Työssä saatuja FAT-luokkia voidaan hyödyntää vastaavien geometrioiden ja kuormitusten yhteydessä, sekä interpoloimalla myös tuloksien väliarvoissa. Työssä käytetyillä menetelmillä voidaan parantaa nimellisen jännityksen mitoitusmenetelmän tarkkuutta ja laajentaa sitä koskemaan myös taulukkotapausten ulkopuolisia liitoksia. Työn tuloksissa on esitetty FAT-luokkia T-, X- ja päittäisliitoksille ja näiden eri kuormitusyhdistelmille.

Harrison special lämmityslaite

kuv., 14 x 20 cm

Hupmobile Special Six

kuv., 14 x 22 cm

International "Six-Speed Special"

kuv., 22 x 30 cm

Experimental poisoning of goats by Ipomoea carnea subsp. fistulosa in Argentina: a clinic and pathological correlation with special consideration on the central nervous system

Ipomoea carnea subsp. fistulosa, aguapei or mandiyura, is responsible for lysosomal storage in goats. The shrub contains several alkaloids, mainly swansonine which inhibits lysosomal α-mannosidase and Golgi mannosidase II. Poisoning occurs by inhibition of these hydrolases. There is neuronal vacuolation, endocrine dysfunction, cardiovascular and gastrointestinal injury, and immune disorders. Clinical signs and pathology of the experimental poisoning of goats by Ipomoea carnea in Argentina are here described. Five goats received fresh leaves and stems of Ipomoea. At the beginning, the goats did not consume the plant, but later, it was preferred over any other forage. High dose induced rapid intoxication, whereas with low doses, the course of the toxicosis was more protracted. The goats were euthanized when they were recumbent. Cerebrum, cerebellum, medulla oblongata, pons and colliculi, were routinely processed for histology. In nine days, the following clinical signs developed: abnormal fascies, dilated nostrils and abnormal postures of the head, cephalic tremors and nystagmus, difficulty in standing. Subsequently, the goats had a tendency to fall, always to the left, with spastic convulsions. There was lack in coordination of voluntary movements due to Purkinje and deep nuclei neurons damage. The cochlear reflex originated hyperreflexia, abnormal posture, head movements and tremors. The withdrawal reflex produced flexor muscles hypersensitivity at the four legs, later depression and stupor. Abnormal responses to sounds were related to collicular lesions. Thalamic damage altered the withdrawal reflex, showing incomplete reaction. The observed cervical hair bristling was attributed to a thalamic regulated nociceptive response. Depression may be associated with agonists of lysergic acid contained in Ipomoea. These clinical signs were correlated with lesions in different parts of the CNS.

From Persephone to Pan: D. H. Lawrence's mythopoeic vision of the integrated personality with special emphasis on the short fiction and other writings in the early nineteen twenties

This doctoral thesis was published in printed form in 1987. It was digitized from paper copy in 2013. Unfortunately on some pages the digitizaion process has not been complete, i.e there are some minor typographic erros on some pages.

Factors predicting mortality in type 2 diabetes. With special reference to physical exercise, blood pressure, proteinuria, inflammation and P wave duration

Background: Type 2 diabetes patients have a 2-4 fold risk of cardiovascular disease (CVD) compared to the general population. In type 2 diabetes, several CVD risk factors have been identified, including obesity, hypertension, hyperglycemia, proteinuria, sedentary lifestyle and dyslipidemia. Although much of the excess CVD risk can be attributed to these risk factors, a significant proportion is still unknown. Aims: To assess in middle-aged type 2 diabetic subjects the joint relations of several conventional and non-conventional CVD risk factors with respect to cardiovascular and total mortality. Subjects and methods: This thesis is part of a large prospective, population based East-West type 2 diabetes study that was launched in 1982-1984. It includes 1,059 middle-aged (45-64 years old) participants. At baseline, a thorough clinical examination and laboratory measurements were performed and an ECG was recorded. The latest follow-up study was performed 18 years later in January 2001 (when the subjects were 63-81 years old). The study endpoints were total mortality and mortality due to CVD, coronary heart disease (CHD) and stroke. Results: Physically more active patients had significantly reduced total, CVD and CHD mortality independent of high-sensitivity C-reactive protein (hs-CRP) levels unless proteinuria was present. Among physically active patients with a hs-CRP level >3 mg/L, the prognosis of CVD mortality was similar to patients with hs-CRP levels ≤3 mg/L. The worst prognosis was among physically inactive patients with hs-CRP levels >3 mg/L. Physically active patients with proteinuria had significantly increased total and CVD mortality by multivariate analyses. After adjustment for confounding factors, patients with proteinuria and a systolic BP <130 mmHg had a significant increase in total and CVD mortality compared to those with a systolic BP between 130 and 160 mmHg. The prognosis was similar in patients with a systolic BP <130 mmHg and ≥160 mmHg. Among patients without proteinuria, a systolic BP <130 mmHg was associated with a non-significant reduction in mortality. A P wave duration ≥114 ms was associated with a 2.5-fold increase in stroke mortality among patients with prevalent CHD or claudication. This finding persisted in multivariable analyses. Among patients with no comorbidities, there was no relationship between P wave duration and stroke mortality. Conclusions: Physical activity reduces total and CVD mortality in patients with type 2 diabetes without proteinuria or with elevated levels of hs-CRP, suggesting that the anti-inflammatory effect of physical activity can counteract increased CVD morbidity and mortality associated with a high CRP level. In patients with proteinuria the protective effect was not, however, present. Among patients with proteinuria, systolic BP <130 mmHg may increase mortality due to CVD. These results demonstrate the importance of early intervention to prevent CVD and to control all-cause mortality among patients with type 2 diabetes. The presence of proteinuria should be taken into account when defining the target systolic BP level for prevention of CVD deaths. A prolongation of the duration of the P wave was associated with increased stroke mortality among high-risk patients with type 2 diabetes. P wave duration is easy to measure and merits further examination to evaluate its importance for estimation of the risk of stroke among patients with type 2 diabetes.