Edge coloring BIBDS and constructing MOELRs

Chapter 1 is used to introduce the basic tools and mechanics used within this thesis. Some historical uses and background are touched upon as well. The majority of the definitions are contained within this chapter as well. In Chapter 2 we consider the question whether one can decompose λ copies of monochromatic Kv into copies of Kk such that each copy of the Kk contains at most one edge from each Kv. This is called a proper edge coloring (Hurd, Sarvate, [29]). The majority of the content in this section is a wide variety of examples to explain the constructions used in Chapters 3 and 4. In Chapters 3 and 4 we investigate how to properly color BIBD(v, k, λ) for k = 4, and 5. Not only will there be direct constructions of relatively small BIBDs, we also prove some generalized constructions used within. In Chapter 5 we talk about an alternate solution to Chapters 3 and 4. A purely graph theoretical solution using matchings, augmenting paths, and theorems about the edgechromatic number is used to develop a theorem that than covers all possible cases. We also discuss how this method performed compared to the methods in Chapters 3 and 4. In Chapter 6, we switch topics to Latin rectangles that have the same number of symbols and an equivalent sized matrix to Latin squares. Suppose ab = n2. We define an equitable Latin rectangle as an a × b matrix on a set of n symbols where each symbol appears either [b/n] or [b/n] times in each row of the matrix and either [a/n] or [a/n] times in each column of the matrix. Two equitable Latin rectangles are orthogonal in the usual way. Denote a set of ka × b mutually orthogonal equitable Latin rectangles as a k–MOELR(a, b; n). We show that there exists a k–MOELR(a, b; n) for all a, b, n where k is at least 3 with some exceptions.

Comparison of oral antiviral therapy with valacyclovir or acyclovir after penetrating keratoplasty for herpetic keratitis

AIMS: To compare the outcome of prophylactic oral valacyclovir (VAL) or oral acyclovir treatment (ACV) in patients having undergone penetrating keratoplasty for herpetic keratitis (HK). METHODS: All patients having received a penetrating keratoplasty for HK and being treated postoperatively with either oral VAL or oral ACV (inclusion period from 12/97 to 3/06 and 5/92 to 9/96, respectively) were retrospectively evaluated. Records were analysed for postoperative reactivation of recurrent HK, graft rejection, endothelial cell loss, central corneal thickness and visual acuity after a follow-up of up to 5 years. RESULTS: Twenty patients received VAL and were compared with 19 patients being treated with ACV. Two patients developed clinical signs of recurrent herpetic disease in the VAL group compared with three patients in the ACV group. Two patients from both groups each developed an irreversible graft failure. Best corrected visual acuity improved in both treatment groups from baseline (logMAR) -1.97 (VAL), -1.47 (ACV) to -0.85, -0.72, respectively, at the 1-year follow-up and slightly deteriorated after 5 years in the ACV group (-0.71 VAL vs -1.14 ACV). CONCLUSION: Prophylactic oral VAL treatment is at least as effective as ACV in preventing recurrence in patients who underwent corneal transplantation for HK. The tolerability of the two drugs is similar, but the dosing for VAL might be more comfortable for patients.

Hydrogen Overvoltage of Cadmium Bismuth and Antimony Bismuth Alloys

A method to measure hydrogen overvoltage was devel­oped and checked with metals of known overvoltage. Alloys of bismuth and antimony and of bismuth and cad­mium were prepared and their overvoltages determined.

Pollinator responses to variation in floral display and flower size in dioecious Sagittaria latifolia (Alismataceae)

In animal-pollinated plants with unisexual flowers, sexual dimorphism in floral traits may be the consequence of pollinator-mediated selection. Experimental investigations of the effects of variation in flower size and floral display on pollinator visitation can provide insights into the evolution of floral dimorphism in dioecious plants. Here, we investigated pollinator responses to experimental arrays of dioecious Sagittaria latifolia in which we manipulated floral display and flower size. We also examined whether there were changes in pollinator visitation with increasing dimorphism in flower size. In S. latifolia, males have larger flowers and smaller floral displays than females. Visitation by pollinators, mainly flies and bees, was more frequent for male than for female inflorescences and increased with increasing flower size, regardless of sex. The number of insect visits per flower decreased with increasing floral display in males but remained constant in females. Greater sexual dimorphism in flower size increased visits to male inflorescences but had no influence on the number of visits to female inflorescences. These results suggest that larger flower sizes would be advantageous to both females and males, and no evidence was found that females suffer from increased flower-size dimorphism. Small daily floral displays may benefit males by allowing extended flowering periods and greater opportunities for effective pollen dispersal.

RailCity oder Hauptbahnhof?

In der neueren Designtheorie wird zur Zeit – auch in Bezug auf die Rhetorik – vermehrt der Aspekt der Wirkungsintention diskutiert; in Abgrenzung zur Analyse von 'Bedeutung' stehen in diesem Modell Produktion und Analyse in einem wirkungsgeleiteten Verhältnis. Ausgehend von der These, dass sich die beabsichtigten Nutzungen eines Gebäudes anhand des in und an ihm wirkenden Designs beschreiben lassen, wird am Beispiel des Berner Hauptbahnhofs ("SBB RailCity Bern") gezeigt, wie sich dessen 'design for shopping' zum 'design for transport' verhält. Die Architektur des Bahnhofs wird in diesem Setting weniger als 'gebauter Raum' verstanden als vielmehr als Träger und Auslöser von Informationsumgebungen, Blick- und Gangführungen, Stimmungsinszenierungen und Reizen – mit dem Ziel, Reisende und potentielle Konsument in ihrer jeweiligen Erlebniskette zu führen.

Modulus and Poincaré Inequalities on Non-Self-Similar Sierpiński Carpets

A carpet is a metric space homeomorphic to the Sierpiński carpet. We characterize, within a certain class of examples, non-self-similar carpets supporting curve families of nontrivial modulus and supporting Poincaré inequalities. Our results yield new examples of compact doubling metric measure spaces supporting Poincaré inequalities: these examples have no manifold points, yet embed isometrically as subsets of Euclidean space.

NOVEL MECHANISMS OF ANTIGEN PROCESSING THAT ENHANCE BCG VACCINE EFFICACY

Mycobacterium tuberculosis, the causative agent of tuberculosis, is the most lethal single infectious agent afflicting man today causing 2 million deaths per year. The World Health Organization recommends a vaccine as the best option to prevent this disease. The current vaccine, BCG, has a variable efficacy and does not protect adults. It is known that BCG vaccine becomes sequestered in special phagosome compartments of macrophages that do not fuse with lysosomes. Since lysosome fusion is necessary for peptide production and T cell priming leading to protective TH1 immunity, we hypothesized that vaccine efficacy is reduced and occurs perhaps due to non-lysosome dependent mechanisms. We therefore proposed an in depth analysis of phagosome environment, and its proteome to unravel mechanisms of antigen processing and presentation. We initially discovered that three mechanisms of pH regulation including vacuolar proton ATPase, phagocyte oxidase and superoxide dismutase (SOD) secretion from BCG vaccine affect antigen processing within phagosomes. These studies led to the discovery that a mutant of BCG vaccine which lacked SOD was a better vaccine. Subsequently, the proteomic analysis of vaccine phagosomes led to the discovery of novel protease (γ-secretase) enriched on BCG vaccine phagosomes. We then demonstrated that these proteases generated a peptide from the BCG vaccine which was presented through the MHC-II pathway to T cells and induced a TH1 response. The specificity of antigen production from γ-secretase was confirmed through siRNA knockdown of the components of the protease namely, nicastrin, presenilin and APH, which led to a decrease in antigen presentation. We therefore conclude that, even though BCG phagosomes are sequestered and do not fuse with lysosomes to generate peptide antigens, there are complex and novel in situ mechanisms within phagosomes that are capable of generating an immune response. We conclude that TH1 immunity to BCG vaccine arises mostly due to non-lysosome dependent immune mechanisms of macrophages and dendritic cells.

Is vaginal hyaluronic acid as effective as vaginal estriol for vaginal dryness relief?

In a multicenter, randomized, controlled, open-label, parallel- group trial hyaluronic acid vaginal gel (Hyalofemme) was compared to estriol vaginal cream (Ovestin) in women with vaginal dryness due to various causes. A total of 144 supposedly postmenopausal women below age 70 years were randomized in a 1:1 ratio to either receive hyaluronic acid vaginal gel (5 g per application) or estriol vaginal cream (0.5 g cream per application = 0.5 mg estriol) every 3 days for a total of ten applications, respectively. Exclusion criteria included vaginal infections, conventional contraindications to estrogens, use of vaginal products other than the investigational compounds, being unmarried, pregnant, or breastfeeding. The aim of the study was to test for non-inferiority of hyaluronic acid vaginal gel compared to estriol vaginal cream. The primary efficacy end point was the percentage (%) improvement in vaginal dryness, with the secondary end points being the percentage (%) improvements in vaginal itching, burning, and dyspareunia. Efficacy was assessed by using a visual analog scale (VAS) (0-10; 0 = absent, 10 = intolerable) at baseline (V0), during telephone contact after the third administration (V1), and at the final visit after the tenth administration (V2). Safety parameters included vaginal pH, endometrial thickness, and a vaginal smear for vaginal microecosystem assessment. Adverse events were recorded according to international guidelines. 133 women completed the study. At baseline, participants' characteristics did not differ significantly. Mean age was 54 years, time since menopause was 5 years on average, and cause of menopause was mostly natural. However, mean menstrual cycle days were also reported, although according to inclusion criteria only postmenopausal women were eligible for the study. At V1, an improvement in vaginal dryness was reported by about 49 % of women using hyaluronic acid vaginal gel, and by 53 % of women using estriol vaginal cream (p = 0.31). At V2, the percentage improvement rates were 84 and 89 % (p = 0.13), respectively. Improvement rates for vaginal itching, burning, and dyspareunia at V2 were about 86, 85, and 57 % for hyaluronic acid vaginal gel, and 82, 87, and 62 % for estriol vaginal cream (p[0.05), respectively. After treatment, vaginal pH was significantly lower in estriol-treated women compared to those having received hyaluronic acid. Endometrial thickness did not differ between groups. In the majority of women, the vaginal microenvironment remained unaffected by treatment. However, the proportion of women whose abnormal vaginal microecological results became normal was higher in women using estriol vaginal cream. Adverse events (suspected to be) related to the investigational compounds were minor and included vaginal infection and genital itching. The authors concluded that hyaluronic acid vaginal gel was not inferior to estriol vaginal cream in women presenting with vaginal dryness. They suggest using hyaluronic acid vaginal gel not only as an alternative treatment to vaginal estrogens, but also to consider its general use in women presenting with vaginal dryness of any cause.

Baseline hypovitaminosis D is not associated with poor clinical outcomes in osteoarticular infections

OBJECTIVES Although vitamin D is recognized as an important factor in bone health, its role in osteoarticular infections is unclear. We hypothesized that low vitamin D (25-hydroxycholecalciferol) levels are associated with a lower likelihood of treatment success in osteoarticular infections. METHODS This was a retrospective cohort study of patients with orthopedic infections who had a 25-hydroxycholecalciferol level drawn when their infection was diagnosed. Outcomes were determined at early (3-6 months) and late (≥6 months) follow-up after completing intravenous antibiotics. RESULTS We included 223 patients seen during an 11-month period with osteoarticular infections and baseline 25-hydroxycholecalciferol levels. During the initial inpatient management of the infection, hypovitaminosis D was identified and treated. The mean 25-hydroxycholecalciferol level was 23±14ng/ml; 167 (75%) patients had levels <30ng/ml. Overall, infection treatment success was 91% (159/174) at early follow-up and 88% (145/164) at late follow-up. 25-Hydroxycholecalciferol baseline levels were similar in those with and without successful clinical outcomes, both at early (25±15 vs. 21±9ng/ml; p=0.3) and late follow-up (25±15 vs. 23±16ng/ml; p=0.6). CONCLUSIONS To our knowledge this is the first report on hypovitaminosis D and its impact on outcomes of osteoarticular infections. Hypovitaminosis D was frequent in this cohort. With vitamin D repletion, there was no difference in treatment success whether patients had baseline hypovitaminosis or not.

Quasi-Self-Dual Exponential Lévy Processes

The important application of semistatic hedging in financial markets naturally leads to the notion of quasi--self-dual processes. The focus of our study is to give new characterizations of quasi--self-duality. We analyze quasi--self-dual Lévy driven markets which do not admit arbitrage opportunities and derive a set of equivalent conditions for the stochastic logarithm of quasi--self-dual martingale models. Since for nonvanishing order parameter two martingale properties have to be satisfied simultaneously, there is a nontrivial relation between the order and shift parameter representing carrying costs in financial applications. This leads to an equation containing an integral term which has to be inverted in applications. We first discuss several important properties of this equation and, for some well-known Lévy-driven models, we derive a family of closed-form inversion formulae.