The serological diagnosis of staphylococcal infective endocarditis

Objectives: Establishing the diagnosis of infective endocarditis (IE) can be difficult when blood cultures remain sterile or echocardiography is inconclusive. Staphylococcus aureus is a common aetiological microorganism in IE and is associated with severe valvular destruction and increased mortality. Early diagnosis using culture and antibiotic independent tests would be preferable to allow prompt antibiotic administration. We have developed and evaluated 2 serological assays for the rapid identification of a staphylococcal aetiology in infective endocarditis. The assays measure IgG against whole cells of S. aureus and IgG against lipid S, a novel extracellular antigen released by Gram-positive microorganisms. Methods: Serum was collected from 130 patients with IE and 94 control patients. IgG against whole cells of S. aureus and against lipid S was measured by enzyme linked immunosorbent assay (ELISA). Results: Anti-lipid S IgG titres were higher in IE caused by Gram-positive microorganisms than in controls (p < 0.0001) and higher in staphylococcal IE than in both controls and IE caused by other microorganisms (p = 0.0003). Anti-whole cell staphylococcal IgG was significantly higher in serum from patients with staphylococcal IE than in IE caused by other microorganisms and control samples (p < 0.0001). Conclusion: High anti-whole cell IgG titres are predictive of a staphylococcal aetiology in IE. Elevated serum anti-lipid S IgG titres are predictive of Gram-positive infection compared to controls, very high titres being associated with staphylococcal IE. © 2005 The British Infection Society.

Gram-positive infections in patients with end-stage renal disease

Gram-positive microorganisms, specifically coagulase-negative staphylococci are the most common species recovered from clinical culture specimens of patients with end-stage renal disease. The propensity of coagulase-negative staphylococci (CNS) to cause infection in this patient group has been widely debated. However, it is still unclear how this usually avirulent commensal microorganism produces infection that contributes to high rates of morbidity and mortality in patients with end-stage renal disease. The aim of this thesis was to investigate the rate, geographical distribution, molecular and phenotypic mechanisms of Gram-positive microorganisms associated with infection in renal dialysis patients. In addition, it sought to assess the value of early serological diagnosis of dialysis catheter-associated infection and the effect of antimicrobial treatment regimens on the faecal carriage of enteric microorganisms. In this study, the incidence of haemodialysis catheter-associated infection was established with the Meditrend audit tool. This tool was used to assess the infection outcomes of catheter insertion and management procedures until the catheter was explanted. Introduction of a catheter management protocol decreased the incidence of catheter-related infection. Staphylococcal species recovered from episodes of haemodialysis catheter-associated infection and continuous ambulatory peritoneal dialysis (CAPD)-associated peritonitis were genotyped by determination of macrorestriction profiles with pulsed-field gel electrophoresis. This highlighted horizontal transfer of microorganisms between different patients and the environment. The phenotypic characteristics of these strains were also investigated to determine characteristics that could be used as markers for dialysis catheter-associated infection. The expression of elastase, lipase and esterase by CNS was significantly associated with infection. A rapid enzyme-linked immunosorbent assay incorporating a novel staphylococcal antigen (lipid S) was used to evaluate the early detection of anti-staphylococcal immunoglobulin gamma in patient sera. The comparison of culture positive and culture negative patients demonstrated a steady state of immune activation in both groups. However anti-lipid S serum antibody titres > 1000 were found to be a predictor of infection. The effect on faecal carriage of vancomycin resistant enterococci (VRE) and Clostridium difficile toxins in patients treated with CAPD when empiric cephalosporin therapy was substituted for piperacillin/tazobactam was investigated. The introduction of piperacillin/tazobactam demonstrated a decrease in the faecal carriage of VRE.

Automated synthesis and evaluation of potential new anti-microbial agents

A series of N1-benzylideneheteroarylcarboxamidrazones was prepared in an automated fashion, and tested against Mycobacterium fortuitum in a rapid screen for antimycobacterial activity. Many of the compounds from this series were also tested against Mycobacterium tuberculosis, and the usefulness as M.fortuitum as a rapid, initial screen for anti-tubercular activity evaluated. Various deletions were made to the N1-benzylideneheteroarylcarboxamidrazone structure in order to establish the minimum structural requirements for activity. The N1-benzylideneheteroarylcarbox-amidrazones were then subjected to molecular modelling studies and their activities against M.fortuitum and M.tuberculosis were analysed using quantitative structure-analysis relationship (QSAR) techniques in the computational package TSAR (Oxford Molecular Ltd.). A set of equations predictive of antimycobacterial activity was hereby obtained. The series of N1-benzylidenehetero-arylcarboxamidrazones was also tested against a multidrug-resistant strain of Staphylococcus aureus (MRSA), followed by a panel of Gram-positive and Gram-negative bacteria, if activity was observed for MRSA. A set of antimycobacterial N1-benzylideneheteroarylcarboxamidrazones was hereby discovered, the best of which had MICs against m. fortuitum in the range 4-8μgml-1 and displayed 94% inhibition of M.tuberculosis at a concentration of 6.25μgml-1. The antimycobacterial activity of these compounds appeared to be specific, since the same compounds were shown to be inactive against other classes of organisms. Compounds which were found to be sufficiently active in any screen were also tested for their toxicity against human mononuclear leucocytes. Polyethylene glycol (PEG) was used as a soluble polymeric support for the synthesis of some fatty acid derivatives, containing an isoxazoline group, which may inhibit mycolic acid synthesis in mycobacteria. Both the PEG-bound products and the cleaved, isolated products themselves were tested against M.fortuitum and some low levels of antimycobacterial activity were observed, which may serve as lead compounds for further studies.

Modeling Optical Response of Thin Films: Choice of the Refractive Index Dispersion Law

Determination of the so-called optical constants (complex refractive index N, which is usually a function of the wavelength, and physical thickness D) of thin films from experimental data is a typical inverse non-linear problem. It is still a challenge to the scientific community because of the complexity of the problem and its basic and technological significance in optics. Usually, solutions are looked for models with 3-10 parameters. Best estimates of these parameters are obtained by minimization procedures. Herein, we discuss the choice of orthogonal polynomials for the dispersion law of the thin film refractive index. We show the advantage of their use, compared to the Selmeier, Lorentz or Cauchy models.

Essential Arity Gap of Boolean Functions

In this paper we investigate the Boolean functions with maximum essential arity gap. Additionally we propose a simpler proof of an important theorem proved by M. Couceiro and E. Lehtonen in [3]. They use Zhegalkin’s polynomials as normal forms for Boolean functions and describe the functions with essential arity gap equals 2. We use to instead Full Conjunctive Normal Forms of these polynomials which allows us to simplify the proofs and to obtain several combinatorial results concerning the Boolean functions with a given arity gap. The Full Conjunctive Normal Forms are also sum of conjunctions, in which all variables occur.

On a Five-Diagonal Jacobi Matrices and Orthogonal Polynomials on Rays in the Complex Plane

∗ Partially supported by Grant MM-428/94 of MESC.

Problems and Theorems in the Theory of Multiplier Sequences

The purpose of this paper is (1) to highlight some recent and heretofore unpublished results in the theory of multiplier sequences and (2) to survey some open problems in this area of research. For the sake of clarity of exposition, we have grouped the problems in three subsections, although several of the problems are interrelated. For the reader’s convenience, we have included the pertinent definitions, cited references and related results, and in several instances, elucidated the problems by examples.

On the Factorization of the Poincaré Polynomial: A Survey

2000 Mathematics Subject Classification: 13P05, 14M15, 14M17, 14L30.

Oscillation Properties of Some Functional Fourth Order Ordinary Differential Equations

2010 Mathematics Subject Classification: 34A30, 34A40, 34C10.

On the Critical Points of Kyurkchiev’s Method for Solving Algebraic Equations

This paper is dedicated to Prof. Nikolay Kyurkchiev on the occasion of his 70th anniversary This paper gives sufficient conditions for kth approximations of the zeros of polynomial f (x) under which Kyurkchiev’s method fails on the next step. The research is linked with an attack on the global convergence hypothesis of this commonly used in practice method (as correlate hypothesis for Weierstrass–Dochev’s method). Graphical examples are presented.

Lp extremal polynomials. Results and perspectives

2000 Mathematics Subject Classification: 30C40, 30D50, 30E10, 30E15, 42C05.

On Thom Polynomials for A4(−) via Schur Functions

2000 Mathematics Subject Classification: 05E05, 14N10, 57R45.

Some Coefficient Estimates for Polynomials on the Unit Interval

2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05.

Synthesis and Properties of a Series of 1,1,n,n-Tetramethyl[n](2,11)teropyrenophanes

The work described in this thesis revolves around the 1,1,n,ntetramethyl[n](2,11)teropyrenophanes, which are a series of [n]cyclophanes with a severely bent, board-shaped polynuclear aromatic hydrocarbons (PAH). The thesis is divided into seven Chapters. The first Chapter conatins an overview of the seminal work on [n]cyclophanes of the first two members of the “capped rylene” series of PAHs: benzene and pyrene. Three different general strategies for the synthesis of [n]cyclophanes are discussed and this leads in to a discussion of some slected syntheses of [n]paracyclopahnes and [n](2,7)pyrenophanes. The chemical, structural, spectroscopic and photophysical properties of these benzene and pyrene-derived cyclophanes are discussed with emphasis on the changes that occur with changes in the structure of the aromatic system. Chapter 1 concludes with a brief introduction to [n]cyclophanes of the fourth member of the capped rylene series of PAHs: teropyrene. The focus of the work described in Chapter 2 is the synthesis of of 1,1,n,ntetramethyl[n](2,11)teropyrenophane (n = 6 and 7) using a double-McMurry strategy. While the synthesis 1,1,7,7-tetramethyl[7](2,11)teropyrenophane was successful, the synthesis of the lower homologue 1,1,6,6-tetramethyl[6](2,11)teropyrenophane was not. The conformational behaviour of [n.2]pyrenophanes was also studied by 1H NMR spectroscopy and this provided a conformation-based rationale for the failure of the synthesis of 1,1,6,6-tetramethyl[6](2,11)teropyrenophane. Chapter 3 contains details of the synthesis of 1,1,n,n-tetramethyl[n](2,11)teropyrenophanes (n = 7-9) using a Wurtz / McMurry strategy, which proved to be more general than the double McMurry strategy. The three teropyrenophanes were obtained in ca. 10 milligram quantities. Trends in the spectroscopic properties that accompany changes in the structure of the teropyrene system are discussed. A violation of Kasha’s rule was observed when the teropyrenophanes were irradiated at 260 nm. The work described in the fourth Chapter concentrates on the development of gram-scale syntheses of 1,1,n,n-tetramethyl[n](2,11)teropyrenophanes (n = 7–10) using the Wurtz / McMurry strategy. Several major modifications to the orginal synthetic pathway had to be made to enable the first several steps to be performed comfortably on tens of grams of material. Solubility problems severely limited the amount of material that could be produced at a late stage of the synthetic pathways leading to the evennumbered members of the series (n = 8, 10). Ultimately, only 1,1,9,9- tetramethyl[9](2,11)teropyrenophane was synthesized on a multi-gram scale. In the final step in the synthesis, a valence isomerization / dehydrogenation (VID) reaction, the teropyrenophane was observed to become unstable under the conditions of its formation at n = 8. The synthesis of 1,1,10,10-tetramethyl[10](2,11)teropyrenophane was achieved for the first time, but only on a few hundred milligram scale. In Chapter 5, the results of an investigation of the electrophilic aromatic bromination of the 1,1,n,n-tetramethyl[n](2,11)teropyrenophanes (n = 7–10) are presented. Being the most abundant cyclophane, most of the work was performed on 1,1,9,9-tetramethyl[9](2,11)teropyrenophane. Reaction of this compound with varying amounts of of bromine revealed that bromination occurs most rapidly at the symmetryrelated 4, 9, 13 and 18 positions (teropyrene numbering) and that the 4,9,13,18- tetrabromide could be formed exclusively. Subsequent bromination occurs selectively on the symmetry-related 6, 7, 15 and 16 positions (teropyrene numbering), but considerably more slowly. Only mixtures of penta-, hexa-, hepta and octabromides could be formed. Bromination reactions of the higher and lower homologues (n = 7, 8 and 10) revealed that the reactivity of the teropyrene system increased with the degree of bend. Crystal structures of some tetra-, hexa-, hepta- and octa-brominated products were obtained. The goal of the work described in Chapter 6 is to use 1,1,9,9- tetramethyl[9](2,11)teropyrenophane as a starting material for the synthesis of warped nanographenophanes. A bromination, Suzuki-Miyaura, cyclodehydrogenation sequence was unsuccessful, as was a C–H arylation / cyclodehydrogenation approach. Itami’s recently-developed K-region-selective annulative -extension (APEX) reaction proved to be successful, affording a giant [n]cyclophane with a C84 PAH. Attempted bay-region Diels-Alder reactions and some cursory host-guest chemistry of teropyrenophanes are also discussed. In Chapter 7 a synthetic approach toward a planar model compound, 2,11-di-tbutylteropyrene, is described. The synthesis could not be completed owing to solubility problems at the end of the synthetic pathway.

Measurement limitations in knife-edge tomographic phase retrieval of focused IR laser beams

An experimental setup to measure the three-dimensional phase-intensity distribution of an infrared laser beam in the focal region has been presented. It is based on the knife-edge method to perform a tomographic reconstruction and on a transport of intensity equation-based numerical method to obtain the propagating wavefront. This experimental approach allows us to characterize a focalized laser beam when the use of image or interferometer arrangements is not possible. Thus, we have recovered intensity and phase of an aberrated beam dominated by astigmatism. The phase evolution is fully consistent with that of the beam intensity along the optical axis. Moreover, this method is based on an expansion on both the irradiance and the phase information in a series of Zernike polynomials. We have described guidelines to choose a proper set of these polynomials depending on the experimental conditions and showed that, by abiding these criteria, numerical errors can be reduced.