Enumerative aspects of the Gross-Siebert program

We present enumerative aspects of the Gross-Siebert program in this introductory survey. After sketching the program's main themes and goals, we review the basic definitions and results of logarithmic and tropical geometry. We give examples and a proof for counting algebraic curves via tropical curves. To illustrate an application of tropical geometry and the Gross-Siebert program to mirror symmetry, we discuss the mirror symmetry of the projective plane.Comment: A version of these notes will appear as a chapter in an upcoming Fields Institute volume. 81 page

Statistical tools to improve assessing agreement between several observers

In the context of assessing the impact of management and environmental factors on animal health, behaviour or performance it has become increasingly important to conduct (epidemiological) studies in the field. Hence, the number of investigated farms per study is considerably high so that numerous observers are needed for investigation. In order to maintain the quality and validity of study results calibration meetings where observers are trained and the current level of agreement is assessed have to be conducted to minimise the observer effect. When study animals were rated independently by the same observers by a categorical variable the exclusion test can be performed to identify disagreeing observers. This statistical test compares for each variable and each observer the observer-specific agreement with the overall agreement among all observers based on kappa coefficients. It accounts for two major challenges, namely the absence of a gold-standard observer and different data type comprising ordinal, nominal and binary data. The presented methods are applied on a reliability study to assess the agreement among eight observers rating welfare parameters of laying hens. The degree to which the observers agreed depended on the investigated item (global weighted kappa coefficients: 0.37 to 0.94). The proposed method and graphical description served to assess the direction and degree to which an observer deviates from the others. It is suggested to further improve studies with numerous observers by conducting calibration meetings and accounting for observer bias

A quantitative approach to analyse linkages between antimicrobial resistance properties in Salmonella Typhimurium isolates

This study used statistical methods to investigate linkages in phenotypic resistance profiles in a population sample of 321 Salmonella Typhimurium isolates from sporadic salmonellosis cases in Lower Saxony, Germany, collected during 2008–2010. A resistance index was applied to calculate the conditional probability of resistance to one antimicrobial agent given the resistance to one or more other antimicrobial agent(s). A susceptibility index was defined analogously. A contingency plot, which visualizes the association between resistances to two antimicrobial agents, facilitated the interpretation. Linkages between minimum inhibitory concentrations (MIC) were analysed using Spearman's rank correlation coefficient and jittered scatter plots. Applying these methods provided a compact description of multi-resistance and linkages between resistance properties in large datasets. Moreover, this approach will improve monitoring of antimicrobial resistance dynamics of bacteria in human or animal populations by identifying linked resistance to antimicrobial agents (cross- or co-resistance) with a non-molecular method

Kinetic, Spectroscopic, and Structural Investigations of the Soybean Lipoxygenase-1 First-Coordination Sphere Mutant, Asn694Gly † , ‡

In wild-type soybean LO-1 (WT sLO-1), Asn694 is a weak sixth ligand that is thought to be critical for enzymatic catalysis. In this investigation, N694G sLO-1 was studied to probe its contribution at this sixth ligand position to the kinetic and spectroscopic properties. The k(cat) value of N694G is approximately 230 times lower than that of WT sLO-1 at 25 degrees C, which can be partially explained by a lowered reduction potential of the iron as seen as a shift in the visible ligand-to-metal charge-transfer band (lambda(max) = 410 nm for N694G and lambda(max) = 425 nm for WT sLO-1). This conclusion was supported by a faster rate of oxidation of N694G by the product than that of WT sLO-1 (k(2) = 606 s(-)(1) for N694G and k(2) = 349 s(-)(1) for WT sLO-1). These results suggest a stronger ligand at the active site iron than the native Asn694, which is confirmed to be a water bound to the Fe(II) in the crystal structure. This produces a six-coordinate circular dichroism/magnetic circular dichroism (CD/MCD) spectra for ferrous N694G and an intermediate rhombic electron paramagnetic resonance (EPR) signal for ferric N694G. The EPR spectrum and its pH dependence suggest that the coordination environment of ferric N694G contains one hydroxide and one water. On the basis of both kinetic and structural factors, we propose that the Asn694 water-derived ligand would likely be a hydroxide and the active site, water-derived ligand a water in the ferric state, hence lowering the reaction rate of N694G more than would be expected from the lowered reduction potential alone

A quantitative approach to analyse linkages between antimicrobial resistance properties in Salmonella

This study used statistical methods to investigate linkages in phenotypic resistance profiles in a population sample of 321 Salmonella Typhimurium isolates from sporadic salmonellosis cases in Lower Saxony, Germany, collected during 2008–2010. A resistance index was applied to calculate the conditional probability of resistance to one antimicrobial agent given the resistance to one or more other antimicrobial agent(s). A susceptibility index was defined analogously. A contingency plot, which visualizes the association between resistances to two antimicrobial agents, facilitated the interpretation. Linkages between minimum inhibitory concentrations (MIC) were analysed using Spearman's rank correlation coefficient and jittered scatter plots. Applying these methods provided a compact description of multi-resistance and linkages between resistance properties in large datasets. Moreover, this approach will improve monitoring of antimicrobial resistance dynamics of bacteria in human or animal populations by identifying linked resistance to antimicrobial agents (cross- or co-resistance) with a non-molecular method