Given a finite generalized quadrangle Q, an extended generalized quadrangle is called an extension of Q if each point-residue is isomorphic to Q. There are several known examples of extended generalized quadrangles [4, §1.1], among which those admitting flag-transitive automorphism groups have been extensively studied in their close relations with group theory. Those flag-transitive geometries ...

AIMS Adhesion of a micro-organism to a cell surface is often considered to be the first step in pathogenesis. Inhibiting this process may have therapeutic effects in vivo. This study investigates the inhibitory effects of various bovine whey products on the association of Salm. Typhimurium, E. coli O157:H7 and C. malonaticus (formerly Enterobacter sakazakii) to the human CaCo-2 cell line. Invas...

AIMS Typhoid is a serious disease difficult to be treated with conventional drugs. The aim of this study was to demonstrate a new method for the control of Salmonella typhi growth, through the interference with the bioelectric signals generated from the microbe during cell division by extremely low frequency electromagnetic waves (ELF-EMW-ELF-EM) at resonance frequency. METHODS AND RESULTS Is...

This article is about ovoids of the generalised quadrangle O(5, q) and, equivalently, spreads of the generalised quadrangle Sp(4, q). In a less than conventional way the quadrangles are represented in the field GF (q) which allows some amount of computation to be done. It is shown that an ovoid of O(5, q) meets an elliptic quadric in 1 modulo p points.

Abstract 3D single molecule localization microscopy (SMLM) is an emerging superresolution method for structural cell biology, as it allows probing precise positions of proteins in cellular structures. In supercritical angle (SALM), z-positions fluorophores are extracted from the intensity fluorescence, which strongly depends on their distance to coverslip. Here, we realize full potential SALM a...

The tubular networks of the Drosophila respiratory system and our vasculature show distinct branching patterns and tube shapes in different body regions. These local variations are crucial for organ function and organismal fitness. Organotypic patterns and tube geometries in branched networks are typically controlled by variations of extrinsic signaling but the impact of intrinsic factors on br...

The concept of a tight set of points of a generalised quadrangle was introduced by S. E. Payne in 1987, and that of an m-ovoid of a generalised quadrangle was introduced by J. A. Thas in 1989, and we unify these two concepts by defining intriguing sets of points. We prove that every intriguing set of points in a generalised quadrangle is an m-ovoid or a tight set, and we state an intersection r...

Let 0 be a finite generalized quadrangle of order (q, q2), and suppose that it has a subquadrangle 1 isomorphic to Q(4, q). We show that 0 is isomorphic to the classical generalized quadrangle Q(5, q) if at least one of the following holds: (1) all linear collineations of 1 extend to 0; (2) all subtended ovoids are classical (and we present a uniform proof independent of the characteristic). Fu...