Bose et al. [1] asked whether for every simple arrangement A of n lines in the plane there exists a simple n-gon P that induces A by extending every edge of P into a line. We prove that such a polygon always exists and can be found in O(n log n) time. In fact, we show that every finite family of curves C such that every two curves intersect at least once and finitely many times and no three cur...

The shape of any facet of a 3-polytope can be preassigned. That is, given any 3-polytope P a facet F of P and a polygon F’ with the same number of sides as F, there is an isomorphic 3-polytope P’ such that F is a facet of P’ and the isomorphism takes F onto F (see [ 21). It is also known that given any simple circuit C in the graph of a 3-polytope P, there is an isomorphic 3-polytope P’ such th...

The title compound, C(72)F(36), is one of four isomers of C(60)(CF(3))(12) for which crystal structures have been obtained. The fullerene mol-ecule has an idealized I(h) C(60) core with the 12 CF(3) groups arranged in an asymmetric fashion on two ribbons of edge-sharing C(6)(CF(3))(2) hexa-gons, a para-meta-para-para-para-meta-para ribbon and a para-meta-para ribbon, giving an overall pmp(3)mp,...

The effect of galardin, a broad-spectrum matrix metalloproteinase (MMP) inhibitor, was studied in mice kept on a high fat diet (HFD). Five-week-old male wild-type mice were fed the HFD (42% fat) for up to 12 weeks and were daily injected intraperitoneally with the inhibitor (100 mg/kg) or with vehicle. After 12 weeks of the HFD, the body weights of both groups were comparable, but the weight of...

Our objective was to investigate expression of A disintegrin and metalloproteinase (ADAM) and ADAM proteins with a thrombospondin (TS) motif (ADAMTS) family members in adipose tissue of lean and obese mice. Five-week-old male mice were kept on standard chow (SFD) or on high fat diet (HFD) for 15 weeks, and subcutaneous (SC) and gonadal (GON) adipose tissue, as well as mature adipocytes and stro...

A simplicial arrangement of pseudolines is a collection of topological lines in the projective plane where each region that is formed is triangular. This paper refines and develops David Eppstein’s notion of a kaleidoscope construction for symmetric pseudoline arrangements to construct and analyze several infinite families of simplicial pseudoline arrangements with high degrees of geometric sym...

In this paper, we present a plane sweep algorithm for constructing the Voronoi diagram of a set of non-crossing line segments in 2D space using a distance metric induced by a regular k-gon and study the robustness of the algorithm. Following the algorithmic degree model [G. Liotta, F.P. Preparata, R. Tamassia, Robust proximity queries: an illustration of degree-driven algorithm design, SIAM J. ...

Several lines of indirect evidence suggest that subjects with latent infection of the coccidian parasite Toxoplasma gondii have a higher concentration of testosterone than uninfected controls. Here, we searched for direct evidence of latent toxoplasmosis-associated differences in testosterone concentration among a population of 174 female and 91 male students screened for Toxoplasma infection. ...

Treatment of intact toxoplasma tachyzoites with individual mouse monoclonal antibodies to toxoplasma which are directed against individual membrane-associated antigenic determinants facilitated the phagocytosis of toxoplasma and also prepared the toxoplasma for intracellular destruction by nonelicited mouse peritoneal macrophages. In instances in which the organisms survived intracellularly, th...

Let Q(z, w) = − ∏n k=1[(z − ak)(w̄ − āk) − R]. The main result of the paper states that in the case when the nodes aj are situated at the vertices of a regular n-gon inscribed in the unit circle, the matrix Q(ai, aj) is positive definite if and only if R < ρn, where z = 2ρ 2 n − 1 is the smallest 6= −1 zero of the Jacobi polynomial Pn−2ν,−1 ν (z), ν = [n/2].