Novel antigen presenting cells (APCs) have been described in the murine spleen. Cells have a distinct CD11c(lo)CD11b(hi)MHC-II(-)CD8α(-) phenotype as highly endocytic dendritic-like cells that cross-present antigen to CD8(+) T cells but fail to activate CD4(+) T cells. These cells are named "L-DCs" because they reflect dendritic cells (DCs) produced in long-term spleen cultures (LTC). Similar c...

A typical problem in extremal combinatorics is the following. Given a large number n and a set L, find the maximum cardinality of a family of subsets of a ground set of n elements such that the intersection of any two subsets has cardinality in L. We investigate the generalization of this problem, where intersections of more than 2 subsets are considered. In particular, we prove that when k − 1...

A sum-dominant set is a finite set A of integers such that |A + A| > |A − A|. As a typical pair of elements contributes one sum and two differences, we expect sum-dominant sets to be rare in some sense. In 2006, however, Martin and O’Bryant showed that the proportion of sumdominant subsets of {0, . . . , n} is bounded below by a positive constant as n → ∞. Hegarty then extended their work and s...

Properties of several sorts of lattices of convex subsets of Rn are examined. The lattice of convex sets containing the origin turns out, for n > 1, to satisfy a set of identities strictly between those of the lattice of all convex subsets of Rn and the lattice of all convex subsets of R. The lattices of arbitrary, of open bounded, and of compact convex sets in Rn all satisfy the same identitie...

the occurrence of genotype × environment (ge) interaction has led to the development of several stabilityparameters that can be used to estimate the stability of cultivar performance. repeatability of 20 parametric and non-parametric stability measures across years and yield subsets as well as their association with mean seed yield and interrelationship among them in safflower (carthamus tincto...

Let M be a family of subspaces of a metric space X. The space X is M–homogeneous if any isometry between two subspaces in M can be extended to an isometry of X. In the case when M is the family of all subspaces of X, the space X is said to be fully homogeneous. We show that the space L, where L is a fully homogeneous subspace of R, is R– homogeneous where R is the family of subspaces that are p...

We hypothesized that expression of L-selectin and very late antigen-4 (VLA-4) integrin adhesion molecules would influence cell type-specific redistribution during exercise. Women subjects performed six sets of 10-repetition maximum squats. L-selectin and VLA-4 integrin were measured by using flow cytometry pre- and postexercise on peripheral blood neutrophils and lymphocytes (n = 29 subjects) a...

In this paper, we present a study of various concepts pertaining to compactness properties of a lattice. Special cases include such notions as countably compactness, almost countably compactness, and countably paracompactness. Some investigations in these matters have been done in [2, 7, 14]. We go beyond these results and introduce new subsets of I(L) and their lattices to investigate. This wa...