Let 2 be ordered by set inclusion and let B ⊆ 2 be an antichain of size n := |B|. An antichain B is k-regular for some non-negative integer k, if for each i ∈ [m] there are exactly k sets B1, B2, . . . , Bk ∈ B containing i. In this case we say that B is a (k, m, n)-antichain. Let 2 ≤ k ≤ m − 2 be positive integers. In this paper we show that a (k, m, n)-antichain exists if and only if k + 1 ≤ ...

Aydogan, A.,1* Sezer, K.,3 Ozmen, O.,1 Haligur, M.2 and Albay, M.K.3 1 University of Mehmet Akif Ersoy, Faculty of Veterinary Medicine, Department of Pathology, Istiklal Yerleskesi, 15030, Burdur-Turkey. 2 University of Cukurova, Faculty of Ceyhan Veterinary Medicine, Department of Pathology, 01000, Adana-Turkey. 3 University of Mehmet Akif Ersoy, Faculty of Veterinary Medicine, Department of I...

objective(s):an earlier meta-analysis on gene expression data derived from four microarray, two cdna library, and one sage experiment had identified rgs5 as one of only ten non-housekeeping genes that were reported to be expressed in human trabecular meshwork (tm) cells by all studies. rgs5 encodes regulator of g-protein signaling-5. the tm tissue is the route of aqueous fluid outflow, and is r...

The action of PGL(2,2m) on the set of exterior lines to a nonsingular conic in PG(2,2m) affords an association scheme, which was shown to be pseudocyclic in [H.D.L. Hollmann, Association schemes, Master thesis, Eindhoven University of Technology, 1982]. It was further conjectured in [H.D.L. Hollmann, Association schemes, Master thesis, Eindhoven University of Technology, 1982] that the orbital ...

We first show that every Moufang loop L which contains an abelian associative subloop M of index two and odd order must, in fact, be a group. We then use this to settle the question ”For what value of n = 2m, m odd, must a Moufang loop of order n be associative?” Introduction: This paper is motivated by a question asked by Rajah and Jamal in [19]: If L is a Moufang loop of order 2m with an abel...

Evidence is provided that macrophages can make M-1 or M-2 responses. The concept of M-1/M-2 fomented from observations that macrophages from prototypical Th1 strains (C57BL/6, B10D2) are more easily activated to produce NO with either IFN-gamma or LPS than macrophages from Th2 strains (BALB/c, DBA/2). In marked contrast, LPS stimulates Th2, but not Th1, macrophages to increase arginine metaboli...