Abstract In the present paper, we study existence of nonnegative solutions to Dirichlet problem ℒ p , q M ⁢ u := - mathvariant="normal">Δ + <...

Background: The Wilm’s tumor gene 1 (WT1) encodes a zinc finger transcription factor that is inactivated in a subset of Wilm’s tumors. It plays a crucial role in growth, proliferation and development of some embryonic and adult organs. WT1 is expressed as a tumor associated antigen (TAA) in various types of solid and hematopoietic malignancies and can be employed as a useful marker for targeted...

We formulate a multi-valued version of the Tietze-Urysohn extension theorem. Precisely, we prove that any upper semicontinuous multi-valued map with nonempty closed convex values defined on a closed subset (resp. closed perfectly normal subset) of a completely normal (resp. of a normal) space X into the unit interval [0, 1] can be extended to the whole space X. The extension is upper semicontin...

Understanding the connection between sympathetic activity and essential hypertension is still rudimentary. We studied interrelationships of plasma catecholamines, plasma renin activity (PRA), aldosterone, sodium intake, and therapeutic response of 20 normal renin hypertensives. Based on plasma norepinephrine (NE), this population fell into two distinct subsets. The 11 patients in the "normal" N...

‎darafsheh and assari in [normal edge-transitive cayley graphs on non-abelian groups of order 4p‎, ‎where $p$ is a prime number‎, ‎sci‎. ‎china math‎., ‎56 (1) (2013) 213-219.] classified the connected normal edge transitive and‎ ‎$frac{1}{2}-$arc-transitive cayley graph of groups of order $4p$‎. ‎in this paper we continue this work by classifying the‎ ‎connected cayley graph of groups of order...

To determine whether T cells, like B cells, can become clonally expanded in normal individuals as a function of age, we compared the T cell V beta repertoire of cord blood to that of peripheral blood from normal donors over 65 yr of age. T cells from elderly subjects contained expanded subsets (greater than the mean+three standard deviations) of T cell receptor (TCR) V beta populations. These e...

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A Cayley graph over a group G is said to be central if its connection set normal subset of G. We prove that every simple has at most two pairwise nonequivalent representations associated with the subgroups $${{\,\mathrm{Sym}\,}}(G)$$ induced by left and right multiplications also provide an algorithm which, given $$\Gamma $$ almost whose socle bounded index, finds full in time polynomial size

Let $X\subset \PP^r$ be an integral projective variety. We study the dimensions of joins several copies osculating varieties $J(X,m)$ $X$. Our methods are general, but we give a full description in all cases only if $X$ is linearly normal embedding $\PP^1\times \PP^1$. For these embeddings \PP^1$ examples and then one copy arbitrary number

A Cayley graph Cay(G,S) on a group G with respect to a Cayley subset S is said to be normal if the right regular representation R(G) of G is normal in the full automorphism group of Cay(G,S). For a positive integer n, let Γn be a graph having vertex set {xi, yi | i ∈ Z2n} and edge set {{xi, xi+1}, {yi, yi+1}, {x2i, y2i+1}, {y2i, x2i+1} | i ∈ Z2n}. In this paper, it is shown that Γn is a Cayley ...