Let r(= r(n))!1 with 3 r n1 for an arbitrarily small constant > 0, and let Gr denote a graph chosen uniformly at random from the set of r-regular graphs with vertex set f1; 2; : : : ; ng. We prove that with probability tending to 1 as n!1, Gr has the following properties: the independence number of Gr is asymptotically 2n log r r and the chromatic number of Gr is asymptotically r 2 log r .

Despite new treatments for castrate-resistant prostate cancer (CRPC), the prognosis of patients with CRPC remains bleak due to acquired resistance to androgen receptor (AR)-directed therapy. The glucocorticoid receptor (GR) and AR share several transcriptional targets, including the anti-apoptotic genes serum and glucocorticoid-regulated kinase 1 (SGK1) and Map kinase phosphatase 1 (MKP1)/dual ...

Androgen receptor (AR)- and glucocorticoid receptor (GR)- mediated signaling play opposite roles in prostate tumorigenesis: AR promotes prostate carcinoma (PC) development, whereas GR acts as a tumor suppressor. Compound A (CpdA) is a stable analogue of an aziridine precursor from the African shrub Salsola tuberculatiformis Botschantzev. It was shown recently that, in model cells, CpdA inhibits...

Glucocorticoids are potent immunosuppressants which work in part by inhibiting cytokine gene transcription. We show here that NF-kappa B, an important regulator of numerous cytokine genes, is functionally inhibited by the synthetic glucocorticoid dexamethasone (DEX). In transfection experiments, DEX treatment in the presence of cotransfected glucocorticoid receptor (GR) inhibits NF-kappa B p65-...

Posttranscriptional regulation is emerging as a key factor in glucocorticoid (GC)-mediated gene regulation. We investigated the role of the human GC receptor (GR) as an RNA-binding protein and its effect on mRNA turnover in human airway epithelial cells. Cell treatment with the potent GC budesonide accelerated the decay of CCL2 mRNA (t(1/2) = 8 ± 1 min versus 62 ± 17 min in DMSO-treated cells) ...

Let F be a field and Gr(i, F ) be the Grassmannian of idimensional linear subspaces of F . A map f : Gr(i, F ) −→ Gr(j, F ) is called nesting if l ⊂ f(l) for every l ∈ Gr(i, F ). Glover, Homer and Stong showed that there are no continuous nesting maps Gr(i, C) −→ Gr(j, C) except for a few obvious ones. We prove a similar result for algebraic nesting maps Gr(i, F ) −→ Gr(j, F ), where F is an al...

Reagentless electrochemical glucose biosensors were developed and investigated. A graphite rod (GR) electrode modified with electrochemically synthesized dendritic gold nanostructures (DGNs) redox mediators (Med) such as ferrocenecarboxylic acid (FCA), 1,10-phenathroline-5,6-dione (PD), N,N,N′,N′-tetramethylbenzidine (TMB) or tetrathiafulvalene (TTF) in combination oxidase (GOx) (GR/DGNs/FCA/GO...

BACKGROUND Parathyroid hormone (PTH) is an effective anti-osteoporosis agent, after binding to its receptor PTHR1, several signaling pathways, including cAMP/protein kinase A (PKA) and phospholipase C (PLC)/protein kinase C (PKC), are initiated through G proteins; with the cAMP/PKA pathway as the major pathway. Earlier studies have reported that PTHR1 might also activate PKC via a PLC-independe...

Aberrant TGFbeta signaling is common in human cancers and contributes to tumor metastasis. Here, we demonstrate that Gr-1+CD11b+ myeloid cells are recruited into mammary carcinomas with type II TGF beta receptor gene (Tgfbr2) deletion and directly promote tumor metastasis. Gr-1+CD11b+ cells infiltrate into the invasive front of tumor tissues and facilitate tumor cell invasion and metastasis thr...