Let G be a graph with vertex set V(G) and edge E(G), let d(u,w) denote the length of u−w geodesic in G. For any v∈V(G) e=xy∈E(G), d(e,v)=min{d(x,v),d(y,v)}. distinct edges e1,e2∈E(G), R{e1,e2}={z∈V(G):d(z,e1)≠d(z,e2)}. Kelenc, Tratnik Yero [Discrete Appl. Math. 251 (2018) 204-220] introduced notion an resolving dimension graph: A subset S⊆V(G) is if |S∩R{e1,e2}|≥1 for dimension, edim(G), minimu...

Studies have shown that estradiol-17β (E2) regulates gonadotropin-releasing hormone (GnRH) and GnRH receptor expression in hypothalamus and pituitary. Several studies have shown that GnRH and its receptor are also expressed in peripheral reproductive organs and little is known about their regulations. In this study, GnRH and GnRH receptor structures, functions, their peripheral expressions and ...

Sulforaphane (SFN) is a potent inducer of detoxication enzymes such as NAD(P)H:quinone oxidoreductase 1 (NQO1) and glutathione-S-transferase (GST) via the Kelch-like erythroid-derived protein with CNC homology-associated protein 1 (Keap1)-NF-E2-related factor 2 (Nrf2) signaling pathway. NQO1 reduces the carcinogenic estrogen metabolite, catechol estrogen-3,4-quinone, whereas GSTs detoxify it th...

Passage of Sindbis virus (SIN) in BHK-21 cells has been shown to select for virus mutants with high affinity for the glycosaminoglycan heparan sulfate (HS). Three loci in the viral spike protein E2 (E2:1, E2:70, and E2:114) have been identified that mutate during adaptation and independently confer on the virus the ability to bind to cell surface HS (W. B. Klimstra, K. D. Ryman, and R. E. Johns...

Estrogens are known to regulate the proliferation of breast cancer cells and to alter their cytoarchitectural and phenotypic properties, but the gene networks and pathways by which estrogenic hormones regulate these events are only partially understood. We used global gene expression profiling by Affymetrix GeneChip microarray analysis, with quantitative PCR verification in many cases, to ident...

Systemic lupus erythematosus (SLE) is a chronic inflammatory autoimmune disorder with a high prevalence of hypertension and cardiovascular disease. Because SLE predominantly affects women, estrogen is commonly implicated as a contributor to SLE disease progression. Using an established mouse model of SLE (female NZBWF1), we tested whether estrogen has a causal role in the development of hyperte...

In this paper we study Cohen-Macaulay local rings of dimension d, multiplicity e and second Hilbert coefficient e2 in the case e2=e1−e+1. Let h=μ(m)−d. If e2≠0 then our can prove that type(A)≥e−h−1. type(A)=e−h−1 show associated graded ring G(A) is Cohen-Macaulay. next when type(A)=e−h determine all possible series A. depthG(A) completely determines Series

Passage of Sindbis virus (SIN) in BHK-21 cells has been shown to select for virus mutants with high affinity for the glycoaminoglycan heparan sulfate (HS). Three loci in the viral spike protein E2 have been identified (E2:1; E2:70; E2:114), which mutate during adaptation and independently confer the ability to the virus to bind to cell-surface HS (W.B. Klimstra et al., J. Virol. 72:7357-7366, 1...