Computation of Gutman Index of Some Cactus Chains

Let G be a finite connected graph of order n. The Gutman index Gut(G) of G is defined as $\sum_{\{x,y\}\subseteq V(G)}deg(x)deg(y)d(x, y)$, where deg(x) is the degree of vertex x in G and d(x, y) is the distance between vertices x and y in G. A cactus graph is a connected graph in which no edge lies in more than one cycle. In this paper we compute the exact value of Gutman index of some cactus chains

Sex-Specific Effects of a Wartime-Like Radiation Exposure on Cognitive Function.

Evaluating the risk for central nervous system (CNS) effects after whole-body or partial-body irradiation presents challenges due in part to the varied exposure scenarios in the context of occupational, accidental or wartime releases. Risk estimations are further complicated by the fact that robust changes in brain function are unlikely to manifest until significantly late post exposure times. Collectively, the current data regarding CNS radiation risk are conflicting in humans and a survey of the animal model data shows that it is similarly inconsistent. Due to the sparseness of such data, the current study was conducted using male and female mice to evaluate the brain for the delayed effects of a 2 Gy whole-body exposure to c rays starting six months postirradiation. Behavioral testing indicated sex-specific differences in the induction of anxiety-like behaviors and in the ability to abolish fear memories. Molecular analyses showed alterations in post-synaptic protein levels that might affect synaptic plasticity and increased levels of global DNA methylation, suggesting a potential epigenetic mechanism that might contribute to radiation-induced cognitive dysfunction. These data add to the understanding of the CNS response to whole-body irradiation and may lead to improved risk assessment and provide guidance in the development of effective radiation countermeasures to protect military personnel and civilians alike

Global oil risk price management in Iran and Russia

Oil is one of the most important sources of income for oil-exporting countries such as the Russian Federation and Iran, as well as the main raw material in the production process in oil-importing countries. Risks fluctuations in world oil prices can cause sovereign financial risks of instability in macroeconomic variables in both groups of oil exporting and importing countries. Negative shocks in world oil prices for countries such as Iran and Russia, whose economic structure is oriented towards oil and provides a significant part of the state budget through oil, could have significant consequences for the economies of these countries. Such fluctuations not only affect the economies of oil-importing countries, but are also one of the main causes of disruptions in the economies of oil-exporting countries. This study examines the government's management of risk fluctuations in world oil prices and its actions in Iran and Russia. The results of this study show that Iran and Russia, as sanctioned countries and oil exporters, have taken various measures to deal with these shocks, the most important of which is the creation of sovereign wealth funds in the two countries. In this article, the characteristics of national development funds in Iran and Russia are compared. The differences between Iran and Russia in risk management and the structure of these funds are shown

On the roots of total domination polynomial of graphs, II

Let $G = (V, E)$ be a simple graph of order $n$. The total dominating set of $G$ is a subset $D$ of $V$ that every vertex of $V$ is adjacent to some vertices of $D$. The total domination number of $G$ is equal to minimum cardinality of total dominating set in $G$ and is denoted by $\gamma_t(G)$. The total domination polynomial of $G$ is the polynomial $D_t(G,x)=\sum_{i=\gamma_t(G)}^n d_t(G,i)x^i$, where $d_t(G,i)$ is the number of total dominating sets of $G$ of size $i$. A root of $D_t(G, x)$ is called a total domination root of $G$. The set of total domination roots of graph $G$ is denoted by $Z(D_t(G,x))$. In this paper we show that $D_t(G,x)$ has $\delta-2$ non-real roots and if all roots of $D_t(G,x)$ are real then $\delta\leq 2$, where $\delta$ is the minimum degree of vertices of $G$. Also we show that if $\delta\geq 3$ and $D_t(G,x)$ has exactly three distinct roots, then $Z(D_t(G,x))\subseteq \{0, -2\pm \sqrt{2}i, \frac{-3\pm \sqrt{3}i}{2}\}$. Finally we study the location roots of total domination polynomial of some families of graphs.Comment: 10 pages, 5 figure

Discovery of AZD3199, an inhaled ultralong acting β2 receptor agonist with rapid onset of action

A series of dibasic des-hydroxy β2 receptor agonists has been prepared and evaluated for potential as inhaled ultra-long acting bronchodilators. Determination of activities at the human β-adrenoreceptors demonstrated a series of highly potent and selective β2 receptor agonists that were progressed to further study in a guinea pig histamine-induced bronchoconstriction model. Following further assessment by; onset studies in guinea pig tracheal rings and human bronchial rings contracted with methacholine (guinea pigs) or carbachol (humans), duration of action studies in guinea pigs after intratracheal (i. t.) administration and further selectivity and safety profiling AZD3199 was shown to have an excellent over all profile and was progressed into clinical evaluation as a new ultra-long acting inhaled β2 receptor agonist with rapid onset of action