matrix metalloproteinases (mmps) are a family of neutral proteinases that are important in normal development, cellular differentiation or migration, angiogenesis, neurogenesis, wound repair, and a wide range of pathological processes such as oxidative stress and neuroinflammation. mmps have been demonstrated to increase the permeability of the blood–brain barrier (bbb) by degrading the compone...

The intuitionistic fuzzy set has been applied to game theory very rarely since it was introduced by Atanassov in 1983. The aim of this paper is to develop an effective methodology for solving matrix games with payoffs of Atanassov’s triangular intuitionistic fuzzy numbers (TIFNs). In this methodology, the concepts and ranking order relations of Atanassov’s TIFNs are defined. A pair of bi-object...

An efficient and cost effective protocol for in vitro propagation of Pineapple (Ananas comosus var. Queen) has been developed. In the proliferation stage, agar based Murashige and Skoog (MS) media was supplemented with 3.0 mg/l benzyleaminopurine (BAP), 0.5 mg/l indole acetic acid (IAA) and 50 mg/l adenine sulphate as RBC design experiment. Two approaches were taken to reduce the chemical cost ...

the purpose of the present study is to introduce the sequence space[{l_p}(e,delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left| sum_{j in {e_n}} x_j - sum_{j in e_{n + 1}} x_jright| ^p < infty right},]where $e=(e_n)$ is a partition of finite subsets of the positive integers and $pge 1$. the topological properties and inclusion relations of this space are studied. moreover, the prob...

let $rin textbf{c}^{mtimes m}$ and $sin textbf{c}^{ntimes n}$ be nontrivial involution matrices; i.e., $r=r^{-1}neq pm~i$ and $s=s^{-1}neq pm~i$. an $mtimes n$ complex matrix $a$ is said to be an $(r, s)$-symmetric ($(r, s)$-skew symmetric) matrix if $ras =a$ ($ ras =-a$). the $(r, s)$-symmetric and $(r, s)$-skew symmetric matrices have a number of special properties and widely used in engi...

it is well known that the matrix exponential function has practical applications in engineering and applied sciences. in this paper, we present some new explicit identities to the exponential functions of a special class of matrices that are known as central-symmetric $x$-form. for instance, $e^{mathbf{a}t}$, $t^{mathbf{a}}$ and $a^{mathbf{a}t}$ will be evaluated by the new formulas in this par...

This paper discusses the effective length factor of columns in Khorjini frames. In order to find this factor, a proper approximated method is proposed. In addition, accurate analysis is performed and the results are compared with those from the proposed technique. The comparison demonstrates the accuracy of presented FORMULATIONS. The proposed method is similar to Julian and Lawrence's, which i...

This paper discusses the effective length factor of columns in Khorjini frames. In order to find this factor, a proper approximated method is proposed. In addition, accurate analysis is performed and the results are compared with those from the proposed technique. The comparison demonstrates the accuracy of presented FORMULATIONS. The proposed method is similar to Julian and Lawrences, which is...