In this paper energy bands and Berry curvature of graphene was studied. Desired Hamiltonian regarding the next-nearest neighbors obtained by tight binding model. By using the second quantization approach, the transformation matrix is calculated and the Hamiltonian of system is diagonalized. With this Hamiltonian, the band structure and wave function can be calculated. By using calculated wave f...

in the present paper, we 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 $pge 1$. we investigate its topological properties and inclusion relations. moreover, we consider the problem of fin...

Proteoglycans are glycosylated proteins which have covalently attached highly anionic glycosaminoglycans. Many forms of proteoglycans are present in virtually all extracellular matrices of connective tissues. The major biological function of proteoglycans derives from the physicochemical characteristics of the glycosaminoglycan component of the molecule, which provides hydration and swelling pr...

The organs of the adult reproductive system can undergo extensive remodelling, experiencing rapid changes in tissue mass and function. Much of this matrix remodelling is attributed to the action of matrix metalloproteinases. Matrix metalloproteinase family members are expressed in a highly-regulated manner in many reproductive processes, including menstruation, ovulation, implantation, and uter...

In this paper we consider algorithms for the matrix sector function, which is a generalization of the matrix sign function. We develop algorithms for computing the matrix sector function based on the (real) Schur decompositions, with and without reordering and the Parlett recurrence. We prove some results on the convergence regions for the specialized versions of Newton’s and Halley’s methods a...

Cell adhesions mediate important bidirectional interactions between cells and the extracellular matrix. They provide an interactive interface between the extracellular chemical and physical environment and the cellular scaffolding and signaling machinery. This dynamic, reciprocal regulation of intracellular processes and the matrix is mediated by membrane receptors such as the integrins, as wel...

We introduce a new five-parameter distribution called the beta exponentiated&nbsp;Gumbel (BEG) distribution that includes the beta Gumbel, exponentiated Gumbel and&nbsp;Gumbel distribution. Expressions for the distribution function, density function and&nbsp;rth moment of the new distribution and order statistics are obtained. We discuss&nbsp;estimation of the parameters by maximum liklelihood ...