the current paper focuses on some analytical techniques to solve the non-linear duffing oscillator with large nonlinearity. four different methods have been applied for solution of the equation of motion; the variational iteration method, he’s parameter expanding method, parameterized perturbation method, and the homotopy perturbation method. the results reveal that approximation obtained by th...

To estimate gene regulatory networks, it is important that we know the number of connections, or sparseness of the networks. It can be expected that the robustness to perturbations is one of the factors determining the sparseness. We reconstruct a semi-quantitative model of gene networks from gene expression data in embryonic development and detect the optimal sparseness against perturbations. ...

MOTIVATION Distinguishing direct from indirect influences is a central issue in reverse engineering of biological networks because it facilitates detection and removal of false positive edges. Transitive reduction is one approach for eliminating edges reflecting indirect effects but its use in reconstructing cyclic interaction graphs with true redundant structures is problematic. RESULTS We p...

All-order relativistic many-body calculations of removal energies are carried out for 3s , 3p1/2 , 3p3/2 , 3d3/2 , 3d5/2 , and 4s states of sodium and sodiumlike ions with nuclear charges Z in the range 12–16. Hyperfine constants are evaluated for each state, and reduced dipole matrix elements are determined for 3p1/2-3s , 3p3/23s , 3d3/2-3p1/2 , 3d3/2-3p3/2 , 3d5/2-3p3/2 , 4s-3p1/2 , and 4s-3p...

During terminal differentiation, mammalian epidermal lipids undergo striking changes in both composition and distribution. Phospholipids and neutral lipids are replaced by a mixture of ceramides and neutral lipids organized in intercellular lamellar bilayers. Whether all of these lipids and/or whether specific lipid classes regulate permeability barrier function is not known. When hairless mice...

Semi-solid materials undergo strain localization and shear band formation as a result of granular nature of semi-solid deformation. In the present study, to analyze the shear localization, a unified viscoplastic constitutive model was developed for the homogeneous flow. Then, a linearized analysis of the stability performed by examining the necessary condition for the perturbation growth. For t...

Abstract This article considers the link removal problem in a strongly connected directed network with goal of minimizing dominant eigenvalue network’s adjacency matrix while maintaining its strong connectivity. Due to complexity problem, this focuses on computing suboptimal solution. Furthermore, it is assumed that knowledge overall topology not available. calls for distributed algorithms whic...

In this paper, Elzaki Homotopy Perturbation Method is employed for solving linear and nonlinear differential equations with a variable coffecient. This method is a combination of Elzaki transform and Homotopy Perturbation Method. The aim of using Elzaki transform is to overcome the deficiencies that mainly caused by unsatised conditions in some semi-analytical methods such as Homotopy Perturbat...

in this paper, first a new homotopy perturbation method for solving a fractional order nonlinear telegraph equation is introduced. by applying the proposed method, the nonlinear equation is translated to linear equations for per iteration of homotopy perturbation method. then, the obtained problems are solved with separation method. in the examples, it is illustrated that the exact solution is ...

A simple inverse model is proposed to deduce hemisphere-integrated COS flux based on published time series of total column COS. The global atmosphere is divided into two boxes representing the Northern and Southern Hemispheres, and the total column COS data from several stations are used to calculate hemispheric COS loadings. The integrated flux within each hemisphere is calculated as a linear ...