the numerical methods are of great importance for approximating the solutions of nonlinear ordinary or partial differential equations, especially when the nonlinear differential equation under consideration faces difficulties in obtaining its exact solution. in this latter case, we usually resort to one of the efficient numerical methods. in this paper, the chebyshev collocation method is sugge...

The Value of Liquidity investments and derivatives space, and this paper provides some quantitative insights on the value of liquidity. Abstract We present a game-theoretic example that helps to illustrate the value of liquidity. These insights are applicable to hedge fund investors since hedge funds have different lock-up and redemption terms. This game also shows the danger of relying on intu...

A selective smoothed finite element method (Selective S-FEM) is developed for dynamic 3D analysis of extremely large deformation of incompressible bio-tissues, using the simplest 4-node tetrahedron elements. In the present selective S-FEM, face-based Smoothed FEM (FS-FEM) and node-based Smoothed FEM (NS-FEM) are, respectively, used for the deviatoric and volumetric parts of the deformation of i...

A model of postphotodissociative monomolecular (geminate) recombination of heme proteins with small ligands (NO, O2 or CO) is represented. The non-exponential decay with time for the probability to find a heme in unbound state is interpreted in terms of diffusion-like migration of ligand between protein cavities. The temporal behavior for the probability is obtained from numerical simulation an...

In this work we consider a nite element approach to solving the coupled Navier Stokes (NS) and Fokker Planck (FP) multiscale model that describes the dynamics of dilute polymeric uids. Deterministic approaches such as ours have not received much attention in the literature because they present a formidable computational challenge due to the fact that the analytical solution of the Fokker Planck...

silver salts and nanosilver (ns) are the common antimicrobial used in the treatment of chronic wounds, so they are important to assess their dermal toxicity. therefore, in this study, the possible dermal toxicity of ns particles and silver nitrate (agno3), was tested by determining the serum level of transforming growth factor-β1(tgf-β1) and study on of mouse skin tissue. in this study, 30 balb...

Silver salts and nanosilver (NS) are the common antimicrobial used in the treatment of chronic wounds, so they are important to assess their dermal toxicity. Therefore, in this study, the possible dermal toxicity of NS particles and silver nitrate (AgNO3), was tested by determining the serum level of transforming growth factor-β1(TGF-β1) and study on of mouse skin tissue. In this stu...

Silver salts and nanosilver (NS) are the common antimicrobial used in the treatment of chronic wounds, so they are important to assess their dermal toxicity. Therefore, in this study, the possible dermal toxicity of NS particles and silver nitrate (AgNO3), was tested by determining the serum level of transforming growth factor-β1(TGF-β1) and study on of mouse skin tissue. In this stu...

We study stability, accuracy and efficiency of algorithms for a new regularization of the NSE, the NS-ω model (in which the vorticity term, ω = ∇× u, is averaged) given by ut − u× (∇× u) +∇q − ν∆u = f,∇ · u = 0. This is similar to the NS-alpha model (in which the nonlinear term is u × ∇ × u), but the small difference opens attractive algorithmic possibilities. We give tests both confirming the ...

The paper deals with a special way of the construction of boundary conditions for the compressible gas flow. The solution of the Riemann problem is used at the boundary. It can be shown, that the unknown one-side initial condition for this problem can be partially replaced by the suitable complementary condition. Authors work with such initial-boundary problem and suggest the complementary cond...