PDE surfaces, which are defined as solutions of partial differential equations (PDEs), offer many modeling advantages in surface blending, free-form surface modeling, and specifying surface s aesthetic or functional requirements. Despite the earlier advances of PDE surfaces, previous PDE-based techniques exhibit certain difficulties such as lack of interactive sculpting capabilities and restrai...

PURPOSE The carcinogenic capacity of B[a]P/B[a]PDE is supported by epidemiologic studies. However, the molecular mechanisms responsible for B[a]P/B[a]PDE-caused lung cancer have not been well investigated. We evaluated here the role of novel target PHLPP2 in lung inflammation and carcinogenesis upon B[a]P/B[a]PDE exposure. EXPERIMENTAL DESIGN We used the Western blotting, RT-PCR, [(35)S]methi...

Adaptive mesh refinement techniques are nowadays an established and powerful tool for the numerical discretization of PDE’s. In recent years, wavelet bases have been proposed as an alternative to these techniques. The main motivation for the use of such bases in this context is their good performances in data compression and the approximation theoretic foundations which allow to analyze and opt...

In this study we consider further analysis on the classification problem of linear second order partial differential equations with non-constant coefficients. The equations are produced by using convolution with odd or even functions. It is shown that the patent of classification of new equations is similar to the classification of the original equations.

To model biochemical systems in which both noise in the chemical reaction process and spatial movement of molecules is important, both the reaction-diffusion master equation (RDME) and Smoluchowski diffusion-limited reaction (SDLR) partial differential equation (PDE) models have been used. In previous work we showed that the solution to the RDME may be interpreted as an asymptotic approximation...

In this paper, we present several new algorithms for estimating the sensitivity of solutions of partial diierential equations to certain parameters in the equations. There has been a great deal of work done on sensitivity analysis using direct linear algebra, but we are concerned with large-scale simulations so the use of direct linear algebra is not feasible. Therefore we have developed a new ...

Sato, Naoki, Kuniya Asai, Satoshi Okumura, Gen Takagi, Richard P. Shannon, Yoko Fujita-Yamaguchi, Yoshihiro Ishikawa, Stephen F. Vatner, and Dorothy E. Vatner. Mechanisms of desensitization to a PDE inhibitor (milrinone) in conscious dogs with heart failure. Am. J. Physiol. 276 (Heart Circ. Physiol. 45): H1699–H1705, 1999.— The goal of this study was to determine the extent to which the effects...

We study the asymptotic behavior of solution of semi-linear PDEs. Neither periodicity nor ergodicity will be assumed. In return, we assume that the coefficients admit a limit in C̀esaro sense. In such a case, the averaged coefficients could be discontinuous. We use probabilistic approach based on weak convergence for the associated backward stochastic differential equation in the S-topology to d...

The present paper aims to derive a partial differential equation (PDE) for the single-time single-point probability density function (PDF) of velocity field turbulent flow. PDF PDE is highly non-linear parabolic-transport equation, which depends on two conditional statistical numerics important physical significance. general form classical Reynolds mean flow (O. Reynolds, Philos. Trans. R. Soc....