In this article we present the modeling of bi-stability view problems described by the activity or firing rates of two interacting population of neurons. Starting from the study of a complex system, the system of stochastic differential equations describing the time evolution of the activity of the two populations of neurons, we point out the strength and weakness of this model and consider its...

The PLIC/SN method that combines the second-order volume tracking method (PLIC-VOF) with the equation of surface normal (SN) vector was recently proposed (M. Sun, “Volume Tracking of Subgrid Particles,” International Journal for Numerical Methods in Fluids, Vol. 66, No. 12, 2011, pp. 1530-1554). The method is able to track the motion of a subgrid particle, but the accuracy is not as good as exp...

We consider semilinear evolution equations for which the linear part is normal and generates a strongly continuous semigroup and the nonlinear part is sufficiently smooth on a scale of Hilbert spaces. We approximate their semiflow by an implicit, A-stable Runge–Kutta discretization in time and a spectral Galerkin truncation in space. We show regularity of the Galerkintruncated semiflow and its ...

ABSTRACT. In the late ten years, the resolution of the equation ∂̄u= f with sharp estimates has been intensively studied for convex domains of finite type in C by many authors. Generally they used kernels constructed with holomorphic support function satisfying “good” global estimates. In this paper, we consider the case of lineally convex domains. Unfortunately, the method used to obtain global...

The tools of modern direct methods are examined and their limitations for solving protein structures discussed. Direct methods need atomic resolution data (1.1-1.2 A) for structures of around 1000 atoms if no heavy atom is present. For low-resolution data, alternative approaches are necessary and these include maximum entropy, symbolic addition, Sayre's equation, group scattering factors and el...

Geodesic rays of class C1,1 are constructed for any test configuration of a positive line bundle L → X, using resolution of singularities. The construction reduces to finding a subsolution of the corresponding Monge-Ampère equation. Geometrically, this is accomplished by the use a positive line bundle on the resolution which is trivial outside of the exceptional divisor.

most of the patients imagine that chest pain is not sign of heart attack. but, may be pain is not sign of heart attack. pain source may be from pulmonary, stomach, intestinal, psychologic or musculoskeletal problems. from these factors, when two or more factors combine to each other, similar signs are happen. all of these factors harden diagnosis of chest pain reason. only with separation of pe...