Stimulated phosphatidylinositol breakdown, followed by compensatory resynthesis, is a response of a wide variety of cells to many hormones and neurotransmitters. Until recently, most work on this response employed secretory tissues, nervous tissues or smooth muscles, and the most intensively studied stimuli were muscarinic, cholinergic and a-adrenergic. As a tentative synthesis of all of these ...

The Beltrami flow is an effective tool for smoothing images in many computer vision tasks. However, a deep problem that is how to set the right embedding space is not solved in the Beltrami framework. In this paper, we attempt to find a suitable embedding space by a nonlinear map. First, the image space is mapped into a high-dimensional feature space whose dimension may be infinite. Then the Be...

In this paper we first modify a widely used discrete Laplace Beltrami operator proposed by Meyer et al over triangular surfaces, and then establish some convergence results for the modified discrete Laplace Beltrami operator over the triangulated spheres. A sequence of spherical triangulations which is optimal in certain sense and leads to smaller truncation error of the discrete Laplace Beltra...

The convergence property of the discrete Laplace–Beltrami operators is the foundation of convergence analysis of the numerical simulation process of some geometric partial differential equations which involve the operator. In this paper we propose several simple discretization schemes of Laplace–Beltrami operators over triangulated surfaces. Convergence results for these discrete Laplace–Beltra...

The conventional magnetic induction equation that governs hydromagnetic dynamo action is transformed into an equivalent integral equation system. An advantage of this approach is that the computational domain is restricted to the region occupied by the electrically conducting fluid and to its boundary. This integral equation approach is first employed to simulate kinematic dynamos excited by Be...

We study the Dirichlet problem as with continuous boundary data in arbitrary simply connected bounded domains D of complex plane where f satisfies degenerate Beltrami equation a. e. D. give terms BMO and FMO criteria well a number other integral on existence representation regular discrete open solutions to stated above problem.

Anordered configuration of a vector field on an elastic curved surface induces a long-range interaction with theGaussian curvature of the surface through theGreen function of the Laplace–Beltrami operator of the surface. This in-plane orientational order configuration gives rise to a stress inducing a competition between this effective interaction and the surface tension. In this workwe obtain ...

Surface parameterizations and registrations are important in computer graphics and imaging, where 1-1 correspondences between meshes are computed. In practice, surface maps are usually represented and stored as three-dimensional coordinates each vertex is mapped to, which often requires lots of memory. This causes inconvenience in data transmission and data storage. To tackle this problem, we p...