Receptor-stimulated phosphatidylinositol (Ptdlns) metabolism was discovered by Hokin & Hokin in 1953 and substantially characterized by the same workers during the following few years (see Hawthorne, 1960). However, the function of this response remained obscure until Michell (1975) realized that it might in some way be responsible for the receptor-stimulated elevation in the cytoplasmic concen...

We present a new high-order, local meshfree method for numerically solving reaction diffusion equations on smooth surfaces of codimension 1 embedded in Rd. The novelty of the method is in the approximation of the Laplace–Beltrami operator for a given surface using Hermite radial basis function (RBF) interpolation over local node sets on the surface. This leads to compact (or implicit) RBF gener...

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...

We present a new high-order, local meshfree method for numerically solving reaction 5 diffusion equations on smooth surfaces of co-dimension one embedded in Rd. The novelty of the 6 method is in the approximation of the Laplace-Beltrami operator for a given surface using Hermite 7 radial basis function (RBF) interpolation over local node sets on the surface. This leads to compact 8 (or implicit...

The asymptotic dynamics of finite-size particles is governed by a slow manifold that is globally attracting for sufficiently small Stokes numbers. For neutrally buoyant particles suspensions , the slow dynamics coincide with that of infinitesimally small particles, therefore the suspension dynamics should synchronize with Lagrangian particle motions. Paradoxically, recent studies observe a scat...

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...