Transmembrane AMPA receptor regulatory proteins (TARPs) play pivotal roles in AMP A receptor trafficking and gating. Here we examined cellular and subcellular distribution of TARP γ-8 in the mouse brain. Immunoblot and immunofluorescence revealed the highest concentration of γ-8 in the hippocampus. Immunogold electron microscopy demonstrated dense distribution of γ-8 on the synaptic and extrasy...

In this paper, we prove the following sufficient condition for the existence of k-kernels in digraphs: Let D be a digraph whose asymmetrical part is strongly conneted and such that every directed triangle has at least two symmetrical arcs. If every directed cycle γ of D with `(γ) 6≡ 0(mod k), k ≥ 2 satisfies at least one of the following properties: (a) γ has two symmetrical arcs, (b) γ has fou...

We consider the Gamma limit of the Abelian Chern-Simons-Higgs energy

In this note, we present a Γ-convergence type result for ferromagnetic films. We propose a model of films for which we could ensure the strong convergence of minimizers when the exchange parameter vanishes. In this model, the plate thickness is kept constant and the magnetization stays constant in the thickness of the film.

We consider the Gamma limit of the Abelian Chern-SimonsHiggs energy

We study the asymptotic behaviour in terms of Γ-convergence of the following one dimensional energy

We briefly review our theoretical study on the rotation scheme of F1-ATPase. In the scheme, the key factor is the water entropy which has been shown to drive a variety of self-assembly processes in biological systems. We decompose the crystal structure of F1-ATPase into three sub-complexes each of which is composed of the γ subunit, one of the β subunits, and two α subunits adjacent to them. Th...

In this paper, we consider the derivation of the modified Wenzel’s and Cassie’s equations for wetting phenomena on rough surfaces from a three-dimensional phase field model. We derive an effective boundary condition by asymptotic two-scale homogenization technique when the size of the roughness is small. The modified Wenzel’s and Cassie’s equations for the apparent contact angles on the rough s...

We investigate, using the framework of Γ-convergence, a phase-field model proposed in [Torabi et al, Proc. R. Soc. A, 2009] for strongly anisotropic systems; in particular, we prove a full Γ-convergence result for an anisotropic Modica-Mortolatype energy.