Uniform convergence of optimal order under a balanced norm of a local discontinuous Galerkin method on a Shishkin mesh

For singularly perturbed reaction-diffusion problems in 1D and 2D, we study a local discontinuous Galerkin (LDG) method on a Shishkin mesh. In these cases, the standard energy norm is too weak to capture adequately the behavior of the boundary layers that appear in the solutions. To deal with this deficiency, we introduce a balanced norm stronger than the energy norm. In order to achieve optimal convergence under the balanced norm in one-dimensional case, we design novel numerical fluxes and propose a special interpolation that consists of a Gauss-Radau projection and a local $L^2$ projection. Moreover, we generalize the numerical fluxes and interpolation, and extend convergence analysis of optimal order from 1D to 2D. Finally, numerical experiments are presented to confirm the theoretical results.Comment: 22pages, two table

High Activity Mutants of Butyrylcholinesterase for Cocaine Hydrolysis

Butyrylcholinesterase (BChE) polypeptide variants of the presently-disclosed subject matter have enhanced catalytic efficiency for (−)-cocaine, as compared to wild-type BChE. Pharmaceutical compositions of the presently-disclosed subject matter include a BChE polypeptide variant having an enhanced catalytic efficiency for (−)-cocaine. A method of the presently-disclosed subject matter for treating a cocaine-induced condition includes administering to an individual an effective amount of a BChE polypeptide variant, as disclosed herein, to lower blood cocaine concentration

High Activity Mutants of Butyrylcholinesterase for Cocaine Hydrolysis

Butyrylcholinesterase (BChE) polypeptide variants of the presently-disclosed subject matter have enhanced catalytic efficiency for (-)-cocaine, as compared to wild-type BChE. Pharmaceutical compositions of the presently-disclosed subject matter include a BChE polypeptide variant having an enhanced catalytic efficiency for (-)-cocaine. A method of the presently-disclosed subject matter for treating a cocaine-induced condition includes administering to an individual an effective amount of a BChE polypeptide variant, as disclosed herein, to lower blood cocaine concentration

High Activity Mutants of Butyrylcholinesterase for Cocaine Hydrolysis

Butyrylcholinesterase (BChE) polypeptide variants of the presently-disclosed subject matter have enhanced catalytic efficiency for (−)-cocaine, as compared to wild-type BChE. Pharmaceutical compositions of the presently-disclosed subject matter include a BChE polypeptide variant having an enhanced catalytic efficiency for (−)-cocaine. A method of the presently-disclosed subject matter for treating a cocaine-induced condition includes administering to an individual an effective amount of a BChE polypeptide variant, as disclosed herein, to lower blood cocaine concentration

High Activity Mutants of Butyrylcholinesterase for Cocaine Hydrolysis

Butyrylcholinesterase (BChE) polypeptide variants of the presently-disclosed subject matter have enhanced catalytic efficiency for (-)-cocaine, as compared to wild-type BChE. Pharmaceutical compositions of the presently-disclosed subject matter include a BChE polypeptide variant having an enhanced catalytic efficiency for (-)-cocaine. A method of the presently-disclosed subject matter for treating a cocaine-induced condition includes administering to an individual an effective amount of a BChE polypeptide variant, as disclosed herein, to lower blood cocaine concentration

High Activity Mutants of Butyrylcholinesterase for Cocaine Hydrolysis

Butyrylcholinesterase (BChE) polypeptide variants of the presently-disclosed subject matter have enhanced catalytic efficiency for (−)-cocaine, as compared to wild-type BChE. Pharmaceutical compositions of the presently-disclosed subject matter include a BChE polypeptide variant having an enhanced catalytic efficiency for (−)-cocaine. A method of the presently-disclosed subject matter for treating a cocaine-induced condition includes administering to an individual an effective amount of a BChE polypeptide variant, as disclosed herein, to lower blood cocaine concentration

High Activity Mutants of Butyrylcholinesterase for Cocaine Hydrolysis

Butyrylcholinesterase (BChE) polypeptide variants of the presently-disclosed subject matter have enhanced catalytic efficiency for (−)-cocaine, as compared to wild-type BChE. Pharmaceutical compositions of the presently-disclosed subject matter include a BChE polypeptide variant having an enhanced catalytic efficiency for (−)-cocaine. A method of the presently-disclosed subject matter for treating a cocaine-induced condition includes administering to an individual an effective amount of a BChE polypeptide variant, as disclosed herein, to lower blood cocaine concentration

Model-Driven Beamforming Neural Networks

Beamforming is evidently a core technology in recent generations of mobile communication networks. Nevertheless, an iterative process is typically required to optimize the parameters, making it ill-placed for real-time implementation due to high complexity and computational delay. Heuristic solutions such as zero-forcing (ZF) are simpler but at the expense of performance loss. Alternatively, deep learning (DL) is well understood to be a generalizing technique that can deliver promising results for a wide range of applications at much lower complexity if it is sufficiently trained. As a consequence, DL may present itself as an attractive solution to beamforming. To exploit DL, this article introduces general data- and model-driven beamforming neural networks (BNNs), presents various possible learning strategies, and also discusses complexity reduction for the DL-based BNNs. We also offer enhancement methods such as training-set augmentation and transfer learning in order to improve the generality of BNNs, accompanied by computer simulation results and testbed results showing the performance of such BNN solutions

FINITE ELEMENT ANALYSIS OF THE SEISMIC BEHAVIOR OF THE ASSEMBLED LIGHT STEEL FRAME- LIGHT WALL STRUCTURES

In order to meet the needs of the development of low-rise assembly structure in rural areas, a fabricated light-weight steel frame-composite light wall structure is proposed in this paper. The light-weight steel frames are used to bear the vertical loads. The single-row-reinforced recycled concrete wall-boards are used as lateral members to resist most of the horizontal earthquake loads. The wall-board, EPS (Expanded Polystyrene) insulation modules, and fly ash blocks form the thermally insulated wall. Four fabricated lightweight steel frame-composite light wall structures and one light-weight steel frame (FRA) structure were tested under the low cyclic loads. The influence of wall reinforcement spacing and structural form (be it fly ash block or not) on the seismic performance of this new structure was analysed and the damage process of the specimen was simulated using the ABAQUS® software. The results show that the light steel frames and the single-row-reinforced recycled concrete wall-board can work well together. Furthermore, the structure has two clear seismic lines. Due to the use of EPS insulation modules and fly ash blocks, the structure has good anti-seismic and thermal insulation abilities. Reducing the spacing of bars or compositing fly ash blocks can significantly improve the seismic performance of the structure. The finite element method (FEM) calculations agreed well with the experimental results, which validates the proposed model