Integrability and Exact Solutions for a (2+1)-dimensional Variable-Coefficient KdV Equation

By using the WTC method and symbolic computation, we apply the Painlevé test for a (2+1)-dimensional variable-coefficient Kortweg-de Vries (KdV) equation, and the considered equation is found to possess the Painlevé property without any parametric constraints. The auto-Bǎcklund transformation and several types of exact solutions are obtained by using the Painlevé truncated expansion method. Finally, the Hirota’s bilinear form is presented and multi-soliton solutions are also constructed

Association between PNPLA8 gene polymorphism and schizophrenia in male patients

Abnormal phospholipid metabolism in the brain plays an important role in neuropsychiatric diseases. Phospholipase A2 is crucial for maintaining normal neuro-physiological function. The aim of this study was to investigate the association between polymorphisms of the membrane-associated calcium-independent phospholipase A2 gamma (PNPLA8) gene and schizophrenia in Han Chinese in north China. The PCR-based ligase detection reaction was applied to detect 3 single nucleotide polymorphisms (SNPs) in the PNPLA8 gene among 201 Chinese pedigrees. The genotypic frequency of the PNPLA8 polymorphisms did not deviate from the Hardy-Weinberg equilibrium both in affected offspring and parental groups. Haploid relative risk (HRR) and transmission disequilibrium tests (TDT) showed that the 3 SNPs were not associated with schizophrenia (p>0.05), but further analysis with TDT showed that the rs40876 polymorphism was associated with schizophrenia in males (χ2=4.667, p=0.031). Our data suggest that rs40876 in PNPLA8 may be associated with schizophrenia in males

Research on the simulation framework in Building Information Modeling

In recent ten years, Building Information Modeling (BIM) has been proposed and applied in the industry of architecture. For the high efficiency and visualization, BIM and correlative technologies are welcomed by architects, engineers, builders and owners, thus the technologies on modeling for design has been widely researched. However, little attention is given to simulation while simulation is an important part of design for building, maybe because it is seen as somewhat less related to the technologies on modeling for design. The paper proposed a simulation framework with four stages of design: concept stage, scheme design stage, preliminary design stage and construction drawing design stage. The principles of simulation are different in each stage, and were given in the paper. In concept stage, simulation focuses on the blocks of building, and the unit of simulation grid is comparable with the unit of field. And the objects of simulation in the stage are wind, light and sound. In scheme design stage, the unit of simulation grid is similar to the one in concept stage. The objects of simulation in the stage are heat, wind, light, energy consumption and sound. In preliminary design stage, simulations turn to pay attention to the systems of the building, such as the energy system, power system, transmission and distribution system, air-conditioning system and ventilation system. The unit of simulation grid is comparable with the unit of indoor space of building. In construction drawing design stage, the details of system is the main objects of simulation, the unit of simulation grid is usually 100-500mm. The data conversion is also discussed, because data conversion is important for the simulation in BIM system. Previous simulation paid much more time on modeling because the buildings were often designed with 2D floor plan while simulation models often were 3D model. The simulation in BIM process makes the modeling easier and quicker. However, the data of different formats have difficulties on modeling conversion. Several main formats of 3D-model are discussed in the paper. The models of gbXML, Sketch Up, 3ds, CATIA, Rhino and Revit can be transferred to simulation software and modified to meet the need of simulation. The transfer principles of each format during different stage are discussed in the paper. The gbXML and Revit have advantages as less workload on modification, less information lost in the conversion and quick response to the change of model. An example of whole process of simulation in BIM design is proposed in the paper. The simulations for the BIM process are applied in the design of Zhuhai Grand Theater. The simulation in Zhuhai Grand Theater also can be divided into four stages. The example mainly focused on the indoor and outdoor wind environment and energy consumption, and the data conversion is applied in the simulation. The efficiency of such simulation process was compared with the traditional process and the result showed that new simulation process in BIM has advantages as time saving, simple and easily controllable