Symmetry and Approximate Symmetry of a Nonlinear Elliptic Problem over a Ring

A singularly perturbed free boundary problem arising from a real problem associated with a Radiographic Integrated Test Stand concerns a solution of the equation $\Delta u = f(u)$ in a domain $\Omega$ subject to constant boundary data, where the function $f$ in general is not monotone. When the domain $\Omega$ is a perfect ring, we incorporate a new idea of radial correction into the classical moving plane method to prove the radial symmetry of a solution. When the domain is slightly shifted from a ring, we establish the stability of the solution by showing the approximate radial symmetry of the free boundary and the solution. For this purpose, we complete the proof via an evolutionary point of view, as an elliptic comparison principle is false, nevertheless a parabolic one holds.Comment: 27 page

Thermal Behaviour of Corn/Cotton Stalk Blends during Co-pyrolysis

AbstractThe pyrolysis behaviors and pyrolysis kinetics of corn straw (YM), cotton stalk(MG) and blends at different proportion were studied by TG-DSC technique. The results indicate that two kinds of biomass straw can be mixed fully. The pyrolysis process with its blend ratio is not a linear relationship and solid product reduced compared with single-stalk. In addition, the major pyrolysis process of mixture within the main range can be well described by a two-dimensional diffusion model with Malek method. Among the tested samples, the 40:60 MG/ YM blend shows the lowest activation energy of 51.7 KJ/mol. Besides corn straw plays a dominant role on the course of the thermal conversion. The experimental results may provide useful data to promote the application of biomass thermochemical conversion technology of biomass mixture

Development of a Platform to Monitor User's Comfort Degree for Intelligent Environments

With the development of intelligent environments, people have increasing demands for comfortable living environments. The three major factors affecting users' comfort are thermal comfort, visual comfort and air quality. This paper presents a monitoring platform of comfort degree for intelligent environments based on ZigBee wireless sensor network that measures living environment's parameters and actively controls corresponding equipments according to the information collected and users' preferences. Wireless sensor network system is divided into three layers, the main node layer, function nodes layer and leaf nodes layer, respectively. The approach to routing is through a tree topology method. A Mini2440 development board is selected as the host computer, which communicates with the main node via serial interface. The monitoring platform presented in this paper is flexible, powerful, and scalable, which can be applied to the other monitoring fields with minor modifications

Functional characterization of D9, a novel deazaneplanocin a (DZNep) analog, in targeting acute myeloid leukemia (AML)

10.1371/journal.pone.0122983PLoS ONE104e012298

Cardiomyocyte-Restricted Deletion of PPARβ/δ in PPARα-Null Mice Causes Impaired Mitochondrial Biogenesis and Defense, but No Further Depression of Myocardial Fatty Acid Oxidation

It is well documented that PPARα and PPARβ/δ share overlapping functions in regulating myocardial lipid metabolism. However, previous studies demonstrated that cardiomyocyte-restricted PPARβ/δ deficiency in mice leads to severe cardiac pathological development, whereas global PPARα knockout shows a benign cardiac phenotype. It is unknown whether a PPARα-null background would alter the pathological development in mice with cardiomyocyte-restricted PPARβ/δ deficiency. In the present study, a mouse model with long-term PPARβ/δ deficiency in PPARα-null background showed a comparably reduced cardiac expression of lipid metabolism to those of single PPAR-deficient mouse models. The PPARα-null background did not rescue or aggravate the cardiac pathological development linked to cardiomyocyte-restricted PPARβ/δ deficiency. Moreover, PPARα-null did not alter the phenotypic development in adult mice with the short-term deletion of PPARβ/δ in their hearts, which showed mitochondrial abnormalities, depressed cardiac performance, and cardiac hypertrophy with attenuated expression of key factors in mitochondrial biogenesis and defense. The present study demonstrates that cardiomyocyte-restricted deletion of PPARβ/δ in PPARα-null mice causes impaired mitochondrial biogenesis and defense, but no further depression of fatty acid oxidation. Therefore, PPARβ/δ is essential for maintaining mitochondrial biogenesis and defense in cardiomyocytes independent of PPARα