Mathematical Problems in Elasticity and Quantum Mechanics.

This thesis is concerned with new mathematical contributions to this area of mathematical physics. It consists of two parts. The first part discusses Pauli uniqueness problem in the content of locally compact abelian groups. We get improved results for R\sp{n}, new results for T\sp{n} and Z\sb{n}. In the second part which is the main part of the thesis, we develop a new approach to the scattering for Nth order factored equations based on an abstract version of d\u27Alembert\u27s formula. We show that the asymptotic equivalence (or scattering theory) of the pair of higher order factored equations reduces to the asymptotic equivalence of the first order equations. Our approach is clean, direct and easy to use. It also enables us to recover and unify old results on acoustic waves as well as to obtain new results on elastic waves. Moreover, it follows from our approach that elastic wave theory is a corollary of the acoustic wave theory

Reliability Technology Based on Meta-Action for CNC Machine Tool

Computer numerical control (CNC) machines are a category of machining tools that are computer driven and controlled, and are as such, complicated in nature and function. Hence, analyzing and controlling a CNC machine’s overall reliability may be difficult. The traditional approach is to decompose the major system into its subcomponents or parts. This, however, is regarded as not being an accurate method for a CNC machine tool, since it encompasses a dynamic working process. This chapter proposes a meta-action unit (MU) as the basic analysis and control unit, the resulting combined motion effect of which is believed to optimize the CNC’s overall function and performance by improving each meta-action’s reliability. An overview of reliability technology based on meta-action is introduced

Research on Key Quality Characteristics of Electromechanical Product Based on Meta-Action Unit

Electromechanical products have many quality characteristics, representing their quality. In addition, there are long-existed quality problems of electromechanical products, such as poor accuracy, short precision life, large fluctuations in performance, frequently failing, and so on. Based on meta-action unit (MU) for electromechanical products, this book chapter proposes a key quality characteristic control method, which provides theoretical and technical support for essentially guaranteeing the complete machine’s quality. The formation mechanisms of MU’s four key quality characteristics (precision, precision life, performance stability, and reliability) are studied. Moreover, we introduce an overview of key quality characteristic control methods based on MU. The complex large system research method of “decomposition-analysis-synthesis” is adopted to study these key science problems

A new Agkistrodon halys venom-purified protein C activator prevents myocardial fibrosis in diabetic rats

Aim To assess the effects of protein C activator (PCA) from Agkistrodon halys snake venom on cardiac fibrosis in streptozotocin (STZ) induced diabetic rat model, and investigate the mechanisms of its action. Methods PCA was identified by one-dimensional reversed phase liquid chromatography – mass spectrometry/mass spectrometry. Male Sprague-Dawley rats (120-140 g) were randomly assigned to negative control (NC) and diabetic group. Diabetes was induced by STZ in high-fat diet fed rats. Diabetic group was subdivided into three groups: diabetic group (DM), diabetic group treated with PCA (0.5, 2, and 8 mg/kg), and diabetic group treated with metformin (5 mg/kg, positive control). NC and DM groups received the same volume of distilled water. Left ventricular mass index (LVWI) and collagen volume fraction were measured by hematoxylin and eosin and Masson staining. Transforming growth factor beta-1 (TGF-β1) and interleukin 1 beta (IL-1β) levels were determined by enzyme-linked immunosorbent assay. Results The diabetic rat model was successfully established by STZ induction and high-fat diet. Glucose level, LVWI, TGF-β1 and IL-1β level, and collagen volume fraction were significantly reduced in diabetic rats treated by PCA in a dose-dependent manner (P < 0.050), especially in the high dose (8 mg/kg) group (P < 0.010), compared to diabetes group. The high dose PCA had the same effect as metformin positive control in reducing the level of fasting blood glucose. PCA decreased the expression of MMP-2 and reduced that of TIMP-2. Conclusion Our results indicate that PCA has anti-fibrotic effects and that it may be used to treat myocardial fibrosis