Xiang Zhang Livres

Focusing on the fundamental theory of integrability, this book explores the development of ordinary differential equations, emphasizing Darboux theory. It presents classical and modern results of Darboux integrability, alongside related polynomials and their applications. Key topics include the reduction of Liouville integrability, the center-focus problem, the weakened Hilbert 16th problem regarding algebraic limit cycles, and global dynamical analysis in various fields such as physics, mechanics, and biology.

The study explores the protective role of estrogen receptors (ER) in myocardial injury, highlighting significant differences between sexes. Utilizing a transgenic mouse model with cardiomyocyte-specific ER overexpression, findings reveal that while both genders exhibit increased left ventricular mass, only females show improved cardiac outcomes post-myocardial infarction. These benefits include reduced ventricular fibrosis, enhanced angiogenesis, and increased JNK phosphorylation, suggesting that targeting ER in female cardiomyocytes could offer therapeutic advantages in treating ischemic heart disease.

Inorganic Controlled Release Materials and Concepts for Advanced Drug Formulation provides a practical guide to the use and applications of inorganic controlled release technology (iCRT) for drug delivery and other healthcare applications, focusing on newly developed inorganic materials such as bioresorbable glasses and bioceramics. The use of these materials is introduced for a wide range of applications that cover inorganic drug delivery systems for new drug development and the reformulation of existing drugs. The book describes basic concepts, principles, and industrial practices by discussing materials chemistry, physics, nano/microstructure, formulation, materials processing, and case studies, as well as the evaluation and characterization of iCRT systems commonly investigated during industrial R&D.

This is the first book to systematically state the fundamental theory of integrability and its development of ordinary differential equations with emphasis on the Darboux theory of integrability and local integrability together with their applications. It summarizes the classical results of Darboux integrability and its modern development together with their related Darboux polynomials and their applications in the reduction of Liouville and elementary integrabilty and in the center—focus problem, the weakened Hilbert 16th problem on algebraic limit cycles and the global dynamical analysis of some realistic models in fields such as physics, mechanics and biology. Although it can be used as a textbook for graduate students in dynamical systems, it is intended as supplementary reading for graduate students from mathematics, physics, mechanics and engineering in courses related to the qualitative theory, bifurcation theory and the theory of integrability of dynamical systems.

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