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Motivated by a couple of examples, a new term of quasi-projection pair $(P,Q)$ on a Hilbert $C^*$-module $H$ is introduced, in which $P$ is a projection, while $Q$ is an idempotent satisfying certain conditions. Some basic properties of quasi-projection pairs are provided. For every idempotent $Q$ on a Hilbert $C^*$-module $H$, it is shown that there always exist a projection denoted by $m(Q)$, and an invertible operator $W$ on $H$ such that $\big(m(Q),Q\big)$ is a quasi-projection pair satisfying \begin{equation*}Q=W^{-1}PW\quad\mbox{and}\quad \|I-W\

Protocol for a scoping review that aims to systematically map currently available research about the direct and indirect costs of mental disorders in China and to identify any critical gaps in current knowledge about this important issue.

Rapid risk assessment models for different types of cigarette smoke extract (CSE) exposure are critical to understanding the etiology of chronic obstructive pulmonary disease. The present study investigated inflammation of cultured tracheal tissues with CSE exposure. Rat trachea rings were isolated, cultured, then exposed to various concentrations of CSE from 3R4 F reference cigarettes for 4 h. Tissue/cellular morphology, ultrastructure, viability and damage, inflammatory cell infiltration, and inflammatory protein levels were measured and compared to untreated controls. Human bronchial epithelial cells (BEAS-2B) exposed to 0 or 300 μg/mL CSE were cocultured with macrophages to assess extent of mobilization and phagocytosis. Endotracheal epithelium cilia densities were significantly reduced with increasing CSE concentrations, while mucous membranes became increasingly disordered; both eventually disappeared. Macrophages became larger as the CSE concentration increased, with microvilli and extended pseudopodium covering their surface, and many primary and secondary lysosomes present in the cytoplasm. Inflammatory cell infiltration also increased with increasing CSE dose, as did intracellular adhesion molecule-1(ICAM-1), interleukin-6(IL-6). The method described here may be useful to qualitatively characterized the effects of the compound under study. Then, we use BEAS-2B cell line system to strength the observation made in the cultured tissues. Probably, an approach to integrate results from both experiments will facilitate its application. These results demonstrate that cultured rat tracheal rings have a whole-tissue structure that undergoes inflammatory processes similar to in vivo tissues upon CSE exposure.

Adiponectin is an adipocyte-specific adipocytokine that possesses anti-atherogenic and anti-diabetic properties. It has been shown to have a beneficial effect on the cardiovascular system, but it remains to be elucidated whether adiponectin has a therapeutic effect on vascular damage induced by the potential vasoactive substance angiotensin II (Ang II). In this study, the effects of adiponectin on Ang II-induced vascular endothelial damage were investigated. In cultured human umbilical vein endothelium cells, Ang II stimulation increased generation of ROS and 4-hydroxy-2-nonenal, both of which were clearly restored by administration of adiponectin. In addition, administration of adiponectin was found to increase cell viability and prevent apoptosis. Our results also demonstrate that the protective effects of adiponectin against Ang II-induced vascular endothelial damage are dependent on the binding of adiponectin to its cell surface receptor 1. Importantly, we found that adiponectin treatment modulates the apoptotic pathway by reducing the expression of LOX-1, up-regulating both cIAP-1 and the ratio of Bcl-2/Bax. Finally, our data displayed that the protective effects of adiponectin against Ang II cytotoxicity depend on AMPK activation mediated by the endosomal adaptor protein, adaptor protein with phosphotyrosine binding, pleckstrin homology domains, and leucine zipper motif.