谱问题、发展方程族及Lax表示的等价性

讨论了四对谱问题、相应的保谱方程族以及它们Ｌａｘ表示的等价住，并利用这种等价关系可导出一些方程的Ｌａｘ表示．     

Callistephin inhibits amyloid-β protein aggregation and determined cytotoxicity against cerebrovascular smooth muscle cells as an in vitro model of cerebral amyloid angiopathy

It has been indicated that amyloid β (Aβ) plaques can be accumulated within the basement membranes of cerebrovascular smooth muscle cells (CVSMCs) and stimulate the induction of cerebral amyloid angiopathy (CAA). However, the exact mechanism(s) of which small molecules including callistephin mitigate the formation of Aβ aggregation and associated CAA is not well-understood. Therefore, in the present study, Aβ_1–42 samples in the aggregation buffer were co-incubated for 36 h without or with of callistephin and the protein aggregation features along with the associated cytotoxicity against CVSMCs as the core components of cerebral arterial wall were explored by different biochemical and cellular methods. Fluorescence (ThT, Nile red) and CD techniques indicated the inhibition of Aβ_1–42 fibrillization in the presence of callistephin. Cellular assays revealed that cytotoxicity of Aβ_1–42 samples aged in the aggregation buffer with callistephin was much less against CVSMCs than Aβ_1–42 amyloid alone through regulation of membrane leakage and downregulation of TNF-α and IL-6 at protein level. In conclusion, these data may provide useful information about the possible mechanisms by which callistephin can show its protective effect against CAA.     

Kac-Moody群及其旗流形的庞加莱级数和有理同伦型

研究了不定型的Kac-Moody群及其旗流形的有理上同调.通过从庞加莱级数提取关于同调的信息,能够决定Kac-Moody群及其旗流形的有理上同调环.因为这些空间都是有理formal的空间,也决定了它们的有理同伦群及有理同伦型.