Shanghai University

About: Shanghai University is a education organization based out in Shanghai, Shanghai, China. It is known for research contribution in the topics: Microstructure & Graphene. The organization has 59583 authors who have published 56840 publications receiving 753549 citations. The organization is also known as: Shànghǎi Dàxué.

Fractional dynamical system and its linearization theorem

Abstract: Nowadays, it is known that the solution to a fractional differential equation can’t generally define a dynamical system in the sense of semigroup property due to the history memory induced by the weakly singular kernel But we can still establish the similar relationship between a fractional differential equation and the corresponding fractional flow under a reasonable condition In this paper, we firstly present some results on fractional dynamical system defined by the fractional differential equation with Caputo derivative Furthermore, the linearization and stability theorems of the nonlinear fractional system are also shown As a byproduct, we prove Audounet–Matignon–Montseny conjecture Several illustrative examples are given as well to support the theoretical analysis

tRF-Leu-CAG promotes cell proliferation and cell cycle in non-small cell lung cancer

Abstract: tRNA-derived RNA fragments (tRFs), non-coding single-stranded RNAs with 14-35 nt in length, were found to play important roles in gene regulation, even in carcinogenesis. In this study, we investigated the expression of tRF-Leu-CAG in human non-small cell lung cancer (NSCLC) and its function in the cell proliferation and cell cycle of NSCLC. The expression level of tRF-Leu-CAG was detected in NSCLC tissues, cell lines, and sera. tRF-Leu-CAG RNA levels were higher in NSCLC tumor tissues than in normal tissues, and also upregulated in NSCLC cell lines. A significant relationship was observed between stage progression and tRF-Leu-CAG in NSCLC sera. We found that in H1299 cells, inhibition of tRF-Leu-CAG suppressed cell proliferation and impeded cell cycle. AURKA was also repressed with the knockdown of tRF-Leu-CAG. Thus, our study revealed that tRF-Leu-CAG may be involved in regulating AURKA and could be a new diagnostic marker and potential therapeutic target in NSCLC.

Error estimation of Hermite spectral method for nonlinear partial differential equations

Abstract: Hermite approximation is investigated. Some inverse inequalities, imbedding inequalities and approximation results are obtained. A Hermite spectral scheme is constructed for Burgers equation. The stability and convergence of the proposed scheme are proved strictly. The techniques used in this paper are also applicable to other nonlinear problems in unbounded domains.