Besov Estimates for Sub-Elliptic Equations in the Heisenberg Group

In this article, we deal with weak solutions to non-degenerate sub-elliptic equations in the Heisenberg group, and study the regularities of solutions. We establish horizontal Calderón-Zygmund type estimate in Besov spaces with more general assumptions on coefficients for both homogeneous equations and non-homogeneous equations. This study of regularity estimates expands the Calderón-Zygmund theory in the Heisenberg group.

Evaluation of Benzamide Derivatives as New Influenza A Nucleoprotein Inhibitors

Virus nucleoprotein (NP) is an emerging target for drug development for Influenza. We designed benzamide derivatives as new inhibitors of NP that demonstrate good potency in blocking influenza A. Screening revealed that compound 39 was the most potent molecule in the series, exhibiting IC50 values of 0.46 and 0.27 μM in blocking the replication of H3N2 (A/HK/8/68) and (A/WSN/33) influenza A viral strains. The observed inhibition of viral replication correlated well with cytopathic protection. Furthermore, based on computational analysis and fluorescence microscopy, it was determined that compound 39 inhibited nuclear accumulation by targeting influenza A viral nucleoproteins. Finally, the rodent pharmacokinetic profile of compound 32 displayed half-life of greater than 4 hours and bioavailability greater than 20%, suggesting this class of molecules had drug-like properties.

Overexpression of OsPIL15, a phytochrome-interacting factor-like protein gene, represses etiolated seedling growth in rice

Phytochrome-interacting factors （PIFs） regulate an array of developmental responses ranging from seed germi- nation to vegetational architecture in Arabidopsis. However, information regarding the functions of the PIF family in monocots has not been widely reported. Here, we investigate the roles of OsPIL15, a member of the rice （Oryza sativa L. cv. Nipponbare） PIF family, in regulating seedling growth. OsPIL15 encodes a basic helix-loop-helix factor localized in the nucleus. OsPIL15-OX seedlings exhibit an exaggerated shorter above- ground part and undeveloped root system relative to wild-type seedlings, suggesting that OsPIL15 represses seedling growth in the dark. Microarray analysis combined with gene ontology analysis revealed that OsPIL15 represses a set of genes involved in auxin pathways and cell wall organization or biogenesis. Given the important roles of the auxin pathway and cell wall properties in controlling plant growth, we speculate that OsPIL15 represses seedling growth likely by regulating the auxin pathway and suppressing cell wall organization in etiolated rice seedlings. Additionally, exposure to red light or far-red light relieved growth retardation and promoted seedling elongation in the OsPIL15-OX lines, despite higher levels of OsPIL15 transcripts under red light and far-red light than in the dark. These results suggest that light regulation of OsPIL15 expres- sion is probably involved in photomorphogenesis in rice.