On critical Fujita exponents for the porous medium equation with a nonlinear boundary condition

AbstractWe establish the critical Fujita exponents for the solution of the porous medium equation ut=Δum, x∈R+N, t>0, subject to the nonlinear boundary condition −∂um/∂x1=up, x1=0, t>0, in multi-dimension

Time periodic solutions for a viscous diffusion equation with nonlinear periodic sources

In this paper, we prove the existence of nontrivial nonnegative classical time periodic solutions to the viscous diffusion equation with strongly nonlinear periodic sources. Moreover, we also discuss the asymptotic behavior of solutions as the viscous coefficient $k$ tends to zero

Developing insect resistance with fusion gene transformation of chitinase and scorpion toxin gene in maize (Zea mays L)

Transgenic plants with introduced pest-resistant genes provide an efficient alternative insect control. A binary insect-resistant gene combination, containing an insect-specific chitinase gene (chi) and a scorpion insect toxin gene (Bmk), was introduced into a maize cultivar via pollen-mediated transformation. Thirty-eight putative trans- genic plantlets with kanamycin-resistance were obtained. Transgenic statuses of plants were confirmed by South- ern blot analysis. Bioassay by inoculation of Asian corn borer (Ostrinia furnacalis Guenée; ACB) larvae indicated that the degree of ACB resistance varied among the transgenic plants. The highest average calibrated mortality of larvae was approximately 67%. The genetic analysis of T1 progeny confirmed that the inheritance of introduced genes followed the Mendelian’s rules

RNase P Ribozymes Inhibit the Replication of Human Cytomegalovirus by Targeting Essential Viral Capsid Proteins.

An engineered RNase P-based ribozyme variant, which was generated using the in vitro selection procedure, was used to target the overlapping mRNA region of two proteins essential for human cytomegalovirus (HCMV) replication: capsid assembly protein (AP) and protease (PR). In vitro studies showed that the generated variant, V718-A, cleaved the target AP mRNA sequence efficiently and its activity was about 60-fold higher than that of wild type ribozyme M1-A. Furthermore, we observed a reduction of 98%-99% in AP/PR expression and an inhibition of 50,000 fold in viral growth in cells with V718-A, while a 75% reduction in AP/PR expression and a 500-fold inhibition in viral growth was found in cells with M1-A. Examination of the antiviral effects of the generated ribozyme on the HCMV replication cycle suggested that viral DNA encapsidation was inhibited and as a consequence, viral capsid assembly was blocked when the expression of AP and PR was inhibited by the ribozyme. Thus, our study indicates that the generated ribozyme variant is highly effective in inhibiting HCMV gene expression and blocking viral replication, and suggests that engineered RNase P ribozyme can be potentially developed as a promising gene-targeting agent for anti-HCMV therapy