The Bifurcation and Decay of Solutions for Asymptotically Linear Elliptic Systems with Parameter

This paper deals with an elliptic system of the form??where N≥3, λ?is a parameter, and ?is a weighted function. We employ the Rabinowitz’s global bifurcation theory and the Dancer’s unilateral global bifurcation theory to determine the existence of positive solution and negative solution on the interval of??with respect to λ. Furthermore, we also provide the decay of the positive and negative solutions.

Irreversible Electroporation for Hepatocellular Carcinoma Abutting the Diaphragm:A Prospective Single-center Study

Background and Aims:Irreversible electroporation(IRE)is an emerging local ablation therapy which may be effective for unresectable tumors.This study aimed to evaluate the safety and efficacy of percutaneous IRE in the treatment of hepatocellular carcinoma(HCC)abutting the diaphragm.Methods:A total of 26 participants with 39 tumors abutting the diaphragm were prospectively evaluated between July 2015 and September 2018.Complications associated with IRE were recorded,and the survival benefit of IRE was analyzed.The factors associated with time to local tumor progression(LTP)were analyzed using univariate and multivariate Cox regression models.Results:No major complications or treatmentrelated deaths occurred.The technical success rate was 96.2%(25/26)and complete ablation rate was 92.3%(36/39).The median followup period was 16.7 months(range:3.0-43.0 months),the LTP occurred in 15.2%of tumors and median time to LTP was 20.4 months.Overall,tumor size(hazard ratio:1.24[95%confidence interval:0.38,3.81],p=0.03)was the only factor associated with time to LTP.Conclusions:This study shows for the first time that percutaneous IRE is a safe and effective ablation technology for HCC abutting the diaphragm.

Studies on the roles of vanadyl sulfate and sodium nitrite in catalytic oxidation of benzyl alcohol with molecular oxygen

An efficient catalytic system consisting of vanadyl sulfate/sodium nitrite was disclosed previously for the oxidation of benzylic alcohols into aldehydes with molecular oxygen.However,the roles of catalyst components were not investigated.In this paper,we examined catalytic oxidation of benzyl alcohol as a model reaction,especially by infrared spectroscopy.The role of each component is discussed including nitrite,vanadyl,sulphate,and water.Sodium nitrite could be converted into nitrate and nitric acid.The vanadium(IV)could be smoothly oxidized into vanadium(V)under mild and acidic conditions without any organic ligands.The transformation of sulfate and bisulfate,the cessation of an induction period,and the oxidation of benzyl alcohol were closely interrelated.The multiple roles of water are discussed,including reduction of the induction period,participation in redox cycles of nitric compounds,deactivation of vanadium,and as a byproduct of oxidation.This study contributes to further development of aerobic oxidation using vanadium based catalysts.