A meshless particle method based on the smoothed particle hydrodynamics(SPH)method is first proposed for the numerical prediction of physical phenomena of nonlinear solitary wave propagation and complex phenomena aris...A meshless particle method based on the smoothed particle hydrodynamics(SPH)method is first proposed for the numerical prediction of physical phenomena of nonlinear solitary wave propagation and complex phenomena arising from the inelastic interactions of solitary waves.The method is a fully discrete implicit scheme.This method does not rely on a grid,avoids the need to solve for derivatives of kernel functions,and makes the calculation more convenient.Additionally,the unique solvability of the proposed implicit scheme is proved.To verify the effectiveness and flexibility of the proposed method,we apply it to solving various time fractional nonlinear Schrödinger equations(TF-NLSE)on both regular and irregular domains.This mainly includes general or coupled TF-NLSE with or without analytical solutions.Moreover,the proposed method is compared with the existing methods.Through examples,it has been verified that this method can effectively predict complex propagation phenomena generated by the collision of nonlinear solitary waves,such as the collapse phenomenon of solitary waves with increasing fractional-order parameters.Research results indicate that this method provides a new and effective meshless method for predicting the propagation of nonlinear solitary waves,which can better simulate TF-NLSE in complex domains.展开更多
文摘本实验主要对鲢鱼半胱氨酸蛋白酶抑制因子Cystatin进行原核表达和纯化鉴定,并研究重组Cystatin对铜绿假单胞菌的抑菌效果。首先用异丙基-β-D-硫代半乳糖苷(isopropyl-β-D-thiogalactopyranoside,IPTG)诱导转入p ET-30-Cystatin的E.coli BL21(DE3)表达重组Cystatin蛋白,经Ni2+-NTA镍离子亲和层析对其进行纯化,该重组蛋白在十二烷基硫酸钠-聚丙烯酰胺凝胶电泳上显示单一条带,分子质量约20.6 k D,在TSK-GEL G2000SW凝胶过滤高效液相色谱上呈单一活性峰,纯度为94.27%,经标准曲线计算其分子质量为20.9 k D;其次,利用抑制剂滴定曲线法,以偶氮酪蛋白为底物,确定重组Cystatin对木瓜蛋白酶(45.375μmol)的一个抑制活性单位为0.718μg;最后通过滤纸片扩散法鉴定鲢鱼重组Cystatin对铜绿假单胞菌的抑菌效果,结果表明Cystatin的添加量为20、60、120、200 U/片时,抑菌圈直径分别为8、9、13、26 mm。鲢鱼重组Cystatin对铜绿假单胞菌的抑菌效果呈剂量依赖关系。
基金supported by the Natural Science Foundation of Xinjiang Uygur Autonomous Region,China(Grant No.2024D01C44).
文摘A meshless particle method based on the smoothed particle hydrodynamics(SPH)method is first proposed for the numerical prediction of physical phenomena of nonlinear solitary wave propagation and complex phenomena arising from the inelastic interactions of solitary waves.The method is a fully discrete implicit scheme.This method does not rely on a grid,avoids the need to solve for derivatives of kernel functions,and makes the calculation more convenient.Additionally,the unique solvability of the proposed implicit scheme is proved.To verify the effectiveness and flexibility of the proposed method,we apply it to solving various time fractional nonlinear Schrödinger equations(TF-NLSE)on both regular and irregular domains.This mainly includes general or coupled TF-NLSE with or without analytical solutions.Moreover,the proposed method is compared with the existing methods.Through examples,it has been verified that this method can effectively predict complex propagation phenomena generated by the collision of nonlinear solitary waves,such as the collapse phenomenon of solitary waves with increasing fractional-order parameters.Research results indicate that this method provides a new and effective meshless method for predicting the propagation of nonlinear solitary waves,which can better simulate TF-NLSE in complex domains.
