In this work,the exponential approximation is used for the numerical simulation of a nonlinear SITR model as a system of differential equations that shows the dynamics of the new coronavirus(COVID-19).The SITR mathema...In this work,the exponential approximation is used for the numerical simulation of a nonlinear SITR model as a system of differential equations that shows the dynamics of the new coronavirus(COVID-19).The SITR mathematical model is divided into four classes using fractal parameters for COVID-19 dynamics,namely,susceptible(S),infected(I),treatment(T),and recovered(R).The main idea of the presented method is based on the matrix representations of the exponential functions and their derivatives using collocation points.To indicate the usefulness of this method,we employ it in some cases.For error analysis of the method,the residual of the solutions is reviewed.The reported examples show that the method is reasonably efficient and accurate.展开更多
The present investigations are associated with designing Morlet wavelet neural network(MWNN)for solving a class of susceptible,infected,treatment and recovered(SITR)fractal systems of COVID-19 propagation and control....The present investigations are associated with designing Morlet wavelet neural network(MWNN)for solving a class of susceptible,infected,treatment and recovered(SITR)fractal systems of COVID-19 propagation and control.The structure of an error function is accessible using the SITR differential form and its initial conditions.The optimization is performed using the MWNN together with the global as well as local search heuristics of genetic algorithm(GA)and active-set algorithm(ASA),i.e.,MWNN-GA-ASA.The detail of each class of the SITR nonlinear COVID-19 system is also discussed.The obtained outcomes of the SITR system are compared with the Runge-Kutta results to check the perfection of the designed method.The statistical analysis is performed using different measures for 30 independent runs as well as 15 variables to authenticate the consistency of the proposed method.The plots of the absolute error,convergence analysis,histogram,performancemeasures,and boxplots are also provided to find the exactness,dependability and stability of the MWNN-GA-ASA.展开更多
目的探究lncRNA GClnc1是否通过SIRT3/FOXO3/SOD2调控胃癌细胞增殖和迁移。方法通过转染慢病毒的方法,在人胃癌细胞SGC7901中分别过表达和沉默GClnc1,采用Western blot和qRT-PCR检测SIRT3/FOXO3/SOD2 mRNA和蛋白水平的改变;在过表达GCl...目的探究lncRNA GClnc1是否通过SIRT3/FOXO3/SOD2调控胃癌细胞增殖和迁移。方法通过转染慢病毒的方法,在人胃癌细胞SGC7901中分别过表达和沉默GClnc1,采用Western blot和qRT-PCR检测SIRT3/FOXO3/SOD2 mRNA和蛋白水平的改变;在过表达GClnc1的同时分别沉默SIRT3/FOXO3/SOD2,采用CCK-8检测细胞增殖能力,划痕实验检测细胞迁移能力。结果过表达GClnc1可以上调SIRT3/FOXO3/SOD2的mRNA和蛋白水平(P<0.05),并增强SGC7901细胞的增殖[(1.00±0.14)vs(1.79±0.21),P<0.05]和迁移能力(10.87±0.76 vs 16.53±2.25,P<0.05),而沉默GClnc1则降低SIRT3/FOXO3/SOD2的mRNA和蛋白水平(P<0.05),并减少细胞增殖(1.00±0.14 vs 0.62±0.13,P<0.05)和迁移能力(10.87±0.76 vs 6.46±0.89,P<0.01)。沉默SIRT3/FOXO3/SOD2可以消除过表达GClnc1对细胞增殖和迁移能力的促进作用。结论 GClnc1通过激活SIRT3/FOXO3/SOD2信号通路促进SGC7901细胞增殖和迁移。展开更多
文摘In this work,the exponential approximation is used for the numerical simulation of a nonlinear SITR model as a system of differential equations that shows the dynamics of the new coronavirus(COVID-19).The SITR mathematical model is divided into four classes using fractal parameters for COVID-19 dynamics,namely,susceptible(S),infected(I),treatment(T),and recovered(R).The main idea of the presented method is based on the matrix representations of the exponential functions and their derivatives using collocation points.To indicate the usefulness of this method,we employ it in some cases.For error analysis of the method,the residual of the solutions is reviewed.The reported examples show that the method is reasonably efficient and accurate.
基金The authors extend their appreciation to the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University for funding this work through Research Group No.RG-21-09-12.
文摘The present investigations are associated with designing Morlet wavelet neural network(MWNN)for solving a class of susceptible,infected,treatment and recovered(SITR)fractal systems of COVID-19 propagation and control.The structure of an error function is accessible using the SITR differential form and its initial conditions.The optimization is performed using the MWNN together with the global as well as local search heuristics of genetic algorithm(GA)and active-set algorithm(ASA),i.e.,MWNN-GA-ASA.The detail of each class of the SITR nonlinear COVID-19 system is also discussed.The obtained outcomes of the SITR system are compared with the Runge-Kutta results to check the perfection of the designed method.The statistical analysis is performed using different measures for 30 independent runs as well as 15 variables to authenticate the consistency of the proposed method.The plots of the absolute error,convergence analysis,histogram,performancemeasures,and boxplots are also provided to find the exactness,dependability and stability of the MWNN-GA-ASA.
文摘目的探究lncRNA GClnc1是否通过SIRT3/FOXO3/SOD2调控胃癌细胞增殖和迁移。方法通过转染慢病毒的方法,在人胃癌细胞SGC7901中分别过表达和沉默GClnc1,采用Western blot和qRT-PCR检测SIRT3/FOXO3/SOD2 mRNA和蛋白水平的改变;在过表达GClnc1的同时分别沉默SIRT3/FOXO3/SOD2,采用CCK-8检测细胞增殖能力,划痕实验检测细胞迁移能力。结果过表达GClnc1可以上调SIRT3/FOXO3/SOD2的mRNA和蛋白水平(P<0.05),并增强SGC7901细胞的增殖[(1.00±0.14)vs(1.79±0.21),P<0.05]和迁移能力(10.87±0.76 vs 16.53±2.25,P<0.05),而沉默GClnc1则降低SIRT3/FOXO3/SOD2的mRNA和蛋白水平(P<0.05),并减少细胞增殖(1.00±0.14 vs 0.62±0.13,P<0.05)和迁移能力(10.87±0.76 vs 6.46±0.89,P<0.01)。沉默SIRT3/FOXO3/SOD2可以消除过表达GClnc1对细胞增殖和迁移能力的促进作用。结论 GClnc1通过激活SIRT3/FOXO3/SOD2信号通路促进SGC7901细胞增殖和迁移。
