A nonlinear transformation from the solution of a linear equation to the solution of the Boussinesq-Burgers equations is derived by using the simplified homogeneous balance method. Based on the nonlinear transformatio...A nonlinear transformation from the solution of a linear equation to the solution of the Boussinesq-Burgers equations is derived by using the simplified homogeneous balance method. Based on the nonlinear transformation and various given solutions of the linear equation, various exact solutions, including solitary wave solutions, rational solutions, the solutions containing hyperbolic functions and the solutions containing trigonometric functions, of the Boussinesq-Burgers equations are obtained.展开更多
The frequency of human suffering from cancer is increasing annually across the globe.This has fueled numerous investigations aimed at the prevention and cure of various cancers.Long non-coding RNA(lncRNA)are known to ...The frequency of human suffering from cancer is increasing annually across the globe.This has fueled numerous investigations aimed at the prevention and cure of various cancers.Long non-coding RNA(lncRNA)are known to play a crucial role in cancer.For instance,cancer susceptibility candidate 11(CASC11),as one of the long non-coding RNAs,has been reported to be overexpressed in various tumors.This review elucidates the mechanism by which lncRNA CASC11 regulates tumors'biological processes and affirms its value as a therapeutic target for tumors.Through systematic analysis and review of relevant articles in PubMed,we revealed the pathophysiological mechanism of CASC11 on the tumor by regulating the biological processes of tumor such as proliferation,autophagy,apoptosis,thereby promoting tumor metastasis.We also revealed the regulatory pathways of CASC11 in different tumors,for instance by acting on a variety of microRNAs,oncogenic proteins,carcinogens,and transcription factors.Consequently,CASC11 regulates cancer proliferation,apoptosis,and invasion by altering the WNT/β-catenin signaling pathway and epithelial–mesenchymal transition(EMT).Furthermore,CASC11 expression has a high pertinence with clinical prognosis,suggesting that it is a potential marker for malignant tumors or a clinical adjuvant therapy in the future.展开更多
文摘A nonlinear transformation from the solution of a linear equation to the solution of the Boussinesq-Burgers equations is derived by using the simplified homogeneous balance method. Based on the nonlinear transformation and various given solutions of the linear equation, various exact solutions, including solitary wave solutions, rational solutions, the solutions containing hyperbolic functions and the solutions containing trigonometric functions, of the Boussinesq-Burgers equations are obtained.
基金The work was supported by the grants from National Natural Science Foundation of China(No.81773959 to C.F.Yuan and No.81974528 to C.F.Yuan)Open Foundation for Tumor Microenvironment and Immunotherapy Key Laboratory of Hubei province in China(No.2019KZL09 to C.F.Yuan)+1 种基金Health commission of Hubei Province scientific research project in China(No.WJ2019H527 to C.F.Yuan)the central government guides the special funds for the development of local science and technology(No.2020ZYYD016 to C.F.Yuan).
文摘The frequency of human suffering from cancer is increasing annually across the globe.This has fueled numerous investigations aimed at the prevention and cure of various cancers.Long non-coding RNA(lncRNA)are known to play a crucial role in cancer.For instance,cancer susceptibility candidate 11(CASC11),as one of the long non-coding RNAs,has been reported to be overexpressed in various tumors.This review elucidates the mechanism by which lncRNA CASC11 regulates tumors'biological processes and affirms its value as a therapeutic target for tumors.Through systematic analysis and review of relevant articles in PubMed,we revealed the pathophysiological mechanism of CASC11 on the tumor by regulating the biological processes of tumor such as proliferation,autophagy,apoptosis,thereby promoting tumor metastasis.We also revealed the regulatory pathways of CASC11 in different tumors,for instance by acting on a variety of microRNAs,oncogenic proteins,carcinogens,and transcription factors.Consequently,CASC11 regulates cancer proliferation,apoptosis,and invasion by altering the WNT/β-catenin signaling pathway and epithelial–mesenchymal transition(EMT).Furthermore,CASC11 expression has a high pertinence with clinical prognosis,suggesting that it is a potential marker for malignant tumors or a clinical adjuvant therapy in the future.