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Exact Traveling Wave Solutions and Bifurcations in a Nonlinear Elastic Rod Equation

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Acta Mathematicae Applicatae Sinica 2010年第2期26卷 283-306页

作者： ji-bin li Tian-lan He Center for Dynamical Systems and Nonlinear Studies Kunming University of Science and Technology Yunnan650093 China Department of Mathematics Zhejiang Normal University Zhejiang 321004 China

The exact parametric representations of the traveling wave solutions for a nonlinear elastic rod equation are considered. By using the method of planar dynamical systems, in different parameter regions, the phase portraits of the corresponding traveling wave system are given. Exact explicit kink wave solutions, periodic wave solutions and some unbounded wave solutions are obtained.

关键词： kink wave solution periodic wave solution qualitative method bifurcation elliptic function

Center and Isochronous Center Problems for Quasi Analytic Systems

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Acta Mathematica Sinica,English Series 2008年第9期24卷 1569-1582页

作者： Yi Rong liu ji bin li Department of Mathematics Zhejiang Normal University Jinhua 321004 P. R. China School of Science Kunming University of Science and Technology Kunming 650093 P. R. China

This paper considers the problems of determining center or focus and isochronous centers for the planar quasi-analytic systems. Two recursive formulas to determine the focal values and period constants are given. The convergence of first integral near the center is proved. Using the general results to quasi-quadratic systems, the problem of the isochronous center of the origin is completely solved.

关键词： generalized focal value center integral periodic constant isochronous center quasi-analytic planar differential system

Complete Study on a Bi-Center Problem for the Z2-Equivariant Cubic Vector Fields

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Acta Mathematica Sinica,English Series 2011年第7期27卷 1379-1394页

作者： Yi Rong liU ji bin li Department ofMathematics Zhejiang Normal University Jinhua 321004 P. R. China Department of Mathematics Zhejiang Normal University Jinhua 321004 P. R. China School of Science Kunming University of Science and Technology Kunming 650093 P. R. China

For the planar Z2-equivariant cubic systems having twoelementary focuses, the characterization of a bi-center problem and shortened expressions of the first six liapunov constants are completely discussed. The necessary and sufficient conditions for the existence of the bi-center are obtained. All possible first integrals are given. Under small Z2-equivariant cubic perturbations, the conclusion that there exist at most 12 small-amplitude limit cycles with the scheme （6 II 6） is proved.

关键词： Center problem liapunov constant focal value integral factor invariant integral cubic polynomial system

Z_2-Equivariant Cubic System Which Yields 13 limit Cycles

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Acta Mathematicae Applicatae Sinica 2014年第3期30卷 781-800页

作者： Yi-rong liU ji-bin li School of Mathematics Central South University Department of Mathematics Zhejiang Normal University School of Science Kunming University of Science and Technology

For the planar Z2-equivariant cubic systems having two elementary focuses, the characterization of a bi-center problem and shortened expressions of the first six Lyapunov constants are completely solved. The necessary and sufficient conditions for the existence of the bi-center are obtained. On the basis of this work, in this paper, we show that under small Z2-equivariant cubic perturbations, this cubic system has at least 13 limit cycles with the scheme 1 6 ∪ 6.

关键词： planar dynamical system limit cycles bifurcations Lyapnov constant weak focus

Shape analysis and damped oscillatory solutions for a class of nonlinear wave equation with quintic term

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Applied Mathematics and Mechanics(English Edition) 2014年第1期35卷 117-132页

作者：李想张卫国李正明 ji-bin li Business School University of Shanghai for Science and Technology College of Science University of Shanghai for Science and Technology

This paper aims at analyzing the shapes of the bounded traveling wave solu- tions for a class of nonlinear wave equation with a quintic term and obtaining its damped oscillatory solutions. The theory and method of planar dynamical systems are used to make a qualitative analysis to the planar dynamical system which the bounded traveling wave solutions of this equation correspond to. The shapes, existent number, and condi- tions are presented for all bounded traveling wave solutions. The bounded traveling wave solutions are obtained by the undetermined coefficients method according to their shapes, including exact expressions of bell and kink profile solitary wave solutions and approxi- mate expressions of damped oscillatory solutions. For the approximate damped oscillatory solution, using the homogenization principle, its error estimate is given by establishing the integral equation, which reflects the relation between the exact and approximate so- lutions. It can be seen that the error is infinitesimal decreasing in the exponential form.

关键词： nonlinear wave equation bounded traveling wave solution shape analysis,approximate damped oscillatory solution error estimate

Dynamical understanding of loop soliton solution for several nonlinear wave equations

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Science China Mathematics 2007年第6期50卷 773-785页

作者： ji-bin li Department of Mathematics, Zhejiang Normal University, jinhua 321004, China Kunming University of Science and Technology, Kunming 650093, China Department of Mathematics Zhejiang Normal University Jinhua 321004 China Kunming University of Science Technology Kunming 650093 China

It has been found that some nonlinear wave equations have one-loop soliton solutions. What is the dynamical behavior of the so-called one-loop soliton solution? To answer this question, the travelling wave solutions for four nonlinear wave equations are discussed. Exact explicit parametric representations of some special travelling wave solutions are given. The results of this paper show that a loop solution consists of three different breaking travelling wave solutions. It is not one real loop soliton travelling wave solution.

关键词： planar dynamical system homoclinic orbit solitary wave solution one-loop soliton solution periodic wave solution bifurcation nonlinear wave equation 34C37 34C23 74J30 58Z05

Exact traveling wave solutions and dynamical behavior for the (n+1)-dimensional multiple sine-Gordon equation

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Science China Mathematics 2007年第2期50卷 153-164页

Using the methods of dynamical systems for the (n + 1)-dimensional multiple sine-Gordon equation, the existences of uncountably infinite many periodic wave solutions and breaking bounded wave solutions are obtained. For the double sine-Gordon equation, the exact explicit parametric representations of the bounded traveling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are determined.

关键词： nonlinear wave bifurcation exact explicit traveling wave solution double sine-Gordon equation multiple sine-Gordon equation 35B10 35L70 35Q51

Sp1 contributes to overexpression of stanniocalcin 2 through regulation of promoter activity in colon adenocarcinoma

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World Journal of Gastroenterology 2019年第22期25卷 2776-2787页

作者： ji-bin li Zhe-Xian liu Rui Zhang Si-Ping Ma Tao lin Yan-Xi li Shi-Hua Yang Wan-Chuan Zhang Yong-Peng Wang Department of Colorectal Surgery Cancer Hospital of China Medical University Liaoning Cancer Hospital & Institute

BACKGROUND Aberrant expression of stanniocalcin 2 (STC2) is implicated in colon adenocarcinoma (COAD). A previous study identified that STC2 functions as a tumor promoter to drive development of some cancers, but the role of its overexpression in the development of COAD remains unclear. AIM To evaluate the regulation mechanism of STC2 overexpression in COAD. METHODS The expression of STC2 in COAD was assessed by TCGA COAD database and GEO (GSE50760). Methylation level of the STC2 promoter was evaluated with beta value in UALCAN platform, and the correlation between STC2 expression and survival rate was investigated with TCGA COAD. Transcription binding site prediction was conducted by TRANSFAC and LASAGNA, and a luciferase reporter system was used to identify STC2 promoter activity in several cell lines, including HEK293T, NCM460, HT29, SW480, and HCT116. Western blotting was performed to evaluate the role of Sp1 on the expression of STC2. RESULTS The central finding of this work is that STC2 is overexpressed in COAD tissues and positively correlated with poor prognosis. Importantly, the binding site of the transcription factor Sp1 is widely located in the promoter region of STC2. A luciferase reporter system was successfully constructed to analyze the transcription activity of STC2, and knocking down the expression of Sp1 significantly inhibited the transcription activity of STC2. Furthermore, inhibition of Sp1 remarkably decreased protein levels of STC2. CONCLUSION Our data provide evidence that the transcription factor Sp1 is essential for the overexpression of STC2 in COAD through activation of promoter activity. Taken together, our finding provides new insights into the mechanism of oncogenic function of COAD by STC2.

关键词： Transcription factor Sp1 Stanniocalcin 2 Overexpression Promoter activity Colon adenocarcinoma

Camrelizumab (a PD-1 inhibitor) plus apatinib (an VEGFR-2 inhibitor) and hepatic artery infusion chemotherapy for hepatocellular carcinoma in Barcelona Clinic liver Cancer stage C (TRIPLET): a phase Ⅱ study

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Signal Transduction and Targeted Therapy 2023年第11期8卷 5556-5562页

作者： Tian-Qi Zhang Zhi-Jun Geng Meng-Xuan Zuo ji-bin li jin-Hua Huang Zi-lin Huang Pei-Hong Wu Yang-Kui Gu Department of Minimally Invasive Interventional Therapy Sun Yat-sen University Cancer CenterGuangzhouP.R.China State Key Laboratory of Oncology in South China Collaborative Innovation Center for Cancer MedicineGuangzhouP.R.China Department of Radiology Sun Yat-sen University Cancer CenterGuangzhouP.R.China Department of Clinical Research Sun Yat-sen University Cancer CenterGuangzhouP.R.China

Hepatic arterial infusion chemotherapy(HAIC)using a combination of oxaliplatin,fluorouracil,and leucovorin(FOLFOX)has shown promise for hepatocellular carcinoma(HCC)patients classified under Barcelona Clinic liver Cancer(BCLC)stage *** China,the combined therapy of camrelizumab and apatinib is now an approved first-line approach for inoperable *** study(NCT04191889)evaluated the benefit of combining camrelizumab and apatinib with HAIC-FOLFOX for HCC patients in BCLC stage *** patients were given a maximum of six cycles of HAIC-FOLFOX,along with camrelizumab and apatinib,until either disease progression or intolerable toxicities *** primary outcome measured was the objective response rate(ORR)based on the Response Evaluation Criteria in Solid Tumors(RECIST)***-five patients were *** on RECIST v1.1 criteria,the confirmed ORR stood at 77.1%(95%CI:59.9%to 89.6%),with a disease control rate of 97.1%(95%CI:85.1%to 99.9%).The median progression-free survival was 10.38 months(95%CI:7.79 to 12.45).Patient quality of life had a transient deterioration within four cycles of treatment,and generally recovered *** most frequent grade≥3 or above treatment-related adverse events included reduced lymphocyte count(37.1%)and diminished neutrophil count(34.3%).The combination of camrelizumab,apatinib,and HAIC demonstrated encouraging results and manageable safety concerns for HCC at BCLC stage C.

关键词： infusion transient Barcelona