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On the Terai-Jésmanowicz Conjecture

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Acta Mathematica Sinica,English Series 2008年第12期24卷 2061-2064页

作者： Jian Ye XIA ping zhi yuan Department of Basic Science Guangdong University of Finance Guangzhou 510521 P. R. China School of Mathematics South China Normal University Guangzhou 510631 P. R. China

In this paper, we prove that if a, b and c are pairwise coprime positive integers such that a^2＋b^2=c^r,a〉b,a≡3 （mod4）,b≡2 （mod4） and c-1 is not a square, thena a^x＋b^y=c^z has only the positive integer solution （x, y, z） = （2, 2, r）. Let m and r be positive integers with 2｜m and 2 r, define the integers Ur, Vr by （m ＋√-1）^r=Vr＋Ur√-1. If a = ｜Ur｜,b=｜Vr｜,c = m^2＋1 with m ≡ 2 （mod 4）,a ≡ 3 （mod 4）, and if r 〈 m/√1.5log3（m^2＋1）-1, then a^x ＋ b^y = c^z has only the positive integer solution （x,y, z） = （2, 2, r）. The argument here is elementary.

关键词： exponential diophantine equations Terai-Jesmanowicz conjecture Lucas sequences

Expression of interleukin-22/STAT3 signaling pathway in ulcerative colitis and related carcinogenesis

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World Journal of Gastroenterology 2013年第17期19卷 2638-2649页

作者： Lian-Zhen Yu Hai-Yang Wang Shu-ping Yang zhi-ping yuan Fang-yuan Xu Chao Sun Rui-Hua Shi Department of Gastroenterology First Affiliated Hospital of Nanjing Medical University Department of Internal Medicine Affiliated Mingde Hospital of Nanjing Medical University

AIM:To investigate the expression of interleukin (IL)-22 and its related proteins in biopsy specimens from patients with ulcerative colitis (UC) and UC-related carcinogenesis. METHODS:Biopsy specimens were obtained from patients with inactive (n = 10), mild-to-moderately active (n = 30), severely active (n = 34), initial (n = 30), and chronic UC (n = 44), as well as UC patients with dysplasia (n = 10). Specimens from patients without colonic abnormalities (n = 20) served as controls. Chronic colitis in experimental mice was induced by 2.5% dextran sodium sulfate. The expression levels of IL-22, IL-23, IL-22R1 and phosphorylated STAT3 (p- STAT3) were determined by immunohistochemistry. Bcl-2, cyclin D1 and survivin expression was detected by Western blotting. RESULTS:Patients with active UC had significantly more IL-22, IL-23, IL-22R1 and p-STAT3-positive cells than the patients with inactive UC and normal controls. Furthermore, IL-22 and related proteins were closely related to the severity of the colitis. The expression of IL-22 and IL-22R1 in the tissue of initial UC was stronger than in that of chronic UC, whereas the expression of p-STAT3 was significantly increased in chronic UC tissues. In dysplasia tissues, the expression level of IL-22 and related proteins was higher compared with controls. Mouse colitis model showed that expression of IL-22, IL-22R1 and IL-23 was increased with time, p-STAT3 and the downstream gene were also remarkably ***:IL-22/STAT3 signaling pathway may be related to UC and UC-induced carcinogenesis and IL-22 can be used as a biomarker in judging the severity of UC.

关键词： Ulcerative colitis Ulcerative colitis-related carcinogenesis Interleukin-22 Interleukin-22R1 STAT3

The Influence of Different Single Radiation Dose on Delayed Growth of Transplanted Tumor in Athymic Mouse

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Clinical oncology and cancer researeh 2010年第5期7卷 303-309页

作者： zhi-zhen WANG zhi-yong yuan ping WANG Key Laboratory of Cancer Prevention and Therapy and Department of Radiation Therapy Tianjin Medical University Tianjin Cancer Institute & Hospital Tianjin 300060 China.

OBJECTIVE To reveal the biological effects and effective dosage in radiotherapy model which applies high single-dose irradiation by animal experiment. METHODS We inoculated subcutaneouly human pancreatic carcinoma cell line （MIA PaCa-2） in the lateral of the right lower extremity of the athymic mouse to grow transplantation tumor. While the median diameter of transplantation tumor reached 10 mm approximately, the animals were randomly divided into 7 groups （6 animals per group） and irradiation by different dose in one fixed with consciousness for fraction （0, 2, 5, 10, 17, 25, 35 Gy）. All were kept on to be bred for observation of the change in gross tumor volume, calculation of delayed growth time and delayed growth curve. RESULTS With increased dose per fraction, cutaneous reaction on the neoplasma surface of the animal, which was mainly moist yellow effusion was more and more severe. When dosage is less than 10 Gy, all animals showed similar effects, that＇s the delayed tumor growth was not obvious. Tumors receiving more than 10 Gy in one fraction showed very good biological effect and the delayed tumor growth was obviously related to dosage. The difference in delayed tumor growth between the 2 groups was statistically significant. The delayed tumor growth time in 10, 17, 25 Gy group was respectively 3 weeks, 6 weeks and more. CONCLUSION The biological effect of the model which applies high single-dose irradiation （more than 10 Gy in one fraction） was very good. The effect of delayed tumor growth was obviously related to the dosage after transplantation tumor was radiated. Because of its higher dose per fraction and biological effects, the model of high single-dose irradiation can get better clinical effects.

关键词： hypofactionation radiotherapy delayed growth curve MIA PaCa-2 oncosis transplanted tumor.

Initial Approach to the Cellular Irradiation Injury of Human Pancreatic Carcinoma Cell Line MIA PaCa-2 by High Dose per Fraction

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Clinical oncology and cancer researeh 2010年第6期7卷 352-358页

作者： zhi-zhen WANG Hai-li YU zhi-yong yuan ping WANG Department of Radiation Therapy Tianjin Medical University Cancer Institute and Hospital Tianjin Key Laboratory of Cancer Prevention and Therapy Tianjin 300060 China.

OBJECTIVE To investigate an initial approach of radiotherapy, which produces cellular radiation injury by high dose in one fraction. METHODS Human pancreatic carcinoma cell line MIA PaCa-2, was cultivated and divided into 5 groups： 0, 2, 5, 10, 17 Gy. Cultivated cells were irradiated by 6MV-X ray in one fraction. Analysis were done as follows： comet assay, which assessed the level of DNA damage in the treated cells right after the cell was irradiated, flow cytometry, which was performed at 0, 6, 12, 24, 36 h after the cell line treated to ladder, which quantitatively asses changes of its cell cycle, DNA assessed the degree of DNA injury after 6 and 12 h, and histological examination, which analyzed cellular morphology after 24 h. RESULTS （1） After X-ray irradiated, the morphological change of human pancreatic carcinoma cell line （MIA PaCa-2） was mainly swelling. （2） When the dose of radiation was lower than 10 Gy, increasing the dose could greatly improve cell necrosis, apoptosis and blockage of cell cycle in GJM phase, which was consistent with the theory of radiation biology. （3） When radiation dose was more than the 10 Gy, the peak of apoptotic necrosis appeared strong and early. （4） The degree of DNA injury was also related to the dose of radiation therapy and most obvious in the 10 Gy group and not so obvious in the 17 Gy group. （5） When dose was less than 10 Gy, DNA ladder was a single electrophoretic band; in the 10 Gy group, the electrophoresis showed a multiple ladder band; when dose was more than 10 Gy, a vague and irregular band appeared on the electrophoresis. CONCLUSION Oncotic necrosis may be the main cell death style when dose per fraction is high, which differs from conventional dose fraction radiation therapy.

关键词： dose-response relationship drug necrosis irradiation injury.

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n-Cycle置换的进一步研究

数学学报（中文版） 2023年第1期66卷 95-104页

作者：张志林袁平之华南师范大学数学科学学院广州510640

作为陈、王、朱近期工作的延伸,我们将继续讨论型为x^(r)h(x^(s))的n-cycle置换.另外,基于一些细致的讨论研究,我们还将给出四个有意思的问题.

关键词：置换多项式 n-cycle置换有限域 x^(r)h(x^(s))

The Effects of Demographic Features on Differences in Sensitivity between PCL-C and SCL-90 Scores in a Follow-up Study in Secondary School Students in the Wenchuan Earthquake Region

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Biomedical and Environmental Sciences 2011年第6期24卷 642-648页

作者： HOU Feng Su LI Ting LI Juan HU Xiao Qin LIU zhi Yue yuan ping Department of Epidemiology West China School of Public Health Sichuan University Chengdu 610041 SichuanChina

Objective To analyze the sensitivity of effect factors between the PCL-C and the SCL-90, to provide evidence for social psychological crisis screening and post-trauma interventions. Methods We administered the PCL-C and SCL-90 to screen for PTSD and other psychological problems among students who survived the disaster and continued their school studies. The surveys were carried out 3, 6, 9, and 12 months after the earthquake. A bivariate 2-level logistic model was used to explore the different levels of sensitivity among students. The factors influencing the relationships between PTSD and depression, and between PTSD and anxiety were examined. Results We analyzed data from 1677 students, revealing that female students in higher grades were more likely to exhibit symptoms of depression, rather than PTSD, compared with the control group （males in lower grades）, and the difference was significant （P〈0.05）. In contrast, ethnic minorities were more likely to exhibit PTSD symptoms compared to the others. In addition, female students were more likely to exhibit symptoms of anxiety than PTSD. Other effects that did not reach statistical significance were suggested to have a similar influence on PTSD, depression, and anxiety. Conclusion After a natural disaster, specific aspects of depression and anxiety should be examined, avoiding an overemphasis on PTSD in social psychological crisis interventions.

关键词： PTSD Depression Anxiety Bivariate 2-Level Logistic Model Students Natural disaster survivors