带有临界增长的Kirchhoff方程极小能量变号解的存在性

为了深入研究Kirchhoff方程的性质,讨论了带有Hartree项和临界增长非线性项的Kirchhoff方程极小能量变号解的存在性。利用能量泛函在变号Nehari流形上的下确界C_λ收敛于0,得到空间E紧嵌入L~6(R~3)这一技术性结果。结果表明,利用限制变分方法和定量形变引理获得极小化序列对应的极小值点是该问题的非平凡解。研究方法在理论证明方面得到了良好的结果,对研究其他Kirchhoff方程解的存在性有一定的指导意义。     

一种自适应步长的复合梯度加速优化算法

自适应步长加速(Adam)类算法由于其计算效率高、兼容性好的特点，成为近期相关领域的研究热点.针对Adam收敛速度慢的问题，本文基于当前梯度、预测梯度以及历史动量梯度，提出一种新型Adam类一阶优化算法——复合梯度下降法(C-Adam)，并对其收敛性进行了理论证明.与其他加速算法的区别之处在于，C-Adam将预测梯度与历史动量区别开，通过一次真实的梯度更新找到下一次迭代更精准的搜索方向.利用两组常用测试数据集及45钢静拉伸破坏实验的实验数据对所提算法进行验证，实验结果表明C-Adam与其他流行算法相比较具有更快的收敛速度及更小的训练损失.     

一类非自治变时滞Logistic方程的全局吸引性

主要研究一类可变时滞非自治Logistic方程的全局吸引性,通过分别研究非振动解和振动解的性质并使用一定的分析技巧结合不等式的方法,得到了方程的正平衡态为全局吸引子的新的充分条件,这些条件便于验证.所得到的结果推广并改进了相关文献中的一些结果,也完善并补充了非自治变时滞Logistic方程的全局吸引性问题的研究工作.     

Specific anti-tumor effect induced by attenuated Salmonella typhimurium vaccine expressing extracellular region of vascular endothelial growth factor receptor 2

The purposes of this research were to study the stable expression of exogenous gene encoding therapeutic protein in attenuated Salmonella typhimurium, observe the metabolism of oral gene vaccine carried by attenuated Salmonella typhimurium in BALB/c mouse, and investigate the feasibility of prevention and treatment of tumors by the recombinant bacteria. Recombinant plasmid pcDNA3.1 VEGFR2(n1-7) was transformed into competent attenuated Salmonella typhimurium SL3261 to develop oral DNA vaccine SL3261-pcDNA3.1 VEGFR2(n1-7). To observe whether the exogenous gene can be expressed in the recombinant bacteria, PCR was performed to amplify the CMV promoter of the eukaryotic expression vector as the proof of stable expression of exogenous protein; transmission elec- tron microscopy (TEM) was applied to observe the morphology of the recombinant bacteria to confirm that the exogenous gene has no impact on the growth of the bacteria, and then BALB/c mice were immunized with the gene vaccine. After inoculation of the gene vaccine, the recombinant bacteria SL3261 could be detected in the tissues such as small intestine, colon, liver and spleen. And then, mice in each group were challenged with tumor cells. The results of animal experiment showed that tumor growth of the mice in experimental group was inhibited and survival time of immunized mice was prolonged compared with control groups. A higher lymphocyte infiltration in tumors from animals treated with DNA vaccine was observed. Immunohistochemical analysis of tumor samples revealed an en- hanced accumulation of CD8 cytotoxic T lymphocytes, as well as an increase in CD4 cells in the tumors of animals treated with the oral gene vaccine compared to tumors from control group mice. Ultrastructure of the tumor tissue showed that tumor cells in the samples of the immunized mice were well-differentiated. Our research confirmed that the exogenous gene can be stably expressed in the attenuated Salmonella typhimurium and has no impact on the growth of the recombinant bacteria; the exogenous gene can de delivered to the host by attenuated Salmonella typhimurium to produce anti-tumor effect with no obvious cytotoxity to the host. In this study, it is established that attenuated Salmonella typhimurium could be used as a vector for oral gene vaccine, and our study provided a theoretical basis for the body distribution and the metabolism of the recombinant bacteria. This strategy may provide a simple, safe and effective way for the prevention and treatment of tumors.     

基于系统动力学理论建模的教育投资、经济增长和就业问题的研究

运用系统动力学的理论、方法构建模型,对教育投资、经济增长与就业问题进行了模拟,提出应加大教育投资力度,提高国民教育水平,将巨大的人口压力转化为巨大的人力资本优势,同时也必须兼顾由于人口总量以及其他因素导致的巨大的就业压力问题,在教育投资与固定投资之间保持合理的比例关系,以促进经济的持续、适度发展,为政府决策提供参考和依据。     

“926”植物生长调节剂的药效作用及机理研究

试验表明，“９２６”植物生长调节剂对植物种子活力、根系活力、植物生长发育具有明显的促进作用。用“９２６”浸稻种和玉米种，可提高发芽势、发芽率，增加次生根数和次生根长。苗期施药，同样可促进幼苗生长发育、促进根系发育、增加分蘖、分枝，提高成穗率。其它生育期施药，可分别提高成稳率、穗粒数、粒重，显著提高作物产量。     

上皮生长因子预防心脏术后心包粘连的实验及临床研究

目的探讨上皮生长因子(EGF)对心脏术后心包粘连的预防作用.方法术中对犬心包内喷洒上皮生长因子3个月后,观察心包粘连情况;选先天性心脏病、房缺及室缺病人40例,术中心包内喷洒上皮生长因子,术后6个月、12个月经CT检查,判定心包粘连、增厚结果.结果在动物实验和临床研究中,实验组粘连程度显著低于对照组(P<0.01).结论 EGF心包内应用有明显预防心脏术后心包粘连的作用.     

Microstructure transition of Al-Cu eutectic alloy during containerless rapid solidification

Droplets of Al-32.7%Cu eutectic alloy were rapidly solidified during containerless processing in a 3 m drop tube. The microstructural evolution of Al-Cu eutectic alloy depends strongly on droplet size. The eutectic growth morphology changes from regular lamellar eutectic to a kind of anomalous eutectic with the decrease in droplet size. This microstructural transition was analyzed within the current theories of eutectic growth. The results indicate that there exists a critical velocity for eutectic growth beyond which anomalous eutectic appears. The coupled zone of the Al-Cu eutectic alloy system has been calculated on the basis of the Trivedi-Magnin-Kurz(TMK) eutectic growth and the Lipton-Kurz-Trivedi(LKT)/Boettinger-Coriell-Trivedi(BCT) dendrite growth models, which provides a further interpretation for the morphological transition.     

籽瓜植株(地上部)的生长发育规律

对内蒙古地区有代表性的四个籽瓜品种植株(地上部)的生长发育进行了研究．结果表明：内蒙古籽瓜的全生育期为92-101d，籽瓜植株的生长发育可分为发芽期、幼苗期、伸蔓期和结果期，结果期分为前期(开花座果期)、中期(果实膨大期)、后期(种子成熟期)．发芽期、幼苗期以叶为生长中心，伸蔓期、结果前期以茎为生长中心，进入结果中期以果实为生长中心不同生育分期长短的差异主要表现在结果中期的差异上．