图的参数π（G）及其图的分类

图Ｇ的参数π（Ｇ）与图的色多项式和色唯一性研究密切相关。令∏＿ｉ表示π（Ｇ）＝－ｉ的连通图类。本文给出了π（Ｇ）的某些性质与∏＿ｉ的递归构造方法。

一维对称正则长波方程的齐次平衡法和(ω/g)展开法的研究

以一维对称正则长波方程作为研究对象,利用求解非线性偏微分方程时常用的齐次平衡法以及一种比较新颖的(ω/g)展开法求出一维对称正则长波方程的孤子解,并对方程的解进行了详细的分析讨论.

ω-3 PUFA/GPR120在恶性肿瘤中的侵袭转移作用研究进展

G蛋白偶联受体(GPR)120是GPR这一大类细胞膜蛋白家族中最神秘的一种,其广泛参与了抗炎、激素分泌调节、糖脂代谢、细胞增殖等细胞病理生理过程。目前,恶性肿瘤发病率逐渐上升,其侵袭转移的特性给治疗造成极大障碍,给社会及家庭带来巨大负担。而GPR120及其配体ω-3多不饱和脂肪酸(ω-3 PUFA)关系密切,GPR120通过调控多个信号通路参与肿瘤细胞生长增殖、凋亡、侵袭转移和耐药等生物学过程。因此,了解ω-3 PUFA/GPR120在肿瘤中的侵袭转移作用可为肿瘤研究提供一定指导。未来需进一步研究ω-3 PUFA/GPR120在肿瘤中所涉及的上下游分子靶点和具体信号通路,以及ω-3 PUFA/GPR120在肿瘤的早期诊断、侵袭及预后评估、靶向精准治疗方面的作用,以期优化肿瘤评估、治疗方案。

Correlation of Various Foods Intakes and Plasma Levels of Omega Fatty Acids in Healthy Japanese Old Men

Background: Trans fatty acids are considered to impair health and some ω fatty acids are protective against atherosclerosis and diabetes mellitus. Trans fatty acids are said to be formed by the partial hydrogenation of vegetable oils. Some amounts are produced in digestive organs of ruminants and present in dairy products or meat. It is important how much these intaken fatty acids influence their plasma levels. Methods: Plasma levels of fatty acids including transforms of healthy old men are measured by gas chromatography and correlations between various foods intakes and plasma levels of trans fatty acids, and ω fatty acids are examined. Results: Intake of fish resulted in increase in plasma levels of docosahexaenoic acid (DHA) and eicosapentaenoic acid (EPA) but intake of meat such as beef, cow and chicken meat did not increase plasma levels of arachidonic acid (AA). Intakes of oils increased plasma levels of dihomo-g-linolenic acid significantly and AA to some extent. Conclusion: Plasma levels of EPA and DHA increased upon intakes of fish in Japanese old men. Oil intake but not meat intake increased DGLA significantly. These results may explain low incidence of cardiovascular diseases in Japanese people compared with American people whose plasma levels of DHA and EPA are lower.

Brezis-Gallouet' s inequality in higher-dimensional spaces

In the classical embedding theorem,assume Wpk（Rn）to be the usual Sobolev space.Ifkp【n,then Wpk Lq（Rn）,where q-1=p-1-k/n;if kp】n,then Wpk L∞（Rn）;in the limitingcases,if kp=n,then Wpk need not be in L∞（Rn）.Hence,Brezis and Gallouet discoveredthe following inequality（it is called the B-G’s inequality）: