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超级分形雪花的生长运动学 被引量:1
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作者 殷雅俊 杨帆 范钦珊 《科学通报》 EI CAS CSCD 北大核心 2009年第22期3433-3440,共8页
以超级分形纤维的研究结果为基础,探索了(6+1)分圆超级分形纤维(其横截面是一朵超级分形雪花)的生长运动学(或花样运动学).研究表明,(1)超级分形雪花遵循简单的直线生长模式.(2)在给定的瞬间,雪花生长的速度在空间上均匀分布;在特定的... 以超级分形纤维的研究结果为基础,探索了(6+1)分圆超级分形纤维(其横截面是一朵超级分形雪花)的生长运动学(或花样运动学).研究表明,(1)超级分形雪花遵循简单的直线生长模式.(2)在给定的瞬间,雪花生长的速度在空间上均匀分布;在特定的空间点,雪花生长的速度随时间不断下降.(3)自相似比对超级分形雪花的生长运动学有决定性的影响:当且仅当自相似比等于1/3时,雪花的宏观生长速度等于微观生长速度,宏观稠密度等于微观稠密度;当自相似比小于1/3时,雪花的微观生长速度大于宏观生长速度,微观稠密度大于宏观稠密度;当自相似比大于1/3时,雪花的宏观生长速度大于微观生长速度,宏观稠密度大于微观稠密度.这些结果,为我们理解大自然中复杂的分形生长现象提供了参考. 展开更多
关键词 超级分形纤维 超级分形雪花 生长运动 花样运动
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我国优秀女子田径运动员部分项目运动成绩生长曲线的研究 被引量:1
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作者 周建梅 赵凤英 《武汉体育学院学报》 CSSCI 北大核心 1998年第1期22-25,共4页
本文引用生长曲线研究揭示了运动成绩生长曲线特征参数,建立了高峰期与影响运动寿命的回归方程,为延长运动员运动寿命提供理论依据。
关键词 生长曲线 运动成绩生长曲线 运动寿命
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神经生长圆锥运动的机制
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作者 Michael P.Sheetz 李云庆 《神经解剖学杂志》 CAS CSCD 北大核心 1993年第1期21-22,共2页
生长圆锥运动是一系列内部关联过程的结果,这些过程包括丝状假足的伸展、路径寻觅和轴突延伸(膜和细胞骨架的延伸)[Mitchison and Kirschner:Neuron 1:761(1988);Smith;Science 242:708(1988)]。
关键词 神经 生长圆锥运动
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会运动的植物
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作者 吴雪 《小学时代》 2003年第6期21-21,共1页
向日葵Helianthus annuus Linn 植物的向性运动可分为向光性、向地性和向触性,向日葵花的向阳是典型的向光性运动。请看田地中朵朵葵花向太阳。
关键词 向日葵 向性运动 植物 向光性运动 含羞草 生长运动 向触性 向地性 太阳 小叶片
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人胰岛素样生长因子1受体β结构域蛋白的原核表达及活性检测 被引量:1
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作者 郭靖 冯滢滢 +5 位作者 王涛 张柯 李玲 冀全博 徐小洁 叶棋浓 《细胞与分子免疫学杂志》 CAS CSCD 北大核心 2015年第9期1211-1215,共5页
目的构建人胰岛素样生长因子1受体(IGF1R)β亚基胞外结构域(ED)和胞内激酶(PKD)结构域的原核表达载体,获得纯化的GST-IGF1Rβ-ED和GST-IGF1Rβ-PKD融合蛋白,并检测其活性。方法用PCR方法从乳腺cDNA文库中扩增IGF1Rβ-ED和GST-IGF1Rβ-PK... 目的构建人胰岛素样生长因子1受体(IGF1R)β亚基胞外结构域(ED)和胞内激酶(PKD)结构域的原核表达载体,获得纯化的GST-IGF1Rβ-ED和GST-IGF1Rβ-PKD融合蛋白,并检测其活性。方法用PCR方法从乳腺cDNA文库中扩增IGF1Rβ-ED和GST-IGF1Rβ-PKD基因编码序列,将其正确插入pGEX-KG载体。重组质粒转化大肠杆菌Rossate表达后,用GST-Sepharose 4B珠子纯化融合蛋白,并用Western blot法检测融合蛋白表达,最后用GST pull-down技术检测纯化蛋白与已知蛋白表皮生长因子受体2驱动的细胞运动调节蛋白(MEMO)的相互作用。结果构建得到GST-IGF1Rβ-ED和GST-IGF1Rβ-PKD基因的原核表达载体,双酶切鉴定得到与预期片段大小相符的外源基因插入片段,测序后与目的序列一致;在Rossate菌中诱导表达出与预期位置相符的目的蛋白,并经过Western blot检测,融合蛋白成功表达;纯化得到GST-IGF1Rβ-ED和GST-IGF1Rβ-PKD两个融合蛋白,GST pull-down证明蛋白GST-IGF1Rβ-PKD可以和MEMO相互作用。结论成功克隆GST-IGF1Rβ-ED和GST-IGF1Rβ-PKD基因,并获得活性良好的GST-IGF1Rβ-ED和GST-IGF1Rβ-PKD蛋白。 展开更多
关键词 胰岛素样生长因子1受体(IGF1R) β亚基胞外结构域 β亚基胞内蛋白激酶结构域 原核表达 纯化 表皮生长因子受体2驱动的细胞运动调节蛋白(MEMO)
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Small intestinal bacteria overgrowth decreases small intestinalmotility in the NASH rats 被引量:32
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作者 Wan-Chun Wu Wei Zhao Sheng Li 《World Journal of Gastroenterology》 SCIE CAS CSCD 2008年第2期313-317,共5页
AIM: To explore the relationship between small intestinalmotility and small intestinal bacteria overgrowth(SIBO) in Nonalcoholic steatohepatitis (NASH), andto investigate the effect of SIBO on the pathogenesisof NASH ... AIM: To explore the relationship between small intestinalmotility and small intestinal bacteria overgrowth(SIBO) in Nonalcoholic steatohepatitis (NASH), andto investigate the effect of SIBO on the pathogenesisof NASH in rats. The effect of cidomycin in alleviatingseverity of NASH is also studied. METHODS: Forty eight rats were randomly dividedinto NASH group (n = 16), cidomycin group (n = 16)and control group (n = 16). Then each group weresubdivided into small intestinal motility group (n = 8),bacteria group (n = 8) respectively. A semi-solid coloredmarker was used for monitoring small intestinal transit.The proximal small intestine was harvested under sterilecondition and processed for quantitation for aerobes(E. coli) and anaerobes (Lactobacilli). Liver pathologicscore was calculated to qualify the severity of hepatitis.Serum ALT, AST levels were detected to evaluate theseverity of hepatitis. RESULTS: Small intestinal transit was inhibited inNASH group (P < 0.01). Rats treated with cidomycinhad higher small intestine transit rate than rats in NASHgroup (P < 0.01). High fat diet resulted in quantitativealterations in the aerobes (E. coli ) but not in theanoerobics (Lactobacill). There was an increase in thenumber of E. coli in the proximal small intestinal florain NASH group than in control group (1.70 ± 0.12 log10(CFU/g) vs 1.28 ± 0.07 log10 (CFU/g), P < 0.01). TNF-αconcentration was significantly higher in NASH groupthan in control group (1.13 ± 0.15 mmol/L vs 0.57 ±0.09 mmol/L, P < 0.01). TNF-α concentration was lowerin cidomycin group than in NASH group (0.63 ± 0.09mmol/L vs 1.13 ± 0.15 mmol/L, P < 0.01). Treatmentwith cidomycin showed its effect by significantly loweringserum ALT, AST and TNF-α levels of NASH rats. CONCLUSION: SIBO may decrease small intestinalmovement in NASH rats. SIBO may be an importantpathogenesis of Nash. And treatment with cidomycin by mouth can alleviate the severity of NASH. 展开更多
关键词 Nonalcoholic steatohepatitis Small intestinal motility Small intestinal bacteria overgrowth treatment
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Enhanced plasma ghrelin levels in Helicobacter py/ori-colonized, interleukin-1-receptortype 1-homozygous knockout (IL-1R1-/-) mice 被引量:3
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作者 Yuka Abiko Hidekazu Suzuki +5 位作者 Tatsuhiro Masaoka Sachiko Nomura Kumiko Kurabayashi Hiroshi Hosoda Kenji Kangawa Toshifumi Hibi 《World Journal of Gastroenterology》 SCIE CAS CSCD 2005年第27期4148-4153,共6页
AIM: Ghrelin is an endogenous ligand for the growth hormone secretagogue receptor, and it plays a role in stimulating the growth hormone secretion, food intake,body weight gain and gastric motility. Eradication of He... AIM: Ghrelin is an endogenous ligand for the growth hormone secretagogue receptor, and it plays a role in stimulating the growth hormone secretion, food intake,body weight gain and gastric motility. Eradication of Helicobacterpylori (H pylon) was shown to be associated with increase of the body weight. On the other hand, Hpylori infection evokes the release of gastric IL-1β. The present study was designed to investigate the involvement of the gastric IL-1 signal in the ghrelin dynamics in Hpyloricolonized mice.METHODS: Twelve-week-old female IL-l-receptor type 1-homozygous-knockout mice (IL-1R1^-/-) and their wild-type littermates (WT) were orally inoculated with H pylori (Hp group), while other cohorts received oral inoculation of culture medium (Cont group). Thirteen weeks after the inoculation, the mice were examined. The plasma and stomach ghrelin levels and the gastric preproghrelin mRNA were measured.RESULTS: Although the WT mice with Hpyloriinfection showed a significantly decreased body weight as compared with that of the animals without HpyloriinfecUon,Hpyloriinfection did not influence the body weight of the IL-1Rl-knockout (IL-1R1^-/-) mice. In the Hpylori-infected IL-1R1+ mice, the total and active ghrelin levels in the plasma were significantly increased, and the gastric ghrelin level was decreased. No significant differences were noted in the gastric preproghrelin mRNA expression.CONCLUSION: Ghrelin secretion triggered by H pylori infection might be suppressed by IL-1β, the release of which is also induced by the infection, resulting in the body weight loss of mice with Hpyloriinfection. 展开更多
关键词 GHRELIN HPYLORI IL-1 Body weight Myelo-peroxidase
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Parental involvement and gender differences in the psychological profile of freshmen collegiate athletes 被引量:1
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作者 J.Gualberto Cremades Catherine J.Donlon Artur Poczwardowski 《Journal of Sport and Health Science》 SCIE 2013年第3期160-167,共8页
Background: The parent-to-child influences can be adaptive and contribute to the optimal psychological well-being and positive perception of the athlete. Contrary to the healthy parental involvement, a family can als... Background: The parent-to-child influences can be adaptive and contribute to the optimal psychological well-being and positive perception of the athlete. Contrary to the healthy parental involvement, a family can also have negative effects on an athlete development. The purpose of this study was to determine gender, father involvement, and mother involvement differences in the psychological profiles of collegiate freshmen athletes as measured by perfectionism, physical self-concept, and psychological well-being. Methods: Eighty-two male and 73 female collegiate freshmen responded to self-reported measures of family involvement, perfectionism, physical self-concept, and psychological well-being. Three separate 2 x 2 x 2 (gender x mother involvement x father involvement) factorial multivariate analysis of variance (MANOVAs) were carried out on the respective subscales from the reported measures. Results: There were significant differences for gender as well as father involvement in perfectionism (p 〈 0.01). Freshmen females had lower concern over mistakes, and greater levels of organization as well as planfulness than males. Furthermore, freshmen athletes with high involved fathers showed greater levels of high standards for others as well as organization. Conclusion: Father involvement and mother involvement impact perfectionism, physical self-concept, and psychological well-being. perspective. extends through the freshmen year in college as shown in the athletes' Future research should develop better measures and utilize a family systems Copyright @ 2012, Shanghai University of Sport. Production and hosting by Elsevier B.V. All rights reserved 展开更多
关键词 DEVELOPMENT Father involvement Mother involvement PERFECTIONISM Physical self-concept Psychological well-being
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A Pin gene families encoding components of auxin efflux carriers in Brassica juncea
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作者 WEIMINNI XIAOYACHEN 《Cell Research》 SCIE CAS CSCD 2002年第3期247-255,共9页
Based on the sequence information of Arabidopsis PIN1, two cDNAs encoding PIN homologues from Brassica juncea, Bjpin2 and Bjpin3, were isolated through cDNA library screening. Bjpin2 and Bjpin3 encoded proteins contai... Based on the sequence information of Arabidopsis PIN1, two cDNAs encoding PIN homologues from Brassica juncea, Bjpin2 and Bjpin3, were isolated through cDNA library screening. Bjpin2 and Bjpin3 encoded proteins containing 640 and 635 amino acid residues, respectively, which shared 97.5% identities with each other and were highly homologous to Arabidopsis PIN1, PIN2 and other putative PIN proteins. BJPIN2 and BjPIN3 had similar structures as AtPIN proteins. Northern blot analysis indicated that Bjpin2 was expressed in stem, leaf and floral tissues, while Bjpin3 was expressed predominantly in stem and hypocotyls. Two promoter fragments of pin genes, Bjpin-X and Bjpin-Z, were isolated by 'genome walking' technique using primers at 5'-end of pin cDNA. Promoter-gus fusion studies revealed the GUS activities driven by Bjpin-X were at internal side of xylem and petal; while those driven by Bjpin-Z were detected at leaf vein, epidermal cell and cortex of stem, vascular tissues and anther. Results of the pin genes with different expression patterns in B. juncea suggested the presence of a gene family. 展开更多
关键词 Brassica juncea polar auxin transport auxin efflux carrier promoter.
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Effects of exercise-induced skeletal muscle damage and ultrastructure of muscle
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作者 Xiuchang Yang 《International Journal of Technology Management》 2014年第5期109-111,共3页
Micro- injury (exercise-induced muscle damage, EIMD) will cause a temporary decline in muscle function, if not handled properly, it could cause more serious injury or overtraining, and even lead to the end of the at... Micro- injury (exercise-induced muscle damage, EIMD) will cause a temporary decline in muscle function, if not handled properly, it could cause more serious injury or overtraining, and even lead to the end of the athletes ' sports life. However, some studies have shown that an appropriate period of eccentric exercise training resulted in EIMD while promoted heart muscle fiber hypertrophy and corresponding muscle growth faster than exercise training, and there are the typical " repetitive training effect" , ie after a period of the EIMD recovery, the muscle' s injury or delayed onset muscle soreness (DOMS) caused by the same movement is significantly reduced. So its deep study could help to guide the athlete to avoid or mitigate the negative effects which brought by EIMD, while could help to further clarify the process of the body to adapt to exercise training or mechanism. 展开更多
关键词 EXERCISE skeletal muscle damage ultrastructure of muscle
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Anguilliform Fish Propulsion of Highest Hydrodynamic Efficiency
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作者 William S. Vorus Brandon M. Taravella 《Journal of Marine Science and Application》 2011年第2期163-174,共12页
It is hypothesized that steady anguilliform swimming motion of aquatic animals is purely reactive such that no net vortex wake is left downstream. This is versus carangiform and tunniform swimming of fish, where vorte... It is hypothesized that steady anguilliform swimming motion of aquatic animals is purely reactive such that no net vortex wake is left downstream. This is versus carangiform and tunniform swimming of fish, where vortex streams are shed from tail, fins, and body. But there the animal movements are such to produce partial vortex cancellation downstream in maximizing propulsive efficiency. In anguilliform swimming characteristic of the eel family, it is argued that the swimming motions are configured by the animal such that vortex shedding does not occur at all. However, the propulsive thrust in this case is higher order in the motion amplitude, so that relatively large coils are needed to produce relatively small thrust; the speeds of anguilliform swimmers are less than the carangiform and tunniforrn, which develop first order thrusts via lifting processes. Results of experimentation on live lamprey are compared to theoretical prediction which assumes the no-wake hypothesis. Two-dimensional analysis is first performed to set the concept. This is followed by three-dimensional analysis using slender-body theory. Slender-body theory has been applied by others in studying anguilliform swimming, as it is ideally suited to the geometry of the lamprey and other eel-like animals. The agreement between this new approach based on the hypothesis of wakeless swimming and the experiments is remarkably good in spite of the physical complexities. 展开更多
关键词 HYDRODYNAMICS fish propulsion propulsion efficiency
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田径总论
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《体育科技文献通报》 2000年第5期35-36,共2页
G820.142.6,XL97153 20001840 我国优秀女子田径运动员部分项目运动成绩生长曲线的研究(XL,中,A)/周建梅∥武汉体育学院硕士学位论文,-1997.-1-25(SML) 田径∥女子∥优秀运动员∥成绩∥生长曲线∥参数∥运动寿命我国优秀运动员的运动寿... G820.142.6,XL97153 20001840 我国优秀女子田径运动员部分项目运动成绩生长曲线的研究(XL,中,A)/周建梅∥武汉体育学院硕士学位论文,-1997.-1-25(SML) 田径∥女子∥优秀运动员∥成绩∥生长曲线∥参数∥运动寿命我国优秀运动员的运动寿命普遍低于欧美强国,但我国女子田径项目在亚洲有明显优势,某些项目在世界处于领先地位。本文引进生长曲线,描绘出铅球、跳远、万米三项目运动员的运动成绩生长曲线,并揭示了生长曲线参数与运动寿命的关系,经研究运动成绩生长曲线有:无、单、多峰几种类型,项目不同曲线类型不同。本研究对延长运动员的运动寿命、控制和指导训练有一定的参考意义。 展开更多
关键词 运动成绩生长曲线 运动寿命 优秀运动 世界田径 女子田径运动 田径项目 领先地位 武汉体育学院 体育科技 硕士学位论文
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木犀草素抑制ERK1/2与p38 MAPK的活化介导鼻咽癌CNE1细胞的生长、移动性和肿瘤干细胞样特性 被引量:8
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作者 陈进芬 刘平 +3 位作者 陈静 吴志勇 华清泉 王兰 《中医学报》 CAS 2021年第6期1285-1291,共7页
目的:探索木犀草素对鼻咽癌CNE1细胞生长、移动性和肿瘤干细胞样特性的影响,及对相关蛋白表达的影响。方法:将CNE1细胞随机分为4组,对照组用含正常血清的DMEM培养基培养,其余3组细胞的血清DMEM培养基中分别加入5、10、20 mg·L^(-1... 目的:探索木犀草素对鼻咽癌CNE1细胞生长、移动性和肿瘤干细胞样特性的影响,及对相关蛋白表达的影响。方法:将CNE1细胞随机分为4组,对照组用含正常血清的DMEM培养基培养,其余3组细胞的血清DMEM培养基中分别加入5、10、20 mg·L^(-1)木犀草素,EdU渗入检测细胞增殖状态;免疫印迹法检测Ki67、Bcl-2/Bax、Survivin、c-Myc、VEGF、Vimentin、Fibronectin的表达及ERK1/2和p38 MAPK的磷酸化水平;Transwell实验观察细胞侵袭情况;肿瘤细胞成球实验检测肿瘤干细胞样特性;RT-PCR检测干细胞标记物CD33、SOX-2、OCT4的mRNA表达水平。结果:木犀草素抑制鼻咽癌CNE1细胞的增殖(P<0.05);与对照组比较,低剂量组Ki67、Bcl-2/Bax和p-ERK1/2蛋白表达水平显著降低(P<0.05),中、高剂量组Ki67、Bcl-2/Bax、Survivin、c-Myc、VEGF、Vimentin、Fibronectin、p-ERK1/2和p-p38 MAPK蛋白表达水平均显著降低(P<0.05);木犀草素处理后侵袭细胞数明显减少,肿瘤干细胞成球直径和数目均显著减少(P<0.05);与对照组比较,低剂量组OCT4 mRNA表达量显著降低(P<0.05),中、高剂量组CD33 mRNA、SOX-2 mRNA、OCT4 mRNA表达量均显著降低(P<0.05)。结论:木犀草素通过抑制ERK1/2和p38 MAPK的磷酸化,抑制鼻咽癌CNE1细胞的生长和运动,降低鼻咽癌干细胞样特性。 展开更多
关键词 木犀草素 ERK1/2 p38 MAPK 鼻咽癌 生长运动 干细胞样特性
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面部生长的基本概念
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作者 张兴中 《中华口腔正畸学杂志》 1998年第2期44-45,共2页
下面简要地总结了面部生长发育过程中的生物学原理。这些概念是理解正畸和正颌治疗的生物学原理以及“用生长来治疗”的基础。概念1骨生长的决定因素(或“控制”因素)并不在于骨自身而在于和骨相关的骨以外的所有由发育的、解剖的和... 下面简要地总结了面部生长发育过程中的生物学原理。这些概念是理解正畸和正颌治疗的生物学原理以及“用生长来治疗”的基础。概念1骨生长的决定因素(或“控制”因素)并不在于骨自身而在于和骨相关的骨以外的所有由发育的、解剖的和功能的因素组成的复合体中。这些因素... 展开更多
关键词 面部生长 生长和发育 生长运动 结缔组织 骨与软组织 生物性材料 非生物性 生物学原理 骨反应 形态发生
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不停运动的植物
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作者 黄双红 《聪明泉(小学1-3年级)》 2011年第2期35-36,共2页
植物王国趣事多多,它们竟然也会运动,而且还会不停地运动着。虽然植物的根系深深地扎在地下,不能像动物那样整体地移动,但植物体各个部分的细胞都在不停地进行着各种运动,只不过这些生长运动力极为缓慢,不易被人察觉。除了植物的细胞运... 植物王国趣事多多,它们竟然也会运动,而且还会不停地运动着。虽然植物的根系深深地扎在地下,不能像动物那样整体地移动,但植物体各个部分的细胞都在不停地进行着各种运动,只不过这些生长运动力极为缓慢,不易被人察觉。除了植物的细胞运动之外,植物在自身生长素的影响下,还会产生一些比较明显的运动方式。 展开更多
关键词 植物运动 生长 向日葵 细胞运动 生长运动 运动 运动方式 植物体 阳光 弯曲
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山慈菇对肝癌细胞凋亡和上皮间质转化的影响 被引量:13
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作者 程清波 杨艳萍 +3 位作者 王滢 程文涛 张晋芬 张小莉 《中医学报》 CAS 2021年第10期2202-2207,共6页
目的:探究山慈菇含药血清(Pseudobulbus Cremastrae seu Pleiones pharmaceutic serum,PCPS)对肝癌细胞HepG2凋亡和上皮间质转化的影响。方法:选取40只雌性SD大鼠,随机分为空白组和山慈菇低、中、高剂量组,每组10只,山慈菇低(5 mL·... 目的:探究山慈菇含药血清(Pseudobulbus Cremastrae seu Pleiones pharmaceutic serum,PCPS)对肝癌细胞HepG2凋亡和上皮间质转化的影响。方法:选取40只雌性SD大鼠,随机分为空白组和山慈菇低、中、高剂量组,每组10只,山慈菇低(5 mL·kg^(-1))、中(10 mL·kg^(-1))、高(20 mL·kg^(-1))剂量组大鼠灌胃给予1 kg·L-1的山慈菇浓煎剂,空白组大鼠给予等量生理盐水,每天1次,连续6 d,腹主动脉取血制备含药血清,并用不同浓度的含药血清干预正常培养的HepG2细胞。CCK8法检测HepG2细胞的活力;EdU染色检测细胞增殖情况;流式细胞仪检测细胞凋亡情况;Transwell小室实验检测细胞侵袭能力;光镜下观察细胞上皮和间质的形态转换;蛋白免疫印迹法检测细胞周期抑制因子p27、凋亡抑制因子Sur-vivin及上皮间质转化标记物上皮钙黏素(E-cadherin)、神经钙黏素(N-cadherin)、波形蛋白(Vimentin)的表达。结果:与空白组比较,10 mL·kg^(-1)、20 mL·kg^(-1) PCPS处理后,细胞生长曲线水平、细胞增殖率、侵袭率及Survivin、N-cadherin和Vimentin的表达水平显著下调(P<0.05),细胞凋亡率及p27、E-cadherin表达显著上调(P<0.05)。结论:PCPS可明显抑制肝癌细胞HepG2的生长,诱导凋亡,抑制其上皮间质转化。 展开更多
关键词 山慈菇 肝癌细胞 生长运动 细胞凋亡 上皮间质转化 大鼠
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Bistability theorem in a cancer model
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作者 Jens Christian Larsen 《International Journal of Biomathematics》 SCIE 2018年第1期61-98,共38页
In this paper, I continue the study of the mathematical models presented in [J. C. Larsen, Models of cancer growth, J. Appl. Math. Comput. 53(1-2) (2015) 613-645] and [J. C. Larsen, The bistability theorem in a mo... In this paper, I continue the study of the mathematical models presented in [J. C. Larsen, Models of cancer growth, J. Appl. Math. Comput. 53(1-2) (2015) 613-645] and [J. C. Larsen, The bistability theorem in a model of metastatic cancer, to appear in Appl. Math.]. I shall prove the bistability theorem for the ODE model from [Larsen, 2015]. It is a mass action kinetic system in the variables C cancer, GF growth factor and GI growth inhibitor. This theorem says that for some values of the parameters, there exist two positive singular points c*+ = (C*+, GF*., GI*+), c*2- = (C*-, GF*, GI*-) of the vector field. Here C*- 〈 C*+ and e. is stable and c*+ is unstable, see Sec. 2. There is also a discrete model in [Larsen, 2015], it is a linear map (T) on three-dimensional Euclidean vector space with variables (C, GF, GI), where these variables have the same meaning as in the ODE model above. In [Larsen, 2015], I showed that one can sometimes find attine vector fields on three-dimensional Euclidean vector space whose time one map is T. I shall also show this in the present paper in a more general setting than in [Larsen, 2015]. This enables me to find an expression for the rate of change of cancer growth on the coordinate hyperplane C = 0 in Euclidean vector space. I also present an ODE model of cancer metastasis with variables C, CM, CF,GI, where C is primary cancer and CM is metastatic cancer and GF, GI are growth factors and growth inhibitors, respectively. 展开更多
关键词 IMMUNOLOGY CANCER CHEMOTHERAPY immune therapy discrete dynamicalsystem Gompertz function.
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Growth of gas bubbles in the biotissues with convective acceleration
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作者 S. A. Mohammadein K. G. Mohamed 《International Journal of Biomathematics》 2014年第6期223-238,共16页
This paper presents formulae and explanation about the growth of a convective gas bubble in the blood and other tissues of divers who surface too quickly, concentration distribution around the growing bubble is also p... This paper presents formulae and explanation about the growth of a convective gas bubble in the blood and other tissues of divers who surface too quickly, concentration distribution around the growing bubble is also presented. The formulae are valid all over the growth stages, i.e. under variable ambient pressure while the diver is ascending, and under constant ambient pressure at diving stops or at sea level. The mathematical model is solved analytically by using the method of combined variables. The growth process is affected by tissue diffusivity, concentration constant and the initial void fraction, which is the dominant parameter. Results show that, the time of the complete growth, in the convective growth model, is shorter than those earlier presented by Mohammadein and Mohamed [Concentration distribution around a growing gas bubble in tissue, Math. Biosci. 225(1) (2010) 11-17] and Srinivasan et al. [Mathematical models of diffusion- limited gas bubble dynamics in tissue, J. Appl. Physiol. 86 (1999) 732-741] for the growth of a stationary gas bubble, this explains the effect of bubble motion on consuming the oversaturated dissolved gas from the tissue into growing bubble which leads to increment in the growth rate to be more than those presented in the previous stationary models. 展开更多
关键词 Gas bubble concentration distribution convective growth method of com- bined variables.
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