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解非线性方程的免导数牛顿算法 被引量:1
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作者 李万斌 颜永明 《怀化学院学报》 2010年第5期34-37,共4页
通过函数值的运算近似牛顿法中的导数项,构造了一个免导数的牛顿法.该算法与牛顿法一样,具有二阶收敛速度,但不需要用到函数的导数.通过与二分法结合,实现该算法的全局收敛性.数值结果表明该算法是有效的.
关键词 非线性方程 免导数 区间二分法 二阶收敛
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非负象限权互补问题的免导数非单调光滑牛顿法
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作者 刘文丽 迟晓妮 +1 位作者 张璐 李绍刚 《桂林电子科技大学学报》 2021年第6期504-509,共6页
光滑牛顿法是求解互补问题最常用的方法,故将非单调光滑牛顿法推广到求解非负象限权互补问题上。首先,构造新的权互补问题的光滑函数,并研究其连续性、可微性等性质;其次,基于该函数,将非负象限权互补问题转化成含光滑参数的光滑方程组... 光滑牛顿法是求解互补问题最常用的方法,故将非单调光滑牛顿法推广到求解非负象限权互补问题上。首先,构造新的权互补问题的光滑函数,并研究其连续性、可微性等性质;其次,基于该函数,将非负象限权互补问题转化成含光滑参数的光滑方程组,当光滑参数为0时,该方程组的解即为非负象限权互补问题的解;最后,借助光滑方程组的连续性、雅可比矩阵非奇异性等性质,提出一种求解该方程组的非单调光滑牛顿法。为使求解算法高效稳定,所提算法采用新的免导数非单调线搜索技术。在适当假设下,证明了算法全局收敛性质。利用算法求解非负象限线性权互补问题和非负象限非线性权互补问题,验证了算法的有效性和稳定性. 展开更多
关键词 权互补问题 光滑函数 免导数非单调线搜索 光滑牛顿法 全局收敛性
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Influence of Shenqing Recipe on Morphology and Quantity of Colonic Interstitial Cells of Cajal in Trinitrobenzene Sulfonic Acid Induced Rat Colitis 被引量:3
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作者 Yan-cheng Dai Zhi-peng Tang +2 位作者 Zhen-nan Wang Ya-li Zhang Xin-ying He 《Chinese Medical Sciences Journal》 CAS CSCD 2011年第1期43-48,共6页
Objective To observe the influence of Shenqing Recipe (SQR), a kind of Traditional Chinese Medicine, on the morphology and quantity of colonic interstitial ceils of Cajal (ICC) in trinitrobenzene sulfonic acid (TNBS)-... Objective To observe the influence of Shenqing Recipe (SQR), a kind of Traditional Chinese Medicine, on the morphology and quantity of colonic interstitial ceils of Cajal (ICC) in trinitrobenzene sulfonic acid (TNBS)-induced rat colitis, and to investigate the possible mechanism of SQR in regulating intestinal dynamics. Methods Sixty rats were randomly divided into normal control, model Ⅰ , model Ⅱ, mesalazine, and high-dose, and low-dose SQR groups with 10 rats in each group. TNBS (10 mg) dissolved in 50% ethanol was instilled into the lumen of the rat colon of the latter five groups to induce colitis. On the 4th day after administration of TNBS, each treatment group was administered one of the following formulations by enteroclysis gavage once a day for 7 days: 600 mg·kg^-1·d^-1 mesalazine, 2.4g^-1·d^-1 SQR, and 1.2g^-1·d^-1 SQR. Model Ⅱ rats received normal saline solution. After 7 days colonic samples were collected. While the colonic samples of model I group were collected on the 3rd day after TNBS administered. Ultrastructure of ICC in the damaged colonic tissues was observed with transmission electron microscope. Expression of c-kit protein in colonic tissue was determined by immunohistochemical staining and Western blot. Results The ultrastructure of colonic ICC in the rat model of TNBS-induced colitis showed a severe injury, and administration of SQR or mesalazine reduced the severity of injury. Similarly, the expression of c-kit protein of TNBS-induced colitis rat model was significantly decreased compared with the normal control group (P〈0.05). Treatment with SQR or mesalazine significantly increased the expression of c-kit protein compared with the administration of control formulations (P〈0.05), especially the high-dose SQR group. Conclusion SQR could alleviate and repair the injured ICC, and improve its quantity, which might be involved in regulating intestinal motility. 展开更多
关键词 Shenqing Recipe trinitrobenzene sulfonic acid COLITIS C-KIT interstitialcells of Cajal
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Gene cloning and induced expression pattern of IRF4 and IRF10 in the Asian swamp eel(Monopterus albus) 被引量:3
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作者 Qiao-Qing XU Dai-Qin YANG +3 位作者 Rui TUO Jing WAN Ming-Xian CHANG Pin NIE 《Zoological Research》 CAS CSCD 北大核心 2014年第5期380-388,共9页
The Asian swamp eel (Monopterus albus) is one of the most economically important freshwater fish in East Asia, but data on the immune genes of M. albus are scarce compared to other commercially important fish. A bet... The Asian swamp eel (Monopterus albus) is one of the most economically important freshwater fish in East Asia, but data on the immune genes of M. albus are scarce compared to other commercially important fish. A better understanding of the eel's immune responses may help in developing strategies for disease management, potentially improving yields and mitigating losses. In mammals, interferon regulatory factors (IRFs) play a vital role in both the innate and adaptive immune system; though among teleosts IRF4 and IRFIO have seldom been studied. In this study, we characterized IRF4 and IRFIO from M. albus (malRF4 and malRFlO) and found that malRF4 cDNA consists of 1 716 nucleotides encoding a 451 amino acid (aa) protein, while malRFlO consists of 1 744 nucleotides including an open reading frame (ORF) of 1 236 nt encoding 411 aa. The malRFlO gene was constitutively expressed at high levels in a variety of tissues, while malRF4 showed a very limited expression pattern. Expression of malRF4 and malRFlO in head kidney, and spleen tissues was significantly up-regulated from 12 h to 48 h post-stimulation with polyinosinic: polycytidylic acid (poly I:C), lipopolysaccharide (LPS) and a common pathogenic bacteria Aeromonas hydrophila. These results suggest that IRF4 and IRF10 play roles in immune responses to both viral and bacterial infections in M. albus. 展开更多
关键词 Monopterus albus IRF4 IRF10 Poly I:C UP-REGULATION
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