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二次导数

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Based on three-points quadratic interpolation ,an algorithm is provided for solving nonlinear equation.

利用优化技术中的三点二次插值法求解,在不需要计算导数的情况下给出一种具有超线性收敛的迭代算法。

TyPe II collagen induced arthritisln the rat ank1e joint andoVathumin as antigen induced arthritis WA in the rabbit knee joint wereestab1ish2 Qualitative evaluation of me in skin, muscle, synovium, cedilagearound joint and blood was performed by OMA3 The CIA rats were treated on day 7 after hind paw swelling and erythemaAnimals were injected intravenously with ase at a dose of 10mg/kg,tWenty minuots 1ater, one ankle of the rats random1y assigned was exPosedlaser irradiation at l00J/cm fOr l000 seconds, and another ankle wasM grouP wihout laser The other two groups is unmanipulatedcontrol group and untreated CIA group Bimaleolar ankle widthmeasuremellts were taken in all animals every tWo days using amicrometer The histopathology of the ank1e Joint was assessed at day 21after disease onset4 The pro1iferating cell nuclear antigen WCNA of CIA treated by PDT andthe HMME group without laser was doterdrined by immunohistochemiStry5 The AfA rabbits were treated on day 7 after knee swelling and erythemaThe theraPy invo1ved lntravenous injection of l0mg/kg HMME, fOl1owedby 20 minues period in dim light, and transdermal light treatment with\l00 J/cm2 fOr l000 seconds The inner sides of the treated Anees wereirradiated at first, and then the outer side did 24 hours later, the synovialtissue of the Anees joint were removed and in situ cel1 aPoptosis wasdetCCted With tednal deoxync1eotidyl transferase-mediated dUTP nickend labelingR6suIt8:l The pathologic changes of CIA and AIA include subsynovial inflammation,opovial hyPerplasia, pannus formation, cartilage and bone destructionresemble RA.2 The studies demonstrated that there are different uptake of HMME withinskin, muscle, synovium, cartilage and b1ood, and the synovium cou1draPidly uPtake more ase than skin and cartilage at the firSt 30 minuesaller intravenous injection of HMME3 The bimaleolar anke width had no different among PDT treated group,H group withollt 1aser and untreated CIA group But hlstologicalevaluation showed statiStical1y significallt reductions in synovialhyperplasia, pannus formation and cart1lage reosion, bone destruction andtotal score in PDT treated group4 Image analysis showed that the ratlo bforeen the areas of the coufltedobect to that of the entire area in PDTtreated grOup is lower than that in conirol group, but the integrated oPticaldensity had no different between the two groups5 Imape analysis showed that the ratio between the area of the countedobject to that of the e

治疗组在大鼠出现踝关节红肿后1周,炎症达到高峰时进行PDT治疗。随机治疗大鼠一侧的踝关节,另。2。一一侧作单纯HMME 对照。治疗方法是大鼠麻醉后尾静脉注入 HMME10ngkg,20分钟后踝关节照光,激光波长627.sum,功率密度 100mwcm',照射时间1000秒,能量密度100)/。治疗后避光喂养72 小时。隔日一次测量大鼠的踝关节左右横径,治疗后两周取关节进行病理d 观察。 4。大鼠CIA模型用上述方法进行PDT治疗后,治疗组和单纯HMME 组用兔疫组化SP法检测石蜡切片的核增殖抗原。 5。兔AIA模型在关节炎出现第七天进行PDT治疗,随机治疗一侧膝关节,另一侧作自身对照。兔耳静脉注入I'arrainrelomg/Kg,20分钟后,膝关节用金蒸气激光照射,激光能量密度100)儿旷。24 /J'时后取膝关节滑膜作病理检查,并用脱氧核昔酸末端转移酶介导的缺口末端标记法原位检测凋亡细胞。结果: 1。模型观察:CIA大鼠炎症高峰期滑膜下炎细胞浸润明显,滑膜细胞明显增殖,炎症达到高峰后二周,血管缀形成,并侵蚀和破坏软骨和骨, CIA模型病理改变与人类RA相似。兔AIA模型膝关节滑膜病理可见滑膜细胞增生,滑膜下炎细胞浸润,也与人类RA滑膜改变相似。 2。关节周围组织中光敏剂含量的测定结果表明,各组织对HMME 的吸收速度和吸收量不同,荧光值一时间曲线不同,滑膜组织比皮肤和软骨对 HMME的吸收多,在 2 0分钟时即有明显差异。 3.PDT对CIA模型的治疗结果表明:PDT治疗后关节炎组、单纯 HMME组和治疗组踝关节左右横径统计学检验差异没有显著性,但病理评分PDT治疗组滑膜增生、血管资形成及软骨破坏、骨破坏和总分比关节炎对照组和HMME对照组好,统计学检验差异有显著性。。3_军医进修学院硕士学位论文中文摘要 4.PDT治疗组PCNA阳性细胞较对照组少,图像分析结果表明面密度(阳性染色的面积总和与统计视野面积的比值)治疗组小于对照组,统计学检验差异有显著性。。 5.PDT治疗组凋亡阳性细胞较对照组明显增多,图像分析结果单位视野内阳性细胞数和面密度PDT治疗组高于对照组,统计学检验差异有显著性。凋亡细胞核直径PDT治疗组较小,与对照组相比,统计学检验差异有显著性。结论:二。CIA、AIA的病理改变类似人类RA,可作为研究RA病因、发病机制、检查及治疗方法的模型。 2。各组织对HMME的吸收速度和吸收量不同,滑膜组织比皮。

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