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An improved positioning model of deep-seafloor datum point at large incidence angle
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作者 Qianqian LI Shoulian CAO +2 位作者 Fanlin YANG Yu LUO Qian TONG 《Journal of Oceanology and Limnology》 SCIE CAS CSCD 2024年第1期90-100,共11页
The inhomogeneous sound speed in seawater causes refraction of sound waves,and the elimination of the refraction effect is essential to the accuracy of underwater acoustic positioning.The raytracing method is an indis... The inhomogeneous sound speed in seawater causes refraction of sound waves,and the elimination of the refraction effect is essential to the accuracy of underwater acoustic positioning.The raytracing method is an indispensable tool for effectively handling problems.However,this method has a conflict between localization accuracy and computational quantity.The equivalent sound speed profile(ESSP)method uses a simple sound speed profile(SSP)instead of the actual complex SSP,which can improve positioning precision but with residual error.The residual error is especially non-negligible in deep water and at large beam incidence angles.By analyzing the residual error of the ESSP method through a simulation,an empirical formula of error is presented.The data collected in the sailing circle mode(large incidence angle)of the South China Sea are used for verification.The experiments show that compared to the ESSP method,the improved algorithm has higher positioning precision and is more efficient than the ray-tracing method. 展开更多
关键词 underwater acoustic positioning seafloor datum points large incident angle equivalent sound speed profile(ESSP) deep water
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Securing 3D Point and Mesh Fog Data Using Novel Chaotic Cat Map 被引量:1
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作者 K.Priyadarsini Arun Kumar Sivaraman +1 位作者 Abdul Quadir Md Areej Malibari 《Computers, Materials & Continua》 SCIE EI 2023年第3期6703-6717,共15页
With the rapid evolution of Internet technology,fog computing has taken a major role in managing large amounts of data.The major concerns in this domain are security and privacy.Therefore,attaining a reliable level of... With the rapid evolution of Internet technology,fog computing has taken a major role in managing large amounts of data.The major concerns in this domain are security and privacy.Therefore,attaining a reliable level of confidentiality in the fog computing environment is a pivotal task.Among different types of data stored in the fog,the 3D point and mesh fog data are increasingly popular in recent days,due to the growth of 3D modelling and 3D printing technologies.Hence,in this research,we propose a novel scheme for preserving the privacy of 3D point and mesh fog data.Chaotic Cat mapbased data encryption is a recently trending research area due to its unique properties like pseudo-randomness,deterministic nature,sensitivity to initial conditions,ergodicity,etc.To boost encryption efficiency significantly,in this work,we propose a novel Chaotic Cat map.The sequence generated by this map is used to transform the coordinates of the fog data.The improved range of the proposed map is depicted using bifurcation analysis.The quality of the proposed Chaotic Cat map is also analyzed using metrics like Lyapunov exponent and approximate entropy.We also demonstrate the performance of the proposed encryption framework using attacks like brute-force attack and statistical attack.The experimental results clearly depict that the proposed framework produces the best results compared to the previous works in the literature. 展开更多
关键词 Chaotic cat map fog computing ENCRYPTION 3D point fog 3D mesh
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The asymptotic relation between the first crossing point and the last exit time of Gaussian order statistics sequences
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作者 NING Zi-jun TAN Zhong-quan 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2023年第4期545-561,共17页
In this paper,we study the asymptotic relation between the first crossing point and the last exit time for Gaussian order statistics which are generated by stationary weakly and strongly dependent Gaussian sequences.I... In this paper,we study the asymptotic relation between the first crossing point and the last exit time for Gaussian order statistics which are generated by stationary weakly and strongly dependent Gaussian sequences.It is shown that the first crossing point and the last exit time are asymptotically independent and dependent for weakly and strongly dependent cases,respectively.The asymptotic relations between the first crossing point and the last exit time for stationary weakly and strongly dependent Gaussian sequences are also obtained. 展开更多
关键词 rst crossing point last exit time stationary Gaussian sequences Gaussian order statistic se-quences
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Comparative Analysis of Climatic Change Trend and Change-Point Analysis for Long-Term Daily Rainfall Annual Maximum Time Series Data in Four Gauging Stations in Niger Delta
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作者 Masi G. Sam Ify L. Nwaogazie +4 位作者 Chiedozie Ikebude Jonathan O. Irokwe Diaa W. El Hourani Ubong J. Inyang Bright Worlu 《Open Journal of Modern Hydrology》 2023年第4期229-245,共17页
The aim of this study is to establish the prevailing conditions of changing climatic trends and change point dates in four selected meteorological stations of Uyo, Benin, Port Harcourt, and Warri in the Niger Delta re... The aim of this study is to establish the prevailing conditions of changing climatic trends and change point dates in four selected meteorological stations of Uyo, Benin, Port Harcourt, and Warri in the Niger Delta region of Nigeria. Using daily or 24-hourly annual maximum series (AMS) data with the Indian Meteorological Department (IMD) and the modified Chowdury Indian Meteorological Department (MCIMD) models were adopted to downscale the time series data. Mann-Kendall (MK) trend and Sen’s Slope Estimator (SSE) test showed a statistically significant trend for Uyo and Benin, while Port Harcourt and Warri showed mild trends. The Sen’s Slope magnitude and variation rate were 21.6, 10.8, 6.00 and 4.4 mm/decade, respectively. The trend change-point analysis showed the initial rainfall change-point dates as 2002, 2005, 1988, and 2000 for Uyo, Benin, Port Harcourt, and Warri, respectively. These prove positive changing climatic conditions for rainfall in the study area. Erosion and flood control facilities analysis and design in the Niger Delta will require the application of Non-stationary IDF modelling. 展开更多
关键词 Rainfall Time Series Data Climate Change Trend analysis Variation Rate Change point Dates Non-Parametric Statistical Test
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Point association analysis of vessel target detection with SAR, HFSWR and AIS 被引量:8
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作者 JI Yonggang ZHANG Jie +1 位作者 MENG Junmin WANG Yiming 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2014年第9期73-81,共9页
A space-borne synthetic aperture radar (SAR), a high frequency surface wave radar (HFSWR), and a ship automatic identification system (AIS) are the main remote sensors for vessel monitoring in a wide range. Thes... A space-borne synthetic aperture radar (SAR), a high frequency surface wave radar (HFSWR), and a ship automatic identification system (AIS) are the main remote sensors for vessel monitoring in a wide range. These three sensors have their own advantages and weaknesses, and they can complement each other in some situations. So it would improve the capability of vessel target detection to use multiple sensors including SAR, HFSWR, and A/S to identify non-cooperative vessel targets from the fusion results. During the fusion process of multiple sensors' detection results, point association is one of the key steps, and it can affect the accuracy of the data fusion and the efficiency of a non-cooperative target's recognition. This study investigated the point association analyses of vessel target detection under different conditions: space- borne SAR paired with AIS, as well as HFSWR, paired with AIS, and the characteristics of the SAR and the HFSWR and their capability of vessel target detection. Then a point association method of multiple sensors was proposed. Finally, the thresholds selection of key parameters in the points association (including range threshold, radial velocity threshold, and azimuth threshold) were investigated, and their influences on final association results were analyzed. 展开更多
关键词 vessel target detection SaR HFSWR aIS point association data fusion
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Point application with Angong Niuhuang sticker protects hippocampal and cortical neurons in rats with cerebral ischemia 被引量:12
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作者 Dong-shu Zhang Yuan-liang Liu +2 位作者 Dao-qi Zhu Xiao-jing Huang Chao-hua Luo 《Neural Regeneration Research》 SCIE CAS CSCD 2015年第2期286-291,共6页
Angong Niuhuang pill, a Chinese materia medica preparation, can improve neurological func-tions after acute ischemic stroke. Because of its inconvenient application and toxic components (Cinnabaris andRealgar), we u... Angong Niuhuang pill, a Chinese materia medica preparation, can improve neurological func-tions after acute ischemic stroke. Because of its inconvenient application and toxic components (Cinnabaris andRealgar), we used transdermal enhancers to deliverAngong Niuhuang pill by modern technology, which expanded the safe dose range and clinical indications. In this study, Angong Niuhuang stickers administered at different point application doses (1.35, 2.7, and 5.4 g/kg) were administered to theDazhui (DU14), Qihai(RN6) andMingmen (DU4) of rats with chronic cerebral ischemia, for 4 weeks. The Morris water maze was used to determine the learning and memory ability of rats. Hematoxylin-eosin staining and Nissl staining were used to observe neuronal damage of the cortex and hippocampal CA1 region in rats with chronic cerebral ischemia. The middle- and high-dose point application ofAngong Niuhuangstickers attenuated neuronal damage in the cortex and hippocampal CA1 region, and improved the memory of rats with chronic cerebral ischemia with an efifcacy similar to interventions by electroacupuncture at Dazhui (DU14),Qihai (RN6) andMingmen (DU4). Our experimental ifndings indicate that point application withAngong Niuhuang stickers can improve cognitive function after chronic cerebral ischemia in rats and is neuroprotective with an equivalent efifcacy to acupuncture. 展开更多
关键词 nerve regeneration cerebral ischemia point application angong Niuhuang sticker brain injury neurological functions acupuncture traditional Chinese medicine NSFC grants neural regeneration
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Expressions of apoptosis-related proteins in rats with focal cerebral ischemia after Angong Niuhuang sticker point application 被引量:6
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作者 Dongshu Zhang Maodong Fu Chenglong Song Caiyun Wang Xiaochun Lin Yuanliang Liu 《Neural Regeneration Research》 SCIE CAS CSCD 2012年第30期2347-2353,共7页
In this study, we extracted and purified components in the Angong Niuhuang pill. Then we applied transdermal enhancers to Angong Niuhuang stickers by modern technology. The Angong Niuhuang sticker includes extracts fr... In this study, we extracted and purified components in the Angong Niuhuang pill. Then we applied transdermal enhancers to Angong Niuhuang stickers by modern technology. The Angong Niuhuang sticker includes extracts from curcuma, berberine hydrochloride, baicalin, geniposide, borneol, and musk. Angong Niuhuang stickers at different point application doses (1.35, 2.7, and 5.4 g/kg) were administered to Dazhui (DU14), Qihai (RN6) and Mingmen (DU4). Rats in the different dose point application and acupuncture groups were continuously administered for 7 days. Then a middle cerebral artery occlusion model was prepared for simulating human cerebral ischemia. Twelve hours later, expressions of Bcl-2, Bax and p53 protein in hippocampal CA1 were detected with immunohistochemistry. The expression level of Bcl-2, an anti-apoptotic protein, significantly increased in the high-, medium- and low-dose point application groups and the acupuncture group, while the expression of the pro-apoptotic proteins, Bax and p53, significantly decreased compared with the middle cerebral artery occlusion rats; and the Bcl-2/Bax ratio was significantly increased. The difference was noticeable for the high-dose point application group, which showed statistical difference compared with the low-dose point application group and the acupuncture group. Our experimental findings indicate that point application with Angong Niuhuang stickers promotes the expression of Bcl-2, and inhibits the expressions of Bax and p53 in the hippocampal CA1 area of rats after focal cerebral ischemia. Thus, point application of Angong Niuhang stickers protects brain tissues from cerebral ischemia. 展开更多
关键词 cerebral ischemia point application aCUPUNCTURE angong Niuhuang sticker Bcl-2 p53 BaX apoptosis brain injury neural regeneration
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PROXIMAL POINT ALGORITHM WITH ERRORS FOR GENERALIZED STRONGLY NONLINEARQUASIVARIATIONAL INCLUSIONS 被引量:1
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作者 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1998年第7期637-643,共7页
In this paper, a class of generalized strongly nonlinear quasivariational inclusions are studied. By using the properties of the resolvent operator associated with a maximal monotone; mapping in Hilbert space, an exis... In this paper, a class of generalized strongly nonlinear quasivariational inclusions are studied. By using the properties of the resolvent operator associated with a maximal monotone; mapping in Hilbert space, an existence theorem of solutions for generalized strongly nonlinear quasivariational inclusion is established and a new proximal point algorithm with errors is suggested for finding approximate solutions which strongly converge to the exact solution of the generalized strongly, nonlinear quasivariational inclusion. As special cases, some known results in this field are also discussed. 展开更多
关键词 generalized strongly nonlinear quasivariational inclusion proximal point algorithm with errors
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DYNAMIC MODEL OF POINT ANDAREA WEAPON AND ITS PARAMETER OPTIMIZATION
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作者 徐万和 张越 王裕安 《兵工学报》 EI CAS CSCD 北大核心 2000年第1期-,共3页
提出了一种适于手持式面杀伤组合武器结构的分析计算模型,建立了相应的动力学方程。采用正交优化设计方法,分析了模型中主要物理参数及结构参数的变化对系统动力学特性的影响,为用该结构模型设计新型点面杀伤组合武器提供了理论依据。
关键词 枪械 参数分析 计算机模拟 DYNaMIC MODEL OF point aND
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Maximizing the Absorbed Power of A Point Absorber Using An FA-Based Optimized Model Predictive Control
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作者 Negar RAHIMI Reihaneh Kardehi MOGHADDAM 《China Ocean Engineering》 SCIE EI CSCD 2018年第6期696-705,共10页
This paper presents an extended model predictive controller for maximizing the absorbed power of a point absorber wave energy converter. Owing to the great influence of controller parameters upon the absorbed power, t... This paper presents an extended model predictive controller for maximizing the absorbed power of a point absorber wave energy converter. Owing to the great influence of controller parameters upon the absorbed power, the optimization of these parameters is carried out for the first time by a firefly algorithm(FA). Error, the difference between output velocity of buoy and input wave speed which leads to power maximization in the optimized MPC is compared with the classical MPC. Simulation results indicate that given the high accuracy and acceptable speed of the algorithm, it can adjust the parameters of the controller to the point where system error decreased effectively and the absorbed energy increased about 4 MW. 展开更多
关键词 wave energy point absorber predictive controller firefly algorithm
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MODIFIED APPROXIMATE PROXIMAL POINT ALGORITHMS FOR FINDING ROOTS OF MAXIMAL MONOTONE OPERATORS
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作者 曾六川 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2004年第3期293-301,共9页
In order to find roots of maximal monotone operators, this paper introduces and studies the modified approximate proximal point algorithm with an error sequence {e k} such that || ek || \leqslant hk || xk - [(x)\tilde... In order to find roots of maximal monotone operators, this paper introduces and studies the modified approximate proximal point algorithm with an error sequence {e k} such that || ek || \leqslant hk || xk - [(x)\tilde]k ||\left\| { e^k } \right\| \leqslant \eta _k \left\| { x^k - \tilde x^k } \right\| with ?k = 0¥ ( hk - 1 ) < + ¥\sum\limits_{k = 0}^\infty {\left( {\eta _k - 1} \right)} and infk \geqslant 0 hk = m\geqslant 1\mathop {\inf }\limits_{k \geqslant 0} \eta _k = \mu \geqslant 1 . Here, the restrictions on {η k} are very different from the ones on {η k}, given by He et al (Science in China Ser. A, 2002, 32 (11): 1026–1032.) that supk \geqslant 0 hk = v < 1\mathop {\sup }\limits_{k \geqslant 0} \eta _k = v . Moreover, the characteristic conditions of the convergence of the modified approximate proximal point algorithm are presented by virtue of the new technique very different from the ones given by He et al. 展开更多
关键词 modified approximate proximal point algorithm maximal monotone operator CONVERGENCE
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Analysis of feasibility of application of Beishu point acupressure therapy in treating gastroesophageal reflux disease via AMPK / ULK1 mediated autophagy pathway based on "adjusting central axis via pivot" theory
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作者 Yu Zhang Mei-Zhen Huang +4 位作者 Chun-Qu Pan Hong-Wu Liu Yong-Xiang Lu Jin-Jing Tan Sheng Xie 《Journal of Hainan Medical University》 2021年第21期60-64,共5页
Gastroesophageal reflux disease(GERD)is a digestive system disease characterized by uncomfortable symptoms caused by reflux of gastric contents.It has increased sharply with the development of my country’s society an... Gastroesophageal reflux disease(GERD)is a digestive system disease characterized by uncomfortable symptoms caused by reflux of gastric contents.It has increased sharply with the development of my country’s society and economy.If there is no reasonable and effective Prevention and treatment measures will inevitably increase the financial burden of patients,and also pose a major threat to the quality of life and health of patients.Cell signal transduction mediated by various receptors participates in the regulation mechanism of the body's various levels of biological functions.By inhibiting or activating its functions,the purpose of curing diseases can be achieved,and cell signal transduction has been used in traditional Chinese medicine.Studying.The theory of"adjusting the central axis"was explored by Professor Xie Sheng through decades of clinical experience.It has been proven in practice to treat GERD.It starts from the model of TCM viscera and expounds that the pathogenesis of GERD involves multiple viscera.Multi-system and multi-factor,explain the correlation of the disease with a variety of zang-fu syndromes,and use this as a basis to guide the clinical use of hidden prescriptions.The back-shu pointer therapy can prevent GERD by correcting the unbalanced state of the viscera and qi machine,and promoting the junction of the two channels of Ren and Du.Based on the theory of"adjusting the hub by the pivot",this article expounds the pathogenesis of GERD from the perspective of traditional Chinese medicine.By consulting the literature and combining with the previous research,it proposes to analyze the methods and methods of Backshu pointer therapy to prevent and treat GERD from the AMPK/ULK1 mediated autophagy pathway. 展开更多
关键词 adjusting the central axis via pivot Gastroesophageal reflux disease aMPK/ULK1 autophagy pathway Backshu point acupressure therapy
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Three-dimensional analysis of pedicle screw channel,screw entry point and lateral surface of cervical vertebral body
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作者 李严兵 《外科研究与新技术》 2011年第2期81-81,共1页
Objective To explore three-dimensional relations of pedicle screw channel (PSC) ,screw entry point and lateral surface of cervical vertebral body by digital techniques. Methods CT scan images of cervical
关键词 LINE Three-dimensional analysis of pedicle screw channel screw entry point and lateral surface of cervical vertebral body
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Study on Supercooling Point and Freezing Point in Floral Organs of Apricot 被引量:15
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作者 MENG Qing-rui LIANG Yin-quan WANG Wen-feng DU Shao-hua LI Yan-hui YANG Jian-min 《Agricultural Sciences in China》 CAS CSCD 2007年第11期1330-1335,共6页
Under the environment of an artificial climate chamber, supercooling point (SCP) and freezing point (FP) in flower and young fruit at different development stages and freezing injuries of floral organs were studie... Under the environment of an artificial climate chamber, supercooling point (SCP) and freezing point (FP) in flower and young fruit at different development stages and freezing injuries of floral organs were studied. The apricot cultivars tested were Kety, Golden Sun and Honghebao. With the development of flower buds, SCP and FP increased, which indicated that their cold resistance decreased. SCP and FP varied with different floral organs. For different apricot cultivars, it was found that, the lower SCP or FP in floral organs was, the more resistant capacity the cultivar had, and the larger the temperature interval from SCP to FP was. SCP was not a constant value, but a range. Frequency distribution of SCP in petals was more dispersing than that in stamens and pistils. Floral organs could maintain a supercooling state to avoid ice formation, but they were sensitive to freezing. Once floral organs froze, thev turned brown after thawing. 展开更多
关键词 aPRICOT floral organs supercooling point freezing point FROST
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Acupuncture at the “Huatuojiaji” point affects nerve root regional interleukin-1 level in a rat model of lumbar nerve root compression 被引量:7
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作者 Yaochi Wu Junfeng Zhang Chongmiao Wang Yanyan Xie Jinghui Zhou 《Neural Regeneration Research》 SCIE CAS CSCD 2008年第8期881-884,共4页
BACKGROUND:It has been shown that interleukin-1 (IL-1) may cause inflammatory reactions, which stimulate the nerve root of patients with lumbar intervertebral disc protrusion and leads to pain. Whether the clinical... BACKGROUND:It has been shown that interleukin-1 (IL-1) may cause inflammatory reactions, which stimulate the nerve root of patients with lumbar intervertebral disc protrusion and leads to pain. Whether the clinical curative effects of acupuncture in the treatment of lumbar and leg pain are linked to an inhibition of local IL-1 secretion is unknown. OBJECTIVE: To assess the influence of acupuncture on IL-1, this study was designed to verify the effects of acupuncture at the "Huatuojiaji (Extra)" point on the nerve root in a rat model of lumbar nerve root compression, compared with administration of meloxicam, a non-steroidal anti-inflammatory drug. DESIGN, TIME AND SETTING: Randomized, controlled, molecular biology experiment, performed at the Experimental Center, Sixth People’s Hospital Affiliated to Shanghai Jiao Tong University between September 2005 and April 2006. MATERIALS: Forty healthy adult Sprague Dawley rats of either gender were included in this study. The rats were randomly and evenly divided into the following four groups: normal control, model, acupuncture and meloxicam groups. Lumbar nerve root compression was induced in rats in the model, acupuncture, and meloxicam groups by inserting a specially made silicon rubber slice at the juncture of the L5 nerve root and the dural sac. The acupuncture needle (pattern number N3030, 30#, 1.5 inch) was purchased from Suzhou Medical Appliance Factory, China. IL-1 enzyme linked immunosorbent assay (ELISA) kit was purchased from Santa Cruz Biotechnology, Inc., USA. METHODS: The acupuncture group was acupunctured at the "Huatuojiaji" point, which is lateral to the compressed L5-6 nerve root, with an acupuncture depth of 0.5 cm. There were two treatment courses, each of involved seven 20-minute acupuncture sessions, one session a day. The meloxicam group was administered intragastrically 3.75 mg/kg meloxicam (5 mg meloxicam /10 mL physiological saline). Rats in the normal control group and model group received an intragastric administration of 10 mL/kg physiological saline. All administrations were performed once a day. MAIN OUTCOME MEASURES: At day 14 post-surgery, the IL-1 level in the compressed nerve root was determined by a streptavidin-peroxidase (S-P) immunohistochemical method, and IL-1β mRNA expression in the compressed nerve root was simultaneously detected by real-time reverse transcription-polymerase chain reaction. RESULTS: The expression levels of IL-1 and IL-1β mRNA in the L5 nerve root were significantly higher in the model group than in the control group (P 〈 0.01). However, the expression levels of IL-1 and IL-1β mRNA were significantly lower in the acupuncture and meloxicam groups than in the model group (P 〈 0.05–0.01). Expression levels of IL-1 and IL-1β mRNA were significantly higher in the acupuncture group than in the meloxicam group (P 〈 0.01). CONCLUSION: Acupuncture at the "Huatuojiaji" point decreases the IL-1 level by inhibiting IL-1β mRNA expression to a greater extent than meloxicam administration. 展开更多
关键词 aCUPUNCTURE INTERLEUKIN-1 "Huatuojiaji" point lumbar nerve root compression models animal
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A Correntropy-based Affine Iterative Closest Point Algorithm for Robust Point Set Registration 被引量:3
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作者 Hongchen Chen Xie Zhang +2 位作者 Shaoyi Du Zongze Wu Nanning Zheng 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2019年第4期981-991,共11页
The iterative closest point(ICP)algorithm has the advantages of high accuracy and fast speed for point set registration,but it performs poorly when the point set has a large number of noisy outliers.To solve this prob... The iterative closest point(ICP)algorithm has the advantages of high accuracy and fast speed for point set registration,but it performs poorly when the point set has a large number of noisy outliers.To solve this problem,we propose a new affine registration algorithm based on correntropy which works well in the affine registration of point sets with outliers.Firstly,we substitute the traditional measure of least squares with a maximum correntropy criterion to build a new registration model,which can avoid the influence of outliers.To maximize the objective function,we then propose a robust affine ICP algorithm.At each iteration of this new algorithm,we set up the index mapping of two point sets according to the known transformation,and then compute the closed-form solution of the new transformation according to the known index mapping.Similar to the traditional ICP algorithm,our algorithm converges to a local maximum monotonously for any given initial value.Finally,the robustness and high efficiency of affine ICP algorithm based on correntropy are demonstrated by 2D and 3D point set registration experiments. 展开更多
关键词 aFFINE ITERaTIVE closest point(ICP)algorithm correntropy-based ROBUST point set REGISTRaTION
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A FIXED POINT APPROACH TO THE STABILITY OF A GENERALIZED APOLLONIUS TYPE QUADRATIC FUNCTIONAL EQUATION 被引量:2
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作者 王志华 《Acta Mathematica Scientia》 SCIE CSCD 2011年第4期1553-1560,共8页
Using the fixed point method, this article proves the Hyers-Ulam-Rassias stability of a generalized Apollonius type quadratic functional equation in Banach spaces. The conditions of these results are demonstrated by t... Using the fixed point method, this article proves the Hyers-Ulam-Rassias stability of a generalized Apollonius type quadratic functional equation in Banach spaces. The conditions of these results are demonstrated by the quadratic functional equation of Apollonius type. 展开更多
关键词 fixed point fixed point method Hyers-Ulam-Rassias stability quadratic mapping of apollonius type
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Viscosity method for hierarchical fixed point and variational inequalities with applications 被引量:1
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作者 张石生 王雄瑞 +1 位作者 H.W.J.LEE 陈志坚 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第2期241-250,共10页
A viscosity method for a hierarchical fixed point solving variational inequality problems is presented. The method is used to solve variational inequalities, where the involved mappings are non-expansive. Solutions ar... A viscosity method for a hierarchical fixed point solving variational inequality problems is presented. The method is used to solve variational inequalities, where the involved mappings are non-expansive. Solutions are sought in the set of the fixed points of another non-expansive mapping. As applications, we use the results to study problems of the monotone variational inequality, the convex programming, the hierarchical minimization, and the quadratic minimization over fixed point sets. 展开更多
关键词 hierarchical fixed point non-expansive mapping fixed point viscosity approximation hierarchical minimization
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SOME RESULTS ON CONTINUOUS TYPE CONDITIONAL INPUT-OUTPUT EQUATION-FIXED POINT AND SURJECTIVITY METHODS 被引量:1
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作者 刘颖范 陈晓红 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第3期358-366,共9页
Based on the classical(matrix type)input-output analysis,a type of nonlinear (continuous type) conditional Leontief model,input-output equation were introduced,as well as three corresponding questions,namely,solvabili... Based on the classical(matrix type)input-output analysis,a type of nonlinear (continuous type) conditional Leontief model,input-output equation were introduced,as well as three corresponding questions,namely,solvability,continuity and surjectivity,and some fixed point and surjectivity methods in nonlinear analysis were used to deal with these questions. As a result,the main theorems are obtained,which provide some sufficient criterions to solve above questions described by the boundary properties of the enterprises consuming operator. 展开更多
关键词 input-output equation SOLVaBILITY continuity SURJECTIVITY fixed point upper semi-continuous upper hemi-continuous nonlinear analysis
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Penalized interior point approach for constrained nonlinear programming 被引量:1
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作者 陆文婷 姚奕荣 张连生 《Journal of Shanghai University(English Edition)》 CAS 2009年第3期248-254,共7页
A penalized interior point approach for constrained nonlinear programming is examined in this work. To overcome the difficulty of initialization for the interior point method, a problem equivalent to the primal proble... A penalized interior point approach for constrained nonlinear programming is examined in this work. To overcome the difficulty of initialization for the interior point method, a problem equivalent to the primal problem via incorporating an auxiliary variable is constructed. A combined approach of logarithm barrier and quadratic penalty function is proposed to solve the problem. Based on Newton's method, the global convergence of interior point and line search algorithm is proven. Only a finite number of iterations is required to reach an approximate optimal solution. Numerical tests are given to show the effectiveness of the method. 展开更多
关键词 nonlinear programming interior point method barrier penalty function global convergence
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