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The Products of Three Theta Functions and the General Cubic Theta Functions

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Acta Mathematica Sinica,English Series 2010年第6期26卷 1115-1124页

作者： xiao mei YANG Department of Mathematics East China Normal University Shanghai 200241 P. R. China

In this paper we establish two theta function identities with four parameters by the theory of theta functions. Using these identities we introduce common generalizations of Hirschhorn-Garvan-Borwein cubic theta functions, and also re-derive the quintuple product identity, one of Ramanujan＇s identities, Winquist＇s identity and many other interesting identities.

关键词： Jacobi theta function quintuple product identity Winquist's identity Ramanujan identity

Investigation of influence factors on CO_(2) flowback characteristics and optimization of flowback parameters during CO_(2) dry fracturing in tight gas reservoirs

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Petroleum Science 2023年第6期20卷 3553-3566页

作者： xiao-mei Zhou Lei Li yong-Quan Sun Ran Liu Ying-Chun Guo yong-Mao Hao Yu-Liang Su National Key Laboratory of Deep Oil and Gas China University of Petroleum(East China)Qingdao266580ShandongChina School of Petroleum Engineering China University of Petroleum(East China)Qingdao266580ShandongChina Shengli Oil Field Dongsheng Jinggong Petroleum Development(GROUP)Stock Co. Ltd.Dongying257000ShandongChina Exploration and Development Research Institute of Shengli Oilfield Company SinopecDongying257000ShandongChina

CO_(2) dry fracturing is a promising alternative method to water fracturing in tight gas reservoirs,especially in water-scarce areas such as the Loess *** CO_(2) flowback efficiency is a critical factor that affects the final gas production ***,there have been few studies focusing on the flowback characteristics after CO_(2) dry *** this study,an extensive core-to-field scale study was conducted to investigate CO_(2) flowback characteristics and CH_(4) production ***,to investigate the impact of core properties and production conditions on CO_(2) flowback,a series of laboratory experiments at the core scale were ***,the key factors affecting the flowback were analyzed using the grey correlation method based on field ***,taking the construction parameters of Well S60 as an example,a dual-permeability model was used to characterize the different seepage fields in the matrix and fracture for tight gas *** production parameters after CO_(2) dry fracturing were then *** results demonstrate that CO_(2) dry fracturing is more effective than slickwater fracturing,with a 9.2%increase in CH_(4) *** increase in core permeability plays a positive role in improving CH_(4) production and CO_(2) *** soaking process is mainly affected by CO_(2) diffusion,and the soaking time should be controlled within 12 *** the flowback pressure gradient results in a significant increase in both CH_(4) recovery and CO_(2) flowback ***,an increase in CO_(2) injection is not conducive to CH_(4) production and CO_(2) *** on the experimental and field data,the important factors affecting flowback and production were comprehensively and effectively *** results show that permeability is the most important factor,followed by porosity and effective *** flowback efficiency and the influence of proppant reflux,the injection volume should

关键词： CO_(2)fracturing Tight gas reservoir Fracturing fluid flowback Parameter optimization

Gene expression profile analyses of mice livers injured by Leigongteng

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World Journal of Gastroenterology 2007年第26期13卷 3619-3624页

作者： yong Chen, xiao-Ming Zhang Feng-mei Han Peng Du Qi-Song Xia Hubei Provincial Key Laboratory of Traditional Chinese Medicine & Biotechnology School of Life Science Hubei University Wuhan 430062 Hubei Province China

AIM： To analyze the gene expression profiles of mice livers injured by Leigongteng and explore the relationship between the differentially expressed genes and liver damage. METHODS： The experimental mice were randomly divided into a control group and a liver-injured group in which the mice were administrated 33 μγ, of triptolide/ kg per day for 30 d. Liver mRNAs were extracted from animals in both groups and were reverse-transcribed to cDNA with dUTP labeled by different fluorescence （Cy3, Cy5） as hybridization probes. The mixed probes were hybridized with oligonucleotide microarray chips. The fluorescent signal results were acquired by scanner and analyzed with software. RESULTS： Among the 35852 target genes, 29 genes were found to be significantly differentially expressed, with 20 genes up-regulated and 9 genes down-regulated. The reliability of the differentially expressed genes was validated by RT-PCR experiments of 5 randomly selected differentially expressed genes. CONCLUSION： Based on the biological functions of the differentially expressed genes, it is obvious that the occurrence and development of liver damage induced by Leigongteng in mice are highly associated with immune response, metabolism, apoptosis and the cell skeleton of liver cells. This might be important for elucidating the regulatory network of gene expression associated with liver damage and it may also be important for discovering the pathogenic mechanisms of liver damage induced by Leigongteng.

关键词： Tripterygium Wilfordii Hook.f. Gene expre-ssion profile Oligonucleotide microarray Mice

Linear Dynamic Viscoelastic Response of Melts for Crosslinkable Polyethylene Insulation Cable Granules During Cross-linking

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Chemical Research in Chinese Universities 2010年第1期26卷 142-147页

作者： YANG Hong-mei YANG yong-zhu HE xiao ZHENG Qiang ZHOU Hou-qiang Department of Polymer Science and Engineering Key Laboratory of Macromolecular Synthesis and Functionalization Ministry of Education Zhejiang University Hangzhou 310027 P. R. China Ningbo Dongfang Cable Ltd. Ningbo 315040 R R. China

Two commercial crosslinkable polyethylene insulation cable granules, designed for 110 and 35 kV voltage insulation, with similar crosslinking temperature but different melting temperature, were chosen as experimental samples for examining their linear dynamic responses during cross-linking. It has been found that the gel contents of cable compounds for 110 and 35 kV insulation are almost the same after they have been cross-linked at the same temperature, pressure and time. And the sample melts show the similar dependence of the dynamic storage modulus, G; on strain. On the other hand, the dynamic temperature ramp test and the dynamic time sweep test indicate that the samples exhibit different dynamic viscoelastic responses during their crosslinking. An expression for describing their erosslinking process was proposed via probing rheokinetics of crosslinking for the two samples.

关键词： XLPE Insulation cable Crosslinking Rheological behavior

Effects of endogenous nitric oxide induced by 5-fluorouracil and L-Arg on liver carcinoma in nude mice

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World Journal of Gastroenterology 2007年第46期13卷 6249-6253页

作者： xiao-Yan Yin Jun-mei Jiang Ji-yong Liu Ju-Ren Zhu Endoscopy Center Affilated Hospital of MedicalCollege Qingdao University Qingdao 266003 ShandongProvince China Department ofGastroenterology Shandong Provincial Hospital Jinan 250021Shandong Province China

AIM： To study the effects of endogeous nitric oxide induced by 5-fluorouracil （5-FU） and L-arginine （L-Arg） on the human liver carcinoma model in nude mice. METHODS： The human liver carcinoma model in nude mice was established with BEL-7402 cells and normal saline （NS）, 5-FU and 5-FU ＋ L-Arg injected intraperitoneally. The tumor size was measured. The necrotic degree and range were observed under microscope. The apoptosis of cancer cell was detected by turmina deoxynucleotidyl transferanse mediated dUTP nick end labeling （TUNEL） method. Immunohistochemical method was performed to determine the expression of iNOS, P16, BAX. The chemical colorimetry was used to test the activity and nitrate reductase method was adopted to test the concentration of nitric oxide （NO） in the tumor tissue. The BI2000 pathological image analyzer was used to analyze the result of immunohistochemistry. RESULTS： 5-FU combined with L-Arg could inhibit the tumor growth apparently. In NS, 5-FU and 5-FU＋L- Arg groups, the changes of tumor volumes were 257.978 ± 59.0, 172.232 ± 66.0 and 91.523 ± 26.7 mm3, respectively （P 〈 0.05 5-FU vs 5-FU ± L-Arg group;P 〈 0.05 NS ys 5-FU ± L-Arg group; P 〈 0.05, NS ys 5-FU group）. The necrotic range and apoptosis index were significantly increased after the drug injection. The necrotic range was biggest in 5-FU ＋ L-Arg group （X^2= 15.963, P 〈 0.05）. The apoptosis indexes were as follows： NS, 17.4% ± 6.19%; 5-FU, 31.3% ± 12.3%; and 5-FU ± L-Arg, 46% ± 15.24% （P 〈 0.05, 5-FU ys 5-FU ± L-Arg; P 〈 0.05, NS ys 5-FU ± L-Arg; P 〈 0.05, NS ys 5-FU）. The expression and activity of iNOS were increased in the tumor tissue. The concentration of NO was also increased. F of opticaldensity of iNOS, iNOS activity and NO concentration are 31.693, 21.949, and 33.909, respectively, P 〈 0.05. The concentration of NO was related to the expression of PI6 and BAX. The correlation coefficient was 0.764 and 0.554. CONCLUSION： 5-FU combined with L-Arg can inhibit the growth of tumor in

关键词： 5-Fluorouracil L-Arginine Animal model Nitric oxide synthase Nitric oxide

An overview on integrated localization and communication towards 6G

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Science China(Information Sciences) 2022年第3期65卷 5-50页

作者： Zhiqiang xiao yong ZENG National Mobile Communications Research Laboratory Southeast University Purple Mountain Laboratories

While the fifth generation(5 G) cellular system is being deployed worldwide, researchers have started the investigation of the sixth generation(6 G) mobile communication networks. Although the essential requirements and key usage scenarios of 6 G are yet to be defined, it is believed that 6 G should be able to provide intelligent and ubiquitous wireless connectivity with Terabits per second(Tbps) data rate and submillisecond(sub-ms) latency over three-dimensional(3 D) network coverage. To achieve such goals, acquiring accurate location information of the mobile terminals is becoming extremely useful, not only for locationbased services but also for improving wireless communication performance in various ways such as channel estimation, beam alignment, medium access control, routing, and network optimization. On the other hand, the advancement of communication technologies also brings new opportunities to greatly improve the localization performance, as exemplified by the anticipated centimeter-level localization accuracy in 6 G by extremely large-scale multiple-input multiple-output(MIMO) and millimeter wave(mm Wave) *** this regard, a unified study on integrated localization and communication(ILAC) is necessary to unlock the full potential of wireless networks for dual purposes. While there are extensive studies on wireless localization or communications separately, the research on ILAC is still in its infancy. Therefore, this article aims to give a tutorial overview on ILAC towards 6 G wireless networks. After a holistic survey on wireless localization basics, we present the state-of-the-art results on how wireless localization and communication inter-play with each other in various network layers, together with the main architectures and techniques for localization and communication co-design in current two-dimensional(2 D) and future 3 D networks with aerial-ground integration. Finally, we outline some promising future research directions for ILAC.

关键词： wireless localization integrated localization and communication cellular networks B5G 6G

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Tanshinone ⅡA improves functional recovery in spinal cord injury-induced lower urinary tract dysfunction

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Neural Regeneration Research 2017年第2期12卷 267-275页

作者： yong-dong Yang Xing Yu Xiu-mei Wang xiao-hong Mu Feng He Department of Orthopedics Dongzhimen Hospital Beijing University of Chinese Medicine School of Materials Science and Engineering Tsinghua University

Tanshinone ⅡA, extracted from Salvia miltiorrhiza Bunge, exerts neuroprotective effects through its anti-inflammatory, anti-oxidative and anti-apoptotic properties. This study intravenously injected tanshinone ⅡA 20 mg/kg into rat models of spinal cord injury for 7 consecutive days. Results showed that tanshinone ⅡA could reduce the inflammation, edema as well as compensatory thickening of the bladder tissue, improve urodynamic parameters, attenuate secondary injury, and promote spinal cord regeneration. The number of hypertrophic and apoptotic dorsal root ganglion（L6–S1） cells was less after treatment with tanshinone ⅡA. The effects of tanshinone ⅡA were similar to intravenous injection of 30 mg/kg methylprednisolone. These findings suggested that tanshinone ⅡA improved functional recovery after spinal cord injury-induced lower urinary tract dysfunction by remodeling the spinal pathway involved in lower urinary tract control.

关键词： nerve regeneration spinal cord injury tanshinone IIA spinal pathway lower urinary tract dysfunction neurogenic bladder dorsal root ganglion detrusor-sphincter dyssynergia urodynamics neural regeneration

Long-term adaptive evolution of Shewanella oneidensis MR-1 for establishment of high concentration Cr(Ⅵ) tolerance

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Frontiers of Environmental Science & Engineering 2020年第1期14卷 65-75页

作者： yong xiao Changye xiao Feng Zhao CAS Key Laboratory of Urban Pollutant Conversion Institute of Urban EnvironmentChinese Academy of SciencesXiamen 361021China University of Chinese Academy of Sciences Beijing 100049China

Acclimation is the main method to enhance the productivity of microorganisms in environmental biotechnology,but it remains uncertain how microorganisms acquire resistance to high concentrations of pollutants during long-term *** oneidensis MR-1 was acclimated for 120 days with increasing hexavalent chromium(Cr(VI))concentrations from 10 to 190 mg/*** bacterium was able to survive from the highly toxic Cr(VI)environment due to its enhanced capability to reduce Cr(VI)and the increased cell membrane *** sequenced 19 complete genomes from 7 populations of MR-1,including the ancestral strain,the evolved strains in Cr(VI)environment on days 40,80 and 120 and their corresponding controls.A total of 27,49 and 90 single nucleotide polymorphisms were found in the Cr(VI)-evolved populations on days 40,80 and 120,*** substitutions were clustered according to gene functions,and the gene mutations related to integral components of the membrane,including efflux pumps and transporters,were the key determinants of chromate *** addition,MR-1 strengthened the detoxification of Cr(VI)through gene variations involved in adenosine triphosphate binding,electron carrier activity,signal transduction and DNA *** results provide an in-depth analysis of how Cr(VI)resistance of *** MR-1 is improved by acclimation,as well as a genetic understanding of the impact of longterm exposure of microorganisms to pollution.

关键词： Environmental biotechnology Acclimation Chromate resistance Efflux pumps Detoxification

Revealing sodium storage mechanism of hard carbon anodes through in-situ investigation of mechano-electrochemical coupling behavior

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Journal of Energy Chemistry 2023年第11期86卷 227-236,I0006页

作者： mei Yang Zhenya Luo xiao Wang Xinxin Cao Weiguo Mao yong Pan Cuiying Dai Junan Pan College of Materials Science and Engineering Xiangtan UniversityXiangtan 411105HunanChina College of Materials Science and Engineering Zhejiang UniversityHangzhou 310058ZhejiangChina College of Materials Science and Engineering Central South UniversityChangsha 410083HunanChina College of Materials Science and Engineering Changsha University of Science&TechnologyChangsha 410076HunanChina

Hard carbon(HC)is considered a promising anode material for sodium-ion batteries due to its relatively low price and high specific ***,HC still suffers from unclear reaction mechanisms and unsatisfactory cycling *** study of mechano-electrochemical coupling behavior by in-situ measurement techniques is expected to understand the sodium storage and degradation *** this paper,the strain and stress evolution of HC anodes at different sodiation/desodiation depths and cycles are investigated by combining electrochemical methods,digital image correlation,and theoretical *** observation by monitoring the in-situ strain evolution during the redox process supports the“adsorption-intercalation/filling”mechanism in reduction and the“de-filling/de-intercalation-deso rption”mechanism in *** studies have demonstrated that the strain and stress of the electrode show periodic changes accompanied by a continuous accumulation of residual stress during cycles,explaining the capacity degradation mechanism of HC from a mechanical *** addition,when the higher current density is applied,the electrodes experience greater strain and stress associated with the Na+insertion *** work clarifies the Na-storage mechanism and the mechano-electrochemical coupling mechanism of HC anodes by in-situ strain measurement,which helps optimize and design the anode materials of sodium-ion batteries from the perspective of interface microstructure and multi-field coupling,such as in situ integrated interface structure design.

关键词： Hard carbon Sodium storage In-situ strain measurement Digital image correlation Mechano-electrochemical coupling