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Bounding the sum of powers of the Laplacian eigenvaluesof graphs

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Applied Mathematics(A Journal of Chinese Universities) 2011年第2期26卷 142-150页

作者： CHEN xiao-dan QIAN jian-guo School of Mathematical Sciences Xiamen University Xiamen 361005 Fujian P.R. China

For a non-zero real number α, let sα（G） denote the sum of the αth power of thenon-zero Laplacian eigenvalues of a graph G. In this paper, we establish a connection betweensα（G） and the first Zagreb index in which the H¨older’s inequality plays a key role. By usingthis result, we present a lot of bounds of sα（G） for a connected （molecular） graph G in terms ofits number of vertices （atoms） and edges （bonds）. We also present other two bounds for sα（G）in terms of connectivity and chromatic number respectively, which generalize those results ofZhou and Trinajsti′c for the Kirchho？ index [B Zhou, N Trinajsti′c. A note on Kirchho？ index,Chem. Phys. Lett., 2008, 455： 120-123].

关键词： Laplacian eigenvalues the first Zagreb index Kirchhoff index connectivity chromatic number.

Effect of Bak Foong Pills on the expression of β-amyloid in rat retina with optic nerve transection

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International Journal of Ophthalmology(English edition) 2011年第1期4卷 58-61页

作者： Tan-Tai Zhao, xiao-jian guo Department of Ophthalmology the Second Xiangya Hospital Central South University Changsha 410011 Hunan Province China Department of Ophthalmology the Second People's Hospital of Yunnan Province Kunming 650021 Yunnan Province China

AIM:To investigate the effect of Bak Foong Pills(BFP) on the expression of β-amyloid(Aβ) in rats retina with optic nerve transaction,and its roles and possible mechanisms in protecting optic nerve damage.· METHODS:Seventy-two healthy,Sprague-Dawley,adult rats were randomly assigned to three groups:negative control group(control group),optic nerve transection group(model group) and BFP treatment group(BFP group,100μg/mL) followed by establishing optic nerve transection *** expression of Aβ was measured at 48 hours by ***,the expressions of Bcl-2,Bax and Caspase-3 mRNA were evaluated at 48 hours by reverse transcriptase polymerase chain reaction(RT-PCR).RESULTS:There were significant differences among the control,model and BFP groups in the expression of Aβ(all P <0.01).Aβ expression was significantly higher in the model and BFP groups than that in the control group(P < 0.01),with a more significant reduction in the BFP group than that in the model group(P <0.01).Moreover,there were also significant differences among the three groups in the expressions of Bcl-2/Bax(Bcl-2:anti-apoptotic;Bax:proapoptotic) and Caspase-3 mRNA(proapoptotic)(all P<0.01).Bcl-2/Bax ratio was significantly lower and Caspase-3 mRNA expression was significantly higher in the model and BFP groups than those in the control group(P <0.01),with a significant growing of Bcl-2/Bax and reduction of Caspase-3 in the BFP group than those in the model group(P<0.01).· CONCLUSION:BFP can down-regulate Aβ expression in retina and may inhibit apoptosis and protect optic nerve by enhancing Bcl-2/Bax ratio and inhibiting Caspase-3 pathway.

关键词： Bak Foong Pills optic nerve damage β-amyloid protein Bcl-2/Bax Caspase-3 mRNA

Physical neural networks with self-learning capabilities

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Science China(Physics,Mechanics & Astronomy) 2024年第8期67卷 23-42页

作者： Weichao Yu Hangwen guo jiang xiao jian Shen State Key Laboratory of Surface Physics and Institute for Nanoelectronic Devices and Quantum Computing Fudan UniversityShanghai 200433China Zhangjiang Fudan International Innovation Center Fudan UniversityShanghai 201210China Department of Physics Fudan UniversityShanghai 200433China Shanghai Research Center for Quantum Sciences Shanghai 201315China Collaborative Innovation Center of Advanced Microstructures Nanjing 210093China

Physical neural networks are artificial neural networks that mimic synapses and neurons using physical systems or *** networks harness the distinctive characteristics of physical systems to carry out computations effectively,potentially surpassing the constraints of conventional digital neural networks.A recent advancement known as“physical self-learning”aims to achieve learning through intrinsic physical processes rather than relying on external *** article offers a comprehensive review of the progress made in implementing physical self-learning across various physical *** learning strategies that contribute to the realization of physical self-learning are *** challenges in understanding the fundamental mechanism of learning,this work highlights the progress towards constructing intelligent hardware from the ground up,incorporating embedded self-organizing and self-adaptive dynamics in physical systems.

关键词： self-learning physical neural networks neuromorphic computing physical learning

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Episcleral macular buckling for posterior retinal detachment in silicone oil filled eyes associated with myopic macular hole

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International Journal of Ophthalmology(English edition) 2013年第2期6卷 165-168页

作者： Jiao Tian Luo-Sheng Tang xiao-jian guo Yong-Heng Luo Department of Ophthalmology and Eye Disease Research Centre the Second Xiangya Hospital Central South University

AIM: To evaluate anatomical and visual outcomes of episcleral macular buckling (EMB) for posterior retinal detachment in silicone oil filled eyes associated with myopic macular ***: Five cases of EMB for initial failure of retinal reattachment after internal limiting membrane (ILM) peeling and silicone oil tamponade caused by myopic macular hole were retrospectively reviewed. A silicone sponge sutured directly across the macular region was performed on the silicone oil filled eyes. Silicone oil was removed no sooner than 1 month post- EMB. The duration of follow -up time after removal of silicone oil was more than 3 ***: Retinas of five eyes were all reattached at the last follow-up. The postoperative vision ranged from counting fingers to ***: Anatomical results improved after EBM for posterior retinal detachment in silicone oil filled eyes associated with myopic macular hole, which was not evident for visual outcome.

关键词： episcleral macular buckling myopia macular hole retinal detachment silicone oil tamponade

Clinical and Magnetic Resonance Imaging Results of Arthroscopic Repair of Intratendinous Partial-thickness Rotator Cuff Tears

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Chinese Medical Journal 2015年第11期128卷 1496-1501页

作者： jian xiao guo-Qing Cui Institute of Sports Medicine Peking University Third Hospital Beijing 100191 China

Background： Partial-thickness rotator cufftears （PTRCTs） are being diagnosed more often because of high-resolution magnetic resonance imaging （MRI）. Compared with articular and bursal side tears, there have been few studies about evaluating the clinical and structural outcomes after intratendinous tear repair. Methods： From 2008 to 2012, 33 consecutive patients with intratendinous PTRCTs underwent arthroscopic repair. All of them were retrospectively evaluated. The University of California at Los Angeles （UCLA） and constant scores were evaluated before operation and at the final follow-up. Postoperative cuff integrity was determined using MRI according to Sugaya＇s classification. Results： At the 2-year follow-up, the average UCLA score increased from 16.7± 1.9 to 32.5± 3,5, and the constant score increased from 66.2 ± 10.5 to 92.4 ± 6.9 （P 〈 0.001）. Twenty seven patients received follow-up MRI examinations at an average of 15.2 months after surgery. Of these 27 patients, 22 （81.5%） had a healed tendon, and five patients had partial tears. There was no association between functional and anatomic results. Conclusions： For intratendinous PTRCT, clinical outcomes and tendon healing showed good results at a minimum 2-year after arthroscopic repair.

关键词： Arthroscopic Repair lntratendinous Tear Partial-thickness Tear Rotator Cuff Shoulder

Ramsey Numbers of Trees Versus Multiple Copies of Books

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Acta Mathematicae Applicatae Sinica 2024年第3期40卷 600-612页

作者： xiao-bing guo Si-nan HU Yue-jian PENG School of Mathematical Sciences Luoyang Normal UniversityLuoyang 471934China School of Mathematics Hunan UniversityChangsha 410082China

Given two graphs G and H,the Ramsey number R(G,H) is the minimum integer N such that any two-coloring of the edges of K_(N) in red or blue yields a red G or a blue *** v(G) be the number of vertices of G and χ(G) be the chromatic number of *** s(G) denote the chromatic surplus of G,the number of vertices in a minimum color class among all proper χ(G)-colorings of *** showed that R(G,H)≥(v(G)-1)(χ(H)-1)+s(H) if G is connected and v(G)≥s(H).A connected graph G is H-good if R(G,H)=(v(G)-1)(χ(H)-1)+s(H).Let tH denote the disjoint union of t copies of graph H,and let G∨H denote the join of G and *** a complete graph on n vertices by K_(n),and a tree on n vertices by T_(n).Denote a book with n pages by B_(n),i.e.,the join K_(2) ∨■.Erd?s,Faudree,Rousseau and Schelp proved that T_(n) is B_(m)-good if n≥*** this paper,we obtain the exact Ramsey number of T_(n) versus 2B_(2).Our result implies that T_(n) is 2B_(2)-good if n≥5.

关键词： ramsey number ramsey goodness tree book

A BRIEF INTRODUCTION TO MERIDIAN PROJECT

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空间科学学报 2002年第Z1期22卷 35-38页

作者： WEI Fengsi xiao Zuo WU jian guo jianshan FENG Xueshang Center for Space Science and Applied Research The Chinese Academy of Sciences Beijing 100080 P.R. China Department of Geophysics Peking University P.R. China Institute of Radio Propagation Ministry of Information Industry P.R.China Center for Space Science and Applied Research The Chinese Academy of Sciences Beijing 100080 P.R. China Center for Space Science and Applied Research The Chinese Academy of Sciences Beijing 100080 P.R. China

　　Early in 1994, sponsored by Chinese Academy of Sciences (CAS) and then the State Science and Technology Commission of China (SSTC, now Ministry of Sci ence and Technology), Chinese space scientists (including scientists from Taiwan) gathered together to discuss issues on the development of space physics researches in China. Following it, several special seminars were held to continue the discus sion which finally led to a proposal to CAS and SSTC for establishing a station chain along the 120°E to monitor the space environment. This proposal was care fully reviewed and thoroughly evaluated by many leading scientists in the com munity and then listed in the State Plan of Chinese Central Government in June 1997. The project then has been formally called as "Meridian Chain of Compre hensive Ground-Based Space Environment Monitors in the Eastern Hemisphere" "Meridian Project". After several years of preparations the project has been par tially initiated with the efforts devoted by institutes and universities involved.……

关键词： space environment Science and Technology

Retinal detachment in a boy with Gaucher disease

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International Journal of Ophthalmology(English edition) 2018年第9期11卷 1566-1568页

作者： Tan-Tai Zhao Hui-Ling Li xiao-jian guo Jing Luo xiao Liu Fang Fang Department of Ophthalmology the Second Xiangya HospitalCentral South University

Dear Editor,I am *** Fang, from the Department of Ophthalmologyof the Second Xiangya Hospital of Central South University in Changsha, Hunan Province, China. I write to present a case report of retinal detachment with Gaucher disease（GD）.GD is a chronic, progressive, autosomal recessive lipidstorage disease caused by mutations in the lysosomal enzyme β-glucosidase（glucocerebrosidase）.

关键词： GD Retinal detachment in a boy with Gaucher disease Figure

Efficacy and necessity of prophylactic vitrectomy for acute retinal necrosis syndrome

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International Journal of Ophthalmology(English edition) 2012年第4期5卷 482-487页

作者： Yong-Heng Luo Xuan-Chu Duan Bai-Hua Chen Luo-Sheng Tang and xiao-jian guo Department of Ophthalmology the Second Xiangya Hospital Central South University Changsha 410011 Hunan Province China

AIM: To compare the efficacy of prophylactic vitrectomy for acute retinal necrosis syndrome(ARN) with routine treatment in Chinese patients, thereby investigate the necessity of prophylactic vitrectomy for ARN. METHODS: Thirty patients (37 eyes) were retrospectively included in this study. The eyes were divided into 2 groups by treatment, including routine treatment, which consisted of antiviral medication and vitrectomy after retinal detachment (RD) (n=21), and prophylactic vitrectomy, which consisted of antiviral medication and vitrectomy for the prevention of RD performed during the active inflammatory phase (n=16). The extent of necrosis was determined by fundus photographs at the time of presentation (for eyes with mild vitreous opacity) or the drawings in the operation records. Necrosis of the 37 eyes was divided into 3 grades, including peripheral, middle-peripheral and extensive. The follow-up period ranged from 8 to 57 months. Differences in visual acuity and necrosis between groups were identified using independent samples t-test. RESULTS: Necrosis was more extensive in the routine treatment group than in the prophylactic vitrectomy group (P<0.05). In the routine treatment group, conservative treatment improved necrosis and prevented RD in 6 eyes (29%). Seven eyes (33%) obtained anatomical success, but retinal redetachment occurred in 8 eyes (57%). There were also 5 eyes (24%) developed ocular hypotony or atrophy. Ten eyes (48%) achieved equal or increased visual acuity. In the prophylactic vitrectomy group, RD occurred in 2 eyes (13%). Twelve eyes (75%) were completely anatomically successful, and 10 eyes underwent silicone oil removal. Only one eye (6%) became ocular hypotony. Fourteen eyes (88%) achieved equal or increased visual acuity. The prophylactic vitrectomy group achieved better vision trends than the routine treatment group (P<0.05). Eyes with peripheral necrosis had better visual outcomes than those with mid-peripheral (P<0.05) or extensive (P

关键词： acute retinal necrosis prophylactic vitrectomy retinal detachment visual acuity