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高阶网络牵制控制中单纯形的选择

中国科学：信息科学 2024年第3期54卷 708-718页

作者：周进李博陆君安史定华武汉大学数学与统计学院武汉430072 计算科学湖北省重点实验室武汉430072 上海大学理学院数学系上海200444

随着网络科学的发展,普通网络无法描述多个个体间的交互作用,这就有必要引入高阶网络.高阶网络能够刻画普通网络无法描述的网络特征,其中单纯形(2阶以上)扮演着关键角色.牵制控制具有“四两拨千斤”的作用,在高阶网络中只需牵制一部分... 详细信息

随着网络科学的发展,普通网络无法描述多个个体间的交互作用,这就有必要引入高阶网络.高阶网络能够刻画普通网络无法描述的网络特征,其中单纯形(2阶以上)扮演着关键角色.牵制控制具有“四两拨千斤”的作用,在高阶网络中只需牵制一部分单纯形就能达到同步.但如何选取合适的单纯形进行牵制控制,是一个充满挑战而又全新的课题.本文给出高阶网络达到同步的自适应牵制控制律,并提出如何选择合适的单纯形进行牵制,选择方式由高阶网络广义Laplacian矩阵次小特征值对应的单位特征向量分量决定.数值仿真结果表明该方法简单有效,牵制控制效果与单纯形选择方式一致.

关键词：复杂网络高阶网络牵制控制同步单纯形

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流感相关颅内曲霉菌病1例并文献复习

中国热带医学 2024年第4期24卷 489-494页

作者：石丁华熊梦龙胡琦瑶陈淳媛中南大学湘雅三医院儿科湖南长沙410000

探讨流感相关颅内曲霉菌病的临床特征、早期识别及预后。回顾性分析2022年中南大学湘雅三医院儿科收治的1例流感相关颅内曲霉菌病患儿的临床资料。通过检索中国知网、万方数据库、Web of Science、PubMed等中英文数据库,检索时间截至202... 详细信息

探讨流感相关颅内曲霉菌病的临床特征、早期识别及预后。回顾性分析2022年中南大学湘雅三医院儿科收治的1例流感相关颅内曲霉菌病患儿的临床资料。通过检索中国知网、万方数据库、Web of Science、PubMed等中英文数据库,检索时间截至2023年11月,根据纳入和排除标准筛选文献,对所有流感相关颅内曲霉病的临床特征、诊断、治疗及预后进行总结,检索共获得5篇5例流感相关曲霉菌病个案报道,其中包括1例儿童患者,加上本研究的1例儿童流感相关颅内曲霉菌病,一共6例流感相关曲霉菌病患者。6例患者临床表现为意识障碍、偏瘫、瞳孔改变、行为异常、癫痫等,多数病例通过病理或尸检查找病原体诊断,本例患儿通过病原宏基因二代测序(metagenomic next-generation sequencing,mNGS)确诊病原体,治疗上均首选抗真菌药物治疗。存活患者中66.7%接受手术治疗,6例患者中死亡率达50.0%。流感相关颅内曲霉菌病罕见,儿童和成人均可发生,预后差。在流感早期如有神经系统症状,应进行真菌感染筛查,宏基因二代测序能提高颅内曲霉菌病的诊断率。

关键词：流感侵袭性曲霉菌病颅内曲霉菌病幼儿早期识别

Critical thinking of scale-free networks: similarities and differences in power-law random graphs

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National Science Review 2014年第3期1卷 337-338页

作者： dinghua.shi Department of Mathematics Shanghai University

Barab′asi and Albert proposed the scalefree network model[1]without a precise mathematical deinition,only simply saying that the network degree distribution has a power-law tail of the form P(k)～k-γ.Up to now,the a... 详细信息

关键词： free net work Critical thinking of scale-free networks similarities and differences in power-law random graphs

Simplicial networks:a powerful tool for characterizing higher-order interactions

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National Science Review 2022年第5期9卷 79-80页

作者： dinghua.shi Guanrong Chen Department of Mathematics College of ScienceShanghai University Department of Electronic Engineering City University of Hong Kong

In recent network research,more and more efforts have been devoted to studying higher-order interactions in complex networks that explain some intrinsic properties,discover hidden features that conventional mathematical tools cannot help to find and enable a clearer view of the re al *** article presents a perspective on the state-of-the-art progress in the field.

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Totally homogeneous networks

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National Science Review 2019年第5期6卷 962-969页

作者： dinghua.shi Linyuan Lü Guanrong Chen Department of Mathematics College of Science Shanghai University Institute of Fundamental and Frontier Sciences University of Electronic Science and Technology of China Department of Electronic Engineering City University of Hong Kong

In network science, the non-homogeneity of node degrees has been a concerning issue for ***, with today’s modern web technologies, the traditional social communication topologies have evolved from node-central structures into online cycle-based communities, urgently requiring new network theories and *** the focus from node degrees to network cycles could reveal many interesting properties from the perspective of totally homogenous networks or sub-networks in a complex network, especially basic simplexes(cliques) such as links and ***, compared with node degrees, it is much more challenging to deal with network *** studying the latter, a new clique vector-space framework is introduced in this paper, where the vector space with a basis consisting of links has a dimension equal to the number of links, that with a basis consisting of triangles has the dimension equal to the number of triangles and so *** two vector spaces are related through a boundary operator, for example mapping the boundary of a triangle in one space to the sum of three links in the other *** the new framework,some important concepts and methodologies from algebraic topology, such as characteristic number,homology group and Betti number, will play a part in network science leading to foreseeable new research *** immediate applications, the paper illustrates some important characteristics affecting the collective behaviors of complex networks, some new cycle-dependent importance indexes of nodes and implications for network synchronization and brain-network analysis.

关键词： boundary operator clique vector space cycle homology group totally homogenous network

Analysis of Stationary Queue Length Distribution for Geo/T-IPH/1 Queue

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Journal of the Operations Research Society of China 2013年第3期1卷 415-424页

作者： Hongbo Zhang Zhenting Hou dinghua.shi School of Mathematics Central South UniversityChangsha410075China Department of Mathematics Henan Institute of EducationZhengzhou450046China Department of Mathematics Shanghai UniversityShanghai200444China

In this paper we study a Geo/T-IPH/1 queue model,where T-IPH denotes the discrete time phase type distribution defined on a birth-and-death process with countably many *** queue model can be described by a quasi-birth-anddeath(QBD)process with countably *** the operator-geometric solution method,we first give the expression of the operator and the joint stationary distribu*** we obtain the probability generating function(PGF)for stationary queue length distribution and sojourn time distribution,respectively.

关键词： Geo/T-IPH/1 queue QBD process Probability generating function Stationary queue length Stationary sojourn time

An integration system for investment casting mould design of aeroengine turbine blade

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China Foundry 2008年第2期5卷 114-118页

作者： Jiang Ruisong Zhang dinghua Wang Wenhu shi Huajie Key Laboratory of Contemporary Design and Integrated Manufacturing Ministry of Education Northwestern Polytechnical University Xi＇an 710072 China

An integration system was developed to satisfy the need of information integration in the process of designing, investment casting and monitoring aero-engine's turbo blade. The general architecture is detailed presented in this paper. The system mainly comprises of product master model, design information management, anti-deformation design of mould cavity, intelligence mould design and blade testing. The developed system can manage mould design and blade test data flow, optimize mould design process and achieve the goal of integration design.

关键词： turbo blade investment casting mould design integration design product master model (PMM)

CROSSING TIME AND RENEWAL NUMBERS OF TWO PH-RENEWAL PROCESSES

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Applied Mathematics(A Journal of Chinese Universities) 1995年第2期10卷 111-122页

作者： shi dinghua AND MIR G. H. TALPUR Department of Mathematics Shanghai University of Science and Technology Shanghai

This paper considers how to find some joint distributions and their marginal distributions of crossing time and renewal numbers related to two PH-renewal processes by constructing an absorbing Markov process.

关键词： PH-distribution absorbing Markov process PH-renewal process.

张定华“调气和解”法联合西药治疗甲亢临证经验

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中国民族民间医药 2024年第3期33卷 97-100页

作者：梁江桃张定华史晓伟谢卓霖甘肃中医药大学甘肃兰州730030 甘肃省中医院甘肃兰州730050

甲状腺功能亢进症是临床较为常见的内分泌系统疾病,气机郁滞,脏腑失和是甲亢发生的重要病机。张定华主任医师运用“调气和解”法治疗甲亢。通过调畅气机,调和肝脾、和解少阳、调节脏腑阴阳等具体疗法,旨在恢复人体正常机能,改善临床不... 详细信息

甲状腺功能亢进症是临床较为常见的内分泌系统疾病,气机郁滞,脏腑失和是甲亢发生的重要病机。张定华主任医师运用“调气和解”法治疗甲亢。通过调畅气机,调和肝脾、和解少阳、调节脏腑阴阳等具体疗法,旨在恢复人体正常机能,改善临床不适症状,使得阴平阳秘,临床运用效果明显。

关键词：甲亢调气和解张定华名中医经验