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Some mathematical aspects of Anderson localization:boundary effect,multimodality,and bifurcation

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Communications in Theoretical Physics 2022年第11期74卷 45-64页

作者： Chen Jia ziqi liu Zhimin Zhang Applied and Computational Mathematics Division Beijing Computational Science Research CenterBeijing 100193China Department of Mathematical Sciences Tsinghua UniversityBeijing 100084China Department of Mathematics Wayne State UniversityDetroitMichigan 48202United States of America

Anderson localization is a famous wave phenomenon that describes the absence of diffusion of waves in a disordered *** we generalize the landscape theory of Anderson localization to general elliptic operators and complex boundary conditions using a probabilistic approach,and further investigate some mathematical aspects of Anderson localization that are rarely discussed ***,we observe that under the Neumann boundary condition,the low energy quantum states are localized on the boundary of the domain with high *** provide a detailed explanation of this phenomenon using the concept of extended subregions and obtain an analytical expression of this probability in the one-dimensional ***,we find that the quantum states may be localized in multiple different subregions with high probability in the one-dimensional case and we derive an explicit expression of this probability for various boundary ***,we examine a bifurcation phenomenon of the localization subregion as the strength of disorder *** critical threshold of bifurcation is analytically computed based on a toy model and the dependence of the critical threshold on model parameters is analyzed.

关键词： landscape spectrum eigenvalue eigenmode eigenfunction elliptic operator Schr?dinger operator confinement

WGI-Net:A weighted group integration network for RGB-D salient object detection

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Computational Visual Media 2021年第1期7卷 115-125页

作者： Yanliang Ge Cong Zhang Kang Wang ziqi liu Hongbo Bi School of Electrical Information Engineering Northeast Petroleum UniversityDaqing 163000China

Salient object detection is used as a preprocess in many computer vision tasks(such as salient object segmentation,video salient object detection,etc.).When performing salient object detection,depth information can provide clues to the location of target objects,so effective fusion of RGB and depth feature information is *** this paper,we propose a new feature information aggregation approach,weighted group integration(WGI),to effectively integrate RGB and depth feature *** use a dual-branch structure to slice the input RGB image and depth map separately and then merge the results separately by *** grouped features may lose global information about the target object,we also make use of the idea of residual learning,taking the features captured by the original fusion method as supplementary information to ensure both accuracy and completeness of the fused *** on five datasets show that our model performs better than typical existing approaches for four evaluation metrics.

关键词： weighted group depth information RGBD information salient object detection deep learning

Comprehensive analyses of the proteome and ubiquitome revealed mechanism of high temperature accelerating petal abscission in tree peony

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Horticultural Plant Journal 2024年第1期10卷 205-222页

作者： Chunying liu ziqi liu Yanchao Yuan Yuxi Zhang Yifu Fang Junqiang Chen Shupeng Gai Key Laboratory of Plant Biotechnology in Shandong Province College of Life SciencesQingdao Agricultural UniversityQingdaoShandong 266109China Shandong Academy of Forestry JinanShandong 250014China

Tree peony(Paeonia suffruticosa Andrews)is a well-known ornamental plant with high economic value,but the short fluorescence is a key obstacle to its ornamental value and industry *** temperature accelerates flower senescence and abscission,but the associated mechanisms are poorly *** this study,the tandem mass tag(TMT)proteome and label-free quantitative ubiquitome from tree peony cut flowers treated with 20℃for 0 h(RT0),20℃or 28℃for 60 h(RT60 or HT60)were examined based on morphological observation,***,6970 proteins and 1545 lysine ubiquitinated(Kub)sites in 844 proteins were *** residues(such as glutamate and aspartate)neighboring the Kub sites were in preference,and 36.01%of the Kub sites were located on the protein *** differentially expressed proteins(DEPs)and Kub-DEPs in HT60 vs RT60 were mainly enriched in ribosomal protein,protein biosynthesis,secondary metabolites biosynthesis,flavonoid metabolism,carbohydrate catabolism,and auxin biosynthesis and signaling revealed by GO and KEGG analysis,accompanying the increase of endogenous abscisic acid(ABA)accumulation and decrease of endogenous indoleacetic acid(IAA)***,the expression patterns of six enzymes(SAMS,ACO,YUC,CHS,ANS and PFK)putatively with Kub modifications were analyzed by proteome and real-time quantitative *** cell-free degradation assays showed PsSAMS and PsACO proteins could be degraded via the 26 S proteasome system in tree peony ***,a working model was proposed for the acceleration of flower senescence and abscission by high *** summary,all results contributed to understanding the mechanism of flower senescence induced by high temperature and prolonging fluorescence in tree peony.

关键词： Tree peony Proteome Ubiquitome High temperature Flower senescence

Network pharmacology approaches for research of Traditional Chinese Medicines

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Chinese Journal of Natural Medicines 2023年第5期21卷 323-332页

作者： LI Xiang liu ziqi LIAO Jie CHEN Qian LU Xiaoyan FAN Xiaohui School of Basic Medical Sciences and Forensic Medicine Hangzhou Medical CollegeHangzhou 311399China Department of Chinese Medicine Science&Engineering College of Pharmaceutical SciencesZhejiang UniversityHangzhou 310058China Innovation Center in Zhejiang University State Key Laboratory of Component-based Chinese MedicineHangzhou 310058China Future Health Laboratory Innovation Center of Yangtze River DeltaZhejiang UniversityJiaxing 314100China

Pharmacodynamics material basis and effective mechanisms are the two main issues to decipher the mechnisms of action of Traditional Chinese medicines(TCMs)for the treatment of ***,in“multi-component,multi-target,multi-pathway”paradigm,show satisfactory clinical results in complex *** ideas and methods are urgently needed to explain the complex interactions between TCMs and *** pharmacology(NP)provides a novel paradigm to uncover and visualize the underlying interaction networks of TCMs against multifactorial *** development and application of NP has promoted the safety,efficacy,and mechanism investigations of TCMs,which then reinforces the credibility and popularity of *** current organcentricity of medicine and the“one disease-one target-one drug”dogma obstruct the understanding of complex diseases and the development of effective ***,more attentions should be paid to shift from“phenotype and symptom”to“endotype and cause”in understanding and redefining current *** the past two decades,with the advent of advanced and intelligent technologies(such as metabolomics,proteomics,transcriptomics,single-cell omics,and artificial intelligence),NP has been improved and deeply implemented,and presented its great value and potential as the next drug-discovery *** is developed to cure causal mechanisms instead of treating *** review briefly summarizes the recent research progress on NP application in TCMs for efficacy research,mechanism elucidation,target prediction,safety evaluation,drug repurposing,and drug design.

关键词： Network Pharmacology Single-Cell omics Artificial Intelligence Traditional Chinese Medicine Herbal Medicine Pharmacodynamics Material Basis Effective Mechanism Drug Repurposing

Bi-objective evolutionary Bayesian network structure learning via skeleton constraint

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Frontiers of Computer Science 2023年第6期17卷 111-123页

作者： Ting WU Hong QIAN ziqi liu Jun ZHOU Aimin ZHOU Shanghai Institute of AI for Education and School of Computer Science and Technology East China Normal UniversityShanghai 200062China Ant Group Hangzhou 310023China

Bayesian network is a popular approach to uncertainty knowledge representation and reasoning. Structure learning is the first step to learn a Bayesian network. Score-based methods are one of the most popular ways of learning the structure. In most cases, the score of Bayesian network is defined as adding the log-likelihood score and complexity score by using the penalty function. If the penalty function is set unreasonably, it may hurt the performance of structure search. Thus, Bayesian network structure learning is essentially a bi-objective optimization problem. However, the existing bi-objective structure learning algorithms can only be applied to small-scale networks. To this end, this paper proposes a bi-objective evolutionary Bayesian network structure learning algorithm via skeleton constraint (BBS) for the medium-scale networks. To boost the performance of searching, BBS introduces the random order prior (ROP) initial operator. ROP generates a skeleton to constrain the searching space, which is the key to expanding the scale of structure learning problems. Then, the acyclic structures are guaranteed by adding the orders of variables in the initial skeleton. After that, BBS designs the Pareto rank based crossover and skeleton guided mutation operators. The operators operate on the skeleton obtained in ROP to make the search more targeted. Finally, BBS provides a strategy to choose the final solution. The experimental results show that BBS can always find the structure which is closer to the ground truth compared with the single-objective structure learning methods. Furthermore, compared with the existing bi-objective structure learning methods, BBS is scalable and can be applied to medium-scale Bayesian network datasets. On the educational problem of discovering the influencing factors of students’ academic performance, BBS provides higher quality solutions and is featured with the flexibility of solution selection compared with the widely-used Bayesian netwo

关键词： Bayesian network structure learning multi-objective optimization conditional independence test

Efficient Synthesis of P-Chirogenic Compounds Enabled by Chiral Selenide-Catalyzed Enantioselective Electrophilic Aromatic Halogenation

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CCS Chemistry 2021年第11期3卷 2617-2628页

作者： Ruizhi Guo ziqi liu Xiaodan Zhao MOE Key Laboratory of Bioinorganic and Synthetic Chemistry Institute of Organic ChemistrySchool of ChemistrySun Yat-Sen UniversityGuangzhou 510275

P-chirogenic compounds have been applied in different fields,especially in asymmetric catalysis as ligands and ***,broader applicability has been severely restricted by the lack of efficient synthetic ***,developing efficient methods to access these compounds is of high synthetic ***,we report a convenient,efficient,and unprecedented pathway to construct valuable P-chirogenic compounds via chiral selenide-catalyzed enantioselective electrophilic aromatic *** a new chiral bifunctional selenide as the catalyst,a variety of bis(2-hydroxyaryl)aryl phosphine oxides were efficiently converted to the corresponding chlorinated and brominated P-chirogenic compounds with good to excellent *** slightly adjusting the catalyst and solvent,this method is also able to prepare chiral alkyl diaryl phosphine oxides and diaryl ***,control experiments revealed the decomposition pathways of catalysts and the possible reasons why chiral selenide catalyst was more effective than chiral sulfide *** effect of hydrogen bonding was studied,and the reason why the chlorination took place on the various aromatic rings was elucidated when the substrates were switched from triaryl phosphine oxides to alkyl diaryl phosphine oxides and diaryl phosphinates.

关键词： P-chirogenic compounds aromatic halogenation electrophilic reaction Lewis base catalysis asymmetric catalysis

Effective Responses to Public Emergencies at the Urban Community Level:A Perspective of COVID-19 Prevention and Control

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Chinese Journal of Urban and Environmental Studies 2022年第3期10卷 112-123页

作者： liu ziqi JIANG Wei LI Jiahui School of Philosophy and Religions Minzu University of China The Institute of Ethnology and Anthropology Chinese Academy of Social Sciences School of Sociology and Ethnology University of Chinese Academy of Social Sciences

Community is directly responsible for implementing the policy measures against public emergencies such as extreme weather, earthquake, flash flood and pandemic diseases. Summarizing the experience at the urban community level can help promote the global emergency *** paper, from the perspective of COVID-19 prevention and control, selects three communities with different features to explore an effective response system for public emergency management at the urban community level. It demonstrates that based on a centralized leadership, the multilevel governance(MLG) network combined with information technology has mobilized their participation in combating COVID-19 and ensured the effective and timely response to the public emergencies, which blocked the spread of epidemic to the greatest extent, proving worthy of being promoted as one of the Chinese approaches and Chinese wisdom.

关键词： Urban community response system for public emergencies COVID-19 Chinese approaches and Chinese wisdom

Dimethyloxallyl glycine/nanosilicates-loaded osteogenic/angiogenic difunctional fibrous structure for functional periodontal tissue regeneration

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Bioactive Materials 2021年第4期6卷 1175-1188页

作者： Lingling Shang ziqi liu Baojin Ma Jinlong Shao Bing Wang Chenxi Ma Shaohua Ge Department of Periodontology School and Hospital of StomatologyCheeloo College of MedicineShandong University&Shandong Key Laboratory of Oral Tissue Regeneration&Shandong Engineering Laboratory for Dental Materials and Oral Tissue RegenerationJinanShandong250012China

The coupled process of osteogenesis-angiogenesis plays a crucial role in periodontal tissue *** various cytokines or chemokines have been widely applied in periodontal in situ tissue engineering,most of them are macromolecular proteins with the drawbacks of short effective half-life,poor stability and high cost,which constrain their clinical *** study aimed to develop a difunctional structure for periodontal tissue regeneration by incorporating an angiogenic small molecule,dimethyloxalylglycine(DMOG),and an osteoinductive inorganic nanomaterial,nanosilicate(nSi)into poly(lactic-co-glycolic acid)(PLGA)fibers by *** physiochemical properties of DMOG/nSi-PLGA fibrous membranes were ***,the effect of DMOG/nSi-PLGA membranes on periodontal tissue regeneration was evaluated by detecting osteogenic and angiogenic differentiation potential of periodontal ligament stem cells(PDLSCs)in ***,the fibrous membranes were transplanted into rat periodontal defects,and tissue regeneration was assessed with histological evaluation,micro-computed tomography(micro-CT),and immunohistochemical ***/nSi-PLGA membranes possessed preferable mechanical property and *** seeded on the DMOG/nSi-PLGA membranes showed up-regulated expression of osteogenic and angiogenic markers,higher alkaline phosphatase(ALP)activity,and more tube formation in comparison with single ***,in vivo study showed that the DMOG/nSi-PLGA membranes promoted recruitment of CD90+/CD34􀀀stromal cells,induced angiogenesis and osteogenesis,and regenerated cementum-ligament-bone complex in periodontal ***,the combination of DMOG and nSi exerted admirable effects on periodontal tissue ***/nSi-PLGA fibrous membranes could enhance and orchestrate osteogenesis-angiogenesis,and may have the potential to be translated as an effective scaffold in periodontal tissue engineering.

关键词： Periodontal tissue regeneration DMOG Nanosilicate Osteogenesis-angiogenesis coupling Electrospinning

Investigation and Analysis of the Current Situation of New Media Marketing in Small and Medium-sized Enterprises

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Journal of Economic Science Research 2022年第4期5卷 8-12页

作者： ziqi liu Mahidol University SalayaNakhon Pathom73170Thailand

With China’s entry into WTO, China’s small and medium-sized enterprises are facing unprecedented opportunities and challenges. The integration of the world economy has brought opportunities for the internationalization and industrialization of small and medium-sized enterprises. However, due to the lack of systematic marketing strategies, the development of small and medium-sized enterprises is beset with difficulties. From the perspective of marketing strategy, this paper analyzes the marketing strategy problems faced by small and medium-sized enterprises. From four aspects: marketing concept, marketing team, marketing strategy and marketing model 4P, this paper puts forward some countermeasures and suggestions for improving the marketing benefits of small and medium-sized enterprises.

关键词： Small and medium-sized enterprises Market competition Marketing strategy Marketing mix Countermeasure and suggestion