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SUBSTRUCTURE PRECONDITIONERS FOR NONCONFORMING PLATE ELEMENTS

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Journal of Computational Mathematics 1998年第4期16卷 289-304页

作者： shi, ZC xie, ZH Chinese Acad Sci ICMSEC State Key Lab Sci & Engn Comp Beijing 100080 Peoples R China Chinese Acad Sci Inst Atmospher Phys LASG Beijing 100080 Peoples R China

In this paper, we consider the problem of solving finite element equations of biharmonic Dirichlet problems. We divide the given domain into non-overlapping subdomains, construct a preconditioner for Morley element by substructuring on the basis of a function decomposition for discrete biharmonic functions. The function decomposition is introduced by partitioning these finite element functions into the low and high frequency components through the intergrid transfer operators between coarse mesh and fine mesh, and the conforming interpolation operators. The method leads to a preconditioned system with the condition number bounded by C(1 + log(2) H/h) in the case with interior cross points, and by C in the case without interior cross points, where H is the subdomain size and h is the mesh size. These techniques are applicable to other nonconforming elements and are well suited to a parallel computation.

关键词： substructure preconditioner biharmonic equation nonconforming plate element

MULTIGRID METHODS FOR MORLEY ELEMENT ON NONNESTED MESHES

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Journal of Computational Mathematics 1998年第5期16卷 385-394页

作者： shi, ZC xie, ZH Chinese Acad Sci ICMSEC State Key Lab Sci & Engn Comp Beijing 100080 Peoples R China Chinese Acad Sci Inst Atmospher Phys LASG Beijing 100080 Peoples R China

In this paper, we consider some multigrid algorithms for the biharmonic problem discretized by Morley element on nonnested meshes. Through taking the averages of the nodal variables we construct an intergrid transfer operator that satisfies a certain stable approximation property. The so-called regularity-approximation assumption is then established. Optimal convergence properties of the W-cycle and a uniform condition number estimate for the variable V-cycle preconditioner are presented. This technique is applicable to other nonconforming plate elements.

关键词： multigrid method Morley element nonnested meshes

Atomic resolution in noncontact AFM by probing cantilever frequency shifts

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China Particuology 2007年第3期5卷 242-246页

作者： Hong yong xie Department of Environmental Engineering Shanghai Second Polytechnic University 2360 Jin Hai Road Pudong Shanghai 201209 China

Rutile TiO2 （001） quantum dots （or nano-marks） in different shapes were used to imitate uncleaved material surfaces or materials with rough surfaces. By numerical integration of the equation of motion of cantilever for silicon tip scanning along the [110] direction over the rutile TiO2 （001） quantum dots in ultra high vacuum （UHV）, scanning routes were explored to achieve atomic resolution from frequency shift image. The tip-surface interaction forces were calculated from Lennard-Jones （12-6） potential by the Hamaker summation method. The calculated results showed that atomic resolution could be achieved by frequency shift image for TiO2 （001） surfaces of rhombohedral quantum dot scanning in a vertical route, and spherical cap quantum dot scanning in a superposition route.2007 Chinese Society of Particuology and Institute of Process Engineering, Chinese Academy of Sciences. Published by Elsevier B.V.

关键词： Nc-AFM Frequency shift image Atomic resolution Quantum dots Uncleaved material surface

L^(p)-Estimate for Linear Forward-Backward Stochastic Differential Equations

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Acta Mathematica Sinica,English Series 2023年第5期39卷 827-845页

作者： Bing xie Zhi yong YU School of Mathematics Shandong UniversityJinan 250100P.R.China

This paper is concerned with coupled linear forward-backward stochastic differential equations(FBSDEs,for short).When the homogeneous coefficients are deterministic(the non-homogeneous coefficients can be random),we obtain an L^(P)-result(p>2),including the existence and uniqueness of the p-th power integrable solution,a p-th power estimate,and a related continuous dependence property of the solution on the coefficients,for coupled linear FBSDEs in the monotonicity framework over large time *** order to get rid of the stubborn constraint commonly existing in the literature,i.e.,the Lipschitz constant of σ with respect to z is very small,we introduce a linear transformation to overcome the difficulty on small intervals,and then"splice"the L^(P)-results obtained on many small intervals to yield the desired one on a large interval.

关键词： Forward-backward stochastic differential equation L^(P)-estimate monotonicity condition large interval

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Stiffness-tunable biomaterials provide a good extracellular matrix environment for axon growth and regeneration

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Neural Regeneration Research 2025年第5期20卷 1364-1376页

作者： Ronglin Han Lanxin Luo Caiyan Wei Yaru Qiao Jiming xie Xianchao Pan Juan Xing Department of Pathophysiology School of Basic Medical SciencesSouthwest Medical UniversityLuzhouSichuan ProvinceChina Department of Medicinal Chemistry School of PharmacySouthwest Medical UniversityLuzhouSichuan ProvinceChina

Neuronal growth, extension, branching, and formation of neural networks are markedly influenced by the extracellular matrix—a complex network composed of proteins and carbohydrates secreted by cells. In addition to providing physical support for cells, the extracellular matrix also conveys critical mechanical stiffness cues. During the development of the nervous system, extracellular matrix stiffness plays a central role in guiding neuronal growth, particularly in the context of axonal extension, which is crucial for the formation of neural networks. In neural tissue engineering, manipulation of biomaterial stiffness is a promising strategy to provide a permissive environment for the repair and regeneration of injured nervous tissue. Recent research has fine-tuned synthetic biomaterials to fabricate scaffolds that closely replicate the stiffness profiles observed in the nervous system. In this review, we highlight the molecular mechanisms by which extracellular matrix stiffness regulates axonal growth and regeneration. We highlight the progress made in the development of stiffness-tunable biomaterials to emulate in vivo extracellular matrix environments, with an emphasis on their application in neural repair and regeneration, along with a discussion of the current limitations and future prospects. The exploration and optimization of the stiffness-tunable biomaterials has the potential to markedly advance the development of neural tissue engineering.

关键词： alginate axon growth biomaterials extracellular matrix neural repair neurons neuroregeneration polyacrylamide polydimethylsiloxane stiffness

Traditional Chinese medicine in the treatment of Helicobacter pylorirelated gastritis:The mechanisms of signalling pathway regulations

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World Journal of Gastroenterology 2025年第3期31卷 11-28页

作者： Pei-Pei Zhang Liang Li Hao-Yu Qu Guang-Yu Chen Meng-Zhou xie Yan-Kun Chen School of Traditional Chinese Medicine Hunan University of Chinese MedicineChangsha 410200Hunan ProvinceChina Hunan Engineering Technology Research Center for Medicinal and Functional Food Hunan University of Chinese MedicineChangsha 410200Hunan ProvinceChina Key Laboratory of Traditional Chinese Medicine Heart and Lung Syndrome Differentiation and Medicated Diet and Dietotherapy Hunan University of Chinese MedicineChangsha 410200Hunan ProvinceChina School of Informatics Hunan University of Chinese MedicineChangsha 410208Hunan ProvinceChina Precision Medicine Research and Development Center Zhuhai Institute of Advanced TechnologyChinese Academy of SciencesZhuhai 519000Guangdong ProvinceChina

Helicobacter pylori-associated gastritis(HPAG)is a common condition of the gastrointestinal ***,extensive and long-term antibiotic use has resulted in numerous adverse effects,including increased resistance,gastrointestinal dysfunction,and increased recurrence *** these concerns develop,traditional Chinese medicine(TCM)may have *** is based on the concept of completeness and aims to eliminate pathogens and strengthen the *** has the potential to prevent this condition while also boosting the rate of Helicobacter pylori *** review elaborates on the mechanism of TCM treatment for HPAG based on cellular signalling pathways,which reflects the flexibility of TCM in treating diseases and the advantages of multi-level,multipathway,and multi-target treatments for HPAG.

关键词： Helicobacter pylori Helicobacter pylori-associated gastritis Traditional Chinese medicine Signalling pathway Eliminate pathogens Strengthen the body

Behavior of Theta-series under Modular Substitutions

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Acta Mathematica Sinica,English Series 2011年第9期27卷 1705-1716页

作者： Bing yong xie LMAM School of Mathematical Science Peking University Beijing 10087'1 P. R. China

In this article we provide a transformation formula of certain theta series, and apply it to obtain non-holomorphic vector-valued modular forms.

关键词： Theta series nonholomorphic vector-valued modular forms

加州新小绥螨不同释放量对草莓二斑叶螨的防治作用

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蛛形学报 2019年第2期28卷 151-156页

作者：季洁谢世勇余德亿余红周铁锋江宏斌福建省农业科学院植物保护研究所福州350013 杭州市农业科学研究院杭州310024 建德市小芹草莓专业合作社浙江建德310024

本文评估了加州新小绥螨Neoseiulus(Amblyseius)californicus(McGregor)对草莓二斑叶螨Tetranychus urticae(Koch)的控制作用.在二斑叶螨发生初期,按益害比1:5释放加州新小绥螨时,它几乎消灭了所有的二斑叶螨;当以1:10释放加州新小绥螨... 详细信息

本文评估了加州新小绥螨Neoseiulus(Amblyseius)californicus(McGregor)对草莓二斑叶螨Tetranychus urticae(Koch)的控制作用.在二斑叶螨发生初期,按益害比1:5释放加州新小绥螨时,它几乎消灭了所有的二斑叶螨;当以1:10释放加州新小绥螨时,它也能有效控制二斑叶螨的为害,控制期长达40天;但益害比为1:20时,控制作用有限.本研究明确了加州新小绥螨是防治草莓二斑叶螨的优良天敌.

关键词：加州新小绥螨二斑叶螨草莓

Novel structural designs of 3D-printed osteogenic graft for rapid angiogenesis

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Bio-Design and Manufacturing 2023年第1期6卷 51-73页

作者： Weiying Lu Yang shi Zhijian xie Stomatology Hospital School of StomatologyZhejiang University School of MedicineZhejiang UniversityHangzhou 310006China Key Laboratory of Oral Biomedical Research of Zhejiang Province Zhejiang UniversityHangzhou 310006China Cancer Center Zhejiang UniversityHangzhou 310006China Zhejiang Provincial Clinical Research Center for Oral Diseases Zhejiang UniversityHangzhou 310006China

Large bone defect regeneration has always been recognized as a challenging clinical problem due to the difficulty of *** treatments exhibit certain inherent disadvantages(e.g.,secondary injury,immunization,and potential infections).However,three-dimensional(3D)printing technology as an emerging field can serve as an effective approach to achieve satisfactory revascularization while making up for the above limitations.A wide variety of methods can be used to facilitate blood supply during the design of a 3D-printed ***,the scaffold structure lays a foundation for the entire printing object;any method to promote angiogenesis can be effective only if it is based on well-designed *** this review,different designs related to angiogenesis are summarized by collecting the literature from recent *** 3D-printed scaffolds are classified into four major categories and discussed in detail,from elementary porous scaffolds to the most advanced bone-like ***,structural design suggestions to achieve rapid angiogenesis are proposed by analyzing the above *** review can provide a reference for organizations or individual academics to achieve improved bone defect repair and regeneration using 3D printing.

关键词： 3D printing Angiogenesis Bone regeneration Tissue engineering Biomimetic scaffolds