检索结果-南通市图书馆

Zero extension for Poisson's equation

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2020年第4期63卷 721-732页

作者： Yongyong Cai shulin Zhou Beijing Computational Science Research Center Beijing 100193China LMAM and School of Mathematical Sciences Peking UniversityBeijing 100871China

In this paper,we present a necessary and sufficient condition to guarantee that the extended function of the solution for Poisson's equation in a smaller domain by zero extension is still the solution of the corresponding extension problem in a larger *** prove the results under the frameworks of classical solutions,strong solutions and weak ***,we give some observations for the nonlinear pLaplace equation.

关键词： Poisson's equation zero extension a necessary and sufficient condition

THE LARGEST EIGENVALUE DISTRIBUTION OF THE LAGUERRE UNITARY ENSEMBLE

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2017年第2期37卷 439-462页

作者： shulin LYU Yang CHEN Department of Mathematics University of Macao Avenida da Universidade Taipa Macao China

We study the probability that all eigenvalues of the Laguerre unitary ensemble of n by n matrices are in （0, t）, that is, the largest eigenvalue distribution. Associated with this probability, in the ladder operator approach for orthogonal polynomials, there are recurrence coefficients, namely, an（t） and/3r, （t）, as well as three auxiliary quantities, denoted by rn（t）, Rn（t）, σn（t）. We establish the second order differential equations for both βn（t） and rn（t）. By investigating the soft edge scaling limit when a - O（n） as n→ ∞ or a is finite, we derive a PH, the σ-form, and the asymptotic solution of the probability. In addition, we develop differential equations for orthogonal polynomials Pn （z） corresponding to the largest eigenvalue distribution of LUE and GUE with n finite or large. For large n, asymptotic formulas are given near the singular points of the ODE. Moreover, we are able to deduce a particular case of Chazy＇s equation for （t） = （t） with （t） satisfying the a-form of PIV or PV.

关键词： Orthogonal polynomials Painleve equations differential equations

Human-induced pluripotent stem cell-derived neural stem cell exosomes improve blood-brain barrier function after intracerebral hemorrhage by activating astrocytes via PI3K/AKT/MCP-1 axis

在线全文

学校读者我要写书评

暂无评论

Neural Regeneration Research 2025年第2期20卷 518-532页

作者： Conglin Wang Fangyuan Cheng Zhaoli Han Bo Yan Pan Liao Zhenyu Yin Xintong Ge dai Li Rongrong Zhong Qiang Liu Fanglian Chen Ping Lei Department of Geriatrics Tianjin Medical University General HospitalTianjinChina School of Medicine Nankai UniversityTianjinChina Tianjin Neurological Institute TianjinChina

Cerebral edema caused by blood-brain barrier injury after intracerebral hemorrhage is an important factor leading to poor ***-induced pluripotent stem cell-derived neural stem cell exosomes(hiPSC-NSC-Exos)have shown potential for brain injury repair in central nervous system *** this study,we explored the impact of hiPSC-NSC-Exos on blood-brain barrier preservation and the underlying *** results indicated that intranasal delivery of hiPSC-NSC-Exos mitigated neurological deficits,enhanced blood-brain barrier integrity,and reduced leukocyte infiltration in a mouse model of intracerebral ***,hiPSC-NSC-Exos decreased immune cell infiltration,activated astrocytes,and decreased the secretion of inflammatory cytokines like monocyte chemoattractant protein-1,macrophage inflammatory protein-1α,and tumor necrosis factor-αpost-intracerebral hemorrhage,thereby improving the inflammatory *** sequencing indicated that hiPSC-NSC-Exo activated the PI3K/AKT signaling pathway in astrocytes and decreased monocyte chemoattractant protein-1 secretion,thereby improving blood-brain barrier *** with the PI3K/AKT inhibitor LY294002 or the monocyte chemoattractant protein-1 neutralizing agent C1142 abolished these *** summary,our findings suggest that hiPSC-NSC-Exos maintains blood-brain barrier integrity,in part by downregulating monocyte chemoattractant protein-1 secretion through activation of the PI3K/AKT signaling pathway in astrocytes.

关键词： AKT astrocyte blood-brain barrier cerebral edema exosomes human-induced pluripotent stem cells intracerebral hemorrhage neural stem cells neuroinflammation PI3K

Early identification of stroke through deep learning with multi-modal human speech and movement data

在线全文

学校读者我要写书评

暂无评论

Neural Regeneration Research 2025年第1期20卷 234-241页

作者： Zijun Ou Haitao Wang Bin Zhang Haobang Liang Bei Hu Longlong Ren Yanjuan Liu Yuhu Zhang Chengbo dai Hejun Wu Weifeng Li Xin Li School of Computer Science and Engineering Sun Yat-sen UniversityGuangzhouGuangdong ProvinceChina Department of Neurology Guangdong Neuroscience InstituteGuangdong Provincial People’s Hospital(Guangdong Academy of Medical Sciences)Southern Medical UniversityGuangzhouGuangdong ProvinceChina Department of Emergency Medicine Guangdong Provincial People’s Hospital(Guangdong Academy of Medical Sciences)Southern Medical UniversityGuangzhouGuangdong ProvinceChina

Early identification and treatment of stroke can greatly improve patient outcomes and quality of *** clinical tests such as the Cincinnati Pre-hospital Stroke Scale(CPSS)and the Face Arm Speech Test(FAST)are commonly used for stroke screening,accurate administration is dependent on specialized *** this study,we proposed a novel multimodal deep learning approach,based on the FAST,for assessing suspected stroke patients exhibiting symptoms such as limb weakness,facial paresis,and speech disorders in acute *** collected a dataset comprising videos and audio recordings of emergency room patients performing designated limb movements,facial expressions,and speech tests based on the *** compared the constructed deep learning model,which was designed to process multi-modal datasets,with six prior models that achieved good action classification performance,including the I3D,SlowFast,X3D,TPN,TimeSformer,and *** found that the findings of our deep learning model had a higher clinical value compared with the other ***,the multi-modal model outperformed its single-module variants,highlighting the benefit of utilizing multiple types of patient data,such as action videos and speech *** results indicate that a multi-modal deep learning model combined with the FAST could greatly improve the accuracy and sensitivity of early stroke identification of stroke,thus providing a practical and powerful tool for assessing stroke patients in an emergency clinical setting.

关键词： artificial intelligence deep learning diagnosis early detection FAST screening stroke

A Meshless and Parallelizable Method for Differential Equations with Time-Delay

在线全文

学校读者我要写书评

暂无评论

Numerical Mathematics(Theory,Methods and Applications) 2018年第1期11卷 92-127页

作者： shulin Wu Chengming Huang School of Mathematics and Statistics Sichuan University of Science and EngineeringZigong 643000China School of Mathematics and Statistics Huazhong University of Science and TechnologyWuhan 430074China Hubei Key Laboratoryof Engineering Modeling and ScientificComputing Huazhong University of Science and TechnologyWuhan 430074China

Numerical computation plays an important role in the study of differential equations with time-delay,because a simple and explicit analytic solution is usually un ***-stepping methods based on discretizing the temporal derivative with some step-size∆t are the main tools for this *** get accurate numerical solutions,in many cases it is necessary to require∆t<τand this will be a rather unwelcome restriction whenτ,the quantity of time-delay,is *** this paper,we propose a method for a class of time-delay problems,which is completely *** idea lies in representing the solution by its Laplace inverse transform along a carefully de-signed contour in the complex plane and then approximating the contour integral by the Filon-Clenshaw-Curtis(FCC)quadrature in a few fast growing *** computations of the solution for all time points of interest are naturally parallelizable and for each time point the implementations of the FCC quadrature in all subintervals are also *** each time point and each subinterval,the FCC quadrature can be implemented by fast Fourier *** results are given to check the efficiency of the proposed method.

关键词： Delay differential equations meshless/parallel computatio contour integral Filon-Clenshaw-Curtis quadrature

Dry modification of electrode materials by roller vibration milling at room temperature

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Particuology 2008年第5期6卷 383-388页

作者： Shengjuan Li shulin Wang Bo Xu Department of Power Engineering University of Shanghai for Science and Technology 516 Jungong Road Shanghai 200093 China

For the first time dry roller vibration milling at room temperature was used to prepare active carbon （AC） nano-particles and to modify MnO2 powder as electrode materials. In 30 min AC was milled to a mean particle size of 30-50 nm with increased crystallinity and higher specific surface area, predominantly mesoporous and with improved pore diameter distribution. Then, AC nano-particles were incorporated with MnO2 or bismuth-doped MnO2 nano-particles synthesized by sol-gel methods to prepare nano-composite electrode materials for studying their electrochemical performance. The AC nano-particles combined with 10 wt.% bismuth-doped MnO2 nano-particles were found to possess excellent electrochemical property with specific capacitance up to 308 F/g and without obvious attenuation with increasing current. Our method seems to ooen a new way to imorove AC based electrode materials used for clean energy such as suner capacitors.

关键词： Active carbon Roller vibration milling Electrode materials Nano-materials Super-capacitors

Numerical algorithms for Panjer recursion by applying Bernstein approximation

在线全文

学校读者我要写书评

暂无评论

Frontiers of Mathematics in China 2013年第5期8卷 1197-1226页

作者： Siyuan XIE Jingping YANG shulin ZHOU Department of Financial Mathematics School of Mathematical Sciences Peking University Beijing 100871 China LMEQF Department of Financial Mathematics School of Mathematical Sciences and Center for Statistical Science Peking University Beijing 100871 China LMAM School of Mathematical Sciences Peking University Beijing 100871 China

In actuarial science, Panjer recursion （1981） is used in insurance to compute the loss distribution of the compound risk models. When the severity distribution is continuous with density function, numerical calculation for the compound distribution by applying Panjer recursion will involve an approxi- mation of the integration. In order to simplify the numerical algorithms, we apply Bernstein approximation for the continuous severity distribution function and obtain approximated recursive equations, which are used for computing the approximated values of the compound distribution. The theoretical error bound for the approximation is also obtained. Numerical results show that our algorithm provides reliable results.

关键词： Compound risk model Panjer recursion Bernstein approximation,excess-of-loss reinsurance

Approach from the laboratory to the field: New strategies in the control of mosquito-borne infectious diseases

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Science China Life Sciences 2025年第1期 303-305页

作者： Ziqian Xu Lianpan dai Jun Liu National Key Laboratory of Intelligent Tracking and Forecasting for Infectious Diseases (NITFID) National Institute for Viral Disease Control and PreventionChinese Center for Disease Control and Prevention CAS Key Laboratory of Pathogen Microbiology and Immunology Institute of MicrobiologyChinese Academy of Sciences

Vector-borne viruses, transmitted among humans and animal hosts through bites of vectors such as mosquitoes and ticks,pose a great and ongoing threat to public health and biosafety(Yang et al., 2022).Among them, dengue virus-induced epidemics, have dramatically increased worldwide in recent decades. The report released by the World Health Organization(WHO) at the end of 2023 showed that dengue epidemic globally surged in2023, with the number of reported cases nearing a historical peak.

关键词：

A new proof of L^p estimates for the parabolic polyharmonic equations

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Science China Mathematics 2009年第4期52卷 749-756页

作者： YAO FengPing ZHOU shulin Department of Mathematics Shanghai UniversityShanghai 200444China LMAM School of Mathematical SciencesPeking UniversityBeijing 100871China

In this paper we obtain local Lp estimates for the parabolic polyharmonic equations by a straightforward approach.

关键词： polyharmonic parabolic L p estimates 35K25 35G05