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Acta Mathematica Sinica,English Series 2011年第8期27卷 1621-1636页

作者： xiu mei hou Wuhan Bioengineering Institute Wuhan 430415 P. R. China Department of Mathematics Sun Yat-Sen University Guangzhou 510275 P. R. China

In this paper we study well-posedness and asymptotic behavior of solution of a free boundary problem modeling the growth of multi-layer tumors under the action of an external inhibitor. We first prove that this problem is locally well-posed i[n little H61der spaces. Next we investigate asymptotic behavior of the solution. By computing the spectrum of the linearized problem and using the linearized stability theorem, we give the rigorous analysis of stability and instability of all stationary fiat solutions under the non-fiat perturbations. The method used in proving these results is first to reduce the free boundary problem to a differential equation in a Banach space, and next use the abstract well-posedness and geometric theory for parabolic differential equations in Banach spaces to make the analysis.

关键词： Free boundary problem multi-layer tumor inhibitor well-posedness asymptotic behavior

Well-posedness and Stability for an Elliptic-parabolic Free Boundary Problem Modeling the Growth of Multi-layer Tumors

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Acta Mathematicae Applicatae Sinica 2009年第4期25卷 547-560页

作者： xiu-mei hou Shang-bin Cui Department of Mathematics Sun Yat-sen University Guangzhou 510275 China

In this paper we study a free boundary problem modeling the growth of multi-layer tumors. This free boundary problem contains one parabolic equation and one elliptic equation, defined on an unbounded domain in R2 of the form 0 〈 y 〈p（x,t）, where p（x,t） is an unknown function. Unlike previous works on this tumor model where unknown functions are assumed to be periodic and only elliptic equations are evolved in the model, in this paper we consider the case where unknown functions are not periodic functions and both elliptic and parabolic equations appear in the model. It turns out that this problem is more difficult to analyze rigorously. We first prove that this problem is locally well-posed in little H61der spaces. Next we investigate asymptotic behavior of the solution. By using the principle of linearized stability, we prove that if the surface tension coefficient y is larger than a threshold value y〉0, then the unique flat equilibrium is asymptotically stable provided that the constant c representing the ratio between the nutrient diffusion time and the tumor-cell doubling time is sufficiently small.

关键词： Free boundary problem multi-layer tumors well-posedness asymptotic behavior

Multi-model ensemble learning for battery state-of-health estimation:Recent advances and perspectives

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Journal of Energy Chemistry 2025年第1期100卷 739-759页

作者： Chuanping Lin Jun Xu Delong Jiang Jiayang hou Ying Liang Zhongyue Zou Xuesong mei State Key Laboratory for Manufacturing Systems Engineering Xi'an Jiaotong University Shaanxi Key Laboratory of Intelligent Robots School of Mechanical Engineering Xi'an Jiaotong University Department of Electrical Engineering and Automation Luoyang Institute of Science and Technology School of Mechanical Engineering Hangzhou Dianzi University

The burgeoning market for lithium-ion batteries has stimulated a growing need for more reliable battery performance monitoring. Accurate state-of-health(SOH) estimation is critical for ensuring battery operational performance. Despite numerous data-driven methods reported in existing research for battery SOH estimation, these methods often exhibit inconsistent performance across different application scenarios. To address this issue and overcome the performance limitations of individual data-driven models,integrating multiple models for SOH estimation has received considerable attention. Ensemble learning(EL) typically leverages the strengths of multiple base models to achieve more robust and accurate outputs. However, the lack of a clear review of current research hinders the further development of ensemble methods in SOH estimation. Therefore, this paper comprehensively reviews multi-model ensemble learning methods for battery SOH estimation. First, existing ensemble methods are systematically categorized into 6 classes based on their combination strategies. Different realizations and underlying connections are meticulously analyzed for each category of EL methods, highlighting distinctions, innovations, and typical applications. Subsequently, these ensemble methods are comprehensively compared in terms of base models, combination strategies, and publication trends. Evaluations across 6 dimensions underscore the outstanding performance of stacking-based ensemble methods. Following this, these ensemble methods are further inspected from the perspectives of weighted ensemble and diversity, aiming to inspire potential approaches for enhancing ensemble performance. Moreover, addressing challenges such as base model selection, measuring model robustness and uncertainty, and interpretability of ensemble models in practical applications is emphasized. Finally, future research prospects are outlined, specifically noting that deep learning ensemble is poised to advance ens

关键词： Lithium-ion battery State-of-health estimation Data-driven Machine learning Ensemble learning Ensemble diversity

Plasmonic tandem heterojunctions enable high-efficiency charge transfer for broad spectrum photocatalytic hydrogen production

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Journal of Energy Chemistry 2025年第1期100卷 710-720页

作者： Wenxuan Chen xiu-Qing Qiao Guo Hui Bojing Sun Dongfang hou meidi Wang Xueqian Wu Tao Wu Dong-Sheng Li College of Materials and Chemical Engineering Key Laboratory of Inorganic Nonmetallic Crystalline and Energy Conversion Materials China Three Gorges University Hubei Three Gorges Laboratory College of Chemistry and Materials Science and Guangdong Provincial Key Laboratory of Supramolecular Coordination Chemistry Jinan University

Rational engineering of semiconductor photocatalysts for efficient hydrogen production is of great significance but still challenging,primarily due to the limitations in charge transfer ***,a fascinating plasmonic tandem heterojunction with the hc-CdS/Mo2C@C heterostructure is aimfully prepared for effectively promoting the charge separation kinetics of the CdS photocatalyst via the synergistic strategy of phase junction,Schottky junction,and photothermal *** difference in atomic configuration between cubic-CdS （c-CdS） and hexagonal-CdS （h-CdS） leads to effective charge separation through a typical Ⅱ charge transfer mechanism,and plasmonic Schottky junction further extracts the electrons in the hc-CdS phase junction to realize gradient charge ***,the photothermal effect of Mo2C@C helps to expand the light absorption,accelerate charge transfer kinetics,and reduce the hydrogen evolution energy *** carbon layer provides a fast channel for charge transfer and protects the photocatalyst from *** a result,the optimized hc-CMC photocatalyst exhibits a significantly high photocatalytic H2production activity of 28.63 mmol/g/h and apparent quantum efficiency of 61.8%,surpassing most of the reported *** study provides a feasible strategy to enhance the charge transfer kinetics and photocatalytic activity of CdS by constructing plasmonic tandem heterogeneous junctions.

关键词： Heterojunctions LSPR Photocatalyst Phase junction Schottky junction Photothermal effect

Application of multidisciplinary collaborative nursing with family care for enhanced recovery after surgery in children with inguinal hernia

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World Journal of Gastrointestinal Surgery 2023年第9期15卷 1932-1940页

作者： xiu-mei Wang Qiang hou Department of Pediatric Surgery The Second Affiliated Hospital of Shandong First Medical UniversityTaian 271000Shandong ProvinceChina Department of Burns The Second Affiliated Hospital of Shandong First Medical UniversityTaian 271000Shandong ProvinceChina

BACKGROUND Perioperative nursing can reduce the stress reaction and improve the prognosis of *** To elucidate the influence of multidisciplinary collaborative nursing for enhanced recovery after surgery(ERAS)with family care in perioperative nursing children with an inguinal hernia and its impact on the *** The data of 100 children with inguinal hernia were retrospectively *** participants were divided into three groups according to different nursing methods:Groups A(n=38),B(n=32),and C(n=30).Group A received multidisciplinary collaborative ERAS nursing combined with family care nursing;Group B received multidisciplinary collaborative nursing for ERAS;and Group C received routine *** postoperative recovery results of the three groups were compared,including intraoperative blood loss and postoperative feeding time,time of getting out of bed,hospitalization time,and defecation ***,the incidence of common complications was also compared between the three *** There was less intraoperative blood loss in Groups A and B than in Group C(P0.05).Each index had no statistical significance between Groups A and B(P>0.05).The incidence of urinary retention,infection,hematoma,and hernia recurrence in Group A was less than that in Group C(P0.05).CONCLUSION The application of multidisciplinary collaborative nursing combined with family care in the perioperative care of children with an inguinal hernia for ERAS may promote postoperative rehabilitation for children and reduce the incidence of complications.

关键词： Multidisciplinary collaborative Enhanced recovery after surgery Family care Perioperative nursing Prognosis Postoperative complications

新型抗癫痫发作药物吡仑帕奈添加治疗0~18岁儿童难治性癫痫的临床观察研究

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中国全科医学 2025年第2期28卷 250-256页

作者：马湖萍任蓉侯梅苑爱云青岛大学附属妇女儿童医院神经康复科山东省青岛市266034 山东省潍坊市寿光市人民医院新生儿科 262700

背景目前儿童难治性癫痫(RE)仍是癫痫的治疗难点,国内吡仑帕奈(PER)治疗儿童RE尚属新药,缺少PER对儿童RE添加治疗的建议,且国内报道中使用PER治疗的RE患儿样本量较少。因此PER对于儿童RE,尤其低年龄RE患儿的疗效仍需大样本、进一步研究... 详细信息

背景目前儿童难治性癫痫(RE)仍是癫痫的治疗难点,国内吡仑帕奈(PER)治疗儿童RE尚属新药,缺少PER对儿童RE添加治疗的建议,且国内报道中使用PER治疗的RE患儿样本量较少。因此PER对于儿童RE,尤其低年龄RE患儿的疗效仍需大样本、进一步研究。目的探究PER添加治疗儿童RE的疗效、可能的适应证、不良反应及耐受性。方法对2022年1月—2023年1月在青岛大学附属妇女儿童医院诊治的0~18岁RE患儿进行自身对照、回顾性分析,对比PER添加治疗前后不同观察时点的癫痫发作频率的变化,评估PER的治疗效果,记录药物不良反应及药物保留率,并分析PER有效组与无效组的临床特征。结果共纳入192例研究对象,PER添加治疗后,第12、24、36周的有效率分别为56.3%(108/192)、62.1%(113/182)、69.7%(122/175),无发作率分别为19.3%(37/192)、21.4%(39/182)、24.6%(43/175)。不良反应发生率为16.1%(31/192),主要为头晕、暴躁易怒、无力嗜睡等,末次随访药物保留率为91.1%(175/192)。PER添加治疗的RE患儿连续用药12周时,治疗总有效与无效/恶化患儿起病年龄、抗癫痫治疗病程、起源类型、发作形式、添加PER前发作频率、联合其他抗癫痫发作药物(ASMs)数量、生酮饮食/外科治疗情况,差异有统计学意义(P<0.05)。此外,178例患儿进行了脑电图检查,167例患儿进行了头颅磁共振检查;治疗总有效与无效/恶化患儿脑电图检查结果、头颅磁共振检查结果比较,差异有统计学意义(P<0.05)。脑电图检查结果中以脑前部(前、中、颞前、中部)放电总有效占比较高;头颅影像学检查结果中以正常者总有效占比较高,其次为以脑白质损伤为主的患儿。结论PER添加治疗儿童RE整体有效率及保留率较高,不良反应轻微,药物耐受情况好。对于起病年龄晚、发作形式为运动性发作、局灶性起源、抗癫痫治疗病程短、联合用药数量及发作频率少的RE患儿更为有效。脑电图中以脑前部(前、中、颞前、颞中部)放电、头颅磁共振结果正常者总有效占比较高。

关键词：难治性癫痫儿童吡仑帕奈治疗结果药物不良反应

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FULL DISCRETE TWO-LEVEL CORRECTION SCHEME FOR NAVIER-STOKES EQUATIONS

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Journal of Computational Mathematics 2008年第2期26卷 209-226页

作者： Yanren hou Liquan mei College of Science Xi'an Jiaotong University Xi'an 710049 China

In this paper, a full discrete two-level scheme for the unsteady Navier-Stokes equations based on a time dependent projection approach is proposed. In the sense of the new projection and its related space splitting, non-linearity is treated only on the coarse level subspace at each time step by solving exactly the standard Galerkin equation while a linear equation has to be solved on the fine level subspace to get the final approximation at this time step. Thus, it is a two-level based correction scheme for the standard Galerkin approximation. Stability and error estimate for this scheme are investigated in the paper.

关键词： Two-level method Galerkin approximation Correction Navier-Stokes equation

Additive Maps Preserving Similarity of Operators on Banach Spaces

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Acta Mathematica Sinica,English Series 2006年第1期22卷 179-186页

作者： Jin Chuan hou xiu Ling ZHANG Department of Mathematics Shanxi Teachers University Linfen 041004 P R. China

Let X be an infinite-dimensional complex Banach space and denote by B（X） the algebra of all bounded linear operators acting on X. It is shown that a surjective additive map Φ from B（X） onto itself preserves similarity in both directions if and only if there exist a scalar c, a bounded invertible linear or conjugate linear operator A and a similarity invariant additive functional ψ on B（X） such that either Φ（T） = cATA^-1 ＋ ψ（T）I for all T, or Φ（T） = cAT＊A^-1 ＋ ψ（T）I for all T. In the case where X has infinite multiplicity, in particular, when X is an infinite-dimensional Hilbert space, the above similarity invariant additive functional ψ is always zero.

关键词： Additive maps on operator algebras Similarity of operators Banach spaces

Theoretical analysis and numerical simulation of acoustic waves in gas hydrate-bearing sediments

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Chinese Physics B 2021年第2期30卷 344-354页

作者： Lin Liu xiu-mei Zhang xiu-Ming Wang State Key Laboratory of Acoustics Institute of AcousticsChinese Academy of SciencesBeijing 100190China University of Chinese Academy of Sciences Beijing 100149China Beijing Engineering Research Center of Sea Deep Drilling and Exploration Institute of AcousticsChinese Academy of SciencesBeijing 100190China

Based on Carcione-Leclaire model,the time-splitting high-order staggered-grid finite-difference algorithm is proposed and constructed for understanding wave propagation mechanisms in gas hydrate-bearing *** compressional waves and two shear waves,as well as their energy distributions are investigated in *** particular,the influences of the friction coefficient between solid grains and gas hydrate and the viscosity of pore fluid on wave propagation are *** results show that our proposed numerical simulation algorithm proposed in this paper can effectively solve the problem of stiffness in the velocity-stress equations and suppress the grid dispersion,resulting in higher accuracy compared with the result of the Fourier pseudospectral method used by *** excitation mechanisms of the five wave modes are clearly revealed by the results of ***,it is pointed that,the wave diffusion of the second kind of compressional and shear waves is influenced by the friction coefficient between solid grains and gas hydrate,while the diffusion of the third compressional wave is controlled by the fluid ***,two fluid-solid(gas-hydrate formation)models are constructed to study the mode conversion of various *** results show that the reflection,transmission,and transformation of various waves occur on the interface,forming a very complicated wave field,and the energy distribution of various converted waves in different phases is *** is demonstrated from our studies that,the unconventional waves,such as the second and third kinds of compressional waves may be converted into conventional waves on an *** propagation mechanisms provide a concrete wave attenuation explanation in inhomogeneous media.

关键词： gas hydrate-bearing sediments Carcione-Leclaire model time-splitting staggered-grid finite-difference slow-wave characteristics

Problems of antiplane strain of electrically permeable cracks between bonded dissimilar piezoelectric materials

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Chinese Science Bulletin 1998年第4期43卷 341-345页

作者： hou Mishan mei Fuliang Univ Petr Dongying 257062 Peoples R China

The electrically permeable slit crack within a piezoelectric body is treated as a bonded interface in electrostatics. The electric boundary conditions along the interface should be the continuity of the tangent component of the electric field strength and the normal component of the electric displacement. Using such boundary conditions, the problems of antiplane strain of collinear cracks between bonded dissimilar piezoelectric materials are exactly analyzed. Solutions of the complex potentials in a closed form are given for a single and two interface cracks. It is shown from the solutions that the stress, strain, electric field strength and electric displacement have (1/2) type of singularity at the crack tip, and the energy release rate for crack propagation depends only on both stress intensity factor and strain intensity factor.

关键词： piezoelectric material interface cracks antiplane strain intensity factor energy release rate.