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ASYMPTOTIC EQUIVALENCE OF ALTERNATELY ADVANCED AND DELAYED DIFFERENTIAL SYSTEMS WITH PIECEWISE CONSTANT GENERALIZED ARGUMENTS

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Acta Mathematica Scientia 2018年第1期38卷 220-236页

作者： kuo-shou chiu departamento de matemática facultad de ciencias básicas universidad metropolitana de ciencias de la educación Jose Pedro Alessandri 774 Santiago Chile

In this paper, we investigate the existence, uniqueness and the asymptotic equiv- alence of a linear system and a perturbed system of differential equations with piecewise alternately advanced and retarded argument of generalized type （DEPCAG）. This is based in the study of an equivalent integral equation with Cauchy and Green matrices type and in a solution of a DEPCAG integral inequality of Gronwall type. Several examples are also given to show the feasibility of results.

关键词： piecewise constant argument of generalized type hybrid equations equivalence asymptotic behavior Gronwall's inequality

Variation of Parameters Formula and Gronwall Inequality for Differential Equations with a General Piecewise Constant Argument

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Acta Mathematicae Applicatae Sinica 2011年第4期27卷 561-568页

作者： kuo-shou chiu Manuel PINTO Departamento de Matemótica Facultad de Ciencias BósicasUniversidad Metropolitana de Ciencias de la EducacinJ.P.Alessandri 774SantiagoChile Departamento de Matemóticas Facultad de CienciasUniversidad de ChileCasilla 653SantiagoChile

A variation of parameters formula and Gronwall type integral inequality are proved for a differential equation involving general piecewise alternately advanced and retarded argument.

关键词： variation of parameters formula Gronwall integral inequality alternately advanced and retarded argument

On generalized impulsive piecewise constant delay differential equations

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Science China Mathematics 2015年第9期58卷 1981-2002页

作者： chiu kuo-shou Departamento de Matemtica Facultad de Ciencias Bsicas Universidad Metropolitana de Ciencias de la Educación

A variation of parameters formula with Green function type and Gronwall type integral inequality are proved for impulsive differential equations involving piecewise constant delay of generalized type. Some results for piecewise constant linear and nonlinear delay differential equations with impulsive effects are *** include existence and uniqueness theorems, a variation of parameters formula, integral inequalities, the oscillation property and some applications.

关键词： impulsive differential equation piecewise constant delay of generalized type variation of parameters formula Gronwall integral i

APPLYING PARTICLE SWARM OPTIMIZATION AND HONEY BEE MATING OPTIMIZATION IN DEVELOPING AN INTELLIGENT MARKET SEGMENTATION SYSTEM

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Journal of Systems Science and Systems Engineering 2010年第2期19卷 182-191页

作者： Chui-Yu chiu I-Ting kuo Department of Industrial Engineering and Management National Taipei University of Technology

Data mining has been successfully applied in many fields to find useful information stored in vast databases. Market segmentation, which segments data into homogenous clusters by using cluster analysis, is among the most important of the applications in data mining. In this study, we propose a clustering system which integrates particle swarm optimization and honey bee mating optimization methods （PSHBMO）. Simulations for a benchmark test function show that our proposed method is better equipped to find the global optimum than other well-known clustering algorithms. Finally, the proposed clustering system is applied to a real-world consumer electronic company to perform market segmentation via the RFM model.

关键词： Market segmentation particle swarm optimization honey bee mating optimization

Estimation of Water Particle Velocities by Empirical Transfer Function

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China Ocean Engineering 1997年第4期12卷 393-410页

作者： chiu, YF kuo, YY Inst Harbor & Marine Technol Wuchi Coastal Engn Div Taichung Taiwan Natl Chiao Tung Univ Dept Civil Engn Hsinchu Taiwan

In previous and this studies it appears that the linear and nonlinear wave theory-can not accurately and easily predict the water particle velocities: Therefore, different from the theoretical considerations, in this study we have attempted to determine the transfer function empirically. Laboratory experiments were performed under various wave conditions. The empirical formulas of the transfer function of the wave height, angular frequency and water particle velocity were obtained on the basis of these test data by dimensional analysis and regression analysis. In intermediate and deep water depth conditions, the transfer function was only a function of a nondimensional parameter which is composed of the angular frequency, the depth of the velocity gauge under the still water level, water depth and the acceleration of gravity. Finally, the empirical formulas were compared with experimental data and observational data form present and Cavaleri's (1978) studies. The empirical formulas were found to be in sufficient correltion with these data.

关键词： water particle velocity empirical transfer function

Effect of Butyl α-Hydroxymethyl Acrylate Monomer Structure on the Morphology Produced via Aqueous Emulsion Polymerization-induced Self-assembly

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Chinese Journal of Polymer Science 2020年第1期38卷 9-16,I0005页

作者： shou-kuo Man Xiao Wang Jin-Wen Zheng Ze-Sheng An Institute of Nanochemistry and Nanobiology College of Environmental and Chemical EngineeringShanghai UniversityShanghai200444China State Key Laboratory of Supramolecular Structure and Materials College of ChemistryJilin UniversityChangchun 130012China

Polymerization-induced self-assembly(PISA) is an efficient and versatile method to afford polymeric nano-objects with polymorphic morphologies. Compared to dispersion PISA syntheses based on soluble monomers, the vast majority of emulsion PISA formulations using insoluble monomers leads to kinetically-trapped spheres. Herein, we present aqueous emulsion PISA formulations generating worms and vesicles besides spheres. Two monomers with different butyl groups, n-butyl(n BHMA) and tert-butyl(t BHMA) α-hydroxymethyl acrylate, and thus possessing different water solubilities were synthesized via Baylis-Hillman reaction. Photoinitiated aqueous emulsion polymerizations of n BHMA and t BHMA employing poly(ethylene glycol) macromolecular chain transfer agents(macro-CTAs, PEG45-CTA, and PEG113-CTA) at 40 °C were systematically investigated to evaluate the effect of monomer structure and solubility on the morphology of the generated block copolymer nano-objects. Higher order morphologies including worms and vesicles were readily accessed for t BHMA, which has a higher water solubility than that of n BHMA. This study proves that plasticization of the core-forming block by water plays a key role in enhancing chain mobility required for morphological transition in emulsion PISA.

关键词： Block copolymer α-Hydroxymethyl acrylate RAFT emulsion polymerization Polymerization-induced self-assembly

Simple zero property of some holomorphic functions on the moduli space of tori

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Science China Mathematics 2019年第11期62卷 2089-2102页

作者： Zhijie Chen Ting-Jung kuo Chang-shou Lin Department of Mathematical Sciences and Yau Mathematical Sciences Center Tsinghua UniversityBeijing 100084China Department of Mathematics Taiwan Normal UniversityTaipei 11677China Taida Institute for Mathematical Sciences(TIMS) Center for Advanced Study in Theoretical Sciences(CASTS)Taiwan UniversityTaipei 10617China

We prove that some holomorphic functions on the moduli space of tori have only simple *** of computing the derivative with respect to the moduli parameter τ, we introduce a conceptual proof by applying Painlevé Ⅵ equation. As an application of this simple zero property, we obtain the smoothness of the degeneracy curves of trivial critical points for some multiple Green function.

关键词： simple zero property Painlevé Ⅵ equation Green function

Antitumor activity of a novel bis-aziridinylnaphthoquinone (AZ4) mediating cell cycle arrest and apoptosis in non-small cell lung cancer cell line NCl-H460

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Acta Pharmacologica Sinica 2007年第4期28卷 559-566页

作者： Kou-gea SHYU Hsien-shou kuo Yuh-ling LIN Division of Cardiac Shin Kong Wu Ho-Su Memorial HospitalTaipei 106TaiwanChina Department of Biochemistry Taipei Medical UniversityTaipei City 110TaiwanChina Department of Medicine Fu-Jen Catholic UniversityHsin-ChuangTaipei Hsien 242TaiwanChina

Aim:The cytotoxic activities of a series of bis-aziridinylnaphthoquinone,AZ1 toAZ4,on human lung carcinoma cell lines,H460,and normal lung cells fibroblastcell line,MRC-5,and the mechanisms of H460 cells induced by AZ4 ***:The MTT assay was used to determine the *** cycle was analysed by *** activity of caspase 3,8 and 9was determined by cell-permeable fluorogenic detection *** blotassay was used to evaluate the regulation of cyclin B,Cdc-2,p53,p21,and the Bcl-2 ***:AZ1 to AZ4 displayed various cytotoxicity activities againstH460 and MRC-5 *** to those compounds,AZ4 was with the mosteffective agent among the 5 tested analogues at reducing H460 cell viability with anIC50value of 1.23 μmol/L;it also exhibited weak cytotoxicity against MRC-5 cells withan IC50value of 12.7 μmol/*** results show that growth arrest on the G2-M phaseof H460 cells induced by AZ4 for 24 h was discovered,and this might be alteredwith the reduced Cdc-2 protein expression of 47% at 2.0 μmol/L AZ4,but not withcyclin B protein *** AZ4 treated cells were then led to apoptosis after48 *** was associated with the activation of apoptotic enzyme caspase 3 andmediated by caspase 8,but not caspase 9 at various concentrations of AZ4 afterbeing cultured for 48 h and 30 h,*** anti-apoptotic protein （Bcl-2）expression in H460 cells altered by 39% with downregulation,and the p53 proteinby 25% with upregulation after being cultured with 2.0 μmol/L AZ4 for 48 *** atime-dependent wanrer,the expression of the p53 and p21 proteins were increasedto the maximum at 24 h,and then decreased at ***:AZ4 represents anovel antitumor aziridinylnaphthoquinone with therapeutic potential against thenon-small cell lung cancer cells.

关键词： cell cycle apoptosis Bcl-2 protein aziridinylnaphthoquinone

Malignant pleural mesothelioma mimics thoracic empyema: A case report

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World Journal of Clinical Cases 2023年第35期11卷 8372-8378页

作者： Ya-Hsin Yao Yen-shou kuo Department of General Medicine Tri-Service General HospitalNational Defense Medical CenterTaipei 114202Taiwan Division of Thoracic Surgery Department of SurgeryTri-Service General HospitalNational Defense Medical CenterTaipei 114202Taiwan

BACKGROUND Thoracic empyema and malignant pleural mesothelioma(MPM)are distinct medical conditions with similar symptoms,including cough,chest pain,and breathing *** present a rare MPM case mimicking thoracic *** must consider MPM risks for patients exposed to building material who exhibit lobulated pleural effusions,indicating thoracic *** SUMMARY A 68-year-old retired male construction worker suffered from shortness of breath and chest tightness over 10 d,particularly during physical activity.A poor appetite and 4 kg weight loss over the past 3 wk were also *** images and laboratory data concluded a tentative impression of empyema thoracis(right).Video-assisted thoracic surgery with decortication and delobulation(right)was *** pathological report yielded an MPM *** pleural bilateral effusions and respiratory failure developed postoperatively,and the patient died three weeks after the *** Thoracic empyema and MPM are distinct medical conditions that can present similar symptoms,and video-assisted thoracic surgery facilitates an accurate ***-mimicking presentations and postoperative refractory pleural effusion may indicate a poor MPM outcome.

关键词： Thoracic empyema Malignant pleural mesothelioma Video-assisted thoracic surgery Case report