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Distribution of a Certain Partition Function Modulo Powers of Primes

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Acta Mathematica Sinica,English Series 2011年第4期27卷 625-634页

作者： Hei-chi chan Department of Mathematical Sciences University of Illinois at Springfield Springfield IL 62703-5407 USA

in this paper, we study a certain partition function a（n） defined by ∑n≥0 a（n）qn ：= ∏n=1（1- qn）-1（1 -2n）-1. We prove that given a positive integer j 〉 1 and a prime m _〉 5, there are infinitely many congruences of the type a（An ＋ B） ≡ 0 （rood m3）. This work is inspired by Ono＇s ground breaking result in the study of the distribution of the partition function p（n）.

关键词： Distribution of partition function Ono's theorem Ramanujan's congruences

Urocortin and cardiovascular protection

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Acta Pharmacologica Sinica 2004年第3期25卷 3-11页

作者： chi-wai LAU,Yau-chi chan,Suk-ying TSANG,Franky Leung chan The chinese University of Hong Kong Hong Kong china Department of Anatomy The chinese University of Hong Kong Hong Kong china Department of Anatomy The chinese University of Hong Kong Hong Kong china Department of Anatomy The chinese University of Hong Kong Hong Kong china Department of Anatomy

Urocortin and other hypothalamus corticotropin-releasing factor (CRF) polypeptides play biologically diverse roles in the stress, cardiovascular and inflammatory responses by acting on central and peripheral CRF receptors. Urocortin shows a significantly high sequence homology to CRF, and the concurrent expression of type-2 CRF (CRF2) receptors with urocortin in the heart suggests that urocortin may play a physiological role in the cardiac function. Urocortin is thought to be the endogenous agonist producing the cardiovascular actions previously attributed to CRF. This review highlights the current novel findings on the molecular and cellular mechanisms by which urocortin may exert its cardiovascular protective action.

关键词： urocortin corticotropin-releasing hormone vascular smooth muscle heart vasodilaion second messenger system protein kinases

Global collaboration of eye research--personal experience

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international Journal of Ophthalmology(English edition) 2024年第6期17卷 985-990页

作者： chi-Chao chan Laboratory of immunology National Eye InstituteNational Institutes of HealthBethesdaMD 20892-1858USA Zhongshan Ophthalmic Center Sun Yat-sen UniversityGuangzhou 5410060Guangdong ProvinceChina

On December 9,2023,i was privileged to be honored and participate in the *** Chao chan Symposium on Global Collaboration of Eye Research as the Global Eye Genetic Consortium(GEGC)session,which was held in the 16th Congress of the Asia-Pacific Vitreo-Retina Society(APVRS)in Hong *** with my talk on“Global collaboration of eye research:personal experience”,other prominent international speakers provided their own perspectives on opportunities for networking,collaboration,and exchange of ideas with global leaders and experts in ophthalmic practice,research,and education.

关键词： speakers collaboration Global

Successful capture of red thrombus in acute inferior ST-elevation myocardial infarction

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Journal of Geriatric Cardiology 2018年第10期15卷 647-648页

作者： Wai-Kin chi chi-Yuen chan Division of Cardiology Department of Medicine and TherapeuticsPrince of Wales Hospitalthe Chinese University of Hong KongHong KongChina

A 50-year-old gentleman with past medical history of hypertension presented with acute inferior ST-segment elevation myocardial infarction (STEMi).He complained severe chest pain despite onset time was more than *** p... 详细信息

关键词： Embolic protection device Successful capture Thrombus

interplay of laser power and pore characteristics in selective laser melting of ZK60 magnesium alloys:A study based on in-situ monitoring and image analysis

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Journal of Magnesium and Alloys 2024年第4期12卷 1346-1366页

作者： Weijie Xie Hau-Chung Man chi-Wai chan Department of industrial and Systems Engineering The Hong Kong Polytechnic UniversityHong KongChina School of Mechanical and Aerospace Engineering Queen’s UniversityBelfast BT95AHUK Research institute for Advanced Manufacturing The Hong Kong Polytechnic UniversityHong KongChina

This study offers significant insights into the multi-physics phenomena of the SLM process and the subsequent porosity characteristics of ZK60 Magnesium(Mg)***-speed in-situ monitoring was employed to visualise process signals in real-time,elucidating the dynamics of melt pools and vapour plumes under varying laser power conditions specifically between 40 W and 60 *** morphological analysis was performed using Scanning-Electron Microscopy(SEM),demonstrating a critical correlation between laser power and pore *** laser power led to increased pore coverage,whereas a denser structure was observed at higher laser *** laser power influence on porosity was further confirmed via Optical Microscopy(OM)conducted on both top and cross-sectional surfaces of the *** increase in laser power resulted in a decrease in pore coverage and pore size,potentially leading to a denser printed part of Mg alloy.X-ray Computed Tomography(XCT)augmented these findings by providing a 3D volumetric representation of the sample internal structure,revealing an inverse relationship between laser power and overall pore *** laser power appeared to favour the formation of interconnected pores,while a reduction in interconnected pores and an increase in isolated pores were observed at higher *** interplay between melt pool size,vapour plume effects,and laser power was found to significantly influence the resulting porosity,indicating a need for effective management of these factors to optimise the SLM process of Mg alloys.

关键词： Selective laser melting(SLM) Magnesium(Mg)alloys Biodegradable implants Porosity in-situ monitoring

Current status of associating liver partition with portal vein ligation for staged hepatectomy: Comparison with two-stage hepatectomy and strategies for better outcomes

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World Journal of Gastroenterology 2019年第43期25卷 6373-6385页

作者： Kin Pan Au Albert chi Yan chan Department of Surgery Queen Mary HospitalHong KongChina Department of Surgery and State Key Laboratory for Liver Research The University of Hong KongHong KongChina

Since its introduction in 2012,associating liver partition with portal vein ligation for staged hepatectomy(ALPPS)has significantly expanded the pool of candidates for liver *** offers patients with insufficient liver function a chance of a *** is most controversial when its high morbidity and mortality is *** mortality is usually a result of posthepatectomy liver failure and can be minimized with careful patient *** patients have limited reserve for tolerating the demanding *** with colorectal liver metastasis have normal liver and are ideal *** for cholangiocarcinoma is technically challenging and associated with fair *** with hepatocellular carcinoma have chronic liver disease and limited parenchymal ***,in selected patients with limited hepatic fibrosis satisfactory outcomes have been *** the inter-stage period,serum bilirubin and creatinine level and presence of surgical complication predict mortality after stage *** growth rate and hepatobiliary scintigraphy also guide the decision whether to postpone or omit stage ii *** outcomes of ALPPS have been improved by a combination of technical *** patients with challenging anatomy,partial ALPPS potentially reduces morbidity,but remnant hypertrophy may compare unfavorably to a complete *** compared to conventional two-stage hepatectomy with portal vein embolization or portal vein ligation,ALPPS offers a higher resection rate for colorectal liver metastasis without increased morbidity or *** ALPPS has obvious theoretical oncological advantages over two-stage hepatectomy,the long-term outcomes are yet to be determined.

关键词： Associating liver partition with portal vein ligation for staged hepatectomy Two-stage hepatectomy Patient selection Surgical outcomes

7,8-dihydroxyflavone,a small molecular TrkB agonist,is useful for treating various BDNF-implicated human disorders

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Translational Neurodegeneration 2016年第1期5卷 9-17页

作者： Chaoyang Liu chi Bun chan Keqiang Ye School of information and Safety Engineering Zhongnan University of Economics and LawWuhan 430073P.R.China Department of Physiology University of Oklahoma Health Sciences Center940 Stanton L.Young Blvd.Oklahoma CityOK 73104USA Department of Pathology and Laboratory Medicine Emory University School of Medicine615 Michael StreetAtlantaGA 30322USA

Brain-derived neurotrophic factor(BDNF)regulates a variety of biological processes predominantly via binding to the transmembrane receptor tyrosine kinase *** is a potential therapeutic target in numerous neurological,mental and metabolic ***,the lack of efficient means to deliver BDNF into the body imposes an insurmountable hurdle to its clinical *** address this challenge,we initiated a cell-based drug screening to search for small molecules that act as the TrkB agonist.7,8-Dihydroxyflavone(7,8-DHF)is our first reported small molecular TrkB agonist,which has now been extensively validated in various biochemical and cellular *** binding to the extracellular domain of TrkB,7,8-DHF triggers TrkB dimerization to induce the downstream ***,7,8-DHF is orally bioactive that can penetrate the brain blood barrier(BBB)to exert its neurotrophic activities in the central nervous *** reports suggest 7,8-DHF processes promising therapeutic efficacy in various animal disease models that are related to deficient BDNF *** this review,we summarize our current knowledge on the binding activity and specificity,structure-activity relationship,pharmacokinetic and metabolism,and the pre-clinical efficacy of 7,8-DHF against some human diseases.

关键词： Flavonoids Neurotrophin BDNF Mimetic compound Receptor agonistic activity

The Basal Level Ethylene Response is important to the Wall and Endomembrane Structure in the Hypocotyl Cells of Etiolated Arabidopsis Seedlings

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Journal of integrative Plant Biology 2012年第7期54卷 434-455页

作者： chan Xu Xiaoyan Gao Xiaobin Sun chi-Kuang Wen National KeyLaboratory of Plant Molecular Genetics and National Center for Plant Gene Research(Shanghai) Institute of Plant Physiology and EcologyShanghai Institutes for Biological SciencesChinese Academy of Sciences300 Fenglin RdShanghai 200032China Shanghai Applied Protein Technology ShanghaiChina

The sub-cellular events that occur during the ethylene-modulated cell elongation were characterized by examining the ultra-structure of etiolated Arabidopsis seedling hypocotyl cells. Preventing the basal level ethylene response facilitated cell elongation, and the cells exhibited wall loosening and separation phenotype. Nearby the wall separation sites were frequently associated with an increase in the cortical rough endoplasmic reticulum （rER） membranes, the presence of paramural bodies, and the circular Golgi formation. The cortical rER proliferation and circular Golgi phenotype were reverted by the protein biosynthesis inhibitor cycloheximide. The cortical rER membranes were longer when the ethylene response was prevented and shortened with elevated ethylene responses. Proteomic changes between wild type and the ethylene-insensitive mutant ethylene insensitive2 （ein2） seedling hypocotyls indicated that distinct subsets of proteins involving endomembrane trafficking, remodeling, and wall modifications were differentially expressed. FM4-64 staining supported the proteomic changes, which indicated reduced endocytosis activity with alleviation of the ethylene response. The basal level ethylene response has an important role in endomembrane trafficking, biological materials transport and maintenance of the endomembrane organization. it is possible that endomembrane alterations may partly associate with the wall modifications, though the biological significance of the alterations should be addressed in future studies.

关键词： ER proliferation cell walls circular Golgi endomembrane trafficking ethylene.

Sensitivity of precipitation statistics to urban growth in a subtropical coastal megacity cluster

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Journal of Environmental Sciences 2017年第9期29卷 6-12页

作者： Christopher Claus Holst Johnny C.L.chan chi-Yung Tam School of Energy and Enuironment City Uniuersity of liong KongHong KongChina Guy Carpenter Asia-Pacific Climate impact Centre City Uniuersity of Hong KongHong KongChina Earth System Science Programme The Chinese Uniuersity of Hong KongHong KongChina

This short paper presents an investigation on how human activities may or may not affect precipitation based on numerical simulations of precipitation in a benchmark case with modified lower boundary conditions, representing different stages of urban development in the model. The results indicate that certain degrees of urbanization affect the likelihood of heavy precipitation significantly, while less urbanized or smaller cities are much less prone to these effects. Such a result can be explained based on our previous work where the sensitivity of precipitation statistics to surface anthropogenic heat sources lies in the generation of buoyancy and turbulence in the planetary boundary layer and dissipation through triggering of convection. Thus only mega cities of sufficient size, and hence human-activity-related anthropogenic heat emission, can expect to experience such effects. in other words, as cities grow, their effects upon precipitation appear to grow as well.

关键词： Urban precipitation Micro climate sensitivity Urbanization