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Section extension from hyperbolic geometry of punctured disk and holomorphic family of flat bundles

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Science china Mathematics 2011年第8期54卷 1767-1802页

作者： siu Yum-Tong Department of Mathematics Harvard University

The construction of sections of bundles with prescribed jet values plays a fundamental role in problems of algebraic and complex *** the jet values are prescribed on a positive dimensional subvariety,it is handled by theorems of Ohsawa-Takegoshi type which give extension of line bundle valued square-integrable top-degree holomorphic forms from the fiber at the origin of a family of complex manifolds over the open unit 1-disk when the curvature of the metric of line bundle is *** prove here an extension result when the curvature of the line bundle is only semipositive on each fiber with negativity on the total space assumed bounded from below and the connection of the metric locally bounded,if a square-integrable extension is known to be possible over a double point at the *** is a Hensel-lemma-type result analogous to Artin's application of the generalized implicit function theorem to the theory of obstruction in deformation *** motivation is the need in the abundance conjecture to construct pluricanonical sections from flatly twisted pluricanonical *** also give here a new approach to the original theorem of Ohsawa-Takegoshi by using the hyperbolic geometry of the punctured open unit 1-disk to reduce the original theorem of OhsawaTakegoshi to a simple application of the standard method of constructing holomorphic functions by solving the  equation with cut-off functions and additional blowup weight functions.

关键词：  estimate Ohsawa-Takegoshi extension hyperbolic geometry of punctured disk flatly twisted pluricanoincal section Gelfond-Schneider technique

Comparison of ocular biometry in chinese patients using two swept-source optical coherence tomography devices

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Annals of Eye Science 2023年第3期8卷 59-69页

作者： Vivian Wing-Man Ho Hong chau nguyen siu-Hong Wong Anita Lai-wah Li Kenneth Kai Wang Li Department of Ophthalmology United Christian HospitalKwun TongHong Kong SARChina Department of Ophthalmology Tseung Kwan O HospitalHong Kong SARChina Department of Ophthalmology School of Clinical MedicineLKS Faculty of MedicineThe University of Hong KongHong Kong SARChina

Background:To compare two swept-source optical coherence tomography(SS-OCT)biometers,IOLMaster 700 and ***:This is a retrospective *** measurements of cataract patients performed between March and July 2021 in the Department of Ophthalmology,United christian Hospital,Hong Kong,were *** scheduled for cataract surgery were measured with both SS-OCT devices on the same *** following biometry parameters were compared:keratometry(K),total keratometry(TK),axial length(AL),central corneal thickness(CCT),anterior chamber depth(ACD),lens thickness(LT),white-to-white(WTW)and the predicted intraocular lens(IOL)power to achieve *** assess the agreement between the devices,Bland-Altman analysis with 95%limits of agreement(LoA)were ***:In total,92 eyes of 47 subjects were measured with both *** were statistically significant differences between the two biometers for most measurements(Png the right eyes for *** the left eyes,there were statistically significant differences in the measurements from the two biometers in all parameters except for flat and steep *** ANTERION did not obtain ACD,AL and LT in 2(2.17%),1(1.09%)and 5 cases(5.43%)***:The two biometers showed a clinically acceptable agreement in most *** showed significant differences in most parameters but not clinically relevant except for the TK and WTW,and these two parameters should not be used interch.ngeably between the devices.

关键词： Ocular biometry cataract swept-source optical coherence ANTERION IOLMaster 700

A diagnostic and screening strategy with neutrophil counts in patients with suspected aortic dissection in a certain time window

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World Journal of Emergency Medicine 2023年第4期14卷 307-311页

作者： Hon chun Kai Man siu Department of Accident&Emergency Tseung Kwan O HospitalHong KongChina Department of Accident&Emergency United Christian HospitalHospitalHong KongChina

Aortic dissection(AD)is a potentially devastating cardiovascular disease ***,given the low incidence of AD(2.5 to 3.5 cases per 100,000person-years),the diagnosis of this disease remains relatively difficult in emergency settings.[1,2]Computed tomography aortogram(CTA)is the most commonly used diagnostic tool,which is an invasive investigation with renal impairment and is cost *** are lots of patients at low or moderate risk of AD,which may be no need for CTA *** a result,validated clinical strategies beyond clinical judgment are needed to manage patients with suspected AD.

关键词： patients dissection diagnosis

On Optimal Proportional Reinsurance and Investment in a Markovian Regime-Switch.ng Economy

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Acta Mathematica Sinica,English Series 2012年第1期28卷 67-82页

作者： Xin ZHAng Tak Kuen siu School of Mathematical Sciences and LPMC Nankai UniversityTianjin 300071P.R.China Department of Actuarial Studies Faculty of Business and EconomicsMacquarie UniversitySydneyNSW 2109Australia

In this paper, the surplus of an insurance company is modeled by a Markovian regime- switch.ng diffusion process. The insurer decides the proportional reinsurance and investment so as to increase revenue. The regime-switch.ng economy consists of a fixed interest security and several risky shares. The optimal proportional reinsurance and investment strategies with no short-selling constraints for maximizing an exponential utility on terminal wealth are obtained.

关键词： Reinsurance regime-switch.ng economy optimal investment short-selling constraints

Bevacizumab for neovascular age-related macular degeneration in chinese patients in a clinical setting

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International Journal of Ophthalmology(English edition) 2016年第3期9卷 424-430页

作者： Danny siu-chun ng Alvin Kwan-Ho Kwok Justin Man-Kit Tong Clement Wai-Nang chan Walton Wai-Tat Li Department of Ophthalmology & Visual Sciences the Chinese University of Hong Kong Department of Ophthalmology Hong Kong Sanatorium and Hospital Department of Ophthalmology United Christian Hospital

AIM：To determine the outcome of non-investigational treatment with intravitreal bevacizumab（IVB） in neovascular age-related macular degeneration（AMD）patients.· METHODS：Retrospective chart review of 81 eyes with neovascular AMD followed-up for at least 12 mo and received 3-monthly loading IVB ***-treat was based upon the individual clinician＇s *** visual acuity（BCVA） and optical coherence tomography measurements of central foveal thickness outcomes were evaluated at 12,24 mo.· RESULTS：Eighty-one eyes（of 75 patients） completed12 mo of follow-up and 44 eyes（of 41 patients） completed24 mo of *** mean baseline logMAR BCVA significantly improved from 0.94±0.69 to 0.85±0.68 at12mo（P〈0.001） and from 0.91±0.65 to 0.85±0.60（P=0.004）at 24 *** proportion of eyes that lost 〈15 logMAR letters at 12 mo was 90.1%and at 24 mo was 81.8%.IVB was effective in improving visual acuity in both treatment naive and previous photodynamic therapy（PDT）-treated *** naive patients required significantly fewer injections than patients with prior *** regression analysis identified that poorer baseline visual acuity was associated with greater improvement in visual acuity（P=0.015）.· CONCLUSION：Fewer injections in clinical practice may result in suboptimal visual outcomes compared with clinical trials of IVB in neovascular AMD *** baseline visual acuity and prior PDT treatment may also improve vision after *** safety and durability of effect was maintained at 24 mo.

关键词： bcvacizumab age-related maculardegeneration chinese

Option Pricing when the Regime-Switch.ng Risk is Priced

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Acta Mathematicae Applicatae Sinica 2009年第3期25卷 369-388页

作者： Tak Kuen siu Hailiang Yang Department of Mathematics and Statistics Curtin University of Technology Perth W.A. 6845 Australia Department of Statistics and Actuarial Science the University of Hong Kong Pokfulam Road Hong Kong

We study the pricing of an option when the price dynamic of the underlying risky asset is governed by a Markov-modulated geometric Brownian motion. We suppose that the drift and volatility of the underlying risky asset are modulated by an observable continuous-time, finite-state Markov chain. We develop a two- stage pricing model which can price both the diffusion risk and the regime-switch.ng risk based on the Esscher transform and the minimization of the maximum entropy between an equivalent martingale measure and the real-world probability measure over different states. Numerical experiments are conducted and their results reveal that the impact of pricing regime-switch.ng risk on the option prices is significant.

关键词： Option valuation regime-switch.ng risk two-stage pricing procedure Esscher transform martingale restriction min-max entropy problem

Non-conventional modeling of extreme significant wave height through random sets

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Acta Oceanologica Sinica 2014年第7期33卷 125-130页

作者： ZHAng Yi LAM Jasmine siu Lee Division of Infrastructure Systems and Maritime Studies School of Civil and Environmental EngineeringN1-B1a-25 Nanyang Technological UniversitySingapore Division of Infrastructure Systems and Maritime Studies School of Civil and Environmental EngineeringN1-01b-43 Nanyang Technological UniversitySingapore

The analysis and design of offshore structures necessitates the consideration of wave loads. Realistic modeling of wave loads is particularly important to ensure reliable performance of these structures. Among the available methods for the modeling of the extreme significant wave height on a statistical basis, the peak over threshold method has attracted most attention. This method employs Poisson process to character- ize time-varying properties in the parameters of an extreme value distribution. In this paper, the peak over threshold method is reviewed and extended to account for subjectivity in the modeling. The freedom in selecting the threshold and the time span to separate extremes from the original time series data is incorpo- rated as imprecision in the model. This leads to an extension from random variables to random sets in the probabilistic model for the extreme significant wave height. The extended model is also applied to different periods of the sampled data to evaluate the significance of the climatic conditions on the uncertainties of the parameters.

关键词： offshore engineering extreme value distribution wave height peak over threshold randomset Pareto distribution

Ileocolonic mucormycosis in adult immunocompromised patients:A surgeon's perspective

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World Journal of Gastroenterology 2010年第9期16卷 1165-1170页

作者： Oswens siu-Hung Lo Wai-Lun Law Division of Colorectal Surgery Department of SurgeryUniversity of Hong Kong Medical CentreQueen Mary Hospital

We report three cases of ileocolic mucormycosis in adult immunocompromised patients presenting as acute *** patients underwent laparotomy but two of them died from multiorgan failure before the diagnoses were *** diagnosis of gastrointestinal mucormycosis is rarely suspected,and antemortem diagnosis is made in only 25%-50% of *** cases illustrate the difficulty encountered by surgeons in managing acute abdomen in neutropenic patients with hematological *** management of colonic mucormycosis in the published literature is also reviewed.

关键词： Gastrointestinal mucormycosis Colon Immunocompromised Surgery

Current and future molecular diagnostics in colorectal cancer and colorectal adenoma

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World Journal of Gastroenterology 2014年第14期20卷 3847-3857页

作者： Andy Hin-Fung Tsang Ka-Ho ch.ng Apple siu-Ping Wong Simon siu-Man ng Brigette Buig-Yue Ma charles Ming-Lok chan Nancy Bo-Yin Tsui Lawrence Wing-chi chan Benjamin Yat-Ming Yung Sze-chuen Cesar Wong Department of Health Technology and Informatics Faculty of Health and Social SciencesHong Kong Polytechnic University Department of Surgery Prince of Wales Hospital State Key Laboratory in Oncology in South china Sir Y K Pao Centre for CancerDepartment of Clinical OncologyHong Kong Cancer Institute and Prince of Wales HospitalThe Chinese University of Hong Kong

Colorectal cancer(CRC)is one of the most prevalent cancers in developed *** the other hand,CRC is also one of the most curable cancers if it is detected in early stages through regular colonoscopy or *** CRC develops slowly from precancerous lesions,early detection can reduce both the incidence and mortality of the *** occult blood test is a widely used non-invasive screening tool for *** fecal occult blood test is simple and cost-effective in screening CRC,there is room for improvement in terms of the accuracy of the *** dysregulations have been found to play an important role in CRC *** better understanding of the molecular basis of CRC,there is a growing expectation on the development of diagnostic tests based on more sensitive and specific molecular markers and those tests may provide a breakthrough to the limitations of current screening tests for *** this review,the molecular basis of CRC development,the characteristics and applications of different non-invasive molecular biomarkers,as well as the technologies available for the detection were *** review intended to provide a summary on the current and future molecular diagnostics in CRC and its pre-malignant state,colorectal adenoma.

关键词： Colorectal cancer Colorectal adenoma Molecular diagnostics Fecal occult blood test Non-invasive