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Solution and Analysis of the Fuzzy Volterra Integral Equations viahomotopy Analysis Method

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Computer Modeling in Engineering & Sciences 2021年第6期127卷 875-899页

作者： Ali.F.Jameel N.R.Anakira A.K.Alomari Noraziah h.man School of Quantitative Sciences Universiti Utara MalaysiaKedahSintok06010Malaysia Department of Mathematics Faculty of Science and TechnologyIrbid National UniversityIrbid2600Jordan Department of Mathematics Faculty of ScienceYarmouk UniversityIrbid21163Jordan

homotopy Analysis Method(hAM)is semi-analytic method to solve the linear and nonlinear mathematical models which can be used to obtain the approximate *** hAM includes an auxiliary parameter,which is an efficient way to examine and analyze the accuracy of linear and nonlinear *** main aim of this work is to explore the approximate solutions of fuzzy Volterra integral equations(both linear and nonlinear)with a separable kernel via *** method provides a reliable way to ensure the convergence of the approximation series.A new general form of hAM is presented and analyzed in the fuzzy domain.A qualitative convergence analysis based on the graphical method of a fuzzy hAM is *** solutions sought by the proposed method show that the hAM is easy to implement and computationally quite *** solutions of fuzzy second kind Volterra integral equations are solved as numerical examples to show the potential of the *** results also show that hAM provides an easy way to control and modify the convergence area in order to obtain accurate solutions.

关键词： homotopy analysis method convergence control parameter fuzzy Volterra integral equations

The efficacy and effectiveness of machine learning for weaning in mechanically ventilated patients at the intensive care unit: a systematic review

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Bio-Design and manufacturing 2019年第1期2卷 31-40页

作者： man Ting Kwong Glen Wright Colopy Anika M.Weber Ari Ercole Jeroen h.M.Bergmann Department of Engineering Science University of OxfordParks Road. Oxford OXI 3PJ. UK snap40 Inc.125 Princess Street Edinburgh EH2 4AD UK CRUK/MRC Oxford Institute for Radiation Oncology.Roosevelt Drive Oxford OX3 7DQ. UK Division of Anaesthesia Addenbrooke's Hospital University of Cambridge Hills Road Cambridge CB2 0QQ. UK

Weani ng from mechanical ventilation in the in tensive care unit (ICU) is a complex clinical problem and relevant for future organ engineering. Prolonged mechanical ventilation (MV) leads to a range of medical complications that increases length of stay and costs as well as contributes to morbidity and even mortality and long-term quality of life. The need to reduce MV is both clinical and economical. Artificial intelligence or machine learning (ML) methods are promising opportunities to positively influence patient outcomes. ML methods have been proposed to enhance clinical decisions processes by using the large amount of digital information generated in the ICU setting. There is a particular interest in empirical methods (such as ML) to improve management of "difficult-to-wean" patients, due to the associated costs and adverse events associated with this population. A systematic literature search was performed using the OVID, IEEEXplore, PubMed, and Web of Science databases. All publications that included (1) the application of ML to weaning from MV in the ICU and (2) a clinical outcome measurement were reviewed. A checklist to assess the study quality of medical ML publications was modified to suit the critical assessment of ML in MV weaning literature. The systematic search identified nine studies that used ML for weaning management from MV in critical care. The weaning management application areas included (1) prediction of successful spontaneous breathing trials (SBTs),(2) prediction of successful extubation,(3) prediction of arterial blood gases, and (4) ventilator setting and oxygenation-adjustment advisory systems. Seven of the nine studies scored seven out of eight on the quality index. The remaining two of the nine studies scored one out of eight on the quality index. This scoring may, in part, be explained by the publications' focus on technical novelty, and therefore focusing on issues most important to a technical audience, instead of issues most impor

关键词： Artificial intelligence Patient-centred medicine Clinical trial Critical care Data science

Expression and reconstitution of the bioluminescent Ca2+reporter aequorin in human embryonic stem cells,and exploration of the presence of functional IP3 and ryanodine receptors during the early stages of their differentiation into cardiomyocytes

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Science China(Life Sciences) 2016年第8期59卷 811-824页

作者： harvey y.S.Chan man Chun Cheung yi Gao Andrew L.Miller Sarah E.Webb Division of Life Science&State Key Laboratory of Molecular Neuroscience HKUSTClear Water BayHong KongChina Stem Cell&Regenerative Medicine Consortium Li Ka Shing Faculty of MedicineThe University of Hong KongPokfulamHong KongChina Marine Biological Laboratory Woods Hole MA 02543USA

In order to develop a novel method of visualizing possible Ca2＋ signaling during the early differentiation of hESCs into cardi- omyocytes and avoid some of the inherent problems associated with using fluorescent reporters, we expressed the biolumines- cent Ca2＋ reporter, apo-aequorin, in hES2 cells and then reconstituted active holo-aequorin by incubation withf-coelenterazine. The temporal nature of the Ca2＋ signals generated by the holo-f-aequorin-expressing hES2 cells during the earliest stages of differentiation into cardiomyocytes was then investigated. Our data show that no endogenous Ca2＋ transients （generated by re- lease from intracellular stores） were detected in 1-12-day-old cardiospheres but transients were generated in cardiospheres following stimulation with KC1 or CaC12, indicating that holo-f-aequorin was functional in these cells. Furthermore, following the addition of exogenous ATP, an inositol trisphosphate receptor （IP3R） agonist, small Ca2＋transients were generated from day 1 onward. That ATP was inducing Ca2＋ release from functional IP3Rs was demonstrated by treatment with 2-APB, a known IP3R antagonist. In contrast, following treatment with caffeine, a ryanodine receptor （RyR） agonist, a minima/Ca2＋ response was observed at day 8 of differentiation only. Thus, our data indicate that unlike RyRs, IP3Rs are present and continually functional at these early stages of cardiomyocyte differentiation.

关键词： Ca2+ signaling apo-aequorin expression bioluminescence hES2 human embryonic stem cells hESC-derived cardiospheres IP3 and ryanodine receptors

Recombinant *** LLO/OVA Induces Murine BMDCs Maturation via TLR4 and NOD1 Receptor and Promotes Specific Cytotoxic T Cell Immunity

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Biomedical and Environmental Sciences 2010年第5期23卷 350-356页

作者： man XU MING-ShEN DAI Department of Pathology Molecular Medicine and Cancer Research Centre Chongqing Medical University Chongqing 400016 China Centre for Molecular Oncology Institute of Cancer Queen Mary 's School of Medicine and Dentistry London EC1M 6BQ UK

Objective To explore the immune stimulation effect of recombinant *** LLO/OVA on mice bone marrow-derived dendritic cells （BMDCs） and T lymphocytes in *** After BMDCs stimulated by *** LLO/OVA,their Toll-like receptor （TLR） and nucleotide-binding oligomerization domain （NOD） receptor signalling pathway were examined by superarray hybridization;and the priming effect of the vaccine activated BMDCs on CD4＋T and CD8＋T was determined by [3h]thymidine uptake and ELISA,the tumor cytotoxic effect of activated CD8＋T cells was determined by cytotoxic *** After BMDCs were activated by *** LLO/OVA via TLR4,NOD1 receptor and NF-κB signalling pathway,the expression of their surface molecules including MhC class Ⅰ,MhC class Ⅱ,CD40,CD80 and CD86 significantly up-regulated;the secretion of IL-12 and IFN-？ increased *** mature BMDCs stimulated the allergic CD4＋T and CD8＋T cells proliferation and their IL-2 and IFN-γ secretion,and the activated CD8＋T cells effectively killed B16-OVA melanoma cells and RMA-S/OVA lymphoma cells in *** *** LLO/OVA is effective in inducing BMDCs maturation via activating TLR4 and NOD1 receptor signalling pathway and promoting specific anti-tumor T cell immunity in vitro.

关键词： Bone marrow-derived dendritic cells BMDCs Recombinant Escherichia coli Toll-like receptor (TLR) Nucleotide-binding oligomerization domain (NOD) CD8+T cells

Efficacy and safety of herbal medicines in treating gastric ulcer:A review

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World Journal of Gastroenterology 2014年第45期20卷 17020-17028页

作者： Wei-Ping Bi hui-Bin man Mao-Qiang man Department of Internal Medicine Wendeng Central Hospital Dermatology Service Veterans Affairs Medical Center Department of Dermatology University of California

Gastric ulcer is a common disorder of the digestive *** therapeutic regimens largely rely on Western ***,numerous studies have demonstrated that herbal medicines can effectively treat gastric ulcer in humans and various animal models via divergent *** review updates the efficacy and safety of herbal medicines in treating gastric ulcer,and the mechanisms of their action in humans and animal *** have demonstrated that the efficacy of herbal medicines is comparable or superior to that of drugs such as omeprazole or cimetidine in humans and animal models,and herbal medicines display fewer adverse *** mechanisms by which herbal medicines benefit gastric ulcer include stimulation of mucous cell proliferation,anti-oxidation,and inhibition of gastric acid secretion and h(+)/K(+)-ATPase *** herbal medicines also exhibit antimicrobial *** of herbal medicines could be a valuable alternative to treat gastric ulcer in humans effectively,with few adverse effects.

关键词： herbal medicines Gastric ulcer Mechanism of action

Noise Like Ultra-Short Bound Solitons Train

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光学学报 2003年第S1期23卷 401-402页

作者： y.D. Gong P. Shum D.y. Tang T.h. Cheng C. Lu X.Q. Zhou Z.W. Qi y.L. Guan W.S.man h. y. Tam Institute for Infocomm Research Innovation Center Block 2 18 Nanyang Drive Singapore 637723. Network Technology Research Center School of Electrical & Electronic Engineering Nangyang TechnologicalUniversity Singapore 639798 Department of Electrical Engineering The Hong Kong Polytechnic University Hung Hom Kowloon Hong Kong

Asymmetrical bound solitons train with pulsewidth of 103fs and separation of 585.5fs without any CW components are observed from Figure-8 passive mode locked fiber laser, the separation and pulsewidth keep unchanged e... 详细信息

关键词： Optical fiber lasers Optical fiber solitons Optical pulse generation

Millimeter observations of organic molecules toward high-mass star formation region G34.26+0.15

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Research in Astronomy and Astrophysics 2016年第12期16卷 34-40页

作者： Li Fu Guo-man Lin School of Chemistry & Material Science Langfang Teachers University College of Chemistry & Molecular Engineering Peking University School of Physics & Electronics Langfang Teachers University

To investigate the chemical origination of organic molecules Ch3Oh, Ch3OCh3, C2h5Oh, Ch3OCh, Ch3CN, C2haCN and C2h5CN in the hot core associated with high-mass star formation re- gion G34.26＋0.15, Submillimeter Array observations were made with its 230 Ghz receiver. The molecular gas distribution has shown that the oxygen- and nitrogen-containing molecules peak at different positions. Comparing the spatial distributions with rotational temperatures and fractional abundances of the observed molecules, we discuss the possible chemical origination of these organic molecules.

关键词： astrochemistry -- molecular processes -- line: identification -- ISM: abundances

Endpoint Estimates of Generalized homogeneous Littlewood–Paley g-functions over Non-homogeneous Metric Measure Spaces

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Acta Mathematica Sinica,English Series 2016年第9期32卷 1035-1074页

作者： Xing FU Ji man ZhAO School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875 P. R. China

Let （x, d,u） be a metric measure the upper doubling conditions. Under the weak space satisfying both the geometrically doubling and reverse doubling condition, the authors prove that the generalized homogeneous Littlewood-Paley g-function gr （r ∈ [2, ∞）） is bounded from hardy space h1（u） into L1（u）. Moreover, the authors show that, if f ∈ RBMO（u）, then [gr（f）]r is either infinite everywhere or finite almost everywhere, and in the latter case, [gr（f）]r belongs to RBLO（u） with the norm no more than ｜｜f｜｜ RBMO（u） multiplied by a positive constant which is independent of f. As a corollary, the authors obtain the boundedness of gr from RBMO（u） into RBLO（u）. The vector valued Calderon-Zygmund theory over （X, d, u） is also established with details in this paper.

关键词： Non-homogeneous metric measure space generalized homogeneous Littlewood-Paley g-function hardy space RBMO(u) RBLO(u) vector valued Calderon Zygmund theory

A Wiener-hopf factorization related potential measure for spectrally negative Lévy process

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Frontiers of Mathematics in China 2021年第2期16卷 325-343页

作者： man ChEN Xianyuan WU Xiaowen ZhOU School of Mathematical Sciences Capital Normal UniversityBeijing 100048China Department of Mathematics and Statistics Concordia UniversityMontrealQC H3G 1M8Canada

For spectrally negative Lévy process (SNLP), we find an expression, in terms of scale functions, for a potential measure involving the maximum and the last time of reaching the maximum up to a draw-down time. As applications, we obtain a potential measure for the reflected SNLP and recover a joint Laplace transform for the Wiener-hopf factorization for SNLP.

关键词： Spectrally negative Lévy process(SNLP) potential measure draw-down time excursion theory scale function Wiener-hopf factorization