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HOPF BIFURCATION AND ANALYSIS OF EQUILIBRIUM FOR A THIRD-ORDER DIFFERENTIAL EQUATION IN A MODEL OF COMPETITION

Acta Mathematicae Applicatae Sinica 2001年第1期17卷 68-80页

作者： LORNA S. ALMOCERA polly w. sy 井竹君 Department of Mathematics University of the Philippines Quezon City Philippines Department of Mathematics Hunan Normal University Changsha China

In this paper, a mathematical model of competition betw.en plasmid-bearing and plasmidfree organisms in a chemostat w.th an inhibitor is investigated. The model is in the form of a system of nonlinear differential equations. By using qualitative methods, the conditions for the existence and local stability of the equilibria are obtained. The existence and stability of periodic solutions of the Hopf type are studied. Numerical simulations about the Hop f bifurcation value and Hopf limit cycle are also given.

关键词： Chemostat competition local stability periodic solutions of the Hopf type

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On the Bifurcations and Multiple Endemic States of a Single Strain HIV Model Dedicated to Professor Toshikazu Sunada on the Occasion of his 60th Birthday

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Acta Mathematicae Applicatae Sinica 2014年第4期30卷 913-930页

作者： Lindley Kent M.FAINA Lorna S.ALMOCERA polly w.sy College of Arts and Sciences University of the Philippines Visayas Natural Sciences and Mathematics Division University of the Philippines VisayasCebu College Institute of Mathematics University of the Philippines

The dynamics of a single strain HIV model is studied. The basic reproduction number R0 used as a bifurcation parameter show. that the system undergoes transcritical and saddle-node bifurcations. The usual threshold unit value of R0 does not completely determine the eradication of the disease in an HIV infected person. In particular, a sub-threshold value Rc is established w.ich determines the system＇s number of endemic states： multiple if Rc 〈 Ro 〈 1, only one if Rc=Ro = 1, and none if R0 〈 Rc 〈 1.

关键词： single strain HIV model multiple endemic states transcritical bifurcation s^idle-node bifurcation hysteresis

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MRBLES 2.0: High-throughput generation of chemically functionalized spectrally and magnetically encoded hydrogel beads using a simple single-layer microfluidic device

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Microsystems & Nanoengineering 2020年第1期6卷 145-157页

作者： Yinnian Feng Adam K.w.ite Jamin B.Hein Eric A.Appel polly M.Fordyce Department of Genetics Stanford UniversityStanfordCA 94305USA Department of Bioengineering Stanford UniversityStanfordCA 94305USA Department of Biology Stanford UniversityStanfordCA 94305USA The Novo Nordisk Foundation Center for Protein Research Faculty of Health and Medical SciencesUniversity of CopenhagenBlegdamsvej 3b2200 CopenhagenDenmark Department of Materials Science&Engineering Stanford UniversityStanfordCA 94305USA Stanford ChEM-H Stanford UniversityStanfordCA 94305USA Chan Zuckerberg Biohub San FranciscoCA 94110USA

The w.despread adoption of bead-based multiplexed bioassays requires the ability to easily synthesize encoded microspheres and conjugate analytes of interest to their ***,w. present a simple method(MRBLEs 2.0)for the efficient high-throughput generation of microspheres w.th ratiometric barcode lanthanide encoding(MRBLEs)that bear functional groups for dow.stream surface *** production in MRBLEs 2.0 relies on the manual mixing of lanthanide/polymer mixtures(each of w.ich comprises a unique spectral code)follow.d by droplet generation using single-layer,parallel flow.focusing devices and the off-chip batch polymerization of droplets into *** streamline dow.stream analyte coupling,MRBLEs 2.0 crosslinks copolymers bearing functional groups on the bead surface during bead *** the MRBLEs 2.0 pipeline,w. generate monodisperse MRBLEs containing 48 distinct w.ll-resolved spectral codes w.th high throughput(>150,000/min and can be boosted to 450,000/min).w. further demonstrate the efficient conjugation of oligonucleotides and entire proteins to carboxyl MRBLEs and of biotin to amino ***,w. show.that MRBLEs can also be magnetized via the simultaneous incorporation of magnetic nanoparticles w.th only a minor decrease in the potential code *** the advantages of dramatically simplified device fabrication,elimination of the need for custom-made equipment,and the ability to produce spectrally and magnetically encoded beads w.th direct surface functionalization w.th high throughput,MRBLEs 2.0 can be directly applied by many labs tow.rds a w.de variety of dow.stream assays,from basic biology to diagnostics and other translational research.

关键词： beads spectral functional

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Diffuse Sclerosing Variant of Papillary Thyroid Carcinoma w.th Concomitant Thyrotoxicosis: A Case Report and Literature Review

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Surgical Science 2014年第3期5卷 117-121页

作者： Jessie Y. w. Chan David K. K. Tsui polly Tsui Tang Chung Ngai Department of Pathology Pamela Youde Nethersole Eastern Hospital Hong Kong China Department of Surgery Pamela Youde Nethersole Eastern Hospital Hong Kong China

Diffuse sclerosing variant of papillary thyroid carcinoma (DSVPC) is a rare variant of conventional papillary thyroid carcinoma w.ich w.s first reported in 1985. It appears to be more aggressive than conventional type of papillary thyroid carcinoma. w. present a case in a 14-year-old girl w.o initially presented w.th thyrotoxicosis and w.s later diagnosed w.th DSVPC on subsequent ultrasound and fine need leaspiration w.en cervicallymph node w.s evident on clinical examination. Concomitant thyrotoxicosis in thyroid carcinoma is uncommon. The prevalence, clinical presentation, characteristic radiological and histological features, management and prognosis of DSVPC are discussed w.th literature review. w. also hope to illustrate through this case that ultrasound as a non-invasive imaging modality is an invaluable tool for w.rkup in functional thyroid problems and concomitant malignancy may not be that uncommon, so that w. could provide prompt treatment to our patients.

关键词： Papillary Thyroid Carcinoma Diffuse Sclerosing Variant Thyrotoxicosis Microcalcifications Ultrasound

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微创脊柱外科学

微创脊柱外科学

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2016年

作者：（美）FRANK M.PHILLIPS （美）ISADOR H.LIEBERMAN （美）DAVID w.polly JR. 赵杰马辉主译

《微创脊柱外科》一书详细讨论了相关的研究进展、外科技术、特定疾病的手术方法,以及微创脊柱外科特有风险和并发症的处理策略。主要内容包括:脊柱微创手术的历史和发展、脊柱微创手术的理念和生物学基础等。

关键词：脊柱病-显微外科学

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