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        A NONSTANDARD FINITE DIFFERENCE METHOD APPLIED TO A MATHEMATICAL CHOLERA MODEL

        Liao, Shu,Yang, Weiming Korean Mathematical Society 2017 대한수학회보 Vol.54 No.6

        In this paper, we aim to construct a nonstandard finite difference (NSFD) scheme to solve numerically a mathematical model for cholera epidemic dynamics. We first show that if the basic reproduction number is less than unity, the disease-free equilibrium (DFE) is locally asymptotically stable. Moreover, we mainly establish the global stability analysis of the DFE and endemic equilibrium by using suitable Lyapunov functionals regardless of the time step size. Finally, numerical simulations with different time step sizes and initial conditions are carried out and comparisons are made with other well-known methods to illustrate the main theoretical results.

      • KCI등재

        Clinical Features and Computed Tomography Characteristics of Non-Klebsiella pneumoniae Liver Abscesses in Elderly (>65 Years) and Nonelderly Patients

        Chih-Weim Hsiang,Wei-Chou Chang,Chang-Hsien Liu,Hsiu-Lung Fan,Kai-Hsiung Ko,Chih-Yung Yu,Hong-Hau Wang,Wen-I Liao,Hsian-He Hsu 연세대학교의과대학 2015 Yonsei medical journal Vol.56 No.2

        Purpose: To compare the clinical and computed tomography (CT) appearances of liver abscesses caused by non-Klebsiella pneumoniae bacterial pathogens in elderly and nonelderly patients. Materials and Methods: Eighty patients with confirmed non-Klebsiella pneumoniae liver abscesses (non-KPLAs) were enrolled and dividedinto two age groups: elderly (age ≥65 years, n=42) and nonelderly (age <65 years, n=38). Diagnosis of non-KPLA was established by pus and/or blood culture. We compared clinical presentations, outcomes, and CT characteristics of the two groups, and performed multivariate analysis for significant variables and receiver-operating-characteristic analysis to determine the cutoff value of abscess diameter for predicting non-KPLA. Results: Elderly patients with non-KPLA were associatedwith a longer hospital stay (p<0.01). Regarding etiology, biliary sources had a strong association in the elderly group (p<0.01), and chronic liver diseases were relatedto the nonelderly group (p<0.01). Non-KPLAs (52.5%) tended to show a large, multiloculated appearance in the elderly group and were associated with bile duct dilatation (p<0.01), compared with the nonelderly group. The abscess diameter (cutoff value, 5.2 cm; area under the curve, 0.78) between the two groups was predicted. In multivariate analysis, underlying biliary tract disease [odds ratio (OR), 3.58, p<0.05], abscess diameter (OR, 2.40, p<0.05), and multiloculated abscess (OR, 1.19, p<0.01) independently predicted elderly patients with non-KPLA. Conclusion:In the elderly patients with non-KPLA, a large, multiloculated abscess with a diameter greater than 5.2 cm was the predominant imaging feature.

      • KCI등재

        A nonstandard finite difference method applied to a mathematical cholera model

        Shu Liao,Weiming Yang 대한수학회 2017 대한수학회보 Vol.54 No.6

        In this paper, we aim to construct a nonstandard finite difference (NSFD) scheme to solve numerically a mathematical model for cholera epidemic dynamics. We first show that if the basic reproduction number is less than unity, the disease-free equilibrium (DFE) is locally asymptotically stable. Moreover, we mainly establish the global stability analysis of the DFE and endemic equilibrium by using suitable Lyapunov functionals regardless of the time step size. Finally, numerical simulations with different time step sizes and initial conditions are carried out and comparisons are made with other well-known methods to illustrate the main theoretical results.

      • KCI등재

        MicroRNA-455-3p promotes TGF-β signaling and inhibits osteoarthritis development by directly targeting PAK2

        Shu Hu,Xiaoyi Zhao,Guping Mao,Ziji Zhang,Xingzhao Wen,Chengyun Zhang,Weiming Liao,Zhiqi Zhang 생화학분자생물학회 2019 Experimental and molecular medicine Vol.51 No.-

        MicroRNAs (miRNAs, miR) play a key role in the pathogenesis of osteoarthritis (OA). Few studies have examined theregulatory role of P21-activated kinases (PAKs), a family of serine/threonine kinases, in OA. The aim of this study was todetermine whether miR-455-3p can regulate cartilage degeneration in OA by targeting PAK2. MiR-455-3p knockoutmice showed significant degeneration of the knee cartilage. MiR-455-3p expression increased and PAK2 expressiondecreased in the late stage of human adipose-derived stem cell (hADSC) chondrogenesis and in chondrocytesaffected by OA. Furthermore, in both miR-455-3p-overexpressing chondrocytes and PAK2-suppressing chondrocytes,cartilage-specific genes were upregulated, and hypertrophy-related genes were downregulated. A luciferase reporterassay confirmed that miR-455-3p regulates PAK2 expression by directly targeting the 3′-untranslated regions (3′UTRs)of PAK2 mRNA. IPA-3, a PAK inhibitor, inhibited cartilage degeneration due to OA. Moreover, suppressing PAK2promoted R-Smad activation in the TGF/Smad signaling pathway in chondrocytes. Altogether, our results suggest thatmiR-455-3p promotes TGF-β/Smad signaling in chondrocytes and inhibits cartilage degeneration by directlysuppressing PAK2. These results thus indicate that miR-455-3p and PAK2 are novel potential therapeutic agents andtargets, respectively, for the treatment of OA.

      • KCI등재

        Circular RNA CREBBP modulates cartilage degradation by activating the Smad1/5 pathway through the TGFβ2/ALK1 axis

        Xu Yiyang,Mao Guping,Long Dianbo,Deng Zengfa,Xin Ruobin,Zhang Ziji,Xue Ting,Liao Weiming,Xu Jie,Kang Yan 생화학분자생물학회 2022 Experimental and molecular medicine Vol.54 No.-

        Osteoarthritis, characterized by articular cartilage degradation, is the leading cause of chronic disability in older adults. Studies have indicated that circular RNAs are crucial regulators of chondrocyte development and are involved in the progression of osteoarthritis. In this study, we investigated the function and mechanism of a circular RNA and its potential for osteoarthritis therapy. The expression levels of circCREBBP, screened by circular RNA sequencing during chondrogenic differentiation in adipose tissue-derived stem cells, and TGFβ2 were significantly increased in the cartilage of patients with osteoarthritis and IL-1β-induced chondrocytes. circCREBBP knockdown increased anabolism in the extracellular matrix and inhibited chondrocyte degeneration, whereas circCREBBP overexpression led to the opposite effects. Luciferase reporter assays, rescue experiments, RNA immunoprecipitation, and RNA pulldown assays confirmed that circCREBBP upregulated TGFβ2 expression by sponging miR-1208, resulting in significantly enhanced phosphorylation of Smad1/5 in chondrocytes. Moreover, intra-articular injection of adeno-associated virus-sh-circCrebbp alleviated osteoarthritis in a mouse model of destabilization of the medial meniscus. Our findings reveal a critical role for circCREBBP in the progression of osteoarthritis and provide a potential target for osteoarthritis therapy.

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