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STRONG CONVERGENCE OF COMPOSITE IMPLICIT ITERATIVE PROCESS FOR A FINITE FAMILY OF NONEXPANSIVE MAPPINGS

  • Gu, Feng
    • East Asian mathematical journal
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    • v.24 no.1
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    • pp.35-43
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    • 2008
  • Let E be a uniformly convex Banach space and K be a nonempty closed convex subset of E. Let ${\{T_i\}}^N_{i=1}$ be N nonexpansive self-mappings of K with $F\;=\;{\cap}^N_{i=1}F(T_i)\;{\neq}\;{\theta}$ (here $F(T_i)$ denotes the set of fixed points of $T_i$). Suppose that one of the mappings in ${\{T_i\}}^N_{i=1}$ is semi-compact. Let $\{{\alpha}_n\}\;{\subset}\;[{\delta},\;1-{\delta}]$ for some ${\delta}\;{\in}\;(0,\;1)$ and $\{{\beta}_n\}\;{\subset}\;[\tau,\;1]$ for some ${\tau}\;{\in}\;(0,\;1]$. For arbitrary $x_0\;{\in}\;K$, let the sequence {$x_n$} be defined iteratively by $\{{x_n\;=\;{\alpha}_nx_{n-1}\;+\;(1-{\alpha}_n)T_ny_n,\;\;\;\;\;\;\;\;\; \atop {y_n\;=\;{\beta}nx_{n-1}\;+\;(1-{\beta}_n)T_nx_n},\;{\forall}_n{\geq}1,}$, where $T_n\;=\;T_{n(modN)}$. Then {$x_n$} convergence strongly to a common fixed point of the mappings family ${\{T_i\}}^N_{i=1}$. The result presented in this paper generalized and improve the corresponding results of Chidume and Shahzad [C. E. Chidume, N. Shahzad, Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings, Nonlinear Anal. 62(2005), 1149-1156] even in the case of ${\beta}_n\;{\equiv}\;1$ or N=1 are also new.

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Effects of Hwangryunhaedok-tang on DNA Damage, Antioxidant Enzymes Expression and Acetylcholinesterase Activity (황연해독탕(黃連解毒湯)의 산화적 DNA 손상에 대한 보호효과 및 항산화효소계의 발현과 Acetylcholinesterase 활성에 미치는 영향)

  • Moon, Jin-Young
    • The Korea Journal of Herbology
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    • v.22 no.1
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    • pp.7-12
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    • 2007
  • Objectives : In Alzheimer's disease(AD), free radical oxidative stress caused by amyloid beta-peptide may lead to DNA damage, neuronal dysfunction, neurotoxicity and cell death, Hwangryunhaedok-tang(HHT) is traditionally used for the treatment of pyrogenetic diseases. To develop a new anti-AD drug from natural herb, HHT was selected and extracted in this study. Methods : The antioxidant activities of HHT water extract powder were examined by hydroxyl radical-induced DNA strand nicking assay, and antioxidative enzymes expression assay in H4IIE cell. In addition, HHT was examined for the inhibitory effect on the acetylcholinesterase(AChE) using by Ellman's coupled assay. Results: The HHT exhibit DNA protective effect in the hydroxyl radical-induced DNA Strand nicking assay, mRNA expression of superoxide dismutase and glutathione peroxidase were recovered at a normal level by HHT treatment in H4IIE cell. Furthermore, water extract of HHT showed inhibitory effect on AChE activity. Conclusion : These results suggest that HHT may be effective in delaying and preventing AD progression related to the free radical-induced DNA damage and AChE activity.

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Effects of Periodic Blowing Through a Spanwise Slot on a Turbulent Boundary Layer (II) - Effects of Blowing Frequency - (슬릿을 통한 주기적 국소 가진이 난류경계층에 미치는 영향 (II) - 분사 주파수의 효과 -)

  • Kim, Kyoung-Youn;Sung, Hyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.1
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    • pp.41-51
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    • 2004
  • A direct numerical simulation is performed to analyze the effects of a localized time-periodic blowing on a turbulent boundary layer flow at R $e_{+}$=300. Main emphasis is placed on the blowing frequency effect on near-wall turbulent flow structures at downstream. Wall-normal velocity on a spanwise slot is varied periodically at different frequencies (0.004$\leq$ $f^{+}$$\leq$0.080). The amplitude of periodic blowing is $A^{+}$=0.5 in wall nit, which corresponds to the value of $v_{rms}$ at $y^{+}$=15 without blowing. The frequency responses are scrutinized by examining the phase or time-averaged turbulent statistics. The optimal frequency ( $f^{+}$=0.03) is observed, where maximum increase in Reynolds shear stress, streamwise vorticity fluctuations and energy redistribution occurs. The phase-averaged stretching and tilting term are investigated to analyze the increase of streamwise vorticity fluctuations which are closely related to turbulent coherent structures. It is found that the difference between PB and SB at a high blowing frequencies is negligible.e.e.

GOODNESS-OF-FIT TEST USING LOCAL MAXIMUM LIKELIHOOD POLYNOMIAL ESTIMATOR FOR SPARSE MULTINOMIAL DATA

  • Baek, Jang-Sun
    • Journal of the Korean Statistical Society
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    • v.33 no.3
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    • pp.313-321
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    • 2004
  • We consider the problem of testing cell probabilities in sparse multinomial data. Aerts et al. (2000) presented T=${{\Sigma}_{i=1}}^{k}{[{p_i}^{*}-E{(p_{i}}^{*})]^2$ as a test statistic with the local least square polynomial estimator ${{p}_{i}}^{*}$, and derived its asymptotic distribution. The local least square estimator may produce negative estimates for cell probabilities. The local maximum likelihood polynomial estimator ${{\hat{p}}_{i}}$, however, guarantees positive estimates for cell probabilities and has the same asymptotic performance as the local least square estimator (Baek and Park, 2003). When there are cell probabilities with relatively much different sizes, the same contribution of the difference between the estimator and the hypothetical probability at each cell in their test statistic would not be proper to measure the total goodness-of-fit. We consider a Pearson type of goodness-of-fit test statistic, $T_1={{\Sigma}_{i=1}}^{k}{[{p_i}^{*}-E{(p_{i}}^{*})]^2/p_{i}$ instead, and show it follows an asymptotic normal distribution. Also we investigate the asymptotic normality of $T_2={{\Sigma}_{i=1}}^{k}{[{p_i}^{*}-E{(p_{i}}^{*})]^2/p_{i}$ where the minimum expected cell frequency is very small.

Role of Bone Scan in Rheumatic Diseases (류마티스 질환에서 골스캔의 역할)

  • Choi, Yun-Young
    • The Korean Journal of Nuclear Medicine
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    • v.37 no.3
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    • pp.137-146
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    • 2003
  • Rheumatic diseases can be categorized by pathology into several specific types of musculoskeletal problems, including synovitis (e.g. rheumatoid arthritis), enthesopathy (e.g. ankylosing spondylitis) and cartilage degeneration (e.g. osteoarthritis). Skeletal radiographs have contributed to the diagnosis of these articular diseases, and some disease entities need typical radiographic changes as a factor of the diagnostic criteria. However, they sometimes show normal radiographic findings in the early stage of disease, when there is demineralization of less than 30-50 %. Bone scans have also been used in arthritis, but not widely because the findings are nonspecific and it is thought that bone scans do not add significant information to routine radiography. Bone scans do however play a different role than simple radiography, and it is a complementary imaging method in the course of management of arthritis. The Image quality of bone scans can be improved by obtaining regional views and images under a pin-hole collimator, and through a variety of scintigraphic techniques including the three phase bone scan and bone SPECT. Therefore, bone scans could improve the diagnostic value, and answer multiple clinical questions, based on the pathophysiology of various forms of arthritis.

Scutellaria baicalensis Modulates Cytokine Production, T Cell Population and Immunoglobulin Level by Mesenteric Lymph Node Lymphocytes in Experimental Mice with Colitis (한약재인 황금의 궤양성 실험동물에 대한 장간막 임파절 임파구의 면역글로블린 수준, T세포집단, 사이토카인 생성의 조절작용)

  • Lim, Beong-Ou;Park, Pyo-Jam;Choi, Wahn-Soo;Kim, Jong-Dai
    • Korean Journal of Medicinal Crop Science
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    • v.16 no.2
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    • pp.100-105
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    • 2008
  • We previously examined extracts, isolated from Scutellaria baicalensis (SB), chemical mediators, and IgE by mesenteric lymph node (MLN) lymphocytes in rats. The present study was to evaluate the effects of extracts of SB on the MLN lymphocytes function of mice given orally by 20 mg/kg for 2 weeks with dextran sulfate sodium (DS)-induced colitis. Results show that IgE levels in MLN lymphocytes was low, while IgA was high, in mice given SB compared to that fed water. Concentrations of $Inteferon-{\gamma}$ and interleukin (IL)-2 of T cells by concanavalin A treatment was significantly higher in the SB fed group than the normal group. Activation-induced IL-4 and IL-10 secretion was lower in SB fed mice compared control mice after DS-induced colitis. These results suggested that SB suppresses the inflammation in DS-induced colitis through the modulation of Th1/Th2 balance to down-regulate $Th_2$ response in MLN lymphocytes.

A Case Study on the Design of Drilled Shaft on Soft Ground in Vietnam (베트남 연약지반에서의 현장타설말뚝 설계 사례)

  • Seo, Won-Seok;Cho, Sung-Han;Choi, Ki-Byung
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.10a
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    • pp.591-604
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    • 2008
  • In this study, two design examples of drilled shafts on soft ground in Ho-Chi-Minh City, Vietnam are introduced. One is for a 27-story apartment and the other is for a Arch bridge over Saigon river. Unlikely the normal cases in Korea, all of the bored pile foundations are supposed to be placed on soil layers. Therefore, skin friction between pile and ground is the most crucial design parameter. Three methods using SPT N value of sandy soil -Korean Road Bridge Code(1996), Reese and Wright (1977), and O'Neill and Reese (1988)- were adopted to obtain an ultimate axial bearing capacity. In order to verify the calculated bearing capacity, 3 sets of static load test and a Osterberg Cell test were performed at an apartment site and a bridge site respectively. LRFD (Load Resistance Factored Design) method was compared with ASD (Allowable Stress Design) method. On application of ASD method, safety factor for skin friction was adopted as 2 or 3 while safety factor for end bearing was 3. The design bearing capacities from ASD method matched well with those from LRFD method when safety factor for skin friction was adopted as 2.

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Protective Effects of Probiotic Lactobacillus rhamnosus IMC501 in Mice Treated with PhIP

  • Dominici, Luca;Villarini, Milena;Trotta, Francesca;Federici, Ermanno;Cenci, Giovanni;Moretti, Massimo
    • Journal of Microbiology and Biotechnology
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    • v.24 no.3
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    • pp.371-378
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    • 2014
  • The aim of the present study was to investigate the antigenotoxic properties of the probiotic Lactobacillus rhamnosus IMC501; DNA damage was induced by one representative food mutagen, 2-amino-1-methyl-6-phenylimidazo[4,5-b]pyridine (PhIP). Mice were treated orally with suspensions of lactobacilli for 10 days before administration of food mutagen. During the treatment, the abundance of lactobacilli in feces, as assessed by qPCR analysis, increased, whereas ${\beta}$-glucuronidase and N-acetyl-${\beta}$-glucosaminidase activities decreased. The extent of DNA damage was measured in colon and liver cells by comet assay. In colonocytes, diet supplementation with IMC501 resulted in a significant inhibition of DNA damage induced by PhIP. The results obtained in this in vitro study suggest that Lactobacillus rhamnosus IMC501 used as a dietary supplement can provide a useful integration of antimutagen food components of the normal diet, which are generally lower than the protective level.

Effect of electrical stimulation on disused rat soleus (전기자극이 흰쥐의 가자미근 무용성 위축에 미치는 영향)

  • Bae Sung Soo;Park Rae Joon;Kim Jin Sang;Park Sang OK
    • The Journal of Korean Physical Therapy
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    • v.3 no.1
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    • pp.175-188
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    • 1991
  • A study was performed to investigate the effect of electrical stimulation on disused rat soleus muscle, of male rat. The animal's hindlimbs were immobilized 4weeks by plaster of paris, and stimulated with E. S. T for 4weeks (20min/day) The changes on soleus were examined with histochemical, histological, and morphometric method. The results are summarized as follows. 1. Disued atrophy group from immobilization, which margin of sarcolemma and myofibril in sarcoplasm were not cleared, also degenerated from necrosis with phagocytosis. 2. The numbers of nuclear were much increased and accumulation of nuclear were finded, and relatively muscular atrophic changed. 3. Increased inflammatory cyte, also finded neutrophil and macrophage. 4. Relatively atrophic changed from severe fibrosis by incleased connectivetissue. 5. The glycogen granules were much decreased in E. S. T group. It means that electrical stimulation effected the muscle exercise. 6, The activity of the NADH-TR reaction of E. S. T. Tgroup were white muscle group are transformed into red muscle fiber than normal group. 7. These results indicate that the electrical stimulation effected to soleus also prevention and delayed muscular atrophy.

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E3 ubiquitin ligases and deubiquitinases as modulators of TRAIL-mediated extrinsic apoptotic signaling pathway

  • Woo, Seon Min;Kwon, Taeg Kyu
    • BMB Reports
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    • v.52 no.2
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    • pp.119-126
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    • 2019
  • The tumor necrosis factor (TNF)-related apoptosis-inducing ligand (TRAIL) initiates the extrinsic apoptotic pathway through formation of the death-inducing signaling complex (DISC), followed by activation of effector caspases. TRAIL receptors are composed of death receptors (DR4 and DR5), decoy receptors (DcR1 and DcR2), and osteoprotegerin. Among them, only DRs activate apoptotic signaling by TRAIL. Since the levels of DR expressions are higher in cancer cells than in normal cells, TRAIL selectively activates apoptotic signaling pathway in cancer cells. However, multiple mechanisms, including down-regulation of DR expression and pro-apoptotic proteins, and up-regulation of anti-apoptotic proteins, make cancer cells TRAIL-resistant. Therefore, many researchers have investigated strategies to overcome TRAIL resistance. In this review, we focus on protein regulation in relation to extrinsic apoptotic signaling pathways via ubiquitination. The ubiquitin proteasome system (UPS) is an important process in control of protein degradation and stabilization, and regulates proliferation and apoptosis in cancer cells. The level of ubiquitination of proteins is determined by the balance of E3 ubiquitin ligases and deubiquitinases (DUBs), which determine protein stability. Regulation of the UPS may be an attractive target for enhancement of TRAIL-induced apoptosis. Our review provides insight to increasing sensitivity to TRAIL-mediated apoptosis through control of post-translational protein expression.