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SEVERAL STABILITY PROBLEMS OF A QUADRATIC FUNCTIONAL EQUATION

  • Cho, In-Goo;Koh, Hee-Jeong
    • Communications of the Korean Mathematical Society
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    • v.26 no.1
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    • pp.99-113
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    • 2011
  • In this paper, we investigate the stability using shadowing property in Abelian metric group and the generalized Hyers-Ulam-Rassias stability in Banach spaces of a quadratic functional equation, $f(x_1+x_2+x_3+x_4)+f(-x_1+x_2-x_3+x_4)+f(-x_1+x_2+x_3)+f(-x_2+x_3+x_4)+f(-x_3+x_4+x_1)+f(-x_4+x_1+x_2)=5{\sum\limits_{i=1}^4}f(x_i)$. Also, we study the stability using the alternative fixed point theory of the functional equation in Banach spaces.

Chest X-ray Findings and Serum Tumor Necrosis Factor-αLevels in Patients with Kawasaki Disease (가와사끼병 환아에서 흉부 X-선 검사의 변화와 혈중 Tumor Necrosis Factor-α에 대한 연구)

  • Kim, Ji Young;Kwon, Jung Hyun;Kim, Kyung Hyo;Yu, Jung Hyun;Hong, Young Mi
    • Clinical and Experimental Pediatrics
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    • v.48 no.5
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    • pp.534-538
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    • 2005
  • Purpose : Kawasaki disease(KD) is a multisystemic inflammatory vasculitis of unknown etiology. Many complications other than cardiovascular involvement have been recognized in KD. However, there have been few reports published concerning involvement of the lungs in this disease. The purpose of this study was to examine the relationship between serum TNF-${\alpha}$, the degree of coronary artery dilatation and chest X-ray(CXR) findings. In addition, we have investigated serum anti-Mycoplasma antibody(AMA) titers in patients with KD who have abnormal CXR findings. Methods : Eighty four patients with KD were included in this study(group I; 41 patients with normal CXR fndings, group II; 43 patients with abnormal CXR findings). Serum levels of TNF-${\alpha}$ and AMA titer were measured. Results : We reviewed the CXR findings and clinical courses of 84 patients with Kawasaki disease and found abnormal CXR findings in 43 patients(51.2 percent). Peribronchial cuffing was the most frequent abnormality(22.4 percent). In the group with abnormal CXR findings(group II), a statistical difference was not noted in age, sex, duration of fever, hemoglobin, WBC, platelet, ESR, and CRP levels and incidence of coronary arterial lesions as compared with the group having normal CXR findings(group I). No difference was noted in serum TNF-${\alpha}$ level between group I and group II. 2 patients(12.5 percent) of 16 KD patients with abnormal CXR findings have positive AMA titer(above 1 : 320). Conclusion : Most of the abnormal CXR findings in KD patients were peribronchial cuffing. The abnormal CXR findings in KD patients did not mean severe inflammations. It is difficult to consider that CXR abnormalities are related to coronary arterial lesions. In addition, further study on the relationship between Mycoplasma infection and Kawasaki disease is needed.

Anti-tumor Effect of Combined Betacarotene with X-irradiation in the Mouse Fibrosarcoma : Cytotoxicity and Tumor Growth Delay (쥐 섬유육종에서 베타카로틴과 방사선조사 병용의 항종양 효과: 세포독성 및 종양성장 지연에 미치는 영향)

  • Kwon Hyoung-Cheol;Yang Moon-Sik
    • Radiation Oncology Journal
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    • v.18 no.2
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    • pp.133-137
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    • 2000
  • Purpose :To investigate whether combined beta-carotene with X-Irradiation has more enhanced radition response than X-irradiation or not, we peformed a experiment about in vitro cytotoxlcity of beta-carotene and/or X-irradiation in the fibrosarcoma cells, tumor growth delay of combined beta-caroten with/or X-irradiation in the mouse fibrosarcoma. Materials and Methods : 2$\%$ emulsion of beta-carotene was serially diluted and used. X-Irradiation was given by 6 MeV linear accelerator. The cytotoxicity of beta-carotene in vitro was evaluated from clonogenic assay. To compare the cytotoxiclty between combined beta-carotene with X-irradiation and X-irradiation group, 2 mg/ml of beta-carotene was contacted to fibrosarcoma (FSall) cells for 1 hour before X-irradiation. For the tumor growth delay, single 20 Gy was given to FSall tumor hearing C3H/N mice whic was classified as beta-crotene with X-irradiation group (n=5) and X-irradiation alone group (n=5). 0.2 ml of 20 mg/kg of beta-carotene were i.p. injected to mice 30 minute before X-irradiation in the beta-crotene with X-irradiation group. The tumor growth delay defined as the time which reach to 1,000 mm$^{3}$ of tumor volume. Results : (1) Cytotoxicity in vitro: 1) survival fraction at beta-carotene concentration of 0.002,0.02,0.2 and 2 mg/ml were 0.69$\pm$0.07, 0.59$\pm$0.08, 0.08$\pm$0.008 and 0.02$\pm$0.006, respectively. 2) each survival fraction at 2, 4, 6 and 8 Gy in the 2 mg/ml of beta-carotene + X-irradiation group were 0.13$\pm$0.05, 0.03$\pm$0.005, 0.01 $\pm$0.002 and 0.009$\pm$0.0008, respectively. But each survival fraction at same irradiation dose in the X-irradiation group were 0.66$\pm$0.05, 0.40$\pm$0.04, 0.11$\pm$0.01 and 0.03$\pm$0.006, respectively(p<0.05). (2) The time which reach to 1,000 mm$^{3}$ of tumor volume of beta-carotene + X-irradiation group and X-irradiation alone group were 18, 19 days, respectively(p>0.05) Conclusion : The contact of beta-caroten to Fsall cells showed mild cytotoxicity which 띤as increased according to concentration. The cytotoxicity of combined beta-carotene with X-irradiation more increased than that of X-irradiation, additionally, And there was significant difference of cytotoxicity between two groups. But there were no significant difference of the growth delay of fibrosarcoma between two groups.

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Effect of X-ray Irradiation on the Pulmonary Surfactant in Rabbits (흉부(胸部) X-선조사(線照射)가 가토폐포(家兎肺胞) 표면활성물질(表面活性物質)에 미치는 영향(影響))

  • Lee, Chull
    • The Korean Journal of Physiology
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    • v.2 no.2
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    • pp.63-73
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    • 1968
  • It is well known that mammalian alveolar membrane is covered with a very thin layer of surfactant film which characteristically reduces surface tension of alveolar membrane, and maintains alveolar stability. Since Clements in 1957 demonstrated that the surfactant is extractable by mincing the lung tissue in saline, various studies on the subject have been succeeded by many workers. However, the effect of radiation on the surfactant is not well clarified. Present study was attempted to observe the effect of x-irradiation on the activity of surfactant in rabbits. X-ray in dose of 300 r, 600 r or 900 r was irradiated to the chest of rabbits. The lung was removed from normal or irradiated rabbits sacrificed by arterial blood shedding, and lung-saline extract, adding 3 grams of lung tissue to 50 mili-liters of saline, was prepared by means of Vertis homogenizer. Tension-area diagram of lung extract was recorded automatically by a modified Langmuir-Wilhelmy balance with a synchronized recording system designed in this department. The surface tension of lung extract was measured at 1st, 2 nd, 3 rd, 7 th and 15 th post-radiation day in 300 r irradiated group, at 3 rd, 7 th and 15 th post-radiation day in 600 r irradiated group, 3 rd and 7 th post-radiation day in 900 r irradiated group respectively. For the histo-pathological study, lung tissue preparations were made in all irradiatiated groups on the day of experiment and in normal group. The results obtained are summarized as follows: 1. The minimal surface tension, maximal surface tension and stability index of normal rabbits lung extracts were 7.68 dynes/cm, 38.84 dynes/cm, and 1.39 respectively. 2. The activity of surfactant was depressed prominently by x-irradiation. However, increase in the dose of x-irradiation did not show any significant change in the degree of surfactant activity suppression. The most marked depression in surfactant was observed at the third post-radiation day in all irradiated groups. 3. Activity of surfactant depressed by x-irradiation showed a tendency of recovering to normal on 15 th post-radiation day. 4. The tendency of change in activity of surfactant following x-irradiation was somewhat correlative with histo-pathological changes. But the degree of depression of surfactant by x-irradiation did not correspond to the degree of histo-pathological changes, and recovery of lung tissue from radiation damage, tissue edema and congestion, seemed to be followed by restoration of surfactant activity. 5. The width of the tension-area diagram was measured at the surface area of 40% in lung extract of normal and x-irradiated rabbits. And it was found that the changes of the width corresponded well with that of minimum surface tension and of stability index in all normal and x-irradiated groups.

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Xanthomonas euvesicatoria Causes Bacterial Spot Disease on Pepper Plant in Korea

  • Kyeon, Min-Seong;Son, Soo-Hyeong;Noh, Young-Hee;Kim, Yong-Eon;Lee, Hyok-In;Cha, Jae-Soon
    • The Plant Pathology Journal
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    • v.32 no.5
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    • pp.431-440
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    • 2016
  • In 2004, bacterial spot-causing xanthomonads (BSX) were reclassified into 4 species-Xanthomonas euvesicatoria, X. vesicatoria, X. perforans, and X. gardneri. Bacterial spot disease on pepper plant in Korea is known to be caused by both X. axonopodis pv. vesicatoria and X. vesicatoria. Here, we reidentified the pathogen causing bacterial spots on pepper plant based on the new classification. Accordingly, 72 pathogenic isolates were obtained from the lesions on pepper plants at 42 different locations. All isolates were negative for pectolytic activity. Five isolates were positive for amylolytic activity. All of the Korean pepper isolates had a 32 kDa-protein unique to X. euvesicatoria and had the same band pattern of the rpoB gene as that of X. euvesicatoria and X. perforans as indicated by PCR-restriction fragment length polymorphism analysis. A phylogenetic tree of 16S rDNA sequences showed that all of the Korean pepper plant isolates fit into the same group as did all the reference strains of X. euvesicatoria and X. perforans. A phylogenetic tree of the nucleotide sequences of 3 housekeeping genes-gapA, gyrB, and lepA showed that all of the Korean pepper plant isolates fit into the same group as did all of the references strains of X. euvesicatoria. Based on the phenotypic and genotypic characteristics, we identified the pathogen as X. euvesicatoria. Neither X. vesicatoria, the known pathogen of pepper bacterial spot, nor X. perforans, the known pathogen of tomato plant, was isolated. Thus, we suggest that the pathogen causing bacterial spot disease of pepper plants in Korea is X. euvesicatoria.

The Protective Effect of Red Ginseng(RG) Extracts on the Liver of Mice by X-ray Irradiation and Medication of Paraquat Orally (방사선 조사 및 Paraquat투여를 한 생쥐 간에 대한 홍삼의 보호 효과)

  • Ko, InHo;Yeo, JinDong
    • Journal of the Korean Society of Radiology
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    • v.8 no.3
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    • pp.137-145
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    • 2014
  • The protective effects of Red Ginseng on liver damage induced by linac X-ray and paraquat were investigated. To one group of ICR male mice were given in Red Ginseng(200mg/kg/day for 7days, orally) before 5Gy(1.01Gy/min) dose of linac X-ray irradiation. To another group were given in Red Ginseng (200mg/kg/day for 7days, orally) before paraquat(30mg/kg/day, orally) was Radiation irradiation group were given with saline(0.1ml) and 5Gy. Contrast group were given with saline(0.1ml). The levels of H2O2, catalase and MDA in liver tissue were measured. In Red Ginseng to paraquat(RG+PQ) group and Red Ginseng(RG+Rad) group than irradiation group(Rad), the catalase level were significantly increased, and the catalase levels were appeared at radiation protection. The Red Ginseng was significantly decreased to MDA and H2O2 level to paraquat(RG+PQ) group and Red Ginseng(RG+Rad) group than irradiation group(Rad). Therefore, Red Ginseng was very excellent protector on radiation and paraquat of liver in mice.

The Effect of Injinchunggantang-derivative on Proliferation of Hepatocyte (인진청간탕가미방(茵蔯淸肝湯加味方)이 간세포(肝細胞)의 증식능력(增殖能力)에 미치는 영향(影響))

  • Park, Yong-Jin;Kim, Young-Chul;Lee, Jang-Hoon;Woo, Hong-Jung
    • The Journal of Korean Medicine
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    • v.19 no.1
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    • pp.145-164
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    • 1998
  • The purpose of this study is to evaluate the effect of Injinchunggantang-derivative on proliferation of hepatocyte in rats. Cell viability is studied by MTI assay. The gene related to cell replication such as p53, waf1, bcl-2 and $bcl-_{X_L}$ is quantitized by quantitative RT-PCR and the proteins coded by these genes are studied by Western blotting. The results are as follows. 1. The hepatocytes cultured in medium with lnjinchunggantang-derivative showed better viability compared with control grroup in MTI assay, and the hepatocytes cultured in medium with the Injinchunggantang-derivative-and-ethanol-mixed group showed better viability than the hepatocytes cultrued in 10% ethanol culture medium(control group), noting that Injinchunggantang-derivative has protective effect on hepatocyte injury. There was no dose- and time-dependence. 2. In quantitative RT-PCR, i) Bel-2 gene increased significantly both in Injinchunggantang-derivative group and in Injinchunggantang-derivative-and-ethanol-mixed group, while it showed no significant increase or decrease in other group. ii) $Bcl-_{X_L}$ gene increased significantly in Injinchunggantang-derivative group as well as in Injinchunggantang-deri vative-and-ethanol -mixed group. iii) P53 gene showed no significant increase or decrease in hepatocytes cultured in medium with 10% ethanol and in hepatocytes cultured in medium with Injinchunggantang-derivative-and-ethanol-mixed group, suggesting that 10% ethanol induced cell toxicity, thus increased p53 gene expression. iv) Wafl gene showed no significant increase or decrease in hepatocytes cutured in medium with Injinchtrnggantang-derivative, while increased in hepatocytes cultured in medium with 10% ethanol and in hepatocytes cultured in medium with Injinchtrnggantang-derivative-andethanol-mixed group, suggesting that 10% ethanol induced cell toxicity increased wafl gene expression. 3. In the study on protein by western blotting, the band of bcl-2 and $bcl-_{X_L}$ were widened in Injinchtrnggantang-derivative group. Especially the amount of $bcl-_{X_L}$ increased significantly compared with other groups. But in the study on p53 and wafl, there was no significant difference among those groups. Above study shows that Injinchunggantang-derivative has good effect on cell viability and that the genes resistant to cell death such as bcl-2 and $bcl-_{X_L}$ are induced by Injinchunggantang-derivative to resist to cell death by toxic agent And this is reconfirmed in protein study using' western blotting: These results suggest that Injinchunggantang-derivative has inhibitory effect on cell death as well as protective effect on hepatocyte. Therefore this prescription is recommended in various liver diseases such as chronic liver disease and-induced hepatic injury.

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A Study of Conspicuous Clothing Consumption Behavior of Korean Female X-generation consumer (신세대 여성의 과시적 의복소비 행동에 관한 연구)

  • 김선영;최선형
    • Journal of the Korean Society of Costume
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    • v.50 no.7
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    • pp.141-153
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    • 2000
  • The purposes of this study are to segment female X-generation consumers by the types of conspicuous clothing consumption behavior and to examine the differences among consumer groups with self-respect, the influence of reference group, materialism, and demographic characteristics. A questionnaire was developed and 18-35 year female living in Seoul responded to a questionnaire. The 499 subjects were analyzed. The results can be summarized as follows : Respondents divided into five consumption groups. such as non-conspicuous clothing consumption group, fashion-oriented clothing consumption group, well-known brand and expensive clothing consumption group, imitation c1othing in well-known brand consumption group and imported clothing consumption group. Imitation clothing in well-known brand consumption group. Imported clothing consumption group are the highest average mark in education and family income. Non-conspicuous clothing consumption group is the lowest average mark in education and family Income of five groups. Well-known brand & expensive clothing consumption group is the highest average mark in the influence of reference group, materialism of five groups. Non-conspicuous clothing consumption group is the lowist average mark in the influence of reference group. materialism of five groups.

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The reidemeister numbers on transformation groups

  • Ahn, Soo-Youp;Chung, In-Jae
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.445-455
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    • 1996
  • In this paper we study the Reidemeister number $R(f_G)$ for a self-map $f_G : (X, G) \to (X, G)$ of the transformation group (X,G), as an extenstion of the Reidemeister number R(f) for a self-map $f : X \to X$ of a topological space X.

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Use of a Xanthine-Xanthine Oxidase System on in vitro Maturation and Fertilization in the Pig (돼지난자의 체외성숙과 수정에 있어서 Xanthine-Xanthine Oxidase System의 이용)

  • Sa, S. J;H. T. Cheong;Lee, S. Y.;Lee, J. H.;I. S. Ryu;B. K. Yang;Kim, C. I.;Park, C. K.
    • Korean Journal of Animal Reproduction
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    • v.27 no.1
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    • pp.77-85
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    • 2003
  • This study was undertaken to evaluate the effects of catalase using xanthine (X)-xanthine oxidase (XO) system on in vitro maturation and fertilization in the pig. When follicular oocytes were cultured with X or XO, the maturation rates were not significantly different between in medium with and without catalase despite of different culture periods. However, significantly (P<0.05) higher maturation rates were obtained in culture with X-XO-catalase system. The rates of degenerated oocytes were increased with culture periods prolonged, and were significantly (P<0.05) higher in medium without that than with catalase at 120 h of culture. On the other hand, the parthenogenetic oocytes were observed with high proportions at 72 h of culture, but were not different between the medium with and without catalase at various times of culture. In another experiment, the frozen-thawed boar spermatozoa treated with X-XO system for in vitro fertilization. The penetration rates were higher in medium with that than without catalase during the in vitro fertilization with none (P<0.05), XO and X+XO. On the other hand, when sperm were treated with none, X, XO and X+XO, lipid peroxidation were produced with higher rates in medium without that than with catalase, and consequently the changes in sperm penetration and lipid peroxidation showed opposite patterns. Under the above all conditions, however, sperm-SH group were higher detected by catalase. When the activity of sperm binding to zona pellucida was evaluated through binding to salt-stored porcine oocytes, sperm binding to zona pellucida in control group were higher than in medium with X, XO and X+XO groups. No significant differences, however, were observed between medium with and without catalase. In conclusion, the exposure of follicular oocytes and spermatozoa to X-XO-catalase system may be caused stimulating in vitro maturation and fertilization in the pig.