• Title/Summary/Keyword: beta and gamma functions

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CERTAIN IDENTITIES ASSOCIATED WITH GENERALIZED HYPERGEOMETRIC SERIES AND BINOMIAL COEFFICIENTS

  • Lee, Keum-Sik;Cho, Young-Joon;Choi, June-Sang
    • The Pure and Applied Mathematics
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    • v.8 no.2
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    • pp.127-135
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    • 2001
  • The main object of this paper is to present a transformation formula for a finite series involving $_3F_2$ and some identities associated with the binomial coefficients by making use of the theory of Legendre polynomials $P_{n}$(x) and some summation theorems for hypergeometric functions $_pF_q$. Some integral formulas are also considered.

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Pathway Fractional Integral Formulas Involving Extended Mittag-Leffler Functions in the Kernel

  • Rahman, Gauhar;Nisar, Kottakkaran Sooppy;Choi, Junesang;Mubeen, Shahid;Arshad, Muhammad
    • Kyungpook Mathematical Journal
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    • v.59 no.1
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    • pp.125-134
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    • 2019
  • Since the Mittag-Leffler function was introduced in 1903, a variety of extensions and generalizations with diverse applications have been presented and investigated. In this paper, we aim to introduce some presumably new and remarkably different extensions of the Mittag-Leffler function, and use these to present the pathway fractional integral formulas. We point out relevant connections of some particular cases of our main results with known results.

Functions of Metallothionein Generating Interleukin-10-Producing Regulatory $CD4^{+}T$ Cells Potentiate Suppression of Collagen-Induced Arthritis

  • Huh, Sung-Jin;Lee, Kyu-Heon;Yun, Hye-Sun;Paik, Doo-Jin;Kim, Jung-Mogg;Youn, Jee-Hee
    • Journal of Microbiology and Biotechnology
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    • v.17 no.2
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    • pp.348-358
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    • 2007
  • Metallothionein, a cysteine-rich stress response protein that is naturally induced by a variety of immunologic stressors, has been shown to suppress autoimmune disorders through mechanisms not yet fully defined. In the present study, we examined the underlying mechanisms by which metallothionein might mediate such regulation of autoimmunity. $Na\ddot{i}ve\;CD4^+$ T cells from metallothionein-deficient mice differentiated to produce significantly less IL-10, $TGF-{\gamma}$, and repressor of GATA, but more $IFN-{\gamma}$ and T-bet, when compared with those from wild-type mice. The levels of IL-4 and GATA-3 production were not different between the two groups of mice. Conversely, treatment with exogenous metallothionein during the priming phase drove $na\ddot{i}ve$ wild-type $CD4^+\;T$ cells to differentiate into cells producing more IL-10 and $TGF-{\beta}$, but less $IFN-{\gamma}$ than untreated cells. Metallothionein-primed cells were hyporesponsive to restimulation, and suppressive to T cell proliferation in an IL-10-dependent manner. Lymphocytes from metallothionein-deficient mice displayed significantly elevated levels of AP-1 and JNK activities in response to stimulation compared with those from wild-type controls. Importantly, transgenic mice overexpressing metallothionein exhibited significantly reduced susceptibility to collagen-induced arthritis and enhanced IL-10 level in the serum, relative to their nontransgenic littermates. Taken together, these data suggest that metallothionein is able to promote the generation of IL-10-and $TGF-{\beta}$-producing type 1 regulatory T-like cells by downregulating JNK-dependent AP-1 activity. Thus, metallothionein may play an important role in the regulation of Th1-dependent autoimmune arthritis, and may represent both a potential target for therapeutic manipulation and a critical element in the diagnostic assessment of disease potential.

Antitumor Effect of Soluble ${\beta}$-1,3-Glucan from Agrobacterium sp. R259 KCTC 1019

  • Shim, Jung-Hyun;Sung, Ki-Joong;Cho, Min-Chul;Choi, Won-A;Yang, Young;Lim, Jong-Seok;Yoon, Do-Young
    • Journal of Microbiology and Biotechnology
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    • v.17 no.9
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    • pp.1513-1520
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    • 2007
  • [ ${\beta}$ ]-1,3-Glucans enhance immune reactions such as antitumor, antibacterial, antiviral, anticoagulatory, and wound healing activities. ${\beta}$-1,3-Glucans have various functions depending on the molecular weight, degree of branching, conformation, water solubility, and intermolecular association. The molecular weight of the soluble glucan was about 15,000 as determined by a high-performance size exclusion chromatography. From the infrared (IR) and $^{13}C$ NMR analytical data, the purified soluble glucan was found to exclusively consist of ${\beta}$-D-glucopyranose with 1,3 linkage. We tested the immunestimulating activities of the soluble ${\beta}$-1,3-glucan extracted from Agrobacterium sp. R259 KCTC 1019 and confirmed the following activities. IFN-$_{\gamma}$ and each cytokines were induced in the spleens and thymus of mice treated with soluble ${\beta}$-1,3-glucan. Adjuvant effect was observed on antibody production. Nitric oxide was synthesized in monocytic cell lines treated with ${\beta}$-1,3-glucan. The cytotoxic and antitumor effects were observed on various cancer cell lines and ICR mice. These results strongly suggested that this soluble ${\beta}$-1,3-glucan could be a good candidate for an immune-modulating agent.

A Model for Health Promoting Behaviors in Late-middle Aged Woman (중년후기 여성의 건강증진행위 모형구축)

  • Park, Chai-Soon
    • Women's Health Nursing
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    • v.2 no.2
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    • pp.298-331
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    • 1996
  • Recent improvements in living standard and development in medical care led to an increased interest in life expectancy and personal health, and also led to a more demand for higher quality of life. Thus, the problem of women's health draw a fresh interest nowadays. Since late-middle aged women experience various physical and socio-psychological changes and tend to have chronic illnesses, these women have to take initiatives for their health control by realizing their own responsibility. The basic elements for a healthy life of these women are understanding of their physical and psychological changes and acceptance of these changes. Health promoting behaviors of an individual or a group are actions toward increasing the level of well-being and self-actualization, and are affected by various variables. In Pender's health promoting model, variables are categorized into cognitive factors(individual perceptions), modifying factors, and variables affecting the likelihood for actions, and the model assumes the health promoting behaviors are affected by cognitive factors which are again affected by demographic factors. Since Pender's model was proposed based on a tool broad conceptual frame, many studies done afterwards have included only a limited number of variables of Pender's model. Furthermore, Pender's model did not precisely explain the possibilities of direct and indirect paths effects. The objectives of this study are to evaluate Pender's model and thus propose a model that explains health promoting behaviors among late-middle aged women in order to facilitate nursing intervention for this group of population. The hypothetical model was developed based on the Pender's health promoting model and the findings from past studies on women's health. Data were collected by self-reported questionnaires from 417 women living in Seoul, between July and November 1994. Questionnaires were developed based on instruments of Walker and others' health promotion lifestyle profile, Wallston and others' multidimensional health locus of control, Maoz's menopausal symptom check list and Speake and others' health self-rating scale. IN addition, items measuring self-efficacy were made by the present author based on past studies. In a pretest, the questionnaire items were reliable with Cronbach's alpha ranging from .786 to .934. The models for health promoting behaviors were tested by using structural equation modelling technique with LISREL 7.20. The results were summarized as follows : 1. The overall fit of the hypothetical model to the data was good (chi-square=4.42, df=5, p=.490, GFI=.995, AGFI=.962, RMSR=.024). 2. Paths of the model were modified by considering both its theoretical implication and statistical significance of the parameter estimates. Compared to the hypothetical model, the revised model has become parsimonious and had a better fit to the data (chi-square =4.55, df=6, p=.602, GFI=.995, AGFI=.967, RMSR=.024). 3. The results of statistical testing were as follows : 1) Family function internal health locus of control, self-efficacy, and education level exerted significant effects on health promoting behaviors(${\gamma}_{43}$=.272, T=3.714; ${\beta}_[41}$=.211, T=2.797; ${\beta}_{42}$=.199, T=2.717; ${\gamma}_{41}$=.136, T=1.986). The effect of economic status, physical menopausal symptoms, and perceived health status on health promoting behavior were insignificant(${\gamma}_{42}$=.095, T=1.456; ${\gamma}_{44}$=.101, T=1.143; ${\gamma}_{43}$=.082, T=.967). 2) Family function had a significance direct effect on internal health locus of control (${\gamma}_{13}$=.307, T=3.784). The direct effect of education level on internal health locus of control was insignificant(${\gamma}_{11}$=-.006, T=-.081). 3) The directs effects of family functions & internal health locus of control on self-efficacy were significant(${\gamma}_{23}$=.208, T=2.607; ${\beta}_{21}$=.191, T=2.2693). But education level and economic status did not exert a significant effect on self-efficacy(${\gamma}_{21}$=.137, T=1.814; ${\beta}_{22}$=.137, T=1.814; ${\gamma}_{22}$=.112, T=1.499). 4) Education level had a direct and positive effect on perceived health status, but physical menopausal symptoms had a negative effect on perceived health status and these effects were all significant(${\gamma}_{31}$=.171, T=2.496; ${\gamma}_{34}$=.524, T=-7.120). Internal health locus and self-efficacy had an insignificant direct effect on perceived health status(${\beta}_{31}$=.028, T=.363; ${\beta}_{32}$=.041, T=.557). 5) All predictive variables of health promoting behaviors explained 51.8% of the total variance in the model. The above findings show that health promoting behaviors are explained by personal, environmental and perceptual factors : family function, internal health locus of control, self-efficacy, and education level had stronger effects on health promoting behaviors than predictors in the model. A significant effect of family function on health promoting behaviors reflects an important role of the Korean late-middle aged women in family relationships. Therefore, health professionals first need to have a proper evaluation of family function in order to reflect the family function style into nursing interventions and development of strategies. These interventions and strategies will enhance internal health locus of control and self-efficacy for promoting health behaviors. Possible strategies include management of health promoting programs, use of a health information booklets, and individual health counseling, which will enhance internal health locus of control and self-efficacy of the late-middle aged women by making them aware of health responsibilities and value for oneself. In this study, an insignificant effect of physical menopausal symptoms and perceived health status on health promoting behaviors implies that they are not motive factors for health promoting behaviors. Further analytic researches are required to clarify the influence of physical menopausal symptoms and perceived health status on health promoting behaviors with-middle aged women.

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The Effect of Hydrogen Peroxide on Inducible Nitric Oxide Synthase Expression in Murine Macrophage RA W264.7 Cells (Murine macrophage RAW264.7에서 과산화수소가 유발형 산화질소 합성효소의 발현에 미치는 영향)

  • Ahn, Joong-Hyun;Song, Jeong-Sup
    • Tuberculosis and Respiratory Diseases
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    • v.47 no.2
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    • pp.172-183
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    • 1999
  • Background: Nitric oxide is a short-lived effector molecule derived from L-arginine by the nitric oxide synthase(NOS). Nitric oxide plays a role in a number of physiologic and pathophysiologic functions including host defense, edema formation, and regulation of smooth muscle tone. Some kinds of cells including macrophage are known to produce large quantities of nitric oxide in response to inflammatory stimuli such as interleukin-$1\beta$(IL-$1\beta$), tumor necrosis factor-$\alpha$(TNF-$\alpha$), interferon-$\gamma$(IFN-$\gamma$) and lipopolysaccharide(LPS). Reactive oxygen species are also known to be important in the pathogenesis of acute cell and tissue injury such as acute lung injury model Methods: Using the RA W264.7 cells, we have examined the ability of oxidant hydrogen peroxide($H_2O_2$) to stimulate nitric oxide production and inducible NOS mRNA expression. Also, we have examined the effects of NOS inhibitors and antioxidants on $H_2O_2$ induced nitric oxide production. Results: Stimulation of RAW264.7 cells with combinations of 100 ng/ml IL-$1\beta$, 100 ng/ml TNF-$\alpha$, and 100 U/ml IFN-$\gamma$ or 100 U/ml IFN-$\gamma$ and $1{\mu}g/ml$ LPS induced the synthesis of nitric oxide as measured by the oxidation products nitrite($NO_2^-$) and nitrate($NO_3^-$). Addition of $250 {\mu}M-2$ mM $H_2O_2$ to the cytokines significantly augmented the synthesis of $NO_2^-$ and $NO_3^-$(p<0.05). When cells were incubated with increasing concentrations of $H_2O_2$ in the presence of IL-$1\beta$, TNF-$\alpha$ and IFN-$\gamma$ at constant level, the synthesis of $NO_2^-$ and $NO_3^-$ was dose-dependently increased(p<0.05). $N^G$-nitro-L-arginine methyl ester(L-NAME), dose dependently, significantly inhibited the formation of $NO_2^-$ and $NO_3^-$ in cells stimulated with LPS, IFN-$\gamma$ and $H_2O_2$ at constant level(p<0.05). Catalase significantly inhibited the $H_2O_2$-induced augmentation of cytokine-induced $NO_2^-$ and $NO_3^-$ formation(p<0.05). But, boiled catalase did not produce a significant inhibition in comparison with the native enzyme. Another antioxidant 2-mercaptoethanol and orthophenanthroline dose-dependently suppressed $NO_2^-$ and $NO_3^-$ synthesis(p<0.05). Northern blotting demonstrated that H:02 synergistically stimulated the cytokine-induced iNOS mRNA expression in RA W264.7. Conclusion: These results suggest that $H_2O_2$ contributes to inflammatory process by augmenting the iNOS expression and nitric oxide synthesis induced by cytokines.

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OES Analysis for Diamond Film Growth by Vapor Activation Method Using CH3OH/H2O Gas (CH3OH/H2O 가스의 기상활성법을 이용한 다이아몬드 박막성장 과정에서의 OES분석)

  • Lee, Kwon-Jai;Koh, Jae-Gui;Shin, Jae-Soo
    • Korean Journal of Materials Research
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    • v.13 no.1
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    • pp.31-35
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    • 2003
  • The intensity is measured as functions of both distance from filament to substrate and $CH_3$OH/($CH_3$OH+$H_2$O) ratio by OES(Optical Emission Spectroscopy) to investigate the effects of activation species such as $H_{\alpha}$, $H_{\beta}$, H$\Upsilon\;C_3$, CH on diamond film growth.$ H_{\alpha}$ increases as $CH_3$OH composition decreases, while CH increases as $CH_3$OH composition increases. The intensity of $H_{\alpha}$ decreases as the distance increases and that of CH increases as the distance increases. The intensities of other activation species of $H_{\beta}$, H$\Upsilon\;C_3$, do not vary as a function of measured position distance. It varies randomly. It means that various parameters for depositing diamond thin film can be explained by the intensity(density) change of activation species, as a function of the distance of the filament.

The Distribution of ${\gamma}{\delta}$ T Cells in Tuberculous Lymphadenopathy (결핵성 림프절에서 ${\gamma}{\delta}$ T 림프구의 분포에 관한 연구)

  • Shim, Tae-Sun;Yoo, Chul-Gyu;Kim, Young-Whan;Han, Sung-Koo;Shim, Young-Soo;Kim, Keun-Youl;Han, Yong-Chol
    • Tuberculosis and Respiratory Diseases
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    • v.41 no.5
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    • pp.484-488
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    • 1994
  • Background : The antigen-specific receptor on the surface of most peripheral T lymphocytes is a disulfide-linked heterodimer composed of $\alpha$ and $\gamma$ subunits, noncovalently associated with CD3 polypeptides. Recently, a novel type of CD3-associated heterodimer was described on a T cell subset that does not express CD4 or CD8 molecules. This second type of TCR dimer is composed of chains encoded for by the $\gamma$- and $\delta$-TCR genes. These cells may exert both cytotoxic and lymphokine producing functions. Although it was reported that some ${\gamma}{\delta}$-TCR might recognize an MHC-linked determinant, the funεtion or physiologic ligand for this new receptor is not yet clear. It was found that ${\gamma}{\delta}$-TCR can react with 65 kD heat shock protein of M. tuberculosis, which suggests the possible protective role of ${\gamma}{\delta}$ T lymphocytes against tuberculosis. In our previous study, there was neither the increase in number nor the functional activation of ${\gamma}{\delta}$ T cells in the peripheral blood from patients with pulmonary tuberculosis. Now we report the distribution of ${\gamma}{\delta}$ T cells in the regional sites of M. tuberculosis infection, especial1y tuberculous lymphadenitis. Methods : Lymph nodes from patients with pathologically-proven tuberculous lymphadenopathy (n=5) and reactive hyperplasia (n=3) were used. Tissues were frozen in liquid nitrogen immediately after removal and stored below $-70^{\circ}C$. The cryostat sections of these frozen specimens were stained with anti-Leu-4 Ab, Identi-T TCR ${\delta}1$, and Identi-T ${\beta}F1$. The number of positively stained cells were counted at high power field. Results : The infiltration of ${\gamma}{\delta}$ T cells was significantly higher in the lymph nodes from patients with tuberculous lymphadenopathy than that with reactive hyperplasia ($16.3{\pm}10.3%$ vs. $1.7{\pm}1.5%$). Conclusion : These results suggest that ${\gamma}{\delta}$) T cells may play a role in the defense against M. tuberculosis infection, especially in the regional sites of infection.

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Anti-Tumor and Immunoregulatory Effects of Fermented Papaya Preparation (FPP: SAIDO-PS501)

  • Murakami, Shinki;Eikawa, Shingo;Kaya, Savas;Imao, Mitsuko;Aji, Toshiki
    • Asian Pacific Journal of Cancer Prevention
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    • v.17 no.7
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    • pp.3077-3084
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    • 2016
  • Various beneficial effects have been described for fermented papaya preparation (FPP: SAIDO-PS501) based on its anti-oxidative and anti-inflammatory functions. The present study was designed to determine the effects of FPP on carcinogenesis in vivo, and immunomodulatory function in vitro. Mice were injected with RL male 1 cells subcutaneously or 3-methylcholantherene (MCA) intravenously to induce cancer and orally or intraperitoneally treated with FPP solution. Human peripheral blood mononuclear cells (PBMC) were obtained from healthy volunteers and patients with atopic dermatitis, treated with FPP, and subjected to measurement of cytokine production and changes in Foxp3-expressing regulatory T cell (Treg) stimulated with phytohemagglutinin (PHA). Administration of FPP suppressed tumor size and the incidence of malignancy. In vitro, treatment of PBMC with FPP induced IL-$1{\beta}$, $TNF{\alpha}$ and $IFN{\gamma}$ production. Moreover, FPP suppressed proliferation of PHA-stimulated Foxp3-expressing Treg. These results suggest that FPP has chemotherapeutic properties.

Effects of Cranial Electrotherapy Stimulation on Electrocephalogram

  • Lee, Jeongwoo;Lee, Hyejein;Park, Woongsik
    • Journal of International Academy of Physical Therapy Research
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    • v.10 no.1
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    • pp.1687-1694
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    • 2019
  • Background: Although cranial electrotherapy stimulation (CES) is reported to have positive effects on mental functions such as depression and sleep improvement, detailed studies regarding awakening, attention and concentration among brain waves reflecting brain activity are lacking. Objective: To examine the effects of cranial electrotherapy stimulation (CES) on various electroencephalograms (EEGs) reflecting brain activities. Design: Randomized controlled clinical trial (single blind) Methods: This study selected 30 healthy adult women in their 20s who volunteered for this experiment. A total of 30 subjects were randomly assigned to three groups (Sham group, 0.5 Hz CES group, and 100 Hz CES group). EEGs were measured before and after the single CES, and the results were compared and analyzed. Results: The relative theta, alpha, and gamma waves indicated no significant differences in the interaction effects between time and group. The relative fast alpha wave only showed significant differences in the interaction effects between time and group in P4. The relative slow beta wave only indicated statistically significant differences in the interaction effects between time and group in T3 and T4. The relative mid and fast beta waves showed statistically significant differences in the interaction effects between time and group in all areas. Conclusions: These results suggest that a CES of 0.5 Hz awakens consciousness and has a positive influence on brain activity, while a CES of 100 Hz has a positive influence on thinking activity accompanying mental load during concentrating on one subject.