• Title/Summary/Keyword: Fox H-function

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ON A CLASS OF GENERALIZED FUNCTIONS FOR SOME INTEGRAL TRANSFORM ENFOLDING KERNELS OF MEIJER G FUNCTION TYPE

  • Al-Omari, Shrideh Khalaf
    • Communications of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.515-525
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    • 2018
  • In this paper, we investigate a modified $G^2$ transform on a class of Boehmians. We prove the axioms which are necessary for establishing the $G^2$ class of Boehmians. Addition, scalar multiplication, convolution, differentiation and convergence in the derived spaces have been defined. The extended $G^2$ transform of a Boehmian is given as a one-to-one onto mapping that is continuous with respect to certain convergence in the defined spaces. The inverse problem is also discussed.

SOME BILATERAL GENERATING FUNCTIONS INVOLVING THE CHAN-CHYAN-SRIVASTAVA POLYNOMIALS AND SOME GENERAL CLASSES OF MULTIVARIABLE POLYNOMIALS

  • Gaboury, Sebastien;Ozarslan, Mehmet Ali;Tremblay, Richard
    • Communications of the Korean Mathematical Society
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    • v.28 no.4
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    • pp.783-797
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    • 2013
  • Recently, Liu et al. [Bilateral generating functions for the Chan-Chyan-Srivastava polynomials and the generalized Lauricella function, Integral Transform Spec. Funct. 23 (2012), no. 7, 539-549] investigated, in several interesting papers, some various families of bilateral generating functions involving the Chan-Chyan-Srivastava polynomials. The aim of this present paper is to obtain some bilateral generating functions involving the Chan-Chyan-Sriavastava polynomials and three general classes of multivariable polynomials introduced earlier by Srivastava in [A contour integral involving Fox's H-function, Indian J. Math. 14 (1972), 1-6], [A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials, Pacific J. Math. 117 (1985), 183-191] and by Kaano$\breve{g}$lu and $\ddot{O}$zarslan in [Two-sided generating functions for certain class of r-variable polynomials, Mathematical and Computer Modelling 54 (2011), 625-631]. Special cases involving the (Srivastava-Daoust) generalized Lauricella functions are also given.

Gut Microbiota-Derived Short-Chain Fatty Acids, T Cells, and Inflammation

  • Kim, Chang H.;Park, Jeongho;Kim, Myunghoo
    • IMMUNE NETWORK
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    • v.14 no.6
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    • pp.277-288
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    • 2014
  • T cells are central players in the regulation of adaptive immunity and immune tolerance. In the periphery, T cell differentiation for maturation and effector function is regulated by a number of factors. Various factors such as antigens, co-stimulation signals, and cytokines regulate T cell differentiation into functionally specialized effector and regulatory T cells. Other factors such as nutrients, micronutrients, nuclear hormones and microbial products provide important environmental cues for T cell differentiation. A mounting body of evidence indicates that the microbial metabolites short-chain fatty acids (SCFAs) have profound effects on T cells and directly and indirectly regulate their differentiation. We review the current status of our understanding of SCFA functions in regulation of peripheral T cell activity and discuss their impact on tissue inflammation.

Effects of polysaccharide (polycan) derived from black yeast in dexamethasone-induced muscle atrophy cell model (Dexamethasone으로 유도한 근위축 세포모델에서 흑효모 배양물 유래 polycan의 근위축 개선에 대한 효과)

  • Hwang, Su-Jin;Lim, Jong-Min;Ku, Bon-Hwa;Cheon, Da-Mi;Jung, Yu Jin;Kim, Young-Suk;Oh, Tae Woo
    • Herbal Formula Science
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    • v.29 no.1
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    • pp.45-55
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    • 2021
  • Objectives : This study was conducted to evaluate the anti-atrophic effect of polycan in dexamethasone-induced skeletal muscle atrophy in vitro model. Methods : C2C12 myoblast were differentiated into myotube by 2% horese serum medium for 6 days, and then treated polycan extract at different concentrations for 24h. The effect of dexamethasone on the induction of muscle atrophy and expression of atrophy-related genes in differentiated C2C12 myotubes using a GSH, ROS, real-time PCR, western blots analysis. Results : The results showed that Treatment with polycan (100 and 200 ㎍/㎖) noncytotoxic levels on both myoblast and myotube. Polycan decreased the ROS level overproduced with dexamethasone and improved the depletion of GSH level. Dexamethasone showed a decrease in myotube diameter, which was associated with up-regulation muscle-specific ubiquitin ligases markers, such as atrogin-1, FoxO3, myostatin and muscle RING finger-1 (MuRF1), and down-regulation of myogenin, MEF2, Myogenic regulatory factor 5, 6 and MyoD. The results showed that polycan treatment significantly dose-dependently inhibited it. Furthermore, decreased expressions of PI3K/Akt signal pathway by dexamethasone were reversed by treatment with polycan. Conclusions : Thus, polycan suppresses dexamethasone induced muscle atrophy in C2C12 myotube in vitro model through activation of PI3K/Akt pathway and protective effect of improve skeletal muscle function.