• Journal of the Korean Mathematical Society
• /
• v.53 no.5
• /
• pp.1183-1210
• /
• 2016

During the past four decades or so, due mainly to a wide range of applications from natural sciences to social sciences, the so-called fractional calculus has attracted an enormous attention of a large number of researchers. Many fractional calculus operators, especially, involving various special functions, have been extensively investigated and widely applied. Here, in this paper, in a systematic manner, we aim to establish certain image formulas of various fractional integral operators involving diverse types of generalized hypergeometric functions, which are mainly expressed in terms of Hadamard product. Some interesting special cases of our main results are also considered and relevant connections of some results presented here with those earlier ones are also pointed out.

• The Korean Journal of Malacology
• /
• v.25 no.1
• /
• pp.15-22
• /
• 2009

Because it is known that bivalve hearts contain various modulatory systems activated by neuroendocrine substances, it was examined whether different classes of endogenous and synthetic drugs of neuroendocrinological importance can influence cardiac functions of the Pacific oyster Crassostrea gigas. Cholinergically active agents acetylcholine and carbachol increased heart rates while diminishing cardiac contractility. Adrenergically active substances norepinephrine (NE) and epinephrine (Epi) also induced heart rate increase and contractility decrease. An $\alpha_1$-adrenergic receptor-selective agonist phenyephrine (PE) failed to modulate either parameter. The Epi-induced heart rate increase and contractile depression were both blocked significantly by non-selective $\beta_1/\beta_2$-adrenergic antagonist propranolol. A $\beta_1$-selective antagonist atenolol prevented Epi-induced heart rate decrease but not the contractile depression, suggesting possible $\beta_2$ receptors for Epi-induced contractile depression. The three autacoids examined exerted discrete responses: histamine increased heart rate and depressed contraction; $\gamma$-amino-butyric acid increased both parameters; serotonin failed to change either parameter. The 5 piscine anesthetic agents examined, MS-222, benzocaine, quinaldine, urethane, pantocaine and pentobarbital, all failed to influence the cardiac function of oysters. Collectively, activities of neuroendocrinologically acting agents in mammals showed unexpected and distinct activities from those in mammalian cardiovascular systems. These results obtained from substances of different physiological functions can serve as a basis for understanding neuroendocrine control of the heart function in Pacific oyster.

• Journal of Life Science
• /
• v.19 no.11
• /
• pp.1637-1643
• /
• 2009

Shikonin, a component of Lithospermum erythrorhizon Sieb. et Zucc, exerts various characteristics such as anti-inflammatory, anti-cancer and anti-obesity functions. To elucidate the molecular mechanism of shikonin-induced inhibition of adipogenesis, we analyzed the mRNA expression level of various adipogenesis-related factors including C/EBPs (CCAAT/enhancerbinding proteins) and $PPAR{\gamma}$ (peroxisome proliferator-activated receptor $\gamma$). The data showed that mRNA expressions of C/$EBP{\beta}$ and C/$EPB{\delta}$ were only slightly changed by shikonin treatment, but mRNA expressions of $PPAR{\gamma}$ and C/$EPB{\alpha}$ were significantly down-regulated. Then, we tested whether upstream regulators of C/$EBP{\beta}$ and $PPAR{\gamma}$ were involved in anti-adipogenesis of shikonin. C/$EBP{\gamma}$ and CHOP (C/EBP homologous protein), which are upstream regulators of C/$EBP{\beta}$, were not affected by shikonin treatment. On the contrary, the mRNA level of KROX20 was markedly down-regulated by shikonin treatment. These results suggest that KROX20 might regulate downstream factors of adipogenesis through C/$EBP{\beta}$-independent pathway. The expression of KLF15 (Kruppel-like factor15), which is a member of KLF family and is a upstream regulator of $PPAR{\gamma}$, was dramatically decreased by shikonin treatment, but KLF2 was not changed. Shikonin had no impact on the expression of KLF5 in the early stage of adipogenesis, but shikonin increased expression of KLF5 in the late stage of adipogenesis. Even though mRNA expression of KLF5 was moderately changed by shikonin treatment, its effect may be small compared with the effect of KLF15, which was markedly inhibited. Taken together, these results suggest that shikonin inhibits adipogenesis through the down-regulation of $PPAR{\gamma}$ and C/$EPB{\alpha}$, which is mediated by the down-regulation of two pro-adipogenic factors, KROX20 and KLF15.

• Communications of the Korean Mathematical Society
• /
• v.33 no.1
• /
• pp.143-155
• /
• 2018

In this present paper, our aim is to introduce an extended Wright-Bessel function $J^{{\lambda},{\gamma},c}_{{\alpha},q}(z)$ which is established with the help of the extended beta function. Also, we investigate certain integral transforms and generalized integration formulas for the newly defined extended Wright-Bessel function $J^{{\lambda},{\gamma},c}_{{\alpha},q}(z)$ and the obtained results are expressed in terms of Fox-Wright function. Some interesting special cases involving an extended Mittag-Leffler functions are deduced.

• Communications of the Korean Mathematical Society
• /
• v.33 no.2
• /
• pp.549-560
• /
• 2018

Since Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903, due to its usefulness and diverse applications, a variety and large number of its extensions (and generalizations) and variants have been presented and investigated. In this sequel, we aim to introduce a new extension of the Mittag-Leffler function by using a known extended beta function. Then we investigate ceratin useful properties and formulas associated with the extended Mittag-Leffler function such as integral representation, Mellin transform, recurrence relation, and derivative formulas. We also introduce an extended Riemann-Liouville fractional derivative to present a fractional derivative formula for a known extended Mittag-Leffler function, the result of which is expressed in terms of the new extended Mittag-Leffler functions.

• IMMUNE NETWORK
• /
• v.3 no.1
• /
• pp.61-68
• /
• 2003

Background: Fibroblast functions both as a structural element and as a vital immunoregulatory cell. Fibroblasts regulate inflammation through governing of chemokine expression. In order to elucidate the mechanisms by which the expressions of chemokines were regulated, the co-stimulatory effects of Th1 and proinflammatory cytokines were compared using nasal mucosal fibroblasts. Methods: Human nasal mucosa was obtained from surgery for septal deviation and the growth of fibroblasts was established. Fibroblasts from 4th to 6th passage were stimulated with various combinations of cytokines. To inhibit selected signaling pathways, fibroblasts were pretreated with cyclosporin A, wortmannin, staurosporine, and dexamethasone prior to the stimulation with cytokines. The supernatants were collected and chemokines were detected with a sandwich enzyme-linked immunosorbent assay. Results: $TNF-{\alpha}/IFN-{\gamma}$-induced production of RANTES was inhibited by all inhibitors used. MCP-1 was produced constitutively and $TNF-{\alpha}$-induced or $TNF-{\alpha}/IFN-{\gamma}$-induced production of MCP-1 was not inhibited by cyclosporin A or wortmannin, but by stauroporine or dexamethasone. All inhibitors used in this experiment inhibited $TNF-{\alpha}/IFN-{\gamma}$-induced or $IL-1{\beta}/IFN-{\gamma}$-induced production of MCP-2 in nasal mucosal fibroblasts. Although staurosporine or dexamethasone showed strong inhibitory effects, cyclosporin A or wortmannin did not inhibit the production of MCP-3 by $IL-1{\beta}/IFN-{\gamma}$ treatment. Conclusion: Chemokines were strongly induced by stimulation of cytokines in combination and showed different pattern of inhibition by the inhibitors. Therefore, it was assumed that cytokines acted on multiple pathways or on unknown pathways which converged to gene-specific transcription factors.

• Journal of Microbiology and Biotechnology
• /
• v.27 no.5
• /
• pp.869-877
• /
• 2017

Lactic acid bacteria (LAB) are used as fermentation starters in vegetable and dairy products and influence the pH and flavors of foods. For many centuries, LAB have been used to manufacture fermented foods; therefore, they are generally regarded as safe. LAB produce various substances, such as lactic acid, ${\beta}$-glucosidase, and ${\beta}$-galactosidase, making them useful as fermentation starters. Existing functional substances have been assessed as fermentation substrates for better component bioavailability or other functions. Representative materials that were bioconverted using LAB have been reported and include minor ginsenosides, ${\gamma}$-aminobutyric acid, equol, aglycones, bioactive isoflavones, genistein, and daidzein, among others. Fermentation mainly involves polyphenol and polysaccharide substrates and is conducted using bacterial strains such as Streptococcus thermophilus, Lactobacillus plantarum, and Bifidobacterium sp. In this review, we summarize recent studies of bioconversion using LAB and discuss future directions for this field.

• Journal of the Chungcheong Mathematical Society
• /
• v.26 no.4
• /
• pp.769-780
• /
• 2013

Motivated essentially by their potential for applications in a wide range of mathematical and physical problems, the log-sine and log-cosine integrals have been evaluated, in the existing literature on the subject, in many different ways. Very recently, Choi [6] presented explicit evaluations of some families of log-sine and log-cosine integrals by making use of the familiar Beta function. In the present sequel to the investigation [6], we evaluate the log-sine and log-cosine integrals involved in more complicated integrands than those in [6], by also using the Beta function.

• Journal of applied mathematics & informatics
• /
• v.40 no.1_2
• /
• pp.205-213
• /
• 2022

In this paper we give a simple and direct proof of an Euler integral representation for a special class of _q+1F_q,k k-hypergeometric functions for q ≥ 2. The values of certain ₃F_2,k and ₄F_3,k functions at $x=\frac{1}{k}$, some of which can be derived using other methods. We may conclude that for k = 1 the results are reduced to [3].

• Environmental Analysis Health and Toxicology
• /
• v.15 no.3
• /
• pp.69-80
• /
• 2000

ADP-rubosylation may be involved in the process of macrophage activation. Nitric oxide (NO) has emerged as an important intracellular and interacellular regulatory molecule with function as diverse as vasodilation, neural communication or host defense. NO is derived from the oxidation of the terminal guanidino nitrogen atom of L-arginine by the NADPH -dependent enzyme, nitric oxide synthase (NOS) which is one of the three different isomers in mammalian tissues. Since NO can exert protective or regulatory functions in the cell at a low concentration while toxic effects at higher concentrations, its role may be tightly regulated in the cell. Therefore, this paper was focused on signal transduction pathway of NO synthesis, role of endogenous TGF-$\beta$ in NO production. effect of NO on superoxide formation. Costimulation of murine peritoneal macrophages with interferon-gamma (IFN-γ) and phorbol 12-myristate 13-acetate (PMA) increased both NO secretion and mRNA expression of inducible nitric oxide synthase (iNOS) when PMA abolished costimulation. Pretreatmnet of the cells with PMA abolished costimuation effects due to the depletion of protein kinase C (PKC) activities . The involvement of PKC in NO secretion could be further confirmed by PKC inhibitor, stauroprine, and phorbol ester derivative, phorbol 12,13-didecanoate. Addition of actinomycine D in IFN-γ plus PMA stimulated cells inhibited both NO secretion and mRNA expression of iNOS indication that PMA stabilizes mRNA of iNOS . Exogenous TGF-$\beta$ reduced NO secretion in IFN -γ stimulated murine macrophages. However addition of antisense oligodeoxynucleotide (ODN) to TGF-$\beta$ to this system recovered the ability of NO production and inhibited mRNA expression of TGF-$\beta$. ACAS interactive laser cytometry analysis showed that transportation of FITC -labeled antisense ODN complementary to TGF-$\beta$ mRNA could be observed within 5 min and reached maximal intensity in 30 min in the murine macrophage cells. NO released by activated macrophages inhibits superoxide formation in the same cells . This inhibition nay be related on NO-induced auto -adenosine diphosphate (ADP) -ribosylation . In addition, ADP-ribosylation may be involved in the process of macrophage activation .