• 제목/요약/키워드: gamma and beta functions

검색결과 101건 처리시간 0.026초

FRACTIONAL CALCULUS OPERATORS AND THEIR IMAGE FORMULAS

  • Agarwal, Praveen;Choi, Junesang
    • 대한수학회지
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    • 제53권5호
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    • pp.1183-1210
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    • 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.

순환기 기능 조절기능을 가진 신경내분비계 작용물질이 참굴의 심장 수축기능에 미치는 영향 (Effects of Cardiovascularly Acting Neuroendocrine Agents on Heart Beatings of Pacific Oyster, Crassostrea gigas)

  • 박관하
    • 한국패류학회지
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    • 제25권1호
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    • pp.15-22
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    • 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.

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Shikonin에 의한 지방세포형성 억제과정에서의 유전자 발현 연구 (A Study on the Gene Expression in Shikonin-Induced Inhibition of Adipogenesis)

  • 이해용;강련화;정상인;조수현;오동진;윤유식
    • 생명과학회지
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    • 제19권11호
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    • pp.1637-1643
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    • 2009
  • 천연생약 자초의 한 성분인 shikonin은 항염증, 항암 및 항비만 등 다양한 분야에 효과를 보여왔다. 이번 연구에서는 shikonin이유도하는 adipogenesis억제 과정에 어떤 인자들이 작용하는지 살펴보았다. Shikonin의 효과에 대한 분자적 메커니즘을 규명하기 위해, real-time PCR을 이용하여 C/EBPs, $PPAR{\gamma}$를 포함한 다양한 adipogenesis 인자들의 mRNA 발현량을 분석하였다. 그 결과, 초기 분화의 주요 조절자인 C/$EBP{\beta}$와 C/$EPB{\delta}$는 shikonin에 의해 거의 변화가 없었으나, 후기 분화의 주요 조절자인 $PPAR{\gamma}$와 C/$EPB{\alpha}$의 mRNA 발현은 유의하게 감소하였다. Shikonin에 의한 adipogenesis억제의 메커니즘을 좀 더 자세히 밝히기 위해 adipogenesis과정의 상위 단계에 위치한 조절자들의 mRNA 발현을 분석하였다. C/$EBP{\beta}$의 상위 조절자인 C/$EBP{\gamma}$, CHOP은 shikonin에 의해 영향을 받지 않았으나, KROX20의 경우 유의하게 감소하였다. 이러한 결과는 Pro-adipogenic 인자인 KROX20의 감소가 C/$EBP{\beta}$에 영향을 주기 보다는 C/$EBP{\beta}$와 독립적으로 그 하위의 인자들에게 영향을 줄 수 있음을 제시한다. $PPAR{\gamma}$의 상위 조절자로 알려져 있는 KLF 들 중에서 pro-adipogenic 인자인 KLF15의 mRNA 발현은 shikonin에 의해 급격히 감소하였으나 anti-adipogenic 인자인 KLF2는 shikonin에 의한 변화가 거의 없었다. 또 다른 pro-adipogenic 인자인 KLF5의 경우, 주로 작용하는 초기 분화에서는 shikonin에 의해 거의 변화가 없었지만, 후기 분화에서는 조금 증가하였다. 이러한 후기 분화에서의 KLF5의 변화는 KLF15에 비해 전체 분화에 크게 영향을 주지 못하는 것 같다. 결론적으로, shikonin은 pro-adipogenic 인자인, KROX20과 KLF15의 조절을 통해 $PPAR{\gamma}$ 및 C/$EPB{\alpha}$의 mRNA 발현을 억제함으로써 지방 세포의 분화를 저해한다고 사료된다.

EXTENDED WRIGHT-BESSEL FUNCTION AND ITS PROPERTIES

  • Arshad, Muhammad;Mubeen, Shahid;Nisar, Kottakkaran Sooppy;Rahman, Gauhar
    • 대한수학회논문집
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    • 제33권1호
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    • pp.143-155
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    • 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.

A NEW EXTENSION OF THE MITTAG-LEFFLER FUNCTION

  • Arshad, Muhammad;Choi, Junesang;Mubeen, Shahid;Nisar, Kottakkaran Sooppy;Rahman, Gauhar
    • 대한수학회논문집
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    • 제33권2호
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    • pp.549-560
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    • 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.

비점막(鼻粘膜) 섬유모세포에서의 RANTES와 MCP의 발현 조절 (Regulation of RANTES and MCP Expression in Human Nasal Mucosal Fibroblasts)

  • 하용찬;조정제;유영천;양원용
    • IMMUNE NETWORK
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    • 제3권1호
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    • pp.61-68
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    • 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.

Bioconversion Using Lactic Acid Bacteria: Ginsenosides, GABA, and Phenolic Compounds

  • Lee, Na-Kyoung;Paik, Hyun-Dong
    • Journal of Microbiology and Biotechnology
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    • 제27권5호
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    • pp.869-877
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    • 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.

FURTHER LOG-SINE AND LOG-COSINE INTEGRALS

  • Choi, Junesang
    • 충청수학회지
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    • 제26권4호
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    • pp.769-780
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    • 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.

INTEGRAL REPRESENTATION OF SOME BASIC K-HYPERGEOMETRIC FUNCTIONS

  • ALI, ASAD;IQBAL, MUHAMMAD ZAFAR
    • Journal of applied mathematics & informatics
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    • 제40권1_2호
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    • pp.205-213
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    • 2022
  • In this paper we give a simple and direct proof of an Euler integral representation for a special class of q+1Fq,k k-hypergeometric functions for q ≥ 2. The values of certain 3F2,k and 4F3,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].

마우스 단핵 탐식 세포에서 Nitric oxide 생성의 조절 기전에 관한 연구 (Studies on the Regulation of Nitric oxide Synthesis in Murine Mononuclear Phagocytes)

  • 최병기;김수응
    • Environmental Analysis Health and Toxicology
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    • 제15권3호
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    • pp.69-80
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    • 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 .

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