• Title/Summary/Keyword: $G{\beta}$

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ON THE $FEKETE-SZEG\"{O}$ PROBLEM FOR STRONGLY $\alpha$-LOGARITHMIC CLOSE-TO-CONVEX FUNCTIONS

  • Cho, Nak-Eun
    • East Asian mathematical journal
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    • v.21 no.2
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    • pp.233-240
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    • 2005
  • Let $CS^{\alpha}(\beta)$ denote the class of normalized strongly $\alpha$-logarithmic close-to-convex functions of order $\beta$, defined in the open unit disk $\mathbb{U}$ by $$\|arg\{\(\frac{f(z)}{g(z)}\)^{1-\alpha}\(\frac{zf'(z)}{g(z)\)^{\alpha}\}\|\leq\frac{\pi}{2}\beta,\;(\alpha,\beta\geq0)$$ where $g{\in}S^*$ the class of normalized starlike functions. In this paper, we prove sharp $Fekete-Szeg\"{o}$ inequalities for functions $f{\in}CS^{\alpha}(\beta)$.

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ON FUZZY 𝛽-VOLTERRA SPACES

  • V. CHANDIRAN;S. SOUNDARA RAJAN;G. THANGARAJ
    • Journal of applied mathematics & informatics
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    • v.42 no.1
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    • pp.189-197
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    • 2024
  • The purpose of this paper is to introduce and study the new class of spaces called the fuzzy 𝛽-Volterra spaces with the help of fuzzy β-dense and fuzzy 𝛽-G𝛿 sets. Examples are given to illustrate the concept. Some interesting characterizations of the fuzzy 𝛽-Volterra spaces are established in this paper.

Kinetic Analysis of CpG-Induced Mouse B Cell Growth and Ig Production

  • Kim, Young-Ha;Lee, Sang-Hoon;Yoo, Yung-Choon;Lee, Jung-Lim;Park, Jong-Hwan;Park, Seok-Rae
    • IMMUNE NETWORK
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    • v.12 no.3
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    • pp.89-95
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    • 2012
  • Immune cells express toll-like receptors (TLRs) and respond to molecular patterns of various pathogens. CpG motif in bacterial DNA activates innate and acquired immune systems through binding to TLR9 of immune cells. Several studies reported that CpG can directly regulate B cell activation, differentiation, and Ig production. However, the role of CpG in B cell growth and Ig production is not fully understood. In this study, we analyzed the effect of CpG on the kinetics of mouse B cell viability, proliferation, and Igs production. Overall, CpG enhanced mouse B cell growth and production of Igs in a dose-dependent manner. Unlike LPS, 100 nM CpG (high dose) did not support TGF-${\beta}1$-induced IgA and IgG2b production. Moreover, 100 nM CpG treatment abrogated either LPS-induced IgM or LPS/TGF-${\beta}1$-induced IgA and IgG2b production, although B cell growth was enhanced by CpG under the same culture conditions. We subsequently found that 10 nM CpG (low dose) is sufficient for B cell growth. Again, 10 nM CpG did not support TGF-${\beta}1$-induced IgA production but, interestingly enough, supported RA-induced IgA production. Further, 10 nM CpG, unlike 100 nM, neither abrogated the LPS/TGF-${\beta}1$- nor the LPS/RA-induced IgA production. Taken together, these results suggest that dose of CpG is critical in B cell growth and Igs production and the optimal dose of CpG cooperates with LPS in B cell activation and differentiation toward Igs production.

The Constituents of Paulownia tomentosa Stem (참오동나무 줄기의 성분 연구)

  • 박유미;장성기;김연수;김박광
    • YAKHAK HOEJI
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    • v.35 no.4
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    • pp.301-307
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    • 1991
  • A benzofuran substance was isolated from the methanol extract of Pauownia tomentosa stem which has been used to treat against gonorrhoea and contusion etc. in the oriental traditional medicine. Its structure was elucidated as methyl-5-hydroxy-[1, 4]naphthoquino-[2, 3-b]benzo-[I, 2-g] benzofuran-6-carboxylate by X-ray crystallography and various spectroscopic evidences and also other three known compounds, paulownin, sesamin, $\beta$-sitosteryl-3-O-$\beta$-D-glucopyranoside, were obtained.

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ON GENERALIZED (α, β)-DERIVATIONS AND COMMUTATIVITY IN PRIME RINGS

  • Jung, Yong-Soo;Park, Kyoo-Hong
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.1
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    • pp.101-106
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    • 2006
  • Let R be a prime ring and I a nonzero ideal of R. Let $\alpha,\;\nu,\;\tau\;R{\rightarrow}R$ be the endomorphisms and $\beta,\;\mu\;R{\rightarrow}R$ the automorphisms. If R admits a generalized $(\alpha,\;\beta)-derivation$ g associated with a nonzero $(\alpha,\;\beta)-derivation\;\delta$ such that $g([\mu(x),y])\;=\;[\nu/(x),y]\alpha,\;\tau$ for all x, y ${\in}I$, then R is commutative.

Volatile Compounds of Citron (Citrus Junos) Peel extracted by Supercritical Carbon Dioxide (초임계 이산화탄소로 추출한 유자껍질의 향기성분)

  • 김영언;김인환;김흥만;이영철
    • The Korean Journal of Food And Nutrition
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    • v.9 no.4
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    • pp.500-503
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    • 1996
  • Volatile compounds were extracted from freeze-dried citron peel(Citrus junos) using supercritical CO2 under 4,000psi at 40$\beta$. Four fractions were obtained with consumption of CO2. Volatile compounds of extracts were analyzed by GC-MSD. Yield of vol atile compounds from citron peel was 0.11g/CO2($\ell$) and maximum yield was 8.812g/kg. Major volatile compounds of extracts were dl-limonene, Υ-terpinene, linalool, sabinene, $\beta$-myrcene, $\alpha$-pinene, $\beta$-farnesene, $\alpha$-terpineol and terpinolene. $\alpha$-Pinene, $\beta$-myrcene and dl-limonene in the fractions decreased gradually, while $\alpha$-terpineol and $\beta$-farnesene increased as the consumption of CO2 increased.

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The Third Intracellular Loop of truman ${\beta}_2$-adrenergic Receptor Expressed in E. coli Decreased Binding Affinity of Isoproterenol to ${\beta}_2$-adrenergic Receptor

  • Shin, Jin-Chul;Shin, Chan-Young;Lee, Mi-Ok;Lee, Sang-Bong;Ko, Kwang-Ho
    • Biomolecules & Therapeutics
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    • v.4 no.1
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    • pp.103-109
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    • 1996
  • To investigate the effect of the third intracellular loop (i3 loop) peptide of human $\beta$$_2$-adrenergic receptor on receptor agonist binding, we expressed third intracellular loop region of human $\beta$$_2$-adrenergic receptor as glutathione S-transferase fusion protein in E. coli. DNA fragment of the receptor gene which encodes amino acid 221-274 of human $\beta$$_2$-adrenergic receptor was amplified by polymerase chain reaction and subcloned into the bacterial fusion protein expression vector pGEX-CS and expressed as a form of glutathione-S-transferase (GST) fusion protein in E. coli DH5$\alpha$. The receptor fusion protein was identified by SDS-PAGE and Western blot using monoclonal anti-GST antibody. The fusion protein expressed in this study was purified to an apparent homogeneity by glutathione Sepharose CL-4B affinity chromatography. The purified i3 loop fusion proteins at a concentration of 10 $\mu\textrm{g}$/ι caused right shift of the isoproterenol competition curve of [$^3$H]Dihydroalprenolol binding to hamster lung $\beta$$_2$-adrenergic receptor indicating lowered affinity of isoproterenol to $\beta$$_2$-adrenergic receptor possibly due to the uncoupling of receptor and G protein in the presence of the fusion protein. The uncoupling of receptor and G protein suggests that i3 loop region plays a critical role on $\beta$$_2$-adrenergic receptor G protein coupling.

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Effect of M11C (Non-lectin Components) Obtained from Korean Mistletoe on the $IL-1\beta$ Secretion from Mouse Splenocytes (쥐의 비장세포로부터 $IL-1\beta$ 분비에 있어서 한국산 겨우살이 추출물 M11C (비렉틴 구성물질)의 효과)

  • Jun, Myung-Ha;Kang, Tae-Bong;Chang, Sung-Ho;Choi, Wahn-Soo;Seong, Nak-Sul;Her, Erk
    • Korean Journal of Medicinal Crop Science
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    • v.15 no.1
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    • pp.38-45
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    • 2007
  • Korean mistletoe (Viscum album L) extract has been found to posses immunoregulating activity. In this study, Korean mistletoe extract, M11C (non-lectin components), was used to know whether this extract activates splenocytes to secret interleukin $1\beta(IL-1\beta)$. The splenocytes were treated with M11C, and then collected the supernatant and cell lysate that were prepared to analyze the level of $IL-1\beta$, using ELISA, immunoblotting, and RT-PCR. Maximum effective dose and time of M11C on $IL-1\beta$ secretion from splenocytes were $200{\mu}g/m\ell$ and 8 hours, respectively. Treatment dose and time for the maximum expression of $IL-1\beta$ mRNA were $200{\mu}g/m\ell$ and 4 hours, respectively. Saccharide degradation enzyme Viscozyme L completely blocked the effect of M11C on $IL-1\beta$ secretion from splenocytes. As the result, among non-lectin components saccharide could be regarded as a main component for $IL-1\beta$ expression from splenocytes.

Effects of White Sesame Seed Extract and β-Sitosterol on Growth, Migration, and Adhesion of H1299 Human Lung Cancer Cells (흰깨 추출물과 β-Sitosterol이 H1299 폐암세포의 성장, 이동, 부착에 미치는 효과)

  • Lee, Jungjae;Kim, Seoyun;Ju, Jihyeung
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.44 no.9
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    • pp.1279-1285
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    • 2015
  • The current study aimed to investigate effects of ethanol extract of white sesame seed (WSE) as well as a major constituent of white sesame seed, ${\beta}-sitosterol$, on the growth, migration, and adhesion of H1299 human lung cancer cells. Treatment with WSE at concentrations of 150, 300, and $600{\mu}g/mL$ dose-dependently inhibited cell growth (to 51.5~82.6% of control). Treatment with ${\beta}-sitosterol$ at concentrations of 3.125, 6.25, 12.5, and $25{\mu}M$ inhibited cell growth to a greater extent (to 27.5~49.0% of control) than that with WSE (P<0.05). Treatment with WSE (at concentration of $600{\mu}g/mL$) or ${\beta}-sitosterol$ (at concentration of $25{\mu}M$) resulted in increased sub-G1 cell population, indicating their apoptosis-inducing activities. ${\beta}-sitosterol$ was effective in inhibiting both cell migration (to 80.8~86.2% of control at a concentration range of $3.125{\sim}25{\mu}M$) and adhesion (to 21.5~37.4% of control at a concentration range of $6.25{\sim}25{\mu}M$), whereas WSE at a concentration range of $150{\sim}600{\mu}g/mL$ was ineffective. These results indicate that ${\beta}-sitosterol$ is more active than WSE in inhibiting growth, migration, and adhesion of H1299 human lung cancer cells. Further studies are needed to determine if similar effects are reproduced in vivo.

Identification and Growth Activity to Bifidobacterium spp. of Locust Bean Gum Hydrolysates by Trichoderma harzianum ${\beta}$-mannanase (Trichoderma harzianum 유래 ${\beta}$-mannanase에 의한 Locust Bean Gum 가수분해 올리고당의 동정 및 Bifidobacterium spp.에 대한 생육활성)

  • Kim, Yu-Jin;Park, Gwi-Gun
    • Applied Biological Chemistry
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    • v.48 no.4
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    • pp.364-369
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    • 2005
  • This study was performed to elucidate substrate specificity to the locust bean gum galactomannan by Trichoderma harzianum ${\beta}-mannanase$. The medium composition for enzyme production were determined 3% cellulose, 3% corn steep liquor, 1% $KH_2PO_4$, 0.2% $(NH_4){_2}SO_4$, and incubated for 115 hr at $28^{\circ}C$. The ${\beta}-mannanase$ exhibited maximum activity at pH 4.5 and $60^{\circ}C$. Locust bean gum galactomannan was hydrolyzed by the ${\beta}-mannanase$, and then hydrolysates separated by activated carbon column chromatography. The main hydrolysates were composed of D.P 4 and 7 galactosyl mannooligosaccharides by TLC. For the elucidate the structure of D.P 4 and 7 oligosaccharides, methylation analysis was performed. D.P 4 and 7 were identified as M-M-M-M and M-M-M-M-M (G- and M-represent ${\alpha-1,6-D-galactosidic\;and\;{\beta}-1,4-mannosidic$ linkages, respectively). //G-G To investigate the effects of locust bean gum galactosyl mannooligosaccharides on the in vitro growth of B. longum, B. bifidum, B. infantis, and B. breve, Bifidobacterium spp. were cultivated individually on the modified-MRS medium containing carbon source such as D.P 4 and 7 galactosyl mannooligosaccharides, respectively. B. longum grew up 3.4-fold and 4.3-fold more effectively by the replacement of D.P 4 and 7 galactosyl mannooligosaccharides as the carbon source in a comparasion of standard MRS.