• Title/Summary/Keyword: B(k)F

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Effects of Dokhwalkisaeng-tang on Melanin Synthesis Inhibition and Gene Expression in B16F10 Melanoma Cells (독활기생탕(獨活寄生湯)이 멜라닌 생성억제 및 유전자 발현에 미치는 영향)

  • Oh, Won-Kyo;Kim, Ki-Byoung;Lim, Jin-Young;Lee, Su-Kyung;Kwon, Young-Dal;Yeom, Seung-Ryong;Song, Yung-Sun
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.23 no.1
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    • pp.63-75
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    • 2009
  • The aim of this study was to elucidate the antimelanogenic effect of Dokhwalkisaeng-tang(Duohujisheng-tang) in B16F10 melanoma cells. Dokhwalkisaeng-tang(DKT) was used to develop the effective prescription of inhibition of melanin production. We determined inhibitory effects of DKT on melanin-release, melanin production, and tyrosinase activity in B16F10 melanoma cells. And to explicate the action-mechanism of DKT, melanin-related gene expressions were determined using RT-PCR and real time RT PCR technique in B16F10 melanoma cells. DKT inhibited melanin-release, melanin production in B16F10 melanoma cells considerably. DKT inhibited tyrosinase activity in vitro and in B16F10 melanoma cells. DKT inhibited the expression of tyrosinase, TRP-1, TRP-2 in B16F10 melanoma cells. DKT inhibited the expression of PKA, PKC, MMP-2 and MITF in B16F10 melanoma cells. On the other hand, DKT increased the expression of ERK-1, ERK-2, AKT-1 in B16F10 melanoma cells. From these results, we propose that DKT may have effect on the antimelanogenesis.

SOME RESULTS ON UNIQUENESS OF MEROMORPHIC SOLUTIONS OF DIFFERENCE EQUATIONS

  • Gao, Zong Sheng;Wang, Xiao Ming
    • Communications of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.959-970
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    • 2017
  • In this paper, we investigate the transcendental meromorphic solutions with finite order of two different types of difference equations $${\sum\limits_{j=1}^{n}}a_jf(z+c_j)={\frac{P(z,f)}{Q(z,f)}}={\frac{{\sum_{k=0}^{p}}b_kf^k}{{\sum_{l=0}^{q}}d_lf^l}}$$ and $${\prod\limits_{j=1}^{n}}f(z+c_j)={\frac{P(z,f)}{Q(z,f)}={\frac{{\sum_{k=0}^{p}}b_kf^k}{{\sum_{l=0}^{q}}d_lf^l}}$$ that share three distinct values with another meromorphic function. Here $a_j$, $b_k$, $d_l$ are small functions of f and $a_j{\not{\equiv}}(j=1,2,{\ldots},n)$, $b_p{\not{\equiv}}0$, $d_q{\not{\equiv}}0$. $c_j{\neq}0$ are pairwise distinct constants. p, q, n are non-negative integers. P(z, f) and Q(z, f) are two mutually prime polynomials in f.

NEIGHBORHOOD CONDITION AND FRACTIONAL f-FACTORS IN GRAPHS

  • Liu, Hongxia;Liu, Guizhen
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1157-1163
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    • 2009
  • Let G be a graph with vertex set V(G) and let f be a nonnegative integer-valued function defined on V(G). A spanning subgraph F of G is called a fractional f-factor if $d^h_G$(x)=f(x) for all x $\in$ for all x $\in$ V (G), where $d^h_G$ (x) = ${\Sigma}_{e{\in}E_x}$ h(e) is the fractional degree of x $\in$ V(F) with $E_x$ = {e : e = xy $\in$ E|G|}. In this paper it is proved that if ${\delta}(G){\geq}{\frac{b^2(k-1)}{a}},\;n>\frac{(a+b)(k(a+b)-2)}{a}$ and $|N_G(x_1){\cup}N_G(x_2){\cup}{\cdots}{\cup}N_G(x_k)|{\geq}\frac{bn}{a+b}$ for any independent subset ${x_1,x_2,...,x_k}$ of V(G), then G has a fractional f-factor. Where k $\geq$ 2 be a positive integer not larger than the independence number of G, a and b are integers such that 1 $\leq$ a $\leq$ f(x) $\leq$ b for every x $\in$ V(G). Furthermore, we show that the result is best possible in some sense.

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BINDING NUMBER AND HAMILTONIAN (g, f)-FACTORS IN GRAPHS

  • Cai, Jiansheng;Liu, Guizhen
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.383-388
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    • 2007
  • A (g, f)-factor F of a graph G is Called a Hamiltonian (g, f)-factor if F contains a Hamiltonian cycle. The binding number of G is defined by $bind(G)\;=\;{min}\;\{\;{\frac{{\mid}N_GX{\mid}}{{\mid}X{\mid}}}\;{\mid}\;{\emptyset}\;{\neq}\;X\;{\subset}\;V(G)},\;{N_G(X)\;{\neq}\;V(G)}\;\}$. Let G be a connected graph, and let a and b be integers such that $4\;{\leq}\;a\;<\;b$. Let g, f be positive integer-valued functions defined on V(G) such that $a\;{\leq}\;g(x)\;<\;f(x)\;{\leq}\;b$ for every $x\;{\in}\;V(G)$. In this paper, it is proved that if $bind(G)\;{\geq}\;{\frac{(a+b-5)(n-1)}{(a-2)n-3(a+b-5)},}\;{\nu}(G)\;{\geq}\;{\frac{(a+b-5)^2}{a-2}}$ and for any nonempty independent subset X of V(G), ${\mid}\;N_{G}(X)\;{\mid}\;{\geq}\;{\frac{(b-3)n+(2a+2b-9){\mid}X{\mid}}{a+b-5}}$, then G has a Hamiltonian (g, f)-factor.

THE GROWTH OF BLOCH FUNCTIONS IN SOME SPACES

  • Wenwan Yang;Junming Zhugeliu
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.4
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    • pp.959-968
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    • 2024
  • Suppose f belongs to the Bloch space with f(0) = 0. For 0 < r < 1 and 0 < p < ∞, we show that $$M_p(r,\,f)\,=\,({\frac{1}{2\pi}}{\int_{0}^{2\pi}}\,{\mid}f(re^{it}){\mid}^pdt)^{1/p}\,{\leq}\,({\frac{{\Gamma}(\frac{p}{2}+1)}{{\Gamma}(\frac{p}{2}+1-k)}})^{1/p}\,{\rho}{\mathcal{B}}(log\frac{1}{1-r^2})^{1/2},$$ where ρʙ(f) = supz∈ⅅ(1 - |z|2)|f'(z)| and k is the integer satisfying 0 < p - 2k ≤ 2. Moreover, we prove that for 0 < r < 1 and p > 1, $${\parallel}f_r{\parallel}_{B_q}\,{\leq}\,r\,{\rho}{\mathcal{B}}(f)(\frac{1}{(1-r^2)(q-1)})^{1/q},$$ where fr(z) = f(rz) and ||·||ʙq is the Besov seminorm given by ║f║ʙq = (∫𝔻 |f'(z)|q(1-|z|2)q-2dA(z)). These results improve previous results of Clunie and MacGregor.

The Normality of Meromorphic Functions with Multiple Zeros and Poles Concerning Sharing Values

  • WANG, YOU-MING
    • Kyungpook Mathematical Journal
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    • v.55 no.3
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    • pp.641-652
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    • 2015
  • In this paper we study the problem of normal families of meromorphic functions concerning shared values. Let F be a family of meromorphic functions in the plane domain $D{\subseteq}{\mathbb{C}}$ and n, k be two positive integers such that $n{\geq}k+1$, and let a, b be two finite complex constants such that $a{\neq}0$. Suppose that (1) $f+a(f^{(k)})^n$ and $g+a(g^{(k)})^n$ share b in D for every pair of functions f, $g{\in}F$; (2) All zeros of f have multiplicity at least k + 2 and all poles of f have multiplicity at least 2 for each $f{\in}F$ in D; (3) Zeros of $f^{(k)}(z)$ are not the b points of f(z) for each $f{\in}F$ in D. Then F is normal in D. And some examples are provided to show the result is sharp.

A Study on 1/f Noise Characteristics of the Base Spreading Resistance for BJT (BJT 베이스 분산저항의 1/f 잡음특성에 관한 연구)

  • Koo, Hoe-Woo;Lee, Kie-Young
    • Journal of IKEEE
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    • v.3 no.2 s.5
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    • pp.236-242
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    • 1999
  • J noise component due to base spreading resistance ${\gamma}_{bb}$ of bipolar junction transistors fabricated by BiCMOS process is experimentally analyzed. The analysis of equivalent noise circuit for common collector shows that output 1/f noise value is purely generated from ${\gamma}_{bb}\;when\;g_m^{-1}-{\gamma}_{bb}-R_B$ is closely to zero. From the $S^{1/f}_{Irbb}=K_fI_b{^{A_1}}/f$, we fine that $A_f=2,\;K_f{\simeq}5{\times}10^{-9}$. And Hooge constant ${\alpha}$ values are in the order, of 10$^{-3}$.

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Analysis of Genetic Polymorphism by Bloodtyping in Jeju Horse (혈액형에 의한 제주말의 유전적 다형성 분석)

  • Cho Gil-Jae
    • Journal of Life Science
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    • v.15 no.6 s.73
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    • pp.972-978
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    • 2005
  • The present study was carried out to investigate the blood markers of Jeju horses. The redcell cypes (blood groups) and blood protein types (biochemical polymorphisms) were tested from 102 Jeju horses by serological and electrophoretc procedure, and their phenotypes and gene frequencies were estimated. The blood group and biochemical polymorphism phenotypes observed with high frequency were $A^{af}\;(27.45\%$), $C^{a}\;(99.02\%$), $K^{-}\;(97.06\%$), $U^{a}\;(62.75\%$), $P^{b}\;(36.27\%$), $Q^{c}\;(47.06\%$), $D^{cgm/dghm}\;(13.73\%$), $D^{adn/cgm}\;(9.80\%$), $D^{ad/cgm}$\;(8.82\%$), $D^{dghm/dghm}(7.84\%$), $D^{cgm/cgm}(7.84\%$), $AL^{B}\;(48.04\%$), $GC^{F}\;(99.02\%$), $AlB^{K}\;(97.06\%$), $ES^{FI}\;(36.27\%$), $TF^{F2}\;(25.49\%$), $HB^{B1}\;(45.10\%$), and $PGD^{F}\;(86.27\%$) in Jeju horses, respectively. Alleles observed with high gene frequency were $A^{af}$ (0.3726), $A^{C}$ (0.2647), $C^{-}$ (0.5050), $K^{-}$ (0.9853), $U^{-}$ (0.6863), $P^{b}$ (0.4657), $Q^{c}$ (0.5294), $D^{cgm}$ (0.3039), $HB^{B1}$(0.6863), $PGD^{F}$ (0.9265), $AL^{B}$ (0.6912), $ALB^{K}$ (0.9852), $GC^{F}$ (0.9950), $ES^{I}$ (0.5000) and $TF^{F2}$ (0.4950) in Jeju horses, and sfecific alleles, $D^{cgm(f)}$ (0.0196), $HB^{A}$ (0.0147), $HB^{A2}$ (0.0196), $ES^{G}$ (0.0441), $ES^{H}$ (0.0098), $TF^{E}$TF'(0.0246), $TF^{H2}$ (0.0049) and $PGD^{D}$ (0.0098) were detected in Jeju horses. These preliminary results present basic information for detecting the genetic markers in Jeju horse. and developing a system for parentage verification and individuals identification in jeju horses.

Inhibition Effect of Achyranthes japonica N. Root Extract on Cathepsin B (우슬뿌리 추출물의 Cathepsin B에 대한 저해효과)

  • Lee Ka-Soon;Lee Jin-Il;Lee Jong-Kuk;Lee Jeong;Kim Gi-Don;Oh Man-Jin
    • Food Science and Preservation
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    • v.12 no.3
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    • pp.275-281
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    • 2005
  • This study was carried out to investigate the cathepsin B inhibition effect by Achyranthes japonica N. root extract in vitro. The methanol/$H_{2}O$(4:1, v/v) extract was fractionated by ethyl acetate(F1), chloroform(F2), chloroform/methanol(3:1, v/v)(F3) and methanol(F4). The yield of F4 in Achyranthes japonica N. root was $8.27\%$. As an index material of Achyranthes japonica N. root, 20-hydroxy ecdysone was detected by TLC, and HPLC and it's content was $0.33\%$. Three isolates(F1, F3, F4) showed the cathepsin B inhibition activity, and F4 showed the highest inhibition activity among them. In the inhibition activity on cathepsin B, leupeptin, 20-hydroxy ecdysone and F4(at the same concentration of 20-hydroxy ecdysone.) were 92, 88 and $97\%$ on BANA($N{\alpha}$-benzoyl-DL-arginine ${\beta}$-naphthylamide) substrate, and 62, 36 and $67\%$ on CLN($N{\alpha}$-CBZ(carbobenzlyoxy)-L-lysine p-nitrophenyl ester HCI) substrate, respectively.

Comparison of Characteristics of Koji Manufactured with Bacillus subtilis B-4 and Aspergillus oryzae F-5 (Bacillus subtilis B-4와 Aspergillus oryzae F-5로 제조한 코오지의 특성 비교)

  • Kwon, Dong-Jin
    • Korean Journal of Food Science and Technology
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    • v.34 no.5
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    • pp.873-878
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    • 2002
  • In order to industrialize traditional Meju-tasting Koji, the characteristics of Koji manufactured with bacteria and fungi found in traditional Meju were investigated. Bacillus subtilis B-4 and Aspergillus oryzae F-5 showing high enzyme activities including those of amylase and protease were used. L-value of Koji manufactured with B. subtilis B-4 had darker color and higher enzyme production than A. oryzae F-5 made one. B. subtilis B-4 made Koji showed higher enzyme production and sensony evaluation score than A. oryzae F-5 Koji. A. oryzae F-5 Koji showed superior color to B. subtilis B-4 Koji. Activity in color, capacity of enzyme production, viable cell count, and sensory evaluation of water activity controlled Koji was superior to the uncontrolled one.