• 제목/요약/키워드: $k-{\varepsilon}$

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NOTE ON CONTACT STRUCTURE AND SYMPLECTIC STRUCTURE

  • Cho, Mi-Sung;Cho, Yong-Seung
    • 대한수학회보
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    • 제37권1호
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    • pp.181-189
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    • 2000
  • Let (X, J) be a closed, connected almost complex four-manifold. Let $X_1$ be the complement of an open disc in X and let ${\varepsilon}_1$be the contact structure on the boundary ${\varepsilon}X_1$ which is compatible with a symplectic structure on $X_1$, Then we show that (X, J) is symplectic if and only if the contact structure ${\varepsilon}_1$ on ${\varepsilon}X_1$ is isomorphic to the standard contact structure on the 3-sphere $S^3$ and ${\varepsilon}X_1$is J-concave. Also we show that there is a contact structure ${\varepsilon}_0\ on\ S^2\times\ S^1$which is not strongly symplectically fillable but symplectically fillable, and that $(S^2{\times}S^1,\;{\varepsilon})$ has infinitely many non-diffeomorphic minimal fillings whose restrictions on$\S^2\times\ S^1$are ${\sigma}$ where ${\sigma}$ is the restriction of the standard symplectic structure on $S^2{\times}D^2$.

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${\varepsilon}$-Caprolactam 이용성(利用性) 세균(細菌)의 분리(分離) 및 그 성질(性質) (Isolation and Characteristics of ${\varepsilon}$-Caprolactam Utilizing Bacteria)

  • 최선택;이인구
    • Current Research on Agriculture and Life Sciences
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    • 제3권
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    • pp.21-27
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    • 1985
  • 대구(大邱) 신천(新川) 하상(河床) 오니(汚泥)로부터 ${\varepsilon}$-caprolactam이용성(利用性)이 우수한 균(菌)을 분리(分離)하여 Arthrobacter globiformis N-2-1로 동정(同定)했다. Arthrobacter globiformis N-2-1의 배양(培養)을 위한 최적배지(最適培地)의 조성(組成)은 ${\varepsilon}$-caprolactam 0.4%, $K_2HPO_4$ 0.2%, $KH_2PO_4$ 0.05%, $MgSO_4{\cdot}7H_2O$ 0.02%, $F3Cl_3{\cdot}6H_2O$ 0.01%, yeast extract 0.05%이었다. 이 균(菌)의 생육(生育)을 위한 최적(最適) pH는 7.0, 온도(溫度)는 $30^{\circ}C$ 부근(附近)이었다. 본(本) 균(菌)은 무기염 배지(培地)에서 yeast extract를 가(加)하지 않고서도 ${\varepsilon}$-caprolactam을 잘 분해(分解)하여 증식(增殖)할 수 있었으나, yeast extract를 가(加)하면 생육(生育)이 더욱 촉진되었다. 또한 본(本) 균(菌)은 대부분의 당(糖)을 잘 이용(利用)할 수 있었고 유기산(有機酸)으로는 ${\alpha}$-ketoglutarate, adipate, p-hydroxybenzoate는 잘 이용(利用)하였으나 gluconate는 잘 이용(利用)할 수 없었다. 그리고 amino acid는 대부분 잘 이용(利用)하는 것으로 나타났다. 0.4%의 ${\varepsilon}$-caprolactam을 함유한 배지(培地)에서 60시간(時間) 배양(培養)으로 ${\varepsilon}$-caprolactam을 완전히 분해(分解)할 수 있었다. 분리균(分離菌) N-2-1에 의한 ${\varepsilon}$-caprolactam의 분해(分解) 생성물(生成物)은 ${\varepsilon}$-aminocaproic acid로 확인되었다.

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Kaempferol Isolated from Nelumbo nucifera Stamens Negatively Regulates $Fc{\varepsilon}RI$ Expression in Human Basophilic KU812F Cells

  • Shim, Sun-Yup;Choi, Jae-Sue;Byun, Dae-Seok
    • Journal of Microbiology and Biotechnology
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    • 제19권2호
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    • pp.155-160
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    • 2009
  • Mast cells and basophils perform important functions as pivotal effector cells in IgE-mediated allergic reactions. KU812F cells, a human basophilic cell line isolated originally from chronic myelocytic leukemia, express a high affinity receptor of IgE, $Fc{\varepsilon}RI$. Kaempferol was extracted and isolated from a methanolic extract of flavonoid-rich Nelumbo nucifera stamens. In the present study, the inhibitory effects of kaempferol on $Fc{\varepsilon}RI$ expression in human basophilic KU812F cells was examined. Flow cytometric analysis revealed that $Fc{\varepsilon}RI$ expression on the cell surface was suppressed in a concentration-dependent manner when the cells were cultured with kaempferol. Moreover, RT-PCR analysis showed that the mRNA levels for $Fc{\varepsilon}RI$ ${\alpha}-\;and\;{\gamma}$-chains were reduced as the result of kaempferol treatment in a concentration-dependent manner. Kaempferol showed its suppressive effects on intracellular $Ca^{2+}$ concentration and histamine release from anti-$Fc{\varepsilon}RI$ ${\alpha}$-chain antibody-stimulated cells in a concentration-dependent manner. These observations indicate that kaempferol may exert antiallergic effect via down regulation of $Fc{\varepsilon}RI$ expression and degranulation.

Achyranthes japonica Nakai Water Extract Suppresses Binding of IgE Antibody to Cell Surface FcεRI.

  • Shim, Sun Yup;Lee, Mina;Lee, Kyung Dong
    • Preventive Nutrition and Food Science
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    • 제21권4호
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    • pp.323-329
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    • 2016
  • Achyranthes japonica Nakai (AJN) water extract has a variety of physiological properties, including anti-diabetic, anti-cancer, anti-inflammatory, anti-microbial, and anti-oxidative activities. In the present study, the inhibitory effects of AJN extract were investigated in high affinity immunoglobulin E receptor ($Fc{\varepsilon}RI$)-mediated KU812F cells activation. AJN extract showed suppressive effects on histamine release and intracellular calcium [$Ca^{2+}$]i elevation from anti$Fc{\varepsilon}RI$ antibody (CRA-1)-stimulated cells in a dose-dependent manner. Flow cytometric analysis showed that AJN extract treatment caused a dose-dependent decrease in the cell surface $Fc{\varepsilon}RI$ expression and the binding between the cell surface $Fc{\varepsilon}RI$ and the IgE antibody. Moreover, reverse transcription-polymerase chain reaction analysis showed that levels of the mRNA for the $Fc{\varepsilon}RI$ ${\alpha}$ chain was decreased by treatment with AJN extract. These results indicate that AJN extract may exert anti-allergic effects via the inhibition of calcium influx and histamine release, which occurs as a result from the downregulation of the binding of IgE antibody to cell surface $Fc{\varepsilon}RI$. This mechanism may occur through $Fc{\varepsilon}RI$ expression inhibition.

THE GROUPS OF SELF PAIR HOMOTOPY EQUIVALENCES

  • Lee, Kee-Young
    • 대한수학회지
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    • 제43권3호
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    • pp.491-506
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    • 2006
  • In this paper, we extend the concept of the group ${\varepsilon}(X)$ of self homotopy equivalences of a space X to that of an object in the category of pairs. Mainly, we study the group ${\varepsilon}(X,\;A)$ of pair homotopy equivalences from a CW-pair (X, A) to itself which is the special case of the extended concept. For a CW-pair (X, A), we find an exact sequence $1\;{\to}\;G\;{\to}\;{\varepsilon}(X,\;A)\;{to}\;{\varepsilon}(A)$ where G is a subgroup of ${\varepsilon}(X,\;A)$. Especially, for CW homotopy associative and inversive H-spaces X and Y, we obtain a split short exact sequence $1\;{\to}\;{\varepsilon}(X)\;{\to}\;{\varepsilon}(X{\times}Y,Y)\;{\to}\;{\varepsilon}(Y)\;{\to}\;1$ provided the two sets $[X{\wedge}Y,\;X{\times}Y]$ and [X, Y] are trivial.

Effect of Composition and Synthetic Route on the Microstructure of Biodegradable Diblock Copolymer, Poly($\varepsilon$-caprolactone-co-L-lactide)-b-Poly(ethylene glycol)

  • Min, Youn-Jin;Lee, Seong-Nam;Park, Jung-Ki;Cho, Kuk-Young;Sung, Shi-Joon
    • Macromolecular Research
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    • 제16권3호
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    • pp.231-237
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    • 2008
  • Biodegradable poly($\varepsilon$-caprolactone-co-L-lactide)-b-poly(ethylene glycol) (PCLA-b-PEG) copolymers were synthesized via solution polymerization by varying the feed composition of $\varepsilon$-caprolactone ($\varepsilon$-CL) and L-lactide (LLA) ($\varepsilon$-CL: LLA= 10:0, 7:3, 5:5, 3:7, 0: 10). The feed ratio based on weight is in accordance with the copolymer composition except for the case of $\varepsilon$-CL: LLA=3:7 (C3L7), which was verified by $^1H$-NMR. Two different approaches were used for the exceptional case, which is an extension of the reaction time or the sequential introduction of the monomer. A copolymer composition of $\varepsilon$-CL: LLA=3:7 could be obtained in either case. The chemical microstructure of PCLA-b-PEG was determined using the $^{13}C$-NMR spectra and the effect of the sequential structure on the thermal properties and crystallinity were examined. Despite the same composition ratio of the copolymer, the microstructure can differ according to the reaction conditions.

Aspergillus nidulans 분비소낭 구성요소인 α-COP과 ε-COP의 결합 부위 분석 (Analysis of Protein Domain for Interaction between α-COP and ε-COP in Aspergillus nidulans)

  • 송은정;김기현;이환희;박정석;강은혜;박희문
    • 한국균학회지
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    • 제40권4호
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    • pp.224-228
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    • 2012
  • A. nidulans ${\alpha}$-COP과 상호작용하는 단백질을 동정하기 위하여 ${\alpha}$-COP을 암호하는 유전자를 bait로 yeast two-hybrid 스크리닝용 A. nidulans cDNA 라이브러리를 탐색한 결과, COPI 소낭의 구성요소 중 하나인 ${\varepsilon}$-COP을 암호화하고 있는 유전자를 동정하고 $aneA^+$($\underline{A}$spergillus $\underline{n}$idulans $\underline{e}$psilon-COP, $AN{\varepsilon}$-COP)으로 명명하였다. $aneA^+$ 유전자는 총 296개의 아미노산을 암호화하고 있으며, 다른 균류의 ${\varepsilon}$-COP과 높은 상동성을 보였다. Yeast two hybrid 시스템으로 두 단백질 간의 상호작용 부위를 분석한 결과, ${\alpha}$-COP의 COOH 도메인과 ${\varepsilon}$-COP의 C-말단부가 필수 부위였으며, ${\alpha}$-COP N-말단의 WD 도메인과 ${\varepsilon}$-COP의 TPR 부위는 두 단백질 간의 결합을 촉진하는 조절부위로 밝혀졌다. 또한 사상균인 A. nidulans와 효모류인 S. cerevisiae에서 ${\alpha}$-COP과 ${\varepsilon}$-COP 간 작용양상이 유사한 것으로 보아, COPI 소낭의 구성요소인 ${\alpha}$-COP과 ${\varepsilon}$-COP 간의 상호작용 기전은 진핵세포 내에서 진화적으로 잘 보존되어 있는 것으로 추정되었다.

무정형 고분자 재료의 비선형 유전특성 (Nonlinear Dielectric Properties of Amorphous copolymers)

  • 노일수;황중연;강대하;이덕출
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 D
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    • pp.1563-1565
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    • 1999
  • Linear and nonliear complex permittivities have been measured for amorphous copolymers of vinylidene cyanide (VDCN) with vinyl acetate (VAc), vinyl propionate (VPr), vinyl benzoate (VBz), styrene (St) and methyl methacrylate (MMA). It is found that the third order permittivity ${\varepsilon}_3$ depends upon frequency according to a function ${\Delta}_{{\varepsilon}_3}/(1+i{\omega}{\tau}_^3)$ while the linear permittivity obeys a Debye function ${\Delta}_{{\varepsilon}_1}/(1+i{\omega}{\tau}_1)$. Experimental results are well fitted by the above predicted functions except at low frequencies where dc conduction dominates. The ${\tau}_1$ and ${\tau}_3$ are nearly equal, and depend upon temperature according to a WLF form. The relaxation strength ${\Delta}_{{\varepsilon}_1}$ depends upon comonomers ranging from $130_{{\varepsilon}_0}$(VAc) to $20{{\varepsilon}_0}$(MMA). The ${\Delta}_{{\varepsilon}_3}$ is negative and depends more strongly upon comonomers. Combined knowledge about linear and nonlinear permittivities predicts very large correlation factors which indicates strongly cooperative dipolar motions in those amorphous copolymers.

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저 레이놀즈수 $\kappa$-$\varepsilon$psilon.모형에서 DNS 자료에 의한 $\varepsilon$방정식의 다중 생성률 모형 개발 (Development of Multiple Production $\varepsilon$ Equation Model in Low Reynolds Number $\kappa$-$\varepsilon$ Model with the Aid of DNS Data)

  • 신종근;최영돈
    • 대한기계학회논문집B
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    • 제20권1호
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    • pp.304-320
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    • 1996
  • A multiple production .epsilon. equation model was developed in the low Reynolds number $\kappa$-$\varepsilon$ model with the aids of DNS data. We derived the model theoretically and avoided the use of empirical correlations as much as possible in order for the model to have generality in the prediction of complex turbulent flow. Unavoidable model constants were, however, optimized with the aids of DNS data. All the production and dissipation models in the $\varepsilon$ equation were modified with damping functions to satisfy the wall limiting behavior. A new $f_{\mu}$ function, turbulent diffusion and pressure diffusion model for the k and .epsilon. equations were also proposed to satisfy the wall limiting behavior. By, computational investigation on the plane channel flows, we found that the multiple production model for .epsilon. equation could improve the near wall turbulence behavior compared with the standard production model without the complicated empirical modification. Satisfication of the wall limiting conditions for each turbulence model term was found to be most important for the accurate prediction of near wall turbulence behaviors.

COHOMOLOGY GROUPS OF RADICAL EXTENSIONS

  • Choi, Eun-Mi
    • 대한수학회지
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    • 제44권1호
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    • pp.151-167
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    • 2007
  • If k is a subfield of $\mathbb{Q}(\varepsilon_m)$ then the cohomology group $H^2(k(\varepsilon_n)/k)$ is isomorphic to $H^2(k(\varepsilon_{n'})/k)$ with gcd(m, n') = 1. This enables us to reduce a cyclotomic k-algebra over $k(\varepsilon_n)$ to the one over $k(\varepsilon_{n'})$. A radical extension in projective Schur algebra theory is regarded as an analog of cyclotomic extension in Schur algebra theory. We will study a reduction of cohomology group of radical extension and show that a Galois cohomology group of a radical extension is isomorphic to that of a certain subextension of radical extension. We then draw a cohomological characterization of radical group.