• BMB Reports
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• v.29 no.4
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• pp.365-371
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• 1996

Partially reduced interferon-a ($IFN-{\alpha}$) was cross-linked with thymosin ${\alpha}1$ ($T{\alpha}1$) using sulfo-succinimidyl (4-iodoacetyl) amino benzoate (SIAB), a bifunctional cross-linking reagent. The partially reduced $IFN-{\alpha}$ optimal for the cross-linking reaction was obtained by incubating native $IFN-{\alpha}$ with 0.5 mM DTT at $30^{\circ}C$ for 60~100 min. $T{\alpha}1$ was activated by incubating with sulfo-SIAB at $37^{\circ}C$ for 30 min to produce $T{\alpha}1-IAB$. The $T{\alpha}1-IFN-{\alpha}$ cross-linking was achieved by the reaction of the partially reduced $IFN-{\alpha}$ with $T{\alpha}1-IAB$. This cross-linking was between the sulfhydryl group of Cys1 in $IFN-{\alpha}$ and the N-terminal amino group of $T{\alpha}1$ through acetyl amino benzoate as a spacer. The immunological activity of the cross-linked molecule showed the same extent as that of $T{\alpha}1$, and most of the antiviral activity was retained compared to that of the partially reduced $IFN-{\alpha}$.

• Bulletin of the Korean Mathematical Society
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• v.59 no.3
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• pp.697-707
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• 2022

It is well known that the continued fraction expansion of ${\sqrt{d}}$ has the form $[{\alpha}_0,\;{\bar{{\alpha}_1,\;{\ldots},\;{\alpha}_{l-1},\;2_{{\alpha}_0}}]$ and ${\alpha}_1,\;{\ldots},\;{\alpha}_{l-1}$ is a palindromic sequence of positive integers. For a given positive integer l and a palindromic sequence of positive integers ${\alpha}_1,\;{\ldots},\;{\alpha}_{l-1},$ we define the set $S(l;{\alpha}_1,\;{\ldots},\;{\alpha}_{l-1})\;:=\;\{d{\in}{\mathbb{Z}}{\mid}d>0,\;{\sqrt{d}}=[{\alpha}_0,\;{\bar{{\alpha}_1,\;{\ldots},\;{\alpha}_{l-1},\;2_{{\alpha}_0}}],\;where\;{\alpha}_0={\lfloor}{\sqrt{d}}{\rfloor}\}.$ In this paper, we completely determine when $S(l;{\alpha}_1,\;{\ldots},\;{\alpha}_{l-1})$ is not empty in the case that l is 4, 5, 6, or 7. We also give similar results for $(1+{\sqrt{d}})/2.$ For the case that l is 4, 5, or 6, we explicitly describe the fundamental units of the real quadratic field ${\mathbb{Q}}({\sqrt{d}}).$ Finally, we apply our results to the Mordell conjecture for the fundamental units of ${\mathbb{Q}}({\sqrt{d}}).$

• East Asian mathematical journal
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• v.31 no.1
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• pp.103-107
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• 2015

We use some known contiguous function relations for $_2F_1$ to show how simply the following three recurrence relations for Jacobi polynomials $P_n^{({\alpha},{\beta)}(x)$: (i) $({\alpha}+{\beta}+n)P_n^{({\alpha},{\beta})}(x)=({\beta}+n)P_n^{({\alpha},{\beta}-1)}(x)+({\alpha}+n)P_n^{({\alpha}-1,{\beta})}(x);$ (ii) $2P_n^{({\alpha},{\beta})}(x)=(1+x)P_n^{({\alpha},{\beta}+1)}(x)+(1-x)P_n^{({\alpha}+1,{\beta})}(x);$ (iii) $P_{n-1}^{({\alpha},{\beta})}(x)=P_n^{({\alpha},{\beta}-1)}(x)+P_n^{({\alpha}-1,{\beta})}(x)$ can be established.

• The Zoological Society Korea : Newsletter
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• v.18 no.2
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• pp.38-44
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• 2001

전위활성화 칼슘통로를 통한 칼슘이온의 세포 내 유입은 근육수축, 시냅스 전달, 호르몬 분비, 효소의 활성도 및 유전자 발현을 조절한다. 이와 같이 중요한 생리적 기능을 조절하기 때문에 칼슘통로를 대상으로 한 다방면의 연구가 과거 20년간 활발히 진행되어 왔다 칼슘통로는 $\alpha$1, $\alpha$2-$\delta$, $\beta$로 구성되어 있으며, 이 중 $\alpha$1은 칼슘통로의 일반적 특성을 나타내는 기본 구조체이며, $\alpha$2-$\delta$와 $\beta$는 $\alpha$1을 조절하는 보조 기능을 한다. 지금까지 10개의 $\alpha$1 subunits(L-형: $\alpha$1S, $\alpha$1C, $\alpha$1D, $\alpha$1F; non-L-형: $\alpha$1A, a1B, $\alpha$1E; T-형: $\alpha$1G, $\alpha$1H, $\alpha$1I), 4종류의 $\beta$ subunits, 3 종류의 $\alpha$2-$\delta$ subunits가 클로닝되었으며, 이들 클론을 이용한 분자 수준에서의 연구가 활발히 이루어지고 있다. 본 논단에서는 칼슘통로의 구조, 기능 및 조절에 대한 연구가 전기생리학적, 분자생물학적 및 약리학적 방법을 사용하여 어떻게 수행되어왔는지 살펴보고, 최근 연구성과에 대해서도 소개하고자 한다.

• Bulletin of the Korean Mathematical Society
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• v.46 no.2
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• pp.331-346
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• 2009

Let ${\alpha}$ = (${\alpha}_1,\;{\alpha}_2$,...) and ${\beta}$ = (${\beta}_1,\;{\beta}_2$,...) be two sequences with ${\alpha}_1$ = ${\beta}_1$ and k and n be natural numbers. We denote by $A^{(k,{\pm})}_{{\alpha},{\beta}}(n)$ the matrix of order n with coefficients ${\alpha}_{i,j}$ by setting ${\alpha}_{1,i}$ = ${\alpha}_i,\;{\alpha}_{i,1}$ = ${\beta}_i$ for 1 ${\leq}$ i ${\leq}$ n and $${\alpha}_{i,j}=\{{\alpha}_{i-1,j-1}+{\alpha}_{i-1,j}\;if\;j{\equiv}$$2,3,4,..., k + 1 (mod 2k) $$\{{\alpha}_{i-1,j-1}-{\alpha}_{i-1,j}\;if\;j{\equiv}$$ k + 2,..., 2k + 1 (mod 2k) for 2 ${\leq}$ i, j ${\leq}$ n. The aim of this paper is to study the determinants of such matrices related to certain sequence ${\alpha}$ and ${\beta}$ and some natural numbers k.

• Proceedings of the PSK Conference
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• 2003.10b
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• pp.67.1-67.1
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• 2003

Three new guaianolide type of sesquiterpene lactones, 8${\alpha}$-angeloyloxy-1${\alpha}$-hydroxy-3${\alpha}$,4${\alpha}$-epoxy-5${\alpha}$, 7${\alpha}$H-10(14), 11(13)-guaiadien-12,6${\alpha}$-olide (1), 8${\alpha}$-methylbutyryloxy-1${\alpha}$-hydroxy-3${\alpha}$, 4${\alpha}$-epoxy-5${\alpha}$, 7${\alpha}$H-10(14),11(13)-guaiadien-12,6${\alpha}$-olide (2), and 8${\alpha}$-isovaleryloxy-1${\alpha}$-hydroxy-3${\alpha}$, 4${\alpha}$-epoxy-5${\alpha}$, 7${\alpha}$H-10(14),11 (13)- guaiadien-12,6${\alpha}$-olide (3), together with six known sesquiterpenes, artemisolide (4), 3-methoxytanapartholide (5), deacetyllaurenobiolide (6), moxartenolide (7), arteminolide B (8), and arteminolide D (9) were isolated by bioassay-guided fractionation using the NF-kB mediated reporter gene assay system. (omitted)

• Archives of Pharmacal Research
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• v.19 no.6
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• pp.507-513
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• 1996

Three sesquiterpene lactone compounds, two novel(1.betha.,3.betha.-dihydroxy-6.betha.,11.betha.,4.alpha.,5.alpha.,7.alpha.H -eudesm-12, 6-olide-1-O-.betha.-D-glucopyranoside, 1.betha.,3.betha.-dihydroxy-6.betha.,11.betha.,4.alpha.,5.alpha.,7.alpha.H-eudes m-12,6-olide-1-O-.betha.-D-glucopyranoside) and 1.betha.,3.betha.-dihydroxy-6.betha.,11.betha.,4.alpha.,5.alpha., 7.alpha.H-eudesm-12,6-olide were isolated from the aqueous fraction of MeOH extract of the roots from Taraxacum hallaisanensis (Compositae) employing Amberlite XAD-2, ODS-gel, silica gel and Sephadex LH-20 column chromatographics. Another known compound, (-)-epicatechin, was isolated from the aqueous fraction of the MeOH extract. The total MeOH extract also contained phytosterol and a mixture of .betha.-amyrin acetate, .alpha.-amyrin acetate and lupeol acetate. Structures of isolated compounds were elucidated by spectroscopic parameters of IR, Mass, /sup 13/C-NMR, /sup 1/H-NMR, /sup 1/H-/sup 1/H COSY, /sup 13/C-/sup 1/H COSY and HMBC.

• Archives of Pharmacal Research
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• v.28 no.2
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• pp.172-176
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• 2005

Phytochemical investigation of the whole plant of Amberboa ramosa led to the isolation of six sesquiterpene lactones which could be identified as $8{\alpha}$-hydroxy-$11{\beta}$-methyl-$1{\alpha}H,\;5{\alpha}H,\;6{\beta}H,\;7{\alpha}H,\;11{\alpha}H-guai-10(14)$, 4(15)-dien-6, 12-olide(2), $3{\beta},\;8{\alpha}-dihydroxy-11{\alpha}-methyl-1{\alpha}H,\;5{\alpha}H,\;6{\beta}H,\;7{\alpha}H,\;11{\beta}H-guai-10(14)$, 4(15)-dien-6, 12-olide (2), $3{\beta},\;4{\alpha},\;8{\alpha}-trihydroxy-4{\beta}(hydroxymethyl)-1{\alpha}H,\;5{\alpha}H,\;6{\beta}H,\;7{\alpha}H-guai-10(14)$, 11(13)-dien-6, 12-olide (3), $3{\beta},\;4{\alpha},\;8{\alpha}-trihydroxy-4{\beta}-(chloromethyl)-1{\alpha}H,\;5{\alpha}H,\;6{\beta}H,\;7{\alpha}H-guai-10(14)$, 11(13)-dien-6, 12-olide(4), $3{\beta},\;4{\alpha},\;dihydroxy-4{\beta}-(hydroxymethyl)-1{\alpha}H,\;5{\alpha}H,\;6{\beta}H,\;7{\alpha}H-guai-10(14)$, 11(13)-dien-6, 12-olide(5), $3{\beta},\;4{\alpha}-dihydroxy-4{\beta}-(chloromethyl)-8{\alpha}-(4-hydroxymethacrylate)-1{\alpha}H,\;5{\alpha}H,\;6{\beta}H,\;7{\alpha}H-guai-10(14)$, 11(13)-dien-6, 12-olide (6) by spectroscopic methods. All of them showed inhibitory potential against butyrylcholinesterase.

• East Asian mathematical journal
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• v.19 no.1
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• pp.73-80
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• 2003

Let D be a bounded domain in $\mathbb{C}^n$ with $C^2$ boundary. In this paper, we prove the following inequality $${\parallel}u{\parallel}_{p_2,{\alpha}_2}{\lesssim}{\parallel}u{\parallel}_{p_1,{\alpha}_1}+{\parallel}\bar{\partial}u{\parallel}_{p_1,{\alpha}_1+p_1}/2$$, where $1{\leq}p_1{\leq}p_2<\infty,\;{\alpha}_j>0,(n+{\alpha}_1)/p_1=(n+{\alpha}_1)/p_1=(n+{\alpha}_2)/p_2$, and $1/p_2{\geq}1/p_1-1/2n$.

• YAKHAK HOEJI
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• v.37 no.1
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• pp.49-53
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• 1993

Arylalkanoic acid derivatives are known as good non-steroidal antiinflamatory and antirheumatic agents. The new arylalkanoic acid derivatives were synthesized when 2-chloro-3-($\alpha$-cyano-$\alpha$-ethoxycarbonyl-methyl)-1, 4-naphthoquinone was reacted with some arylamines.