• East Asian mathematical journal
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• 제19권1호
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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 $1/p_2{\geq}1/p_1-1/2n$.

• Journal of Gastric Cancer
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• 제6권1호
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• pp.36-42
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• 2006

목적: 암의 발생과 진행에 있어서 비정상적인 세포주기로 인하여 조절이 불가능한 세포성장과 분열이 중요한 기전으로 관여한다. 세포주기는 cyclin, CDK와 cyclin의 복합체는 CDKI에 의해 억제된다. 세포주기를 억제하는 인자는 종양 세포에서도 종양억제인자로 작용한다. 세포 주기 조절인자 CDKI는 INK family, CIP/KIP family로 구분된다. 본 연구는 CIP/KIP family인 $p21^{Waf1/Cip1}\;27^{kip1}$ 단백질의 발현유무에 따른 위암의 임상조직학적인 특성 및 예후와 연관성에 대해 조사하였다. 대상 및 방법: 1993년부터 1997년까지 위암으로 진단받고 수술적 치료를 받은 환자들 중에 추적 조사가 가능하고 파라핀 포매 조직상태가 좋은 192명의 환자를 대상으로 하였다. $p21^{Waf1/Cip1}$과$p27^{kip1}$에 대해 면역조직화학염색을 시행하였고, 종양세포의 핵에 염색되는 세포를 양성 판정하였다. 통계학적 분석은 임상조직학적인 특성과 생존율의 차이에 대하여 시행하였다. 결과: $p21^{Waf1/Cip1}$은 15.6% (30/192), $p27^{kip1}$은 28.1% (54/192)의 발현율을 보였다. $p21^{Waf1/Cip1}$은 양성에서는 T1-2 (80.0%), 음성에서는 T3-4 (50.6%)가 차지하는 비율이 높았으며(P<0.05) 다른 인자에서는 통계적인 유의성이 없었다. $p27^{kip1}$에서는 T-stage에서 $p21^{Waf1/Cip1}$과 비슷한 결과(77.8%, 55.1%)를 보였으며, Lauren 분류에서는 장형(62.7%)보다 미만형(91.3%)에서 음성을 보이는 비율이 높았다.(P<0.05)$p27^{kip1}$도 다른 인자에서는 통계적인 유의성이 없었다. 의 상관관계는 $p21^{Waf1/Cip1}(+)$과 $p27^{kip1}$의 상관관계는 $p21^{Waf1/Cip1}(+)/p27^{kip1}(+)$ 보이는 경우(53.3%)와, $p21^{Waf1/Cip1}(-)/p27^{kip1}(-)$ 보이는 경우(76.5%)가 많았다(P<0.05). $p21^{Waf1/Cip1}$과 $p27^{kip1}$ 복합 검사에서는 $p21^{Waf1/Cip1}(+)/p27^{kip1}(+)$인 경우에 T1-2 (87.5%)가 많았고 $p21^{Waf1/Cip1}(-)/p27^{kip1}(-)$인 경우에는 T3-4(58.1%)가 많았다(P<0.05). 또한 Lauren 분류에서는 $p21^{Waf1/Cip1}(+)/p27^{kip1}$인 경우가 장형 (100%)에서만 나타났으며(P<0.05), $p21^{Waf1/Cip1}(-)/p27^{kip1}(-)$인 경우는 미만형인 경우(87.0%)가 장형(54.9%)의 경우보다 많은 비율을 차지하였다(P<0.05). 5년 장기 생존율에 있어서는 각각의 $p21^{Waf1/Cip1}$과$p27^{kip1}$의 발현 유무에 따른 통계적인 유의성은 없었고 복합 검사에서도 $p21^{Waf1/Cip1}(+)/p27^{kip1}(+)$의 경우에 생존율이 높았지만 통계적인 유의성은 없었다. 결론: 저자들의 경우에는 $p21^{Waf1/Cip1}$과$p27^{kip1}$은 서로 비슷한 발현 형태를 나타내고 $p21^{Waf1/Cip1}$과$p27^{kip1}$의 발현은 침윤 정도에 영향을 주며, $p27^{kip1}$의 경우에는 Lauren분류와 관련성이 있었다. 또한, $p21^{Waf1/Cip1}$과$p27^{kip1}$ 복합 검사는 침윤 정도와 Lauren 분류와 연관성이 있다고 할 수 있다. 하지만, $p21^{Waf1/Cip1}$과$p27^{kip1}$의 발현에 따른 생존율의 차이가 유의성을 보이지 않아, 예후 예측인자로의 적용은 한계가 있다고 생각한다.

• 호남수학학술지
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• 제1권1호
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• pp.1-9
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• 1979

Positive Local Coordmate($(x^1,x^2,{\cdots}x^n)$)을 갖는 Oriented Manifold M을 생각한다. M이 Compact Carrier를 갖는 경우, M위의 n차(次) Differential Form ${\phi}^{(n)}$의 적분(積分)을 $${\int}{\phi}^{(n)}=\sum_{\alpha}{\int}_{-{\infty}}^{\infty}{\cdots}{\int}_{-{\infty}}^{\infty}f_{\alpha}{\phi}^{(n)}dx^1{\cdots}dx^n$$로 정의(定義)하며 (정의(定義) 7), M위의 p 차(次)의 Differential form $\beta^{(p)}$와 Differential simplex $S^{(p)}=(S^{(p)},\;{\pi},\;{\varepsilon})$에 대하여 $S^{(p)}$위의 $\beta^{(p)}$의 적분(積分)을 $${\int}_{^{(p)}S}{\beta}^{(p)}={\int}_{S^{(p)}}{\varepsilon}{\pi}^*{\beta}^{(p)}={\int}_{E^p}f{\cdot}{\varepsilon}{\cdot}{\pi}^*{\beta}^{(p)}$$로 정의(定義)한다 (정의(定義) 9). 단(但) $\bar{S}^{(p)}$는 $S^{(p)}=(p_0{\cdot}p_1{\cdots}p_p)$에 의(依)하여 Spanning 되는 $E^p$의 Subspace이고 f는 $\bar{S}^{(p)}$의 특성함수(特性函數)이다. 이때 (n-1)차(次)의 Differential Form ${\beta}^{(n-1)}$이 Compart인 Carrier를 가지면 ${\int}d{\beta}^{(n-1)}=0$이 됨을 고찰(考察)하며(정리(定理 8), (p-1)차(次) Differential Form ${\beta}^{(p-1)$과 p차(次) Differential Chain $C^{(p)}$에 관(關)하여 $${\int}_{C^{(p)}}d{\beta}^{(p-1)}={\int}_{{\partial}C^{(p)}}{\beta}^{(p-1)}$$이 성립(成立)함을 구명(究明)하려 한다(정리(定理) 10).

• Kyungpook Mathematical Journal
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• 제48권3호
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• pp.359-366
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• 2008

Let A(p) be the class of functions $f\;:\;z^p\;+\;\sum\limits_{j=1}^{\infty}a_jz^{p+j}$ analytic in the open unit disc E. Let, for any integer n > -p, $f_{n+p-1}(z)\;=\;z^p+\sum\limits_{j=1}^{\infty}(p+j)^{n+p-1}z^{p+j}$. We define $f_{n+p-1}^{(-1)}(z)$ by using convolution * as $f_{n+p-1}\;*\;f_{n+p-1}^{-1}=\frac{z^p}{(1-z)^{n+p}$. A function p, analytic in E with p(0) = 1, is in the class $P_k(\rho)$ if ${\int}_0^{2\pi}\|\frac{Re\;p(z)-\rho}{p-\rho}\|\;d\theta\;\leq\;k{\pi}$, where $z=re^{i\theta}$, $k\;\geq\;2$ and $0\;{\leq}\;\rho\;{\leq}\;p$. We use the class $P_k(\rho)$ to introduce a new class of multivalent analytic functions and define an integral operator $L_{n+p-1}(f)\;\;=\;f_{n+p-1}^{-1}\;*\;f$ for f(z) belonging to this class. We derive some interesting properties of this generalized integral operator which include inclusion results and radius problems.

• 한국통신학회논문지
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• 제33권9C호
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• pp.669-675
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• 2008

홀수인 소수 p와 n=4k, 그리고 $d=((p^2k+1)/2)^2$에 대해서, 주기가 $p^n-1$인 p-진 m-수열 s(t)에 대해서 $(p^{2k}+1)/2$개의 서로 다른 decimated 수열들 s(dt+1), $0{\leq}l<(p^{2k}+1)/2$가 존재한다. 이 논문에서는 s(t)와 s(dt+l), $0{\leq}l<(p^{2k}+1)/2$ 사이의 상호상관 값이 $\{-1,-1{\pm}\sqrt{p^n},-1+2\sqrt{p^n}\}$과 같음을 보이고, 상호 상관 값의 분포를 유도하였다.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2005년도 추계 학술대회논문집
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• pp.117-124
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• 2005

Splitting algorithms of the incompressible Navier-Stokes equations using P1P1/P2P1 finite element formulation are newly proposed. P1P1 formulation allocates velocity and pressure at the same nodes, while P2P1 formulation allocates pressure only at the vertex nodes and velocity at both the vertex and mid nodes. For comparison of the elapsed time and accuracy of the two methods, they have been applied to the well-known benchmark problems. The three cases chosen are the two-dimensional steady and unsteady flows around a fixed cylinder, decaying vortex, and impinging slot jet. It is shown that the proposed P2P1 semi-splitting method performs better than the conventional P1P1 splitting method in terms of both accuracy and computation time.

• 대한기계학회논문집B
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• 제30권3호
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• pp.262-269
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• 2006

Segregation algorithms of the incompressible Wavier-Stokes equations using P1P1/P2P1 finite element formulation are newly proposed. P1P1 formulation allocates velocity and pressure at the same nodes, while P2P1 formulation allocates pressure only at the vertex nodes and velocity at both the vertex and the midpoint nodes. For a comparison of both the elapsed time and the accuracy between the two methods, they have been applied to the well-known benchmark problems. The three cases chosen are the two-dimensional steady and unsteady flows around a fixed cylinder, decaying vortex, and impinging slot jet. It is shown that the proposed P2P1 semi-segregation algorithm performs better than the conventional P1P1 segregation algorithm in terms of both accuracy and computation time.

• Journal of Microbiology
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• 제39권4호
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• pp.286-292
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• 2001

During mitosis. the proper segregation of duplicated chromosomes is corrdinated by a spindle check-point. The bifurcated spindle checkpoint blocks cell cycle progression at metaphase by monitoring unattached kinetochores and inhibits mitotic exit in response to the misorientation of the mitotic spin- dle Ibd1p/Bfa1p is a spindle checkpoint regulator of budding yeast in the Bub2p checkpoint pathway for mitotic exit and its disruption abolishes mitotic arrest when proper organization of the mitotic spin-dls inhibited. Ibd1p/Bfa1p localizes to the spindle pole body, a microtublue-organizing center in yeast, and its overexpression arrests the cell cycle in 80% of cells with an enlarged budy at mitosis and in 20 % of cells with multiple buds. In this study, we found that the C-terminus of Ibd1p/Bfa1p phys-ically interacts with Skp1p, a key component of SCF (Skp1/cullin/F-box) complex for ubiquition-medi-ated proteolysis of cel cycle regulatores as well as an evolutionally conserved kinetochore protein for cell cycle progression. A putative F-box motif was found in the C-terminus of Ibd1p/Bfa1p and its function was investigated by making mutants of conserved residues in the motif. These Ibd1p/Bfa1p mutants of a putative F-box interacted with SKp1p in vitro by two-hybrid assays as wild type Ibd1p/Bfa1p. Also these Ibd1p/Bfa1p utants displayed the overexpression phenotypes of wild type Ibd1p, when over-expressed under inducible promoters . These results suggest that a putative F-box motif of Ibd1p/Bfa1p is not essential for the interaction with SKp1p and its function in mitotic exit and cytokinesis.

• 대한화학회지
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• 제36권2호
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• pp.318-323
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• 1992

Vinylsulfilimine 유도체(H, p-$CH_3$, m-TEX>$CH_3$, p-Cl, p-Br, p-$OCH_3$, 및 p-$NO_2$)에 1-methyl-5-mercapto-1,2,3,4-tetrazole을 반응시켜 다음 7가지의 새로운 호합물을 합성하였다. S-Phenyl-S-2-(1-methyl-1,2,3,4-tetrazole-5-thio)-ethyl-N-p-tosylsulfilimine, S-p-tolyl-S-2-(1-methyl-1,2,3,4-tetrazole-5-thio)-ethyl-N-p-tosylsulfilimine, S-m-tolyl-S-2-(1-methyl-1,2,3,4-tetrazole-5-thio)-ethyl-N-p-tosylsulfilimine, S-p-chlorophenyl-S-2-(1-methyl-1,2,3,4-tetrazole-5-thio)-ethyl-N-p-tosylsulfilimine, S-p-bromophenyl-S-2-(1-methyl-1,2,3,4-tetrazole-5-thio)-ethyl-N-p-tosylsulfilimine, S-p-methoxyphenyl-S-2-(1-methyl-1,2,3,4-tetrazole-5-thio)-ethyl-N-p-tosylsulfilimine and S-p-nitrophenyl-S-2-(1-methyl-1,2,3,4-tetrazole-5-thio)-ethyl-N-p-tosylsulfilimine. 이 화합물들의 구조는 원소분석, MP, UV, IR 및 NMR 스펙트럼에 의해 확인되었다.

• Molecules and Cells
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• 제21권2호
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• pp.251-260
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• 2006

During mitosis, genomic integrity is maintained by the proper coordination of anaphase entry and mitotic exit via mitotic checkpoints. In budding yeast, mitotic exit is controlled by a regulatory cascade called the mitotic exit network (MEN). The MEN is regulated by a small GTPase, Tem1p, which in turn is controlled by a two-component GAP, Bfa1p-Bub2p. Recent results suggested that phosphorylation of Bfa1p by the polorelated kinase Cdc5p is also required for triggering mitotic exit, since it decreases the GAP activity of Bfa1p-Bub2p. However, the dispensability of GEF Lte1p for mitotic exit has raised questions about regulation of the MEN by the GTPase activity of Tem1p. We isolated a Bfa1p mutant, $Bfa1p^{E438K}$, whose overexpression only partially induced anaphase arrest. The molecular and biochemical functions of $Bfa1p^{E438K}$ are similar to those of wild type Bfa1p, except for decreased GAP activity. Interestingly, in $BFA1^{E438K}$ cells, the MEN could be regulated with nearly wild type kinetics at physiological temperature, as well as in response to various checkpoint-activating signals, but the cells were more sensitive to spindle damage than wild type. These results suggest that the GAP activity of Bfa1p-Bub2p is responsible for the mitotic arrest caused by spindle damage and Bfa1p overproduction. In addition, the viability of cdc5-2 ${\Delta}bfa1 $ cells was not reduced by $BFA1^{E438K}$, suggesting that Cdc5p also regulates Bfa1p to activate mitotic exit by other mechanism(s), besides phosphorylation.