• Title/Summary/Keyword: e-matrix

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균일하게 탄성지지된 보-기둥요소의 엄밀한 동적강성행렬 유도 (Derivation of Exact Dynamic Stiffness Matrix of a Beam-Column Element on Elastic Foundation)

  • 김문영;윤희택;곽태영
    • 한국전산구조공학회논문집
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    • 제15권3호
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    • pp.463-469
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    • 2002
  • 탄성지반 위에 놓인 보-기둥 요소의 총포텐셜 에너지로부터 변분원리를 적용하여 지배방정식과 힘-변위 관계식을 유도하였다. 4계 상미분방정식 형태의 지배방정식을 4개의 변위 파라메타를 도입하여 1계 연립미분방정식 형태의 선형 고유치 문제로 전환하고, 힘-변위 관계식을 적용하여 엄밀한 정적, 동적 요소강성행렬을 유도하였다. 직접강성법을 이용하여 구조물 강성행렬을 구하고, 2차원 보-기둥구조의 엄밀한 좌굴하중과 고유진동수를 구하고, 결과를 유한요소해와 비교함으로써 본 연구의 타당성을 검증하였다. 이러한 엄밀한 해석방법은 Hermitian 다항식을 형상함수로 도입하여 요소의 강성행렬을 산정하는 유한요소법과 비교할 때, 요소의 수를 대폭 줄일 수 있는 장점이 있다.

셀화 제조를 도입한 FMS에서 공구중복에 의한 예외적 요소의 제거 방법 (A Method of Eliminating Exceptional Elements by Tool Duplication in Cellular Manufacturing System.)

  • 장익;윤창원;정병희
    • 산업경영시스템학회지
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    • 제20권44호
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    • pp.297-309
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    • 1997
  • Exceptional Elements(E.E) are generally eliminated by a machine duplication or a subcontract in cellular manufacturing system. One of the advantages in FMS consists of machines capable of multi-processing. This paper presents a method that eliminates E.Es by tool duplication. First, we develop the exceptional operation similarity(EOS) by machine cell-operation incidence matrix and part-operation incidence matrix. The EOS indicates a similarity of unperformable operations in each part when two exceptional parts are assigned to a machine cell. Secondly, a mathematical model to minimize tool duplication is developed by the EOS. Finally, a heuristic algorithm is developed to reflect dynamic situation in process of elimination of exceptional elements by the EOS and the mathematical model. A numerical example is provided to illustrate the algorithm.

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Structures Related to Right Duo Factor Rings

  • Chen, Hongying;Lee, Yang;Piao, Zhelin
    • Kyungpook Mathematical Journal
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    • 제61권1호
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    • pp.11-21
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    • 2021
  • We study the structure of rings whose factor rings modulo nonzero proper ideals are right duo; such rings are called right FD. We first see that this new ring property is not left-right symmetric. We prove for a non-prime right FD ring R that R is a subdirect product of subdirectly irreducible right FD rings; and that R/N∗(R) is a subdirect product of right duo domains, and R/J(R) is a subdirect product of division rings, where N∗(R) (J(R)) is the prime (Jacobson) radical of R. We study the relation among right FD rings, division rings, commutative rings, right duo rings and simple rings, in relation to matrix rings, polynomial rings and direct products. We prove that if a ring R is right FD and 0 ≠ e2 = e ∈ R then eRe is also right FD, examining that the class of right FD rings is not closed under subrings.

Zinc Deficiency Decreased Alkaline Phosphatase Expression and Bone Matrix Ca Deposits in Osteoblast-like MC3T3-E1 Cells

  • Cho Young-Eon;Lomeda Ria-Ann R.;Kim Yang-Ha;Ryu Sang-Hoon;Choi Je-Yong;Kim Hyo-Jin;Beattie John H.;Kwun In-Sook
    • Nutritional Sciences
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    • 제8권4호
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    • pp.242-249
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    • 2005
  • It is well established that zinc plays an important role in bone metabolism and mineralization. The role of zinc in bone formation is well documented in animal models, but not much reported in cell models. In the present study, we evaluated zinc deficiency effects on osteoblastic cell proliferation, alkaline phosphatase activity and expression, and extracellular matrix bone nodule formation and bone-related gene expression in osteoblastic MC3T3-E1 cells. To deplete cellular zinc, chelexed-FBS and interpermeable zinc chelator TPEN were used. MC3T3-E1 cells were cultured in zinc concentration-dependent (0-15 ${\mu}M\;ZnCl_2$) and time-dependent (0-20 days) manners. MC3T3-E1 cell proliferation by MTT assay was increased as medium zinc level increased (p<0.05). Cellular Ca level and alkaline phosphatase activity were increased as medium zinc level increased (p<0.05). Alkaline phosphatase expression, a marker of commitment to the osteoblast lineage, measured by alkaline phosphatase staining was increased as medium zinc level increased. Extracellular calcium deposits measured by von Kossa staining for nodule formation also appeared higher in Zn+(15 ${\mu}M\;ZnCl_2$) than in Zn-(0 ${\mu}M\;ZnCl_2$). Bone formation marker genes, alkaline phosphatase and osteocalcin, were also expressed higher in Zn+ than in Zn-. The current work supports the beneficial effect of zinc on bone mineralization and bone-related gene expression. The results also promote further study as to the molecular mechanism of zinc deficiency for bone formation and thus facilitate to design preventive strategies for zinc-deficient bone diseases.

Gelastatins, New Inhibitors of Matrix Metalloproteinases from Westerdykella multispora F50733

  • Lee, Ho-Jae;Chung, Myung-Chul;Lee, Choong-Hwan;Chun, Hyo-Kon;Rhee, Joon-Shick;Kho, Yung-Hee
    • 한국응용약물학회:학술대회논문집
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    • 한국응용약물학회 1998년도 Proceedings of UNESCO-internetwork Cooperative Regional Seminar and Workshop on Bioassay Guided Isolation of Bioactive Substances from Natural Products and Microbial Products
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    • pp.128-128
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    • 1998
  • Matrix metalloproteinases (MMPs) are a family of zinc-dependent proteases that degrade extracellular matrix and basement membrane. These enzymes are play important roles in tumor cell invasion and metastasis, as well as angiogenesis and other connective tissue diseases. In our screening program for inhibitors of MMP-2 from fungal metabolites, we have isolated novel non-peptidic inhibitors of MMPs, designated gelastatin A and B from the culture broth of Westerdykella multispora F50733. The structures of gelastatin A and B were determined to be 3-(5E-hexa-2E,4E-dienylidene-2-oxo-5,6-dihydro-2H-pyran-3yl)-propanoic acid and 3-(5Z-hexa-2E,4E-dienylidene-2-oxo-5,6-dihydro-2H-pyran-3yl)-propanoic acid, respectively. Gelastatin A and B exist as a mixture of two stereoisomers in a ratio of 2: 1. The 2: 1 mixture of gelastatin A and B inhibited activated MMP-2 and MMP-9 with an IC$\sub$50/ value of 0.63, 5.29 ${\mu}$M, respectively. They inhibited the invasion of B16F10 melanoma cells through basement membrane Matrigel with dose dependent.

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The effects of bone morphogenetic protein-2 and enamel matrix derivative on the bioactivity of mineral trioxide aggregate in MC3T3-E1cells

  • Jeong, Youngdan;Yang, Wonkyung;Ko, Hyunjung;Kim, Miri
    • Restorative Dentistry and Endodontics
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    • 제39권3호
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    • pp.187-194
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    • 2014
  • Objectives: The effects of bone morphogenetic protein-2 (BMP-2) and enamel matrix derivative (EMD) respectively with mineral trioxide aggregate (MTA) on hard tissue regeneration have been investigated in previous studies. This study aimed to compare the osteogenic effects of MTA/BMP-2 and MTA/EMD treatment in MC3T3-E1 cells. Materials and Methods: MC3T3-E1 cells were treated with MTA (ProRoot, Dentsply), BMP-2 (R&D Systems), EMD (Emdogain, Straumann) separately and MTA/BMP-2 or MTA/EMD combination. Mineralization was evaluated by staining the calcium deposits with alkaline phosphatase (ALP, Sigma-Aldrich) and Alizarin red (Sigma-Aldrich). The effects on the osteoblast differentiation were evaluated by the expressions of osteogenic markers, including ALP, bone sialoprotein (BSP), osteocalcin (OCN), osteopontin (OPN) and osteonectin (OSN), as determined by reverse-transcription polymerase chain reaction analysis (RT-PCR, AccuPower PCR, Bioneer). Results: Mineralization increased in the BMP-2 and MTA/BMP-2 groups and increased to a lesser extent in the MTA/EMD group but appeared to decrease in the MTA-only group based on Alizarin red staining. ALP expression largely decreased in the EMD and MTA/EMD groups based on ALP staining. In the MTA/BMP-2 group, mRNA expression of OPN on day 3 and BSP and OCN on day 7 significantly increased. In the MTA/EMD group, OSN and OCN gene expression significantly increased on day 7, whereas ALP expression decreased on days 3 and 7 (p < 0.05). Conclusions: These results suggest the MTA/BMP-2 combination promoted more rapid differentiation in MC3T3-E1 cells than did MTA/EMD during the early mineralization period.

경계 적분법을 이용한 박막유전체의 3차원 정전장 해석 (Three-dimensinal electro static field calculation of thin film dielectric substance using boundary integral equation method.)

  • 김용일;황보훈;최홍순;박일한
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 제36회 하계학술대회 논문집 B
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    • pp.1123-1125
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    • 2005
  • 본 논문에서는 3차원 공간에 종이와 같은 박막형 유전체가 있을 때 임의의 점에서의 전계$\vec{E}$를 구하기 위해 유전체의 분극벡터$\vec{P}$를 미지수로 하는 경계적분법(Boundary integral method)을 사용한다. 경계적분법의 사용으로 FEM 3차원 해석에 있어서의 요소분할의 난이성 및 계수 행렬의 대형화로 인한 컴퓨터 수행능력의 한계를 극복할 수 있다. 여기서 분극벡터$\vec{P}$를 구하기 위해 전하에서의 전계${ves{E}}_s$에 의한 유전체내의 분극벡터$\vec{P}$를 수식으로 정리하여 $[\vec{K}][\vec{P}]=[\vec{E}]$ 형태의 $\vec{P}$를 미지수로 하는 system matrix를 구성한다. 위의 system matrix 통해 구해진 분극벡터 $\vec{P}$를 이용하여 유전체 밖의 한 점에서의 전계세기 ${\vec{E}}_m$를 구한 후 우리가 구하고자 하는 전계$\vec{E}$를 계산한다.

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전달행렬법을 사용하여 균열이 있는 티모센코 보의 동특성 해석 (Dynamic Analysis of Cracked Timoshenko Beams Using the Transfer Matrix Method)

  • 김정호;곽종훈;이정우;이정윤
    • 한국소음진동공학회논문집
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    • 제26권2호
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    • pp.179-186
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    • 2016
  • This paper presents a numerical method that can evaluate the effect of crack for the in-plane bending vibration of Timoshenko beam. The method is a transfer matrix method that the element transfer matrix is deduced from the element dynamic stiffness matrix. An edge crack is expressed as a rotational spring, and then is formulated as an independent transfer matrix. To demonstrate the accuracy of this theory, the results computed from the present are compared with those obtained from the commercial finite element analysis program. Based on these comparison results, a parametric study is performed to analyze the effects for the size and locations of crack.

ANALYSIS OF THE UPPER BOUND ON THE COMPLEXITY OF LLL ALGORITHM

  • PARK, YUNJU;PARK, JAEHYUN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제20권2호
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    • pp.107-121
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    • 2016
  • We analyze the complexity of the LLL algorithm, invented by Lenstra, Lenstra, and $Lov{\acute{a}}sz$ as a a well-known lattice reduction (LR) algorithm which is previously known as having the complexity of $O(N^4{\log}B)$ multiplications (or, $O(N^5({\log}B)^2)$ bit operations) for a lattice basis matrix $H({\in}{\mathbb{R}}^{M{\times}N})$ where B is the maximum value among the squared norm of columns of H. This implies that the complexity of the lattice reduction algorithm depends only on the matrix size and the lattice basis norm. However, the matrix structures (i.e., the correlation among the columns) of a given lattice matrix, which is usually measured by its condition number or determinant, can affect the computational complexity of the LR algorithm. In this paper, to see how the matrix structures can affect the LLL algorithm's complexity, we derive a more tight upper bound on the complexity of LLL algorithm in terms of the condition number and determinant of a given lattice matrix. We also analyze the complexities of the LLL updating/downdating schemes using the proposed upper bound.

사람피부섬유아세포 및 섬유아육종세포로부터 유래된 기질금속단백질효소에 대한 해조류의 효능 (Effects of Seaweeds on Matrix Metalloproteinases Derived from Normal Human Dermal Fibroblasts and Human Fibrosarcoma Cells)

  • 박인환;이상훈;김세권;;전유진;김문무
    • 생명과학회지
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    • 제21권11호
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    • pp.1501-1510
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    • 2011
  • 최근에 해양자원에 있는 동물, 해조류 곰팡이 세균에서 신규 잠재적인 후보약효제가 조사되어 왔다. 본 연구에서는 치료제를 탐색하기 위하여 암전이, 관절염, 만성염증 및 주름형성에 주요한 역할을 하는 기질금속단백질분해효소(s) (MMPs)를 목적효소로 이용하였다. 5종의 녹조류, 18종의 홍조류, 4종의 갈조류를 포함한 다양한 해조류가 사람피부섬유아세포 및 섬유아육종세포로부터 유래된 기질금속단백질효소에 미치는 영향을 gelatin zymography를 이용하여 조사하였다. 사람피부섬유아세포에서는 홍조류중에서 Laurencia okamurae, Polysiphonia japonica, Grateloupia lanceolate 및 Sinkoraena lancifolia에서 MMP-2 억제효과가 관찰되었다. 반면에 녹조류의 Enteromorpha compressa와 Enteromorpha linza, 갈조류의 Peltaronia bighamiae and Sargassum thunbergii에서는 MMP-2 활성화가 관찰되었다. 사람섬유아육종세포에서는 MMP-9 활성화가 갈조류인 Sargassum thunbergii, 홍조류의 Polysiphonia japonica, 녹조류의 Enteromorpha compressa와 Enteromorpha linza의 존재 하에서는 감소되었다. 본 연구에서 흥미로운 발견은 녹조류의 E. compressa와 E. linza 및 갈조류의 S. thunbergii는 정상세포에서는 MMP-2에 대하여 활성화 효과를 나타내었으나, 암세포에서는 MMP-9응 억제하는 효과를 나타낸 것이다. 이러한 결과는 녹조류의 E. compressa와 E. linza 및 갈조류의 S. thunbergii는 항암 효능을 발휘할 수 있는 성분을 함유하고 있다는 것을 암시하고 있다.