• Title/Summary/Keyword: normal matrix

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A note on the test for the covariance matrix under normality

  • Park, Hyo-Il
    • Communications for Statistical Applications and Methods
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    • v.25 no.1
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    • pp.71-78
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    • 2018
  • In this study, we consider the likelihood ratio test for the covariance matrix of the multivariate normal data. For this, we propose a method for obtaining null distributions of the likelihood ratio statistics by the Monte-Carlo approach when it is difficult to derive the exact null distributions theoretically. Then we compare the performance and precision of distributions obtained by the asymptotic normality and the Monte-Carlo method for the likelihood ratio test through a simulation study. Finally we discuss some interesting features related to the likelihood ratio test for the covariance matrix and the Monte-Carlo method for obtaining null distributions for the likelihood ratio statistics.

Cloning of a matrix metalloproteinase cDNA from Scylliorhinus torazame (두툽상어 matrix metalloproteinase 유전자 cDNA의 클로닝)

  • Kim, Jon Won;Cho, Won Jin;Chun, Kwang Ho;Kim, Kyu-Won;Kim, Yung-Jin;Lee, Sang-Jun;Shin, Hae-Ja;Lim, Woon Ki
    • Journal of Life Science
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    • v.8 no.3
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    • pp.235-240
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    • 1998
  • Matrix metalloproteinases(MMPs) are a group of zinc enzymes responsible for degradation of the matrix components such as collagen and proteoglycans in normal embryogenesis and remodeling and in many disease processes such as arthritis, cancer, periodontitis, and osteprocess. Genetically distince MMPs have been characterized and their genes have been cloned thus far from a variaty of species but not from fishes. In this stydy, a mmp cDNA was cloned by using RT-PCR(reverse transcriptase dependent polymerase chain reaction) from Scylliorhinus toraxzame(shark), agroup of cartilaginous fish, abundant in the coast of Pusan, Korea. It has 74% base homologue with membrane type matrix matalloproteinase-3 genes(mt3-mmps) from human, rat and chick, and also shows more than 90% residue homologue with them. In addition, it has cysteine switch domain, zinc binding domain(HExGH motif), propeptide cleavage site, and RRKR motif, which are present in MMPs. This result indicates that cDNA fragment cloned here may be mt3-mmp or its analogous gejne cDNA fragment of Scylliorhinus torzame.

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ON QB-IDEALS OF EXCHANGE RINGS

  • Chen, Huanyin
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.5
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    • pp.873-884
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    • 2009
  • We characterize QB-ideals of exchange rings by means of quasi-invertible elements and annihilators. Further, we prove that every $2\times2$ matrix over such ideals of a regular ring admits a diagonal reduction by quasi-inverse matrices. Prime exchange QB-rings are studied as well.

ON EXCHANGE IDEALS

  • CHEN, HUANYIN
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.2
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    • pp.295-305
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    • 2005
  • In this paper, we investigate exchange ideals and get some new characterization of exchange rings. It is shown that an ideal I of a ring R is an exchange ideal if and only if so is $QM_2$(I). Also we observe that every exchange ideal can be characterized by exchange elements.

On Computing a Cholesky Decomposition

  • Park, Jong-Tae
    • Communications for Statistical Applications and Methods
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    • v.3 no.2
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    • pp.37-42
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    • 1996
  • Maximum likelihood estimation of Cholesky decomposition is considered under normality assumption. It is shown that maximum liklihood estimation gives a Cholesky decomposition of the sample covariance matrix. The joint distribution of the maximum likelihood estimators is derived. The ussual algorithm for a Cholesky decomposition is shown to be equivalent to a maximumlikelihood estimation of a Cholesky root when the underlying distribution is a multivariate normal one.

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The mechanism of human neural stem cell secretomes improves neuropathic pain and locomotor function in spinal cord injury rat models: through antioxidant, anti-inflammatory, anti-matrix degradation, and neurotrophic activities

  • I Nyoman Semita;Dwikora Novembri Utomo;Heri Suroto;I Ketut Sudiana;Parama Gandi
    • The Korean Journal of Pain
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    • v.36 no.1
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    • pp.72-83
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    • 2023
  • Background: Globally, spinal cord injury (SCI) results in a big burden, including 90% suffering permanent disability, and 60%-69% experiencing neuropathic pain. The main causes are oxidative stress, inflammation, and degeneration. The efficacy of the stem cell secretome is promising, but the role of human neural stem cell (HNSC)-secretome in neuropathic pain is unclear. This study evaluated how the mechanism of HNSC-secretome improves neuropathic pain and locomotor function in SCI rat models through antioxidant, anti-inflammatory, anti-matrix degradation, and neurotrophic activities. Methods: A proper experimental study investigated 15 Rattus norvegicus divided into normal, control, and treatment groups (30 µL HNSC-secretome, intrathecal in the level of T10, three days post-traumatic SCI). Twenty-eight days post-injury, specimens were collected, and matrix metalloproteinase (MMP)-9, F2-Isoprostanes, tumor necrosis factor (TNF)-α, transforming growth factor (TGF)-β, and brain derived neurotrophic factor (BDNF) were analyzed. Locomotor recovery was evaluated via Basso, Beattie, and Bresnahan scores. Neuropathic pain was evaluated using the Rat Grimace Scale. Results: The HNSC-secretome could improve locomotor recovery and neuropathic pain, decrease F2-Isoprostane (antioxidant), decrease MMP-9 and TNF-α (anti-inflammatory), as well as modulate TGF-β and BDNF (neurotrophic factor). Moreover, HNSC-secretomes maintain the extracellular matrix of SCI by reducing the matrix degradation effect of MMP-9 and increasing the collagen formation effect of TGF-β as a resistor of glial scar formation. Conclusions: The present study demonstrated the mechanism of HNSC-secretome in improving neuropathic pain and locomotor function in SCI through antioxidant, anti-inflammatory, anti-matrix degradation, and neurotrophic activities.

Prediction of Non-linear Behavior of Flexible Matrix Composites (유연수지를 기지재료로 하는 복합재료의 비선형거동 예측)

  • 서영욱;우경식
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.10
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    • pp.24-31
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    • 2006
  • In this paper, mechanical behavior of unidirectional composites with flexible matrix was predicted by geometrical non-linear finite element analysis. Two typical idealized unit cells of square and hexagonal fiber arrays were modeled and these were subjected to different loadings. The stress-strain behavior of composites was predicted from which the effective properties were calculated. The hyperelasticity of polyurethane matrix was considered using Mooney-Rivlin model. In result, the stress-strain behavior of flexible composites shows non-linearity, especially it is remarkable under transverse normal and shear loading conditions. In this cases, there are great difference between square and hexagonal fiber array models.

Generation of inflow turbulent boundary layer for LES computation

  • Kondo, K.;Tsuchiya, M.;Mochida, A.;Murakami, S.
    • Wind and Structures
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    • v.5 no.2_3_4
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    • pp.209-226
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    • 2002
  • When predicting unsteady flow and pressure fields around a structure in a turbulent boundary layer by Large Eddy Simulation (LES), velocity fluctuations of turbulence (inflow turbulence), which reproduce statistical characteristics of the turbulent boundary layer, must be given at the inflow boundary. However, research has just started on development of a method for generating inflow turbulence that satisfies the prescribed turbulence statistics, and many issues still remain to be resolved. In our previous study, we proposed a method for generating inflow turbulence and confirmed its applicability by LES of an isotropic turbulence. In this study, the generation method was applied to a turbulent boundary layer developed over a flat plate, and the reproducibility of turbulence statistics predicted by LES computation was examined. Statistical characteristics of a turbulent boundary layer developed over a flat plate were investigated by a wind tunnel test for modeling the cross-spectral density matrix for use as targets of inflow turbulence generation for LES computation. Furthermore, we investigated how the degree of correspondence of the cross-spectral density matrix of the generated inflow turbulence with the target cross-spectral density matrix estimated by the wind tunnel test influenced the LES results for the turbulent boundary layer. The results of this study confirmed that the reproduction of cross-spectra of the normal components of the inflow turbulence generation is very important in reproducing power spectra, spatial correlation and turbulence statistics of wind velocity in LES.

Developing Technology Influence Matrix to Support Decision-making for Long-life Housing Planning - Focused on Exclusive Housing Unit of Long-life Housing -

  • Song, Sanghoon;Bang, Jong-Dae;Park, Ji-Young
    • KIEAE Journal
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    • v.16 no.1
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    • pp.47-55
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    • 2016
  • Purpose: Long-life housing causes unavoidable cost increase while providing higher durability, flexibility, and repair easiness compare to those of normal apartment. The effectiveness should be evaluated considering the level of passing mandatory Long-life housing Certification System when supplying specific size of apartment complex. Thus, it is essential to identify the estimated costs and the obtainable grade by applying the optional element technologies selectively during the design phase. This study aimed to suggest the technology influence matrix(TIM) to support decision-making of element technologies in planning stage of long-life housing. Method: The technology influence matrix was established based on the property information about applicable element technologies for long-life housing such as construction methods, interface types, cost data, and certification-related characteristics. The usefulness of TIM was verified through case study, in which TIM was applied to the exclusive housing unit and the influences from four areas of quantity, cost, certification, and schedule were identified and calculated. Result: TIMs covering four areas representing the essential planning factors were developed, and are expected to contribute to sound decision-making in planning long-life housing.

Cloning of a Tissue Inhibitor of Matrix Metalloproteinase-1 (TIMP-1) from a Scylliorhinus torazame (두툽상어에서 tissue inhibitor of matrix metalloproteinase-1 (TIMP-1) 유전자의 클로닝)

  • Kim, Cha-Soon;Bae, Su-Kyoung;Kim, Kyu-Won;Kim, Yung-Jin
    • Journal of Life Science
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    • v.6 no.4
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    • pp.286-292
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    • 1996
  • Angiogenesis is a fundamental process by which new blood vessels are formed. It is essential in embryo development, and wound healing. Furthermore, malignant tumor growth and metastasis are also angiogenesis-dependent. In the catilage tissue, normal angiogenesis process is suppressed. In fact, it was reported that angiogenesis-inhibitory substances were isolated from the extracts of cow and shark catilage tissue. In order to isolate genes involved in the regulation of angiogenesis from a catilage fish, we constructed a shark cDNA library from Scylliohinus torazame. We then screened the library using hyman tissue inhibitor of matrix metalloproteinase-1 (TIMP-1) gene as a probe. Among the 4 X 10$^{4}$ plaques screened, we isolated 2 positive clones (T-1, T-2). Restriction enzyme analysis revealed that the T-1 clone contains 0.8 kb cDNA insert, and the T-2 clone contains 1.2 kb and 2.2 kb inserts, respectively. Further DNA sequence analysis shows that the DNA sequence of the T-1 clone is 53% homologous to that of the human TIMP-1 gene.

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