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On the Autocovariance Function of INAR(1) Process with a Negative Binomial or a Poisson marginal

  • Park, You-Sung;Kim, Heeyoung
    • Journal of the Korean Statistical Society
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    • v.29 no.3
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    • pp.269-284
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    • 2000
  • We show asymptotic normality of the sample mean and sample autocovariances function generated from first-order integer valued autoregressive process(INAR(1)) with a negative binomial or a Poisson marginal. It is shown that a Poisson INAR(1) process is a special case of a negative binomial INAR(1) process.

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The Expression of MRTF-A and AQP1 Play Important Roles in the Pathological Vascular Remodeling

  • Jiang, Yong
    • Asian Pacific Journal of Cancer Prevention
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    • v.16 no.4
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    • pp.1375-1383
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    • 2015
  • Background: Objective Myocardin-related transcription factor (MRTF)-A is a Rho signaling-responsive co-activator of serum response factor (SRF). The purpose of this study is to investigate the role of MRTF-A and AQP1 (aquaporin 1) in pathological vascular remodeling. Materials and Methods: MRTF-A, AQP1 and neointima expression was detected both in the wire injured femoral arteries of wild-type mice and the atherosclerotic aortic tissues of $ApoE^{-/-}$ mice. Expression of ICAM-1, matrix metallopeptidase 9 (MMP-9) and integrin ${\beta}1$ were also assayed. The intercourse relationship between the molecules were investigated by interfering RNA and inhibitor assay. Results: MRTF-A and AQP1 expression were significantly higher in the wire injured femoral arteries of wild-type mice and in the atherosclerotic aortic tissues of $ApoE^{-/-}$ mice than in healthy control tissues. Both in wire-injured femoral arteries in MRTF-A knockout ($Mkl1^{-/-}$) mice and atherosclerotic lesions in $Mkl1^{-/-}$; $ApoE^{-/-}$ mice, neointima formation were significantly attenuated and the expression of AQP1 were significantly decreased. Expression of ICAM-1, matrix metallopeptidase 9 (MMP-9) and integrin ${\beta}1$, three SRF targets and key regulators of cell migration, and AQP1 in injured arteries was significantly weaker in $Mkl1^{-/-}$ mice than in wild-type mice. In cultured vascular smooth muscle cells (VSMCs), knocking down MRTF-A reduced expression of these genes and significantly impaired cell migration. Underlying the increased MRTF-A expression in dedifferentiated VSMCs were the down-regulation of microRNA-300. Moreover, the MRTF-A inhibitor CCG1423 significantly reduced neointima formation following wire injury in mice. Conclusions: MRTF-A could be a novel therapeutic target for the treatment of vascular diseases.

Embedding a Mesh of Size 2n ×2m Into a Twisted Cube (크기 2n ×2m인 메쉬의 꼬인 큐브에 대한 임베딩)

  • Kim, Sook-Yeon
    • The KIPS Transactions:PartA
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    • v.16A no.4
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    • pp.223-226
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    • 2009
  • The twisted cube has received great attention as an interconnection network of parallel systems because it has several superior properties, especially in diameter, to the hypercube. It was recently known that, for even m, a mesh of size $2{\times}2^m$ can be embedded into a twisted cube with dilation 1 and expansion 1 and a mesh of size $4{\times}2^m$ with dilation 1 and expansion 2 [Lai and Tsai, 2008]. However, as we know, it has been a conjecture that a mesh with more than eight rows and columns can be embedded into a twisted cube with dilation 1. In this paper, we show that a mesh of size $2^n{\times}2^m$ can be embedded into a twisted cube with dilation 1 and expansion $2^{n-1}$ for even m and with dilation 1 and expansion $2^n$ for odd m where $1{\leq}n{\leq}m$.

Association Between Tobacco Smoking and Dental Caries in the Indonesian Population: Results of a National Study in 2018

  • Lelly Andayasari;Rofingatul Mubasyiroh;Iin Nurlinawati;Irna Sufiawati
    • Journal of Preventive Medicine and Public Health
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    • v.56 no.4
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    • pp.357-367
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    • 2023
  • Objectives: The 2018 Basic Health Research (RISKESDAS), conducted by the Ministry of Health of the Republic of Indonesia showed a high prevalence of dental caries (88.8%) in Indonesia and suggested that smoking tobacco was associated with an increased risk of dental caries. This study analyzed the association between tobacco smoking and dental caries in the Indonesian population. Methods: This was a cross-sectional analysis of secondary data collected from RISKESDAS 2018. The study population included 35 391 Indonesians aged ≥10 years from all 34 provinces. The decayed, missing, and filled teeth (DMFT) index was used to measure dental caries. Smoking status was assessed qualitatively based on smoking activity, and the level of smoking exposure was assessed based on the Brinkman index. A multivariable logistic regression analysis was employed to examine the relationships of smoking status and smoking exposure levels with the DMFT index. Results: Of the population aged ≥10 years, 36% had a DMFT≥8 (females: 37.5%, males: 33.9%). Almost one-fourth (23.4%) were current smokers, and 4.1% were ex-smokers. Furthermore, 26.4% had a Brinkman index ≥400, indicating heavy smoking. According to the multivariate analysis, current smoking status was associated with the risk of DMFT≥8 in males (adjusted odds ratio [aOR], 1.40; 95% CI, 1.27 to 1.55; p<0.001) and overall (aOR, 1.07; 95% CI, 1.00 to 1.14; p=0.037). In females, ex-smoking was associated with a 41% higher risk of DMFT≥8 (aOR, 1.41; 95% CI, 1.07 to 1.84; p=0.014). Heavy smoking was associated with a higher risk of DMFT≥8 in males (aOR, 1.38; 95% CI, 1.25 to 1.52; p<0.001) and females (aOR, 1.24; 95% CI, 1.03 to 1.50; p=0.022). Conclusions: Tobacco smoking was associated with dental caries in the Indonesian population.

THE COMPARATIVE STUDY ON THE COLOR OF THE DECIDUOUS TEETH AND RESTORATIVE MATERIALS (유치의 치아색과 수복재의 색조선택에 관한 비교연구)

  • Baik, Byeong-Ju;Oh, Kyoung-Seon;Kim, Jae-Gon;Yang, Cheol-Hee
    • Journal of the korean academy of Pediatric Dentistry
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    • v.29 no.3
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    • pp.376-381
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    • 2002
  • The purpose of this study was to analyse the color of natural deciduous teeth in Korean children and to compare with that of composite resin specimens. The subjects were 148 children (80 boys and 68 girls) with good general condition and normal teeth color, aged between 3 and 6 years. The color of middle third of maxillary central incisor in deciduous teeth was examined with shade guide and then measured by means of the colorimeter CV300 which can be measured by CIELAB system. The data were analyzed statistically by SPSS program. The results were summerized as follows; 1. Over 90% of the color for the deciduous anterior teeth was in A1, A2, B1, B2 and P shade. 2. The means of deciduous teeth color were $L^*=58.72,\;a^*=-1.18,\;b^*=-0.63$ by colorimeter CV300. 3. $L^*,\;a^*\;and\;b^*$ prices for A1, A2, B1, B2, P were $L^*=52.52,\;a^*=-1.90,\;b^*=1.18$ in A1 specimen, $L^*=54.90,\;a^*=-1.87,\;b^*=1.60$ in A2 specimen, $L^*=59.80,\;a^*=-2.70,\;b^*=-0.63$ in B1 specimen, $L^*=56.90,\;a^*=-1.70,\;b^*=1.63$ in B2 specimen, $L^*=52.93,\;a^*=-2.33,\;b^*=1.10$ in P specimen. The means of B1 color specimen were most similar to those of deciduous teeth color. The A1 color values were similar to the P color values. 4. The standard deviation of $L^*,\;a^*$ was small among colors, but that of $b^*$, in the yellowish color, was large.

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Metabolic engineering of aliphatic glucosinolates in Chinese cabbage plants expressing Arabidopsis MAM1, CYP79F1, and CYP83A1

  • Zang, Yun-Xiang;Kim, Jong-Hoon;Park, Young-Doo;Kim, Doo-Hwan;Hong, Seung-Beom
    • BMB Reports
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    • v.41 no.6
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    • pp.472-478
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    • 2008
  • Three Arabidopsis cDNAs, MAM1, CYP79F1, and CYP83A1, required for aliphatic glucosinolate biosynthesis were introduced into Chinese cabbage by Agrobacterium tumefaciens-mediated transformation. The transgenic lines overexpressing MAM1 or CYP83A1 showed wild-type phenotypes. However, all the lines overexpressing CYP79F1 displayed phenotypes different from wild type with respect to the stem thickness as well as leaf width and shape. Glucosinolate contents of the transgenic plants were compared with those of wild type. In the MAM1 line M1-1, accumulation of aliphatic glucosinolates gluconapin and glucobrassicanapin significantly increased. In the CYP83A1 line A1-1, all the aliphatic glucosinolate levels were increased, and the levels of gluconapin and glucobrassicanapin were elevated by 4.5 and 2 fold, respectively. The three CYP79F1 transgenic lines exhibited dissimilar glucosinolate profiles. The F1-1 line accumulated higher levels of gluconapoleiferin, glucobrassicin, and 4-methoxy glucobrassicin. However, F1-2 and F1-3 lines demonstrated a decrease in the levels of gluconapin and glucobrassicanapin and an increased level of 4-hydroxy glucobrassicin.

Dikkopf-1 promotes matrix mineralization of osteoblasts by regulating Ca+-CAMK2A- CREB1 pathway

  • Hyosun, Park;Sungsin, Jo;Mi-Ae, Jang;Sung Hoon, Choi;Tae-Hwan, Kim
    • BMB Reports
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    • v.55 no.12
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    • pp.627-632
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    • 2022
  • Dickkopf-1 (DKK1) is a secreted protein that acts as an antagonist of the canonical WNT/β-catenin pathway, which regulates osteoblast differentiation. However, the role of DKK1 on osteoblast differentiation has not yet been fully clarified. Here, we investigate the functional role of DKK1 on osteoblast differentiation. Primary osteoprogenitor cells were isolated from human spinal bone tissues. To examine the role of DKK1 in osteoblast differentiation, we manipulated the expression of DKK1, and the cells were differentiated into mature osteoblasts. DKK1 overexpression in osteoprogenitor cells promoted matrix mineralization of osteoblast differentiation but did not promote matrix maturation. DKK1 increased Ca+ influx and activation of the Ca+/calmodulin-dependent protein kinase II Alpha (CAMK2A)-cAMP response element-binding protein 1 (CREB1) and increased translocation of p-CREB1 into the nucleus. In contrast, stable DKK1 knockdown in human osteosarcoma cell line SaOS2 exhibited reduced nuclear translocation of p-CREB1 and matrix mineralization. Overall, we suggest that manipulating DKK1 regulates the matrix mineralization of osteoblasts by Ca+-CAMK2A-CREB1, and DKK1 is a crucial gene for bone mineralization of osteoblasts.

Hydroiminoacylation of $\alpha,\omega$-diene with Aldimine by Rh(Ⅰ) and Isomerization of the Terminal Olefin to the Internal Olefin

  • Jun, Chul-Ho;Kang, Jung-Bu;Lim, Yeong-Gweon
    • Bulletin of the Korean Chemical Society
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    • v.14 no.2
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    • pp.287-291
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    • 1993
  • Catalytic iminohydroacylation has been achieved by the reaction of aldimine 1 and 1,5-hexadiene (2a) with Wilkinson's complex as catalyst. Compounds 7a, 8a and 9a were obtained as final product after hydrolysis of the resulting iminohydroacylation products 4a, 5a and 6a. Depending on the reactant ratio (2/1), the ratio of products were changed dramatically : As the 2/1 ratio was increased, 7a is the major product after hydrolysis while 8a is the major with an 1/1 ratio of 2/1. The mechanism of the formation of 5a is determined by the reaction of 1 and 2b under the identical reaction conditions. Considering that 5a may not be formed from the hydroiminoacylation of 14a since 5b cannot be formed from that of conjugate diene 14b generated from isomerization of 2b, 5a must be formed from the reaction of 4a and 10 by addition-elimination mechanism.

AN ACTION OF A GALOIS GROUP ON A TENSOR PRODUCT

  • Hwang, Yoon-Sung
    • Communications of the Korean Mathematical Society
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    • v.20 no.4
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    • pp.645-648
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    • 2005
  • Let K be a Galois extension of a field F with G = Gal(K/F). Let L be an extension of F such that $K\;{\otimes}_F\;L\;=\; N_1\;{\oplus}N_2\;{\oplus}{\cdots}{\oplus}N_k$ with corresponding primitive idempotents $e_1,\;e_2,{\cdots},e_k$, where Ni's are fields. Then G acts on $\{e_1,\;e_2,{\cdots},e_k\}$ transitively and $Gal(N_1/K)\;{\cong}\;\{\sigma\;{\in}\;G\;/\;{\sigma}(e_1)\;=\;e_1\}$. And, let R be a commutative F-algebra, and let P be a prime ideal of R. Let T = $K\;{\otimes}_F\;R$, and suppose there are only finitely many prime ideals $Q_1,\;Q_2,{\cdots},Q_k$ of T with $Q_i\;{\cap}\;R\;=\;P$. Then G acts transitively on $\{Q_1,\;Q_2,{\cdots},Q_k\},\;and\;Gal(qf(T/Q_1)/qf(R/P))\;{\cong}\;\{\sigma{\in}\;G/\;{\sigma}-(Q_1)\;=\;Q_1\}$ where qf($T/Q_1$) is the quotient field of $T/Q_1$.

IRREDUCIBILITY OF THE MODULI SPACE FOR THE QUOTIENT SINGULARITY $\frac{1}{2k+1}(k+1,1,2k)$

  • Seung-Jo, Jung
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.6
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    • pp.1409-1422
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    • 2022
  • A 3-fold quotient terminal singularity is of the type $\frac{1}{r}(b,1,-1)$ with gcd(r, b) = 1. In [6], it is proved that the economic resolution of a 3-fold terminal quotient singularity is isomorphic to a distinguished component of a moduli space 𝓜𝜃 of 𝜃-stable G-constellations for a suitable 𝜃. This paper proves that each connected component of the moduli space 𝓜𝜃 has a torus fixed point and classifies all torus fixed points on 𝓜𝜃. By product, we show that for $\frac{1}{2k+1}(k+1,1,-1)$ case the moduli space 𝓜𝜃 is irreducible.