• Title/Summary/Keyword: Class R(${\alpha}$)

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ON THE TRANSCENDENTAL ENTIRE SOLUTIONS OF A CLASS OF DIFFERENTIAL EQUATIONS

  • Lu, Weiran;Li, Qiuying;Yang, Chungchun
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.5
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    • pp.1281-1289
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    • 2014
  • In this paper, we consider the differential equation $$F^{\prime}-Q_1=Re^{\alpha}(F-Q_2)$$, where $Q_1$ and $Q_2$ are polynomials with $Q_1Q_2{\neq}0$, R is a rational function and ${\alpha}$ is an entire function. We consider solutions of the form $F=f^n$, where f is an entire function and $n{\geq}2$ is an integer, and we prove that if f is a transcendental entire function, then $\frac{Q_1}{Q_2}$ is a polynomial and $f^{\prime}=\frac{Q_1}{nQ_2}f$. This theorem improves some known results and answers an open question raised in [16].

Polygenic Association of ACE and ACTN3 Polymorphisms with Korean Power Performance (ACE와 ACTN3의 다중유전형질과 근력운동 경기력간의 관계)

  • Kim, Chul-Hyun
    • Journal of Life Science
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    • v.22 no.3
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    • pp.398-406
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    • 2012
  • This study aimed to examine whether the polygenic profile of ACE ID and ACTN3 R577X polymorphisms is associated with muscle power performance in Korean athletes. For this study, 106 top-class power athletes (top-class group), 158 elite power athletes (elite-class group), and 676 healthy adults (control) aged 18-39 yrs were recruited and their genotypes were analyzed. The top-class group showed higher frequencies of the II genotype and I allele in ACE, as well as higher frequencies of the RR genotype and R allele in ACTN3 (top-class vs. control: 41.4% vs. 32.1% for II genotype, 67.1% vs. 57.7% for I allele, p<0.05; 42.3% vs. 29.0% for RR genotype, 65.3% vs. 54.8% for I allele, p<0.05). In the polygenic profile, the top-class group had significantly higher frequencies of combined-II/ID+RR/RX genotype than the control group (top-class vs. control: 82.9% vs. 66.7% for II/ID+RR/RX, p<0.05), and there was even a sharp increase in total genotype score (TGS) in this group compared to the elite-class and control groups ($66{\pm}0.9$ vs. $58{\pm}1.9$ vs. $56{\pm}2.3$, p<0.05). The combined-II/ID+RR/RX genotype showed the possibility of succussion in the top-class muscle power performance with an odds ratio of 2.3 (CI:1.4-4.1, p<0.05). These results suggested that ACE and ACTN3 need to interact with each other to affect muscle-power performance in an additive form. Furthermore, the polygenic profile of ACE and ACTN3 can predict muscle performance with high success in a homogeneous dominant combined genotype (II/ID+RR/RX). A further study could identify and combine other genes into ACE and ACTN3 for muscle strength.

Growth Patterns of the Manila Clam, Ruditapes philippinarum at Each Tidal Level in the Intertidal Zone in Tae-an, West Coast of South Korea (태안 안면도 조간대에 서식하는 바지락 (Ruditapes philippinarum) 의 조위별 성장양상)

  • Han, Hyoung-Sum;Ma, Chae-Woo;Kim, Ji-Yeon
    • The Korean Journal of Malacology
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    • v.28 no.1
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    • pp.29-35
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    • 2012
  • Growth patterns of the Manila clam, Ruditapes philippinarum in each tidal level were studied in the intertidal zone in Tae-an on the west coast of South Korea from April to August 2009. Environmental factors and the specimens of R. philippinarum were monthly collected at three intertidal locations: low intertidal zone, low-middle intertidal zone and middle intertidal zone. Temperature of sediment in low intertidal zone were lower than those in other intertidal locations. Concentrations of Chl-${\alpha}$ were not significantly different between in each tidal level. Exposure hours in low intertidal zone were shorter than those in other intertidal locations. Density of each year class in low intertidal zone were higher than those in low-middle intertidal zone and middle intertidal zone. Growth factors of R. philippinarum in low intertidal zone were better than those in other intertidal locations. The growth rate of under one year class individuals of low intertidal zone were higher than those in low-middle intertidal zone and middle intertidal zone, before the main recruitment period of R. pilippinarum. Although the growth patterns of R. philippinarum may be affected by various environmental factors, we suggests that the exposure duration is the main affect in the growth patterns of R. philippinarum in intertidal zone.

THE NAVIER-STOKES EQUATIONS WITH INITIAL VALUES IN BESOV SPACES OF TYPE B-1+3/qq,

  • Farwig, Reinhard;Giga, Yoshikazu;Hsu, Pen-Yuan
    • Journal of the Korean Mathematical Society
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    • v.54 no.5
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    • pp.1483-1504
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    • 2017
  • We consider weak solutions of the instationary Navier-Stokes system in a smooth bounded domain ${\Omega}{\subset}{\mathbb{R}}^3$ with initial value $u_0{\in}L^2_{\sigma}({\Omega})$. It is known that a weak solution is a local strong solution in the sense of Serrin if $u_0$ satisfies the optimal initial value condition $u_0{\in}B^{-1+3/q}_{q,s_q}$ with Serrin exponents $s_q$ > 2, q > 3 such that ${\frac{2}{s_q}}+{\frac{3}{q}}=1$. This result has recently been generalized by the authors to weighted Serrin conditions such that u is contained in the weighted Serrin class ${{\int}_0^T}({\tau}^{\alpha}{\parallel}u({\tau}){\parallel}_q)^s$ $d{\tau}$ < ${\infty}$ with ${\frac{2}{s}}+{\frac{3}{q}}=1-2{\alpha}$, 0 < ${\alpha}$ < ${\frac{1}{2}}$. This regularity is guaranteed if and only if $u_0$ is contained in the Besov space $B^{-1+3/q}_{q,s}$. In this article we consider the limit case of initial values in the Besov space $B^{-1+3/q}_{q,{\infty}}$ and in its subspace ${{\circ}\atop{B}}^{-1+3/q}_{q,{\infty}}$ based on the continuous interpolation functor. Special emphasis is put on questions of uniqueness within the class of weak solutions.

POSITIVE SOLUTION FOR A CLASS OF NONLOCAL ELLIPTIC SYSTEM WITH MULTIPLE PARAMETERS AND SINGULAR WEIGHTS

  • AFROUZI, G.A.;ZAHMATKESH, H.
    • Journal of applied mathematics & informatics
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    • v.35 no.1_2
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    • pp.121-130
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    • 2017
  • This study is concerned with the existence of positive solution for the following nonlinear elliptic system $$\{-M_1(\int_{\Omega}{\mid}x{\mid}^{-ap}{\mid}{\nabla}u{\mid}^pdx)div({\mid}x{\mid}^{-ap}{\mid}{\nabla}u{\mid}^{p-2}{\nabla}u)\\{\hfill{120}}={\mid}x{\mid}^{-(a+1)p+c_1}\({\alpha}_1A_1(x)f(v)+{\beta}_1B_1(x)h(u)\),\;x{\in}{\Omega},\\-M_2(\int_{\Omega}{\mid}x{\mid}^{-bq}{\mid}{\nabla}v{\mid}^qdx)div({\mid}x{\mid}^{-bq}{\mid}{\nabla}v{\mid}^{q-2}{\nabla}v)\\{\hfill{120}}={\mid}x{\mid}^{-(b+1)q+c_2}\({\alpha}_2A_2(x)g(u)+{\beta}_2B_2(x)k(v)\),\;x{\in}{\Omega},\\{u=v=0,\;x{\in}{\partial}{\Omega},$$ where ${\Omega}$ is a bounded smooth domain of ${\mathbb{R}}^N$ with $0{\in}{\Omega}$, 1 < p, q < N, $0{\leq}a$ < $\frac{N-p}{p}$, $0{\leq}b$ < $\frac{N-q}{q}$ and ${\alpha}_i,{\beta}_i,c_i$ are positive parameters. Here $M_i,A_i,B_i,f,g,h,k$ are continuous functions and we discuss the existence of positive solution when they satisfy certain additional conditions. Our approach is based on the sub and super solutions method.

Analysis of Bacterial Community Structure of Biological Activated Carbon Process in Drinking Water Treatment Plant Using FISH (FISH법을 이용한 정수처리장 내 생물활성탄 공정의 세균군집 구조 분석)

  • Son, Hyeng-Sik;Kim, Mi-A;Jeong, Seong-Yun;Kim, Young-Hun;Son, Hee-Jong;Park, Geun-Tae;Kim, Min-Ju;Ryu, Eun-Yeon;Lee, Sang-Joon
    • Journal of Environmental Science International
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    • v.17 no.5
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    • pp.555-564
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    • 2008
  • The bacterial community structure in biological activated carbon (BAC) process in drinking water treatment plant was investigated by Fluorescent in situ Hybridization (FISH) with rRNA-targeted oligonucleotide probe. Samples were collected at different three points in BAC process every month for one year. They were hybridized with a probe specific for the alpha, beta, gamma subclass of the class Proteobacteria, Cytophaga-Flavobacteria group and Gram-positive high G+C content (HGC) group. Total numbers of bacteria in BAC process counted by 4',6-diamidino-2-phenylindole (DAPI) staining were $5.4{\times}10^{10}$ (top), $4.0{\times}10^{10}$ (middle) and $2.8{\times}10^{10}$ cells/ml (bottom). The number of the culturable bacteria was from $1.0{\times}10^7$ to $3.6{\times}10^7$ cells/ml and the culturability was about 0.05%. The faction of bacteria detectable by FISH with the probe EUB338 was about 83% of DAPI counts. Gamma and alpha subclass of the class Proteobacteria were predominant in BAC process and their ratios were over 20% respectively. In top and middle, alpha, beta and gamma subclass of the class Proteobacteria competed with each other and their percentages was changed according to the season. In bottom, gamma subclass of the class Proteobacteria was predominant all through the year. It could be successfully observed the seasonal distribution of bacterial community in biological activated carbon process using FISH.

Comparison of Terminal-restriction Fragment Length Polymorphism (T-RFLP) Analysis and Sequencing of 16S rDNA Clones in marine sediments

  • Lee Jung-Hyun
    • Proceedings of the Microbiological Society of Korea Conference
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    • 2002.10a
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    • pp.15-21
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    • 2002
  • Terminal-restriction fragment length polymorphism (T-RFLP) analysis has been optimized by using in vitro model community composed of genomic DNAs of known bacterial strains and has been applied to assess the bacterial community structure in marine sediments. The specific fluorescence-labeled terminal restriction fragments (T-RFs) between 39 and 839 base long specifying each strain were precisely measured for known bacterial strains. The addition of a co-solvent (dimethylsulfoxide or glycerol) into PCR reactions has reduced differential PCR amplification. Comparative bacterial community structure was investigated for pristine and polluted sediments. A complex T-RFLP pattern showing complex bacterial community structure was obtained in the pristine sediment, whereas simple T-RFLP pattern (low bacterial diversity) was shown in polluted sediments where caged aquaculture has been conducted for several years. The results of T-RFLP analysis were compared with that of cloning and sequencing 16S rDNA clones from the same sediments. Sequence analysis of 16S rDNA clones (72) of the pristine sediment revealed a diverse collection of lineages, largely of the class Proteobacteria ($6\%$ alpha subdivision, $46\%$ gamma subdivision, $13\%$ delta subdivision, and $3\%$ epsilon subdivision), Nitrospina $(8\%)$, high G+C gram positive $(8\%)$, Verrucomicrobia $(7\%)$, and Planctomycetes $(6\%)$. In the contaminated sediments, 17 $(59\%)$ of the 16S rDNA clones (29) were related to Campylobacter and symbiont of Rimicaris exoculata belonging to epsilon subdivision of Proteobacteria. The results obtained indicated that T-RFLP analysis is a rapid and precise technique for comparative bacterial community analysis.

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Contribution of Arginine 13 to the Catalytic Activity of Human Class Pi Glutathione Transferase P1-1

  • Kong, Ji-Na;Jo, Dong-Hyeon;Do, Hyun-Dong;Lee, Jin-Ju;Kong, Kwang-Hoon
    • Bulletin of the Korean Chemical Society
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    • v.31 no.9
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    • pp.2497-2502
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    • 2010
  • Arg13 is a conserved active-site residue in all known Pi class glutathione S-transferases (GSTs) and in most Alpha class GSTs. To evaluate its contribution to substrate binding and catalysis of this residue, three mutants (R13A, R13K, and R13L) were expressed in Escherichia coli and purified by GSH affinity chromatography. The substitutions of Arg13 significantly affected GSH-conjugation activity, while scarcely affecting glutathione peroxidase or steroid isomerase activities. Mutation of Arg13 into Ala largely reduced the GSH-conjugation activity by approximately 85 - 95%, whereas substitutions by Lys and Leu barely affected activity. These results suggest that, in the GSH-conjugation activity of hGST P1-1, the contribution of Arg13 toward catalytic activity is highly dependent on substrate specificities and the size of the side chain at position 13. From the kinetic parameters, introduction of larger side chains at position 13 results in stronger affinity (Leu > Lys, Arg > Ala) towards GSH. The substitutions of Arg13 with alanine and leucine significantly affected $k_{cat}$, whereas substitution with Lys was similar to that of the wild type, indicating the significance of a positively charged residue at position 13. From the plots of log ($k_{cat}/{K_m}^{CDNB}$) against pH, the $pK_a$ values of the thiol group of GSH bound in R13A, R13K, and R13L were estimated to be 1.8, 1.4, and 1.8 pK units higher than the $pK_a$ value of the wild-type enzyme, demonstrating the contribution of the Arg13 guanidinium group to the electrostatic field in the active site. From these results, we suggest that contribution of Arg13 in substrate binding is highly dependent on the nature of the electrophilic substrates, while in the catalytic mechanism, it stabilizes the GSH thiolate through hydrogen bonding.

Relationship between depression and resilience in adolescents with congenital heart disease (선천성심질환 청소년의 우울과 극복력의 관계분석)

  • Moon, Ju Ryoung;Jung, Yoen Yi;Huh, June;Kang, I-Seok;Park, Seung Woo;Yang, Ji-Hyuk;Jun, Tae-Gook;Kim, Myung Ja;Lee, Heung Jae
    • Clinical and Experimental Pediatrics
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    • v.49 no.5
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    • pp.523-528
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    • 2006
  • Purpose : The purpose of this study was to investigate the relationship between depression and resilience in adolescents with congenital heart disease(CHD) and to identify the variables associated with depression. Methods : The Resilience Scale(cronbach's ${\alpha}=0.92$), Children's Depression Inventory(cronbach's ${\alpha}=0.72$) and Maternal Behavior Research Instrument(cronbach's ${\alpha}=0.88$) were applied and analyzed to assess depression and resilience among 231 adolescents after surgery for CHD from three major cardiac centers in Korea. This group consist of 114 males and 117 females. The mean age was 15.8 years(range : 13-18 years). The clinical severity of illness was rated by CHD functional index and NYHA functional class. Results : The mean score for depression and resilience was 16.74(range : 0-49) and 115.84(range : 70-132) respectively. Depression was significantly related to age(r=0.25, P<0.001) and NYHA functional class(r=0.35, P<0.001), as well as being negatively correlated with oxygen saturation(r=-0.39, P<0.001), academic achievement(r=-0.41, P<0.001), parental attitude(r=-0.49, P<0.001) and resilience (r=-0.59, P<0.001). The results of multiple regression analysis showed that parental attitude(${\beta}=-0.48$, P<0.01) and resilience(${\beta}=-0.62$, P<0.01) were related to depression. Conclusion : This study demonstrated that adolescents with CHD had a higher resilience and were less depressed with an affectionate parent. With respect to medical and nursing intervention programs, it is essential to identify strengths of adolescents with CHD in order to increase their resilience. Additionally, it is also important that parenting and counseling programs be implemented for the parents of adolescents with CHD.

Phylogenetic Diversity and Community Structure of Microbiome Isolated from Sargassum Horneri off the Jeju Island Coast (제주 연안의 괭생이모자반(Sargassum horneri)에서 분리된 세균의 계통학적 다양성 및 군집 구조 분석)

  • Moon, Kyung-Mi;Park, So-Hyun;Heo, Moon-Soo
    • Journal of Life Science
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    • v.28 no.10
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    • pp.1179-1185
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    • 2018
  • Recently, Sargassum horneri, the marine weed inhabiting the shoreline, beach, and littoral sea area, has caused serious damage to intensive aquaculture farms particularly those around Jeju Island, South Korea. The purpose of this study was to investigate the diversity of microorganisms in Sargassum horneri and to provide basic data on ecological problems by identifying microbial functions. A total of 88 isolates were identified by 16S rRNA sequencing. Proteobacteria was the dominant phylum accounting for 88%, including class ${\alpha}-proteobacteria$, six genera, and ten species. The dominating genus, Pseudobacter, accounted for 40% in Pseudorhodobacter, 20% in Paracoccus, and the remaining at 10% each were Rhizobium, Albirhodobacter, Skermanella, and Novosphingobium. Class ${\beta}-proteobactera$ included five genera and ten species. Genus Hydrogenophaga accounted for 50%, while genus Azoarcus accounted for 20%, and the remaining Oxalicibacterium, Duganella, and Xenophilus were 10% each. Class ${\gamma}-proteobacteria$ with 13 genera and 57 species, accounted for 74% in phylum Proteobacteria, 23% in Shewanella, 19% in Cobetia, 12% in Pseudomonas, 4% each in Vibrio and Serratia, and 2% each in Rheinheimera, Raoultella, Pantoea, Acinetobacter, Moraxella, and Psychrobacter genera. In addition, Actinobacteria with two species of Nocardioides genera accounted for 50%, and Bacteroidetes accounted for 33%, with three genera and five species that included Lacihabitans and Mariniflexile. The remaining Dyadobacter, Cellulophaga, and Ferruginibacter genera each accounted for 11%.