• 제목/요약/키워드: Class R(${\alpha}$)

검색결과 61건 처리시간 0.024초

ON THE TRANSCENDENTAL ENTIRE SOLUTIONS OF A CLASS OF DIFFERENTIAL EQUATIONS

  • Lu, Weiran;Li, Qiuying;Yang, Chungchun
    • 대한수학회보
    • /
    • 제51권5호
    • /
    • pp.1281-1289
    • /
    • 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].

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

  • 김철현
    • 생명과학회지
    • /
    • 제22권3호
    • /
    • pp.398-406
    • /
    • 2012
  • 이 연구는 한국인에서 적용할 수 있는 근력관련 유전적 소인을 ACE 유전자와 ACTN3 유전자를 단일유전자 수준과 다중유전자 수준에서 관계성을 규명하는데 목적이 있다. 연구의 목적을 위해 근력운동종목의 엘리트선수 158명, 국가대표선수 106명, 대조군 676명을 동원하여 ACE ID 다형성과 ACTN3 R577X 다형성 분포를 분석했다. 연구결과, ACE 다형성에서 II 유전형 및 I 대립형질은 유의하게 높은 분포를 가졌고, 반면 DD 유전형 및 I 대립형 질은 유의하게 낮은 분포를 가졌다(Top-Class vs. Control: 41.4% vs. 32.1 for II genotype, 67.1% vs. 57.7% for I allele, p<0.05). ACTN3 다형성에서 RR 유전형 및 R 대립형질은 유의하게 높았고 XX 유전형 및 R 대립형질은 유의하게 낮았다(Top-Class vs. Control: 42.3% vs. 29.0 for RR genotype, 65.3% vs. 54.8% for R allele, p<0.05). 다중유전자 수준에서 근력은 ACE 다형성과 ACTN3 다형성이 조합된 우성조합유전형(II/ID+RR/RX)이 최우수 경기력에서 유의하게 높은 분포를 가졌다(Top-Class vs. Control: 82.9% vs. 66.7% for II/ID+RR/RX, p<0.05). 또한 최우수 경기력을 가진 국가대표는 엘리트와 대조군 보다 유의하게 높은 TGS를 가졌다($66{\pm}0.9$ vs. $58{\pm}1.9$ vs. $56{\pm}2.3$, p<0.05). 이를 근거로 우성조합유전형이 최우수 근력 경기력을 가질 가능성에 대한 승산비는 2.43배(CI:1.45-4.09, p<0.001)였다. 따라서 ACE 다형성과 ACTN3 다형성은 한국인에서 근력과 관계된 유전형으로 확인되었으며, 두 유전자는 상호 조합된 다중유전형에서 근력 경기력에 영향을 줄 것으로 사료된다. 또한 ACE 다형성과 ACTN3 다형성을 조합한 다중유전자는 근력 경기력을 예측할 수 있은 유전적 요인으로 사료되었다.

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

  • 한형섬;마채우;김지연
    • 한국패류학회지
    • /
    • 제28권1호
    • /
    • pp.29-35
    • /
    • 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
    • 대한수학회지
    • /
    • 제54권5호
    • /
    • pp.1483-1504
    • /
    • 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
    • /
    • 제35권1_2호
    • /
    • pp.121-130
    • /
    • 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.

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

  • 손형식;김미아;정성윤;김영훈;손희종;박근태;김민주;유은연;이상준
    • 한국환경과학회지
    • /
    • 제17권5호
    • /
    • pp.555-564
    • /
    • 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
    • 한국미생물학회:학술대회논문집
    • /
    • 한국미생물학회 2002년도 추계학술대회
    • /
    • pp.15-21
    • /
    • 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.

  • PDF

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
    • /
    • 제31권9호
    • /
    • pp.2497-2502
    • /
    • 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.

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

  • 문주령;정연이;허준;강이석;박승우;양지혁;전태국;김명자;이흥재
    • Clinical and Experimental Pediatrics
    • /
    • 제49권5호
    • /
    • pp.523-528
    • /
    • 2006
  • 목 적 : 선천성심질환 청소년의 우울정도와 극복력의 상관관계를 파악하고 우울과 관련된 변수를 확인하고자 하였다. 방 법 : 선천성심질환으로 수술을 받고 2개 대학병원 및 심장전문병원에 등록되어 추적관찰 중인 만 13-18세 청소년 231명을 대상으로 하였다. 연구 도구는 만성질환아를 대상으로 개발한 극복력 도구와 Beck의 우울척도를 8-18세에 맞게 변형시킨 Kovasc의 CDI를 사용하였다. 결 과 : 선천성심질환 청소년의 우울정도는 0-54점 가능 점수에서 평균 16.74점이었고, 극복력은 70-160점 가능 점수에서 115.84점이었다. 극복력에 따른 우울정도는 극복력과 우울은 유의한 역상관관계(r=-0.59, P<0.01)를 나타났다. 또한, 극복력의 하부 개념인 개인내적요인(r=-0.69, P<0.01), 대처양상(r=-0.39, P<0.05), 대인관계(r=-0.59, P<0.01)도 우울정도와 통계적으로 유의한 역상관관계를 보였다. 다중회귀분석 결과 선천성심질환 청소년의 우울과 관련된 유의한 변수는 부모의 양육태도(${\beta}=-0.48$, P<0.01) 및 극복력(${\beta}=-0.62$, P<0.01)으로 나타났다. 결 론 : 선천성심질환 청소년에서 청소년 자신의 극복력이 높을수록 부모가 긍정적인 양육태도를 가질수록 우울정도가 낮음을 알 수 있었다. 따라서 환자 자신의 극복력을 파악하고 증진할 수 시킬 수 있는 심층 연구와 선천성심질환 청소년과 같이 만성질환을 가진 자녀의 부모에게 양육태도의 중요성을 가질 수 있도록 돕는 중재개발이 필요하다.

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

  • 문경미;박소현;허문수
    • 생명과학회지
    • /
    • 제28권10호
    • /
    • pp.1179-1185
    • /
    • 2018
  • 최근 괭생이모자반(Sargassum horneri)은 제주의 해안가와 해변, 연근해 양식장 등 매년 대량으로 속출되어 인근 양식업자 및 주민에게 막대한 피해를 주고 있는 추세이다. 본 연구에서는 제주 인근 연안으로 흘러 들어온 괭생이 모자반에 서식하고 있는 미생물의 다양성을 탐색하고 동정을 통한 미생물의 기능을 파악함으로써 생태학적 문제에 관한 기초자료를 제공하고자 하였다. Proteobacteria는 분리 된 균주 중 88%를 차지한 우점문으로 ${\alpha}-proteobacteria$강은 6속 10종으로 Pseudorhodobacter속이 40%를 차지하고 Paracoccus속 20%, Rhizobium, Albirhodobacter, Skermanella 및 Novosphingobium 속은 각각 10%를 차지했다. ${\beta}-proteobactera$강은 5속 10종으로 Hydrogenophaga속이 50%, Azoarcus 20%, 나머지 Oxalicibacterium, Duganella, Xenophilus속은 각각 10%를 차지했다. ${\gamma}-proteobacteria$강은 13속 57종으로 Proteobacteria문에서 74%로 우점강을 차지했고, Shewanella는 23%, Pseudomonas속 12%, Cobetia 19%, Rahnella, Vibrio 및 Serratia속은 4%, 나머지 Rheinheimera, Raoultella, Pantoea, Acinetobacter, Moraxella 및 Psychrobacter속은 2%를 차지했다. Actinobacteria는 1속 2종으로 Gordonia와 Nocardioides속이 각각 50%를 나타냈다. Bacteroidetes문은 3속 5종으로 Lacihabitans, Mariniflexile속은 33%, 나머지 Dyadobacter, Cellulophaga와 Ferruginibacter속은 11%를 차지했다.