• 제목/요약/키워드: (p, q)-derivative

검색결과 40건 처리시간 0.019초

The intermediate solution of quasilinear elliptic boundary value problems

  • Ko, Bong-Soo
    • 대한수학회지
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    • 제31권3호
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    • pp.401-416
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    • 1994
  • We study the existence of an intermediate solution of nonlinear elliptic boundary value problems (BVP) of the form $$ (BVP) {\Delta u = f(x,u,\Delta u), in \Omega {Bu(x) = \phi(x), on \partial\Omega, $$ where $\Omega$ is a smooth bounded domain in $R^n, n \geq 1, and \partial\Omega \in C^{2,\alpha}, (0 < \alpha < 1), \Delta$ is the Laplacian operator, $\nabla u = (D_1u, D_2u, \cdots, D_nu)$ denotes the gradient of u and $$ Bu(x) = p(x)u(x) + q(x)\frac{d\nu}{du} (x), $$ where $\frac{d\nu}{du} denotes the outward normal derivative of u on $\partial\Omega$.

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The Efficacy of Enhanced Growth by Ectopic Expression of Ghrelin and Its Variants Using Injectable Myogenic Vectors

  • Xie, Q.F.;Wu, C.X.;Meng, Q.Y.;Li, N.
    • Asian-Australasian Journal of Animal Sciences
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    • 제17권1호
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    • pp.146-152
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    • 2004
  • Ghrelin is an acylated peptide recently identified as the endogenous ligand for the growth hormone (GH) secretagogues receptor 1a (GHS-R1a) and is involved in a novel system for regulating GH release. To understand the long-term effects of ghrelin, here we constructed six myogenic expression vectors containing the cDNA of swine mature ghrelin (pGEM-wt-sGhln, pGEM-wt-hGhln), ghrelin mutant of $Ser^3$ with $Trp^3$ (pGEM-mt-sGhln, pGEM-mt-hGhln) and truncated ghrelin derivative (pGEM-tmtsGhln, pGEM-tmt-hGhln) encompassing the first 7 residues of ghrelin (including $Ser^3$ substituted with $Trp^3$) and adding a basic amino acid, Lys (K) in the C-terminus. The constructs, pGEM-wt-sGhln, pGEM-mt-sGhln and pGEM-tmt-sGhln were linked with the ghrelin leader sequence, while the pGEM-wt-hGhln, pGEM-mt-hGhln and pGEM-tmt-hGhln were linked with a leader sequence from the human growth hormone releasing hormone (hGHRH). Intramuscular injection of 200 ${\mu}g$ pGEM-wt-sGhln or pGEM-tmt-sGhln augmented growth over 3 weeks in normal rats and peaked at day 21 or 14 post-injection respectively, whose body weight gains were on average approximately 6% or 19% heavier over controls. However, other injectable vectors had no such enhanced growth effects. Our results suggested that the efficacy of the ghrelin leader sequence was more effective than that of hGHRH in our system. Moreover, the results indicated that skeletal muscle might have the ability to posttranslationally modify the in vivo expressed ghrelin. And the most strikingly, the short ghrelin analog seems to mimic the biological effects more efficiently when compared with the full-length ghrelin.

Antiviral Activity Enhancement through the SATE Prodrug of a 2'-Modified 5'-Norcarbocyclic Adenine Analogue

  • Li, Hua;Kim, Si-Wouk;Hong, Joon-Hee
    • Bulletin of the Korean Chemical Society
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    • 제31권8호
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    • pp.2180-2184
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    • 2010
  • We synthesized and tested the anti-HIV activity of the SATE prodrug of a 2'-methyl 5'-norcarbocyclic adenine analogue. The introduction of a methyl group in the 2'-position was performed by the addition of a carbonyl using isopropenyl magnesium bromide. The adenine base was efficiently coupled using the Mitsunobu reaction. The chemical stability study of the bis(SATE) derivative 18 was measured at neutral (pH 7.2) and slightly acid (milli-Q water, pH 5.5) pH, and compounds 16 and 18 were evaluated as potential anti-HIV-1 agents.

Synthesis of SATE Prodrug of 6'-Fluoro-6'-methyl-5'-noradenosine Nucleoside Phosphonic Acid as a New Class of Anti-HIV Agent

  • Li, Hua;Yoo, Jin-Cheol;Baik, Young-Chan;Lee, Won-Jae;Hong, Joon-Hee
    • Bulletin of the Korean Chemical Society
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    • 제31권9호
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    • pp.2514-2518
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    • 2010
  • A very simple synthetic route of a novel SATE prodrug type of 6'-fluoro-6'-methyl-5'-noradeonosine carbocyclic nucleoside phosphonic acid is described. The key fluorinated alcohol intermediate 7 was prepared from the epoxide intermediate 6a via selective ring-opening of epoxide. Coupling of 7 with $N^6$-bis-Boc-adenine under a Mitsunobu reaction followed by phosphonation and deprotection afforded the carbocyclic phosphonic acid. The chemical stability of the bis(SATE) derivative 13 was measured at neutral (pH 7.2) and slightly acidic (Milli-Q water, pH 5.5) pH. The antiviral activity test of the SATE prodrug 13 and its parent nucleoside phosphonic acid 11 were evaluated against HIV-1.

오이 잎에서 저온 광저해에 의한 형광유도과정의 초기 변이와 스트레스 지표 (Early Alterations of Chlorophyll Fluorescence by Light-Chilling in Cucumber (Cucumis sativus) Leaves and Their Usage as Stress Indicators)

  • Ha, Suk-Bong;Young-Jae Eu;Choon-Hwan Lee
    • The Korean Journal of Ecology
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    • 제19권2호
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    • pp.151-163
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    • 1996
  • To investigate the early symptoms of light-chilling, alterations of chlorophyll fluorescence transients were monitored in cucumber (Cucumis sativus L. cv. Ilmichungjang) leaves. During 24 h chilling, decreases in (Fv)m/Fm, qE and qQ, and an increase in Fo were observed. The chilling effects were not recovered at room temperature, and a significant increase in Fo was observed during the recovery period. After 6 h chilling, ‘dip’(D) level of the transients became obscure, and the negative slope after ‘peak’(P) disappeared. The first derivative (dFv/dt) of the fast fluorescence rise curve was used to obtain more accurate information about the changes in the transients. The maximal rate of the fluorescence increase in the D-p rise curve (Fr) has been the most frequently used chilling stress indicator. However, a correct value of Fr could not be measured when the D level became obscure. This problem was overcome by introducing a new indicator, HFr (dFv/dt at Fv = 1/2 (Fv)m), and HFr gave very similar values to Fr. To monitor the changes in curvature around D level, another new parameter, ${\Delta}S$(D-Fr), was also introduced. These three parameters decreased very sensitively during light-chilling. In addition, increases in these parameters were observed during the first 2 h chilling, but this increase in Fr was also observed in pea leaf discs dark-chilled for 15 min, suggesting that this very early change is a common response to chilling in both pea and cucumber leaves. Quenching coefficients were also very sensitive to chilling, especially qE. Discussion on the usage of these parameters as chilling stress indicators is given in the text.

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Crack-contact problem for an elastic layer with rigid stamps

  • Birinci, Ahmet
    • Structural Engineering and Mechanics
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    • 제37권3호
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    • pp.285-296
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    • 2011
  • The plane crack-contact problem for an infinite elastic layer with two symmetric rectangular rigid stamps on its upper and lower surfaces is considered. The elastic layer having an internal crack parallel to its surfaces is subjected to two concentrated loads p on its upper and lower surfaces trough the rigid rectangular stamps and a pair of uniform compressive stress $p_0$ along the crack surface. It is assumed that the contact between the elastic layer and the rigid stamps is frictionless and the effect of the gravity force is neglected. The problem is reduced to a system of singular integral equations in which the derivative of the crack surface displacement and the contact pressures are unknown functions. The system of singular integral equations is solved numerically by making use of an appropriate Gauss-Chebyshev integration formula. Numerical results for stress-intensity factor, critical load factor, $\mathcal{Q}_c$, causing initial closure of the crack tip, the crack surface displacements and the contact stress distribution are presented and shown graphically for various dimensionless quantities.

MULTIPLICITY OF POSITIVE SOLUTIONS FOR MULTIPOINT BOUNDARY VALUE PROBLEMS WITH ONE-DIMENSIONAL P-LAPLACIAN

  • Zhang, Youfeng;Zhang, Zhiyu;Zhang, Fengqin
    • Journal of applied mathematics & informatics
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    • 제27권5_6호
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    • pp.1211-1220
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    • 2009
  • In this paper, we consider the multipoint boundary value problem for the one-dimensional p-Laplacian $({\phi}_p(u'))'$(t)+q(t)f(t,u(t),u'(t))=0, t $\in$ (0, 1), subject to the boundary conditions: $u(0)=\sum\limits_{i=1}^{n-2}{\alpha}_iu({\xi}_i),\;u(1)=\sum\limits_{i=1}^{n-2}{\beta}_iu({\xi}_i)$ where $\phi_p$(s) = $|s|^{n-2}s$, p > 1, $\xi_i$ $\in$ (0, 1) with 0 < $\xi_1$ < $\xi_2$ < $\cdots$ < $\xi{n-2}$ < 1 and ${\alpha}_i,\beta_i{\in}[0,1)$, 0< $\sum{\array}{{n=2}\\{i=1}}{\alpha}_i,\sum{\array}{{n=2}\\{i=1}}{\beta}_i$<1. Using a fixed point theorem due to Bai and Ge, we study the existence of at least three positive solutions to the above boundary value problem. The important point is that the nonlinear term f explicitly involves a first-order derivative.

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무정자증 불임남성에서 관찰된 SRY 유전자의 중복을 동반한 일동원체성 derivative Y 염색체 (Monocentric Derivative Y Chromosome with Duplication of the SRY Gene in an Azoospermic Male)

  • 최은영;이봄이;박주연;이연우;오아름;이신영;김신영;한유정;이미범;류현미;서주태;박소연
    • Journal of Genetic Medicine
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    • 제7권2호
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    • pp.160-164
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    • 2010
  • Y 염색체의 구조적 이상은 남성의 정상적인 고환의 분화와 정자생성과정에 영향을 미친다. 본 증례의 무정자증 남성의 혈액세포에서 관찰된 비정상 Y 염색체는 SRY를 포함한 부분적 단완 중복과 Yq12 이질염색질 결실로 재배열된 일동원체성 derivative Y 염색체이다. 이러한 형태의 Y 염색체에 대해서는 매우 드물게 보고되어 있다. 이는 분자세포유전학 및 분자유전학 검사를 통하여 46,X,der(Y)(pter${\rightarrow}$q11.23::p11.2${\rightarrow}$ pter).ish der(Y)(DYZ3+,DYZ1-,SRY++) 의 결과를 얻었다. 증례의 남성은 비정상 Y 염색체를 가졌음에도 불구하고 정상적인 고환의 크기와 혈액내 성호르몬의 수치는 정상이었다. 하지만 양측성 정계정맥류와 고환생검결과 정자형성기능저하증의 소견을 보였다. 이러한 비정상 Y 염색체는 부계의 감수분열 또는 배발생 초기 단계에서 Y 염색체 자매염색분체의 재배열 또는 Y 염색체내 비대립동종재조합(Non-allelic homologous recombination) 현상 때문에 일어난 것으로 생각되며 환자의 생식세포 분열과정 중 X-Y 성염색체 PAR1 (pseudoautosomal region 1) 부위가 접합하는 2가염색체 (X-Y bivalent) 형성장애기전으로 정자생성 또는 정자성숙 단계에 문제가 생긴 것으로 생각된다. 또한 남성특이영역(male specific region of the Y chromosome, MSY)에서 불임과 관련된 유전자들의 결실과 변이 등의 원인도 배제할 수 없을 것이다. 본 증례는 무정자증 불임남성의 생식과 관련된 표현형이 다양한 원인으로 결정될 수 있음을 시사하며 아울러 불임남성에 대한 보다 정확하고 자세한 분자 세포 유전학적 분석들이 불임 남성의 치료에도 도움이 될 것이라 생각한다.

새로운 2-(4-(6-chloro-2-benzoxazolyloxy)phenoxy)-N-phenyl-propionamide 유도체들의 제초활성에 관한 HQSAR 모델과 높은 활성 화합물의 예측 (Molecular Holographic QSAR Model on the Herbicidal Activities of New Novel 2-(4-(6-chloro-2-benzoxazolyloxy)phenoxy)-N-phenylpropionamide Derivatives and Prediction of Higher Activity Compounds)

  • 성낙도;김대황;정훈성
    • 농약과학회지
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    • 제9권4호
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    • pp.279-286
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    • 2005
  • 일련의 새로운 기질 분자로서 2-(4-(6-chloro-2-benzoxazolyloxy)phenoxy)-N-phenylpropionamide 유도체들의 구조 변화와 그에 따른 발아 전, 논피 (Echinochloa crus-galli)에 대한 제초활성과의 분자 홀로그래피적(H) QSAR 관계를 연구하였다. 그 결과로부터 높은 제초활성 화합물들이 유도된 HQSAR 모델에 의하여 예측되었다. 가장 양호한 HQSAR 모델은 분자조각 크기($7{\sim}10bin$) 조건에서 유도된 모델(VI-1)이었다. 제초활성에 관한 HQSAR 모델(VI-1)은 높은 예측성($r^2_{cv.}$ 또는 $q^2=0.646$)과 상관성($r^2_{ncv.}=0.917$)에 근거하여 양호한 통계값들을 나타내었다. 그리고 HQSAR 기여도로부터 가장 낮은 제초활성은 4-(6-chloro-2-benzoxazolyloxy)phenoxy 고리($pred.pI_{50}=-3.20$)에 의존적이었다. 특히, (X)-phenoxy-N-(R)-phenylpropionamide 유도체의 R=4-fluoro, X=isobutoxy 치환체인 4-isobutoxyphenoxy-N-(4-fluorophenyl)propionamide (P2)는 가장 높은 제초활성($pred.pI_{50}=9.12$)을 나타내는 화합물로 예측되었다.

ON THE ANALOGS OF BERNOULLI AND EULER NUMBERS, RELATED IDENTITIES AND ZETA AND L-FUNCTIONS

  • Kim, Tae-Kyun;Rim, Seog-Hoon;Simsek, Yilmaz;Kim, Dae-Yeoul
    • 대한수학회지
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    • 제45권2호
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    • pp.435-453
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    • 2008
  • In this paper, by using q-deformed bosonic p-adic integral, we give $\lambda$-Bernoulli numbers and polynomials, we prove Witt's type formula of $\lambda$-Bernoulli polynomials and Gauss multiplicative formula for $\lambda$-Bernoulli polynomials. By using derivative operator to the generating functions of $\lambda$-Bernoulli polynomials and generalized $\lambda$-Bernoulli numbers, we give Hurwitz type $\lambda$-zeta functions and Dirichlet's type $\lambda$-L-functions; which are interpolated $\lambda$-Bernoulli polynomials and generalized $\lambda$-Bernoulli numbers, respectively. We give generating function of $\lambda$-Bernoulli numbers with order r. By using Mellin transforms to their function, we prove relations between multiply zeta function and $\lambda$-Bernoulli polynomials and ordinary Bernoulli numbers of order r and $\lambda$-Bernoulli numbers, respectively. We also study on $\lambda$-Bernoulli numbers and polynomials in the space of locally constant. Moreover, we define $\lambda$-partial zeta function and interpolation function.