• 한국식품과학회지
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• 제36권6호
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• pp.1026-1031
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• 2004

들깨 메탄올 추출물이 acetylcholinesterase(AChE)의 활성 및 PC 12 cell 세포사멸에 미치는 영향을 검토하였다. AChE에 대한 억제환성은 들깨 메탄을 추출물의 농도가 높을수록 유의적으로 높았으며 추출물의 분획물 중에서는 n-butanol층이 가장 높은 억제율을 나타내었다. L-glutamate 또는 ${\beta}-amyloid$ protein $(A{\beta})$으로 유도된 PC 12 cell에 대한 세포사멸 억제효과도 추출물의 농도가 높을수록 유의적으로 증가하였다. 또한 rat brain에 $FeSO_{4^-}H_2O_2$로 산화적 스트레스를 유발시켜 추출물의 TBARS 생성 억제활성을 조사한 결과 들깨 메탄을 추출물은 농도가 높아질수록 산화적 스트레스에 대한 억제활성이 증가하였으며 분획물 중에서는 n-butanol층에서 가장 높은 억제활성을 나타내었다. 이상의 결과들로 미루어 볼 때 들깨 메탄을 추출물은 AChE 활성을 억제하고 glutamate 또는 $A{\beta}$에 의하여 유도된 PC12 cell의 세포사멸을 억제하며 이러한 효과는 들깨 메탄을 추출물의 항산화력에 기인할 수도 있을 것으로 사료되었다.

• 대한수학회보
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• 제34권4호
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• pp.627-636
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• 1997

Let $H(U)$ be the space of all analytic functions in the unit disk $U$ and let $K \subset H(U)$. For the operator $A_{\beta,\gamma} : K \longrightarrow H(U)$ defined by $$ A_{\beta,\gamma}(f)(z) = [\frac{z^\gamma}{\beta + \gamma} \int_{0}^{z} f^\beta (t)t^{\gamma-1} dt]^{1/\beta} $$ and $\beta,\gamma \in C$, we determined conditions on g(z), $\beta and \gamma$ such that $$ z[\frac{z}{f(z)]^\beta \prec z[\frac{z}{g(z)]^\beta implies z[\frac{z}{A_{\beta,\gamma}(f)(z)]^\beta \prec z[\frac{z}{A_{\beta,\gamma}(g)(z)]^\beta $$ and we presented some particular cases of our main result.

• Fisheries and Aquatic Sciences
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• 제19권4호
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• pp.18.1-18.10
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• 2016

In this study, to clarify the function of $PoPLC-{\beta}1$, in response to stress challenge, we examined the $PoPLC-{\beta}1$ expression pattern in response to external stress (pathogen-associated molecular pathogen challenge and environmental challenge including temperature and salinity). $PoPLC-{\beta}1$ expression analysis of tissue from olive flounder showed that the messenger RNA (mRNA) was predominantly expressed in the brain, heart, eye, liver, spleen, and stomach. We also tested the mRNA expression of the $PoPLC-{\beta}1$ in the spleen and kidney of olive flounder by RT-PCR and real-time PCR following stimulation with lipopolysaccharide (LPS), concanavalin A (ConA), or polyinosinic:polycytidylic acid (PolyI:C) and compared with the inflammatory cytokines IL-1b and IL-6 in the stimulated flounder tissues. Each of the spleen and kidney and mRNA transcripts of $PoPLC-{\beta}1$ were increased 30- and 10-fold than normal tissue at 1-6 h post injection (HPI) with PolyI:C when the expression of $PoPLC-{\beta}1$ transcript was similar to LPS and ConA. We also tested the expression of $PoPLC-{\beta}1$ in response to temperature and salinity stress. The expression of $PoPLC-{\beta}1$ also was affected by temperature and salinity stress. Our results provide clear evidence that the olive flounder $PLC-{\beta}1$ signal pathways may play a critical role in immune function at the cellular level and in inflammation reactions. In addition, $PLC-{\beta}1$ appears to act as an oxidative-stress suppressor to prevent cell damage in fish.

• 대한수학회지
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• 제49권4호
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• pp.867-879
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• 2012

For ${\beta}$ > 1, let $T_{\beta}$ : [0, 1] ${\rightarrow}$ [0, 1) be the ${\beta}$-transformation. We consider an invariant $T_{\beta}$-orbit closure contained in a closed interval with diameter 1/${\beta}$, then define a function ${\Xi}({\alpha},{\beta})$ by the supremum such $T_{\beta}$-orbit with frequency ${\alpha}$ in base ${\beta}$, i.e., the maximum value in $T_{\beta}$-orbit closure. This paper effectively determines the maximal domain of ${\Xi}$, and explicitly specifies all possible minimal intervals containing $T_{\beta}$-orbits.

• Journal of the Korean Statistical Society
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• 제17권1호
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• pp.30-45
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• 1988

Let ${X(t) : 0 \leq t < \infty}$ be a real-valued process with stationary independent increments. In this paper, we obtain necesary and sufficint condition for there to exist a positive, nondecreasing function $\beta(t)$ so that $0 < lim sup $\mid$X(t)$\mid$/\beta(t) < \infty$ a.s. both as t tends to zero and infinity. When no such $\beta(t)$ exists we give a simple integral test for whether $lim sup $\mid$X(t)$\mid$/\beta(t)$ is zero or infinity for a given $\beta(t)$.

• Journal of applied mathematics & informatics
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• 제19권1_2호
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• pp.179-190
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• 2005

We deal with the Cauchy problem for the space-time fractional diffusion equation, which is obtained from standard diffusion equation by replacing the second-order space derivative with a Caputo (or Riemann-Liouville) derivative of order ${\beta}{\in}$ (0, 2] and the first-order time derivative with Caputo derivative of order ${\beta}{\in}$ (0, 1]. The fundamental solution (Green function) for the Cauchy problem is investigated with respect to its scaling and similarity properties, starting from its Fourier-Laplace representation. We derive explicit expression of the Green function. The Green function also can be interpreted as a spatial probability density function evolving in time. We further explain the similarity property by discussing the scale-invariance of the space-time fractional diffusion equation.

• 대한수학회논문집
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• 제10권4호
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• pp.881-887
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• 1995

Let f be a measurable function on the unit ball B in $C^n$, then we define a maximal function $M_p(f), 1 \leq p < \infty$, by $$ M_p(f)(\zeta ) = \sup_{\delta > 0}(\frac{1}{\sigma(\beta(\zeta, \delta))} \int_{T(\beta(\zeta, \delta))} $\mid$f(z)$\mid$^p \frac{d\nu(z)}{(1-$\mid$z$\mid$^n})^{1/p} $$ where $\sigma$ denotes the surface area measure on S, the boundary of B, and $T(\beta(\zeta, \delta))$ denotes the tent over the ball $\beta(\zeta, \delta)$. We prove that the maximal operator $M_p$ belongs to the Muckenhoupt class $A_1$.

• 한국보건간호학회지
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• 제26권1호
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• pp.158-173
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• 2012

Purpose: This study was conducted in order to investigate factors related to depression of elderly women in a Metropolitan city. Methods: Subjects included 118 elderly women older than 65 years of age. Structured questionnaires were used for data collection, and descriptive statistics, t-test, ANOVA, Pearson correlation coefficients, and hierarchical regression analysis were performed for data analysis. Results: A significant difference in depression was observed according to number of chronic diseases(F=4.963, p=.001). Significant factors influencing depression included number of chronic diseases (${\beta}$=.265, p<.01), cognitive function (${\beta}$=.290, p<.01), quality of sleep(${\beta}$=.212, p<.01), and nutritional state (${\beta}$=.161, p<.05). These factors explained 54.2% of the variance. Conclusion: Findings of this study suggest the need for development of nursing strategies to decrease the incidence of depression in elderly women.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제28권4호
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• pp.355-376
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• 2021

In this paper we wish to establish the integral representations of generalized relative order (𝛼, 𝛽) and generalized relative type (𝛼, 𝛽) of entire and meromorphic functions where 𝛼 and 𝛽 are continuous non-negative functions defined on (-∞, +∞). We also investigate their equivalence relation under some certain condition.

• 한국융합학회논문지
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• 제11권10호
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• pp.155-162
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• 2020

이 연구는 비만 중년 남성을 대상으로 복부비만 유무에 따른 체질량지수와 인슐린저항성 및 베타세포 기능간의 관련성을 알아보고자 하였다. 2018년 1월부터 2020년 6월까지 경기도 소재 종합병원에서 건강검진을 받은 비만 중년 남성 797명을 대상으로 하였다. 복부비만 동반군은 327명, 복부비만을 동반하지 않은군은 470명이며, 두 군간에 공복혈당(p<0.001), HbA1c(p=0.003), 인슐린(p<0.001), HOMA-IR(p<0.001)은 차이가 있었다. 체질량지수는 복부비만 동반 유무와 관계없이 인슐린저항성 및 베타세포 기능에 영향을 미치는 요인이었다. 또한 체질량지수는 복부비만 동반 유무와 관계없이 인슐린저항성 및 베타세포 기능저하의 질환 발병과 관련이 있었다. 따라서 중년 비만 남성의 건강관리를 위한 운동 프로그램 수행 및 정기적인 검진을 통해 체질량지수의 지표 관리가 필요할 것으로 사료된다.