• Korean Journal of Food Science and Technology
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• v.36 no.6
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• pp.1026-1031
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• 2004

Acetylcholinesterase inhibitory activity and protective effect against cytotoxicity of PC 12 cell induced by beta-amyloid protein and glutamate were examined in perilla seed methanol extract and its solvent fractions. Methanol extract of perilla seed showed dose-dependent acetylcholinesterase inhibitory activity, with n-butanol fraction showing strongest activity. Perilla seed methanol extract also decreased glutamate- and ${\beta}-amyloid$ protein $(A{\beta})-induced$ cytotoxicities of PC 12 cells dose-dependently. Formation of TBARS induced by $FeSO_{4^-}H_2O_2$ in rat brain was significantly reduced by perilla seed methanol extract, with strongest protective activity formation of TBARS shown in n-butanol fraction. Results suggest perilla seed methanol extract may attenuate actylcholinesterase activity and cytotoxicity induced by glutamate and ${\beta}-amyloid$ protein through suppression of oxidative stress.

• Bulletin of the Korean Mathematical Society
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• v.34 no.4
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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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• v.19 no.4
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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.

• Journal of the Korean Mathematical Society
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• v.49 no.4
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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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• v.17 no.1
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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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• v.19 no.1_2
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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.

• Communications of the Korean Mathematical Society
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• v.10 no.4
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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 $A_1$.

• Journal of Korean Public Health Nursing
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• v.26 no.1
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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.

• The Pure and Applied Mathematics
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• v.28 no.4
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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.

• Journal of the Korea Convergence Society
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• v.11 no.10
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• pp.155-162
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• 2020

This study wanted to confirm the relevance between body mass index(BMI) and insulin resistance and beta-cell function based on abdominal obesity in obese middle-aged men. This study targeted 797 obese middle-aged men who had undergone health checkups at general hospitals in Gyeonggi-do from January 2018 to June 2020. There were 327 in the group with abdominal obesity and 470 in the group without abdominal obesity. Glucose(p<0.001), HbA1c(p=0.003), insulin(p<0.001), HOMA-IR(p<0.001) was different between groups. BMI was a factor affecting insulin resistance and beta cell function regardless of the with or without of abdominal obesity. BMI was associated with the onset of disease of insulin resistance and beta cell functional degradation regardless of the with or without of abdominal obesity. Therefore, it is considered necessary to manage the indicators of the BMI through exercise programs and regular checkups for health management of middle-aged obese men.