• Bulletin of the Korean Mathematical Society
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• v.55 no.5
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• pp.1463-1481
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• 2018

Let $X=\{X_t\}_{t{\geq}0}$ be a $L{\acute{e}}vy$ process in ${\mathbb{R}}^d$ and ${\Omega}$ be an open subset of ${\mathbb{R}}^d$ with finite Lebesgue measure. The quantity $H_{\Omega}(t)={\int_{\Omega}}{\mathbb{P}}^x(X_t{\in}{\Omega})$ dx is called the heat content. In this article we consider its generalized version $H^{\mu}_g(t)={\int_{\mathbb{R}^d}}{\mathbb{E}^xg(X_t){\mu}(dx)$, where g is a bounded function and ${\mu}$ a finite Borel measure. We study its asymptotic behaviour at zero for various classes of $L{\acute{e}}vy$ processes.

• Korean Journal of Clinical Laboratory Science
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• v.41 no.2
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• pp.67-75
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• 2009

In order to provide basic data for the prevention of adverse effects of lead on health, we examined lead levels in the blood of 30 handicapped workers employed in manufacturing electronic components in Seoul from 2002 to 2008. The average lead level in the blood of all the subjects was $4.79{\pm}4.32{\mu}g/dL$ in females, $2.64{\pm}2.31{\mu}g/dL$ in males, and $3.88{\pm}3.75{\mu}g/dL$ in total. Lead levels examined in this study were significantly lower than other investigators study have reported. The average lead level from personal exposure of the subjects was $1.44{\pm}0.91mg/m^3$ in the workplace. The relation between blood lead levels and personal exposure was a simple linear regression; it's equation was "Lead level in blood = 6.04 - 1.92 lead level by personal exposure".

• Journal of the Society of Cosmetic Scientists of Korea
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• v.37 no.4
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• pp.357-363
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• 2011

In this study, the antioxidative effects and inhibitory activities on tyrosinase of Rheum undulatum (R.undulatum) L. extracts were investigated. 50 % ethanol extract, ethyl acetate and aglycone fractions of R. undulatum L. were used in experiments. The DPPH (1,1-diphenyl-2-picrylhydrazyl) scavenging activities ($FSC_{50}$) of R. undulatum L. extracts was lower than (+)-${\alpha}$-tocopherol, known as a typical antioxidant. Reactive oxygen species (ROS) scavenging activities ($OSC_{50}$) of aglycone fraction on ROS generated in $Fe^{3+}$-EDTA/$H_2O_2$ system using the luminol-dependent chemiluminescence assay showed the most prominent effect at a concentration of $0.265\;{\mu}g/mL$. The cellular protective effects of extract/fractions of R. undulatum L. on the rose-bengal sensitized photohemolysis of human erythrocytes were increased in a concentration dependent manner ($1{\sim}50\;{\mu}g/mL$). Especially, aglycone fraction in $10\;{\mu}g/mL$ concentration showed the most protective effect among extracts (${\tau}_{50}$, 757.0 min). The inhibitory effects ($IC_{50}$, $11.20\;{\mu}g/mL$) on tyrosinase of aglycone fraction was much higher than arbutin ($226.88\;{\mu}g/mL$), known as a whitening agent. These results indicate that R. undulatum L. extracts can be used as antioxidant. Particularly, aglycone fraction of R. undulatum L. showed superior antioxdative activity and high inhibitory effect on tyrosinase. Therefore, aglycone fraction of R. undulatum L. could be applicable to new functional cosmetics.

• Journal of the Chungcheong Mathematical Society
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• v.27 no.4
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• pp.697-705
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• 2014

For a complex measure ${\mu}$ on B and $f{\in}L^2_a(B)$, the Toeplitz operator $T_{\mu}$ on $L^2_a(B,dv)$ with symbol ${\mu}$ is formally defined by $T_{\mu}(f)(w)=\int_{B}f(w)\bar{K(z,w)}d{\mu}(w)$. We will investigate properties of the Toeplitz operator $T_{\mu}$ with symbol ${\mu}$. We define the Toeplitz type operator $T^r_{\psi}$ with symbol ${\psi}$, $$T^r_{\psi}f(z)=c_r\int_{B}\frac{(1-{\parallel}w{\parallel}^2)^r}{(1-{\langle}z,w{\rangle})^{n+r+1}}{\psi}(w)f(w)d{\nu}(w)$$. We will also investigate properties of the Toeplitz type operator with symbol ${\psi}$.

• Journal of Aquaculture
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• v.13 no.4
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• pp.353-357
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• 2000

Porphyra pseudolinearis and P. dentata from Korea were crossed and the hybrid was cultured at different temperatures (5, 10, 15, 20 or $25^{\circ}C$), photon flux densities (10, 20, 40 or 80${\mu}$mol m$^{-2}$s$^{-1}$) under photoperiods (14L:10D and 10L:14D). In the hybrids, the conchocelis grew faster at 2$0^{\circ}C$ and 40$\mu$mol m$^{-2}$ s$^{-1}$ at $25^{\circ}C$ only, and were abundant, when cultured under 10L:14D. Foliose thalli of the hybrid grew rapidly at conditions of 10-2$0^{\circ}C$, 10L:14D and 15-2$0^{\circ}C$, 14L:10D but slowly at 5 and 2$0^{\circ}C$. No archeospores were observed any tested culture condition. Spermatangial and zygotosporangial sori were formed at the marginal portion o mature thallus. Zygotospores from the hybrid were released at 10-2$0^{\circ}C$ under both photoperiods, and gave rise to form conchocelis filament. Monoecious thalli were observed at 1$0^{\circ}C$ under 14L:10D. Neither monospores nor protothalli were produced from the conchocelis in culture.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.2
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• pp.393-402
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• 2013

For 0 < $p$ < ${\infty}$, ${\alpha}$ > -1 and 0 < $r$ < 1, we show that if $f$ is in the space of Dirichlet type $\mathfrak{D}^p_{p-1}$, then ${\int}_{1}^{0}M_{p}^{p}(r,f^{\prime})(1-r)^{p-1}rdr$ < ${\infty}$ and ${\int}_{1}^{0}M_{(2+{\alpha})p}^{(2+{\alpha})p}(r,f^{\prime})(1-r)^{(2+{\alpha})p+{\alpha}}rdr$ < ${\infty}$ where $M_p(r,f)=\[\frac{1}{2{\pi}}{\int}_{0}^{2{\pi}}{\mid}f(re^{it}){\mid}^pdt\]^{1/p}$. For 1 < $p$ < $q$ < ${\infty}$ and ${\alpha}+1$ < $p$, we show that if there exists some positive constant $c$ such that ${\parallel}f{\parallel}_{L^{q(d{\mu})}}{\leq}c{\parallel}f{\parallel}_{\mathfrak{D}^p_{\alpha}}$ for all $f{\in}\mathfrak{D}^p_{\alpha}$, then ${\parallel}f{\parallel}_{L^{q(d{\mu})}}{\leq}c{\parallel}f{\parallel}_{\mathcal{B}_p(q)}$ where $\mathcal{B}_p(q)$ is the weighted Besov space. We also find the condition of measure ${\mu}$ such that ${\sup}_{a{\in}D}{\int}_D(k_a(z)(1-{\mid}a{\mid}^2)^{(p-a-1)})^{q/p}d{\mu}(z)$ < ${\infty}$.

• Journal of Applied Biological Chemistry
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• v.58 no.3
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• pp.197-199
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• 2015

The composition of the essential oil of Ligustrum japonicum leaves was determined by GC-MS analysis. The major constituents of L. japonicum leaf oil were germacrene D (40.50%), ${\alpha}$-pinene (13.63%), (-)-${\beta}$-elemene (6.42%), ${\beta}$-caryophyllene (5.73%), and $\delta$-cadinene (5.47%). The acaricidal activities of L. japonicum oil were evaluated against acaridae and pyroglyphid mites. In the fumigant bioassay, the $LD_{50}$ values of L. japonicum oil were 16.48, 12.38, and $15.63{\mu}g/cm^3$ against Tyrophagus putrescentiae, Dermatophagoides farinae, and D. pteronyssinus, respectively. In the contact bioassay, the $LD_{50}$ values of L. japonicum oil were 8.02, 5.02, and $7.67{\mu}g/cm^2$ against T. putrescentiae, D. farinae, and D. pteronyssinus, respectively.

• Journal of the Society of Cosmetic Scientists of Korea
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• v.34 no.3
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• pp.233-244
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• 2008

In this study, the antioxidative effects, inhibitory effects on elastase and tyrosinase, and component analysis of Psidium guajava leaf extracts were investigated. The free radical (1,1-diphenyl-2-picrylhydrazyl, DPPH) scavenging activities $(FSC_{50})$ of extract/fractions of Psidium guajava leaf were in the order: 50% ethanol extract $(7.05{\mu}g/mL)$ < ethyl acetate fraction $(3.36{\mu}g/mL)$ < deglycosylated flavonoid aglycone fraction $(3.24{\mu}g/mL)$. Reactive oxygen species (ROS) scavenging activities $(OSC_{50})$ of some Psidium guajava leaf extracts on ROS generated in $Fe^{3+}-EDTA/H_2O_2$ system were investigated using the luminol-dependent chemiluminescence assay. The order of ROS scavenging activities were 50% ethanol extract $(OSC_{50},\;2.17{\mu}g/mL)$ < ethyl acetate fraction $(0.64{\mu}g/mL)$ < deglycosylated flavonoid aglycone fraction $(3.39{\mu}g/mL)$. Aglycone fraction showed the most prominent ROS scavenging activity. The protective effects of extract/fractions of Psidium guajava leaf on the rose-bengal sensitized photohemolysis of human erythrocytes were investigated. The Psidium guajava leaf extracts suppressed photohemolysis in a concentration dependent manner $(1{\sim}10{\mu}g/mL)$, particularly deglycosylated flavonoid aglycone fraction exhibited the most prominent celluar protective effect ${\tau}_{50}\;107.5min\;at\;1{\mu}g/mL)$. Aglycone fraction obtained from the deglycosylation reaction of ethyl acetate fraction among the Psidium guajava leaf extracts, showed 1 band in TLC and 1 peak in HPLC experiments (360 nm). One component was identified as quercetin. TLC chromatogram of ethyl acetate fraction of Psidium guajava leaf extract revealed 5 bands and HPLC chromatogram showed 5 peaks, which were identified as quercetin 3-O-gentobioside (10.32%) , quercetin 3-O-${\beta}$-D-glucoside (isoquercitin, 13.30%), quercetin 3-O-${\beta}$-D-galactoside (hyperin, 11.34%), quercetin 3-O-${\alpha}$-L-arabinoside (guajavarin, 19.70%), quercetin 3-O-${\beta}$-L-rhamnoside (quercitrin, 45.33%) in the order of elution time. The inhibitory effect of Psidium guajava leaf extracts on tyrosinase were investigated to assess their whitening efficacy. Finally, their anti-elastase activities were measured to predict the anti-wrinkle efficacy in the human skin. Inhibitory effects $(IC_{50})$ on tyrosinase of some Psidium guajava leaf extracts was 50% ethanol extract $(149.67{\mu}g/mL)$ < ethylacetate fraction $(30.67{\mu}g/mL)$ < deglycosylated aglycone fraction $(17.10{\mu}g/mL)$. Inhibitory effects $(IC_{50})$ on elastase of some Psidium guajava leaf extracts was 50% ethanol extract $(6.60{\mu}g/mL)$ < deglycosylated aglycone fraction $(5.66{\mu}g/mL)$ < ethylacetate fraction $(3.44{\mu}g/mL)$. These results indicate that extract/fractions of Psidium guajava leaf can function as antioxidants in bioloigcal systems, particularly skin exposed to UV radiation by scavenging $^1O_2$ and other ROS, and protect cellular membranes against ROS. And component analysis of Psidium guajava leaf extract and inhibitory activity on elastase of the aglycone fraction could be applicable to new functional cosmetics for smoothing wrinkles.

• Journal of the Society of Cosmetic Scientists of Korea
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• v.33 no.3
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• pp.189-196
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• 2007

In order to investigate the potential of very low molecular weight hyaluronic acid(oligo HA) as a cosmetic ingredient, we first measured its cytotoxicity in fibroblast, keratinocyte, and SIRC cell lines. For efficacy test, its moisturizing effect and penetration rate were evaluated in an artificial skin system and Caco-2 cells. Oligo HA did not show any cytotoxicity at a concentration of 300 ${\mu}g/mL$ in fibroblasts and 1,000 ${\mu}g/mL$ in keratinocytes but it showed weak proliferation. In vitro ocular test, oligo HA showed negligible cytotoxicity at the maximum concentrations used(2,000 ${\mu}g/mL$) in SIRC cells. In the test of the single and repeated cutaneous applications, oligo HA under occlusive patch did not provoke any cumulative irritation and sensitization. Oligo HA at a concentration of 0.01 % exhibited a more potent moisturizing effect than hyaluronic acid at a concentration of 0.01 %. In the permeability test using artificial skin and Caco-2 cell lines, hyaluronic acid(M.W. $1.1{\times}10^6$) was hardly observed in the down medium of the inserts. On the other hand, oligo HA(M.W. 5,000) was detected in the down medium up to 16.0 % at 6 h in Caco-2 cell culture and up to 90 % at 6 h in an artificial skin system. These results suggest that oligo HA could be useful as an active ingredient for cosmetics.

• Archives of Pharmacal Research
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• v.28 no.9
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• pp.1053-1056
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• 2005

Cytotoxic activitiy of seven hederagenin saponins isolated from the root of Dipsacus asper were investigated in vitro against L1210, HL-60 and SK-OV-3 tumor cell lines by the MTT method. $3-O-\alpha-L-rhamnopyranosyl-(1{\rightarrow}2)-\alpha-L -arabinopyranosyl$ hederagenin (2),\;$3-O-\beta-D­xylopyranosyl-( 1{\rightarrow}3)-\alpha-L-Rhamnopyranosyl-(1{\rightarrow}2)-\alpha-L -arabinopyranosyl$ hederagenin (6) and $3-O-\beta-D-glucopyranosyl-(1{\rightarrow}3)-\alpha-L-rhamnopyranosyl-( 1{\rightarrow}2)-\alpha-L-arabinopyranosyl$ hederagenin (7) exhibited the potent cytotoxicity against the three tumor cell lines with $IC_{50}$ values ranging from 4.7 to 8.7 ${\mu}g/mL$, with the exception of compound 7, which exhibited weak cytotoxic activity against SK-OV-3 $(IC_{50}\;22.5\;{\mu}g/mL)$. Other compounds did not exhibit any cytotoxic activity $(IC_{50}>30{\mu}g/mL)$.