• International Journal of Oral Biology
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• v.33 no.1
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• pp.1-5
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• 2008

Adenosine 5'-triphosphate (ATP) is an important extracellular signaling molecule which is involved in a variety of physiological responses in many different tissues and cell types, by acting at P2 receptors, either ionotropic (P2X) or G protein-coupled metabotropic receptors (P2Y). P2X receptors have seven isoforms designated as $P2X_{1^-}P2X_7$. In this study, we investigated the electrophysiological and pharmacological properties of rat $P2X_{1^-}P2X_4$ currents by using whole-cell patch clamp technique in a heterologous expression system. When ATP-induced currents were analyzed in human embryonic kidney (HEK293) cells following transient transfection of rat $P2X_{1^-}P2X_4$, the currents showed different pharmacological and electrophysiological properties. ATP evoked inward currents with fast activation and fast desensitization in $P2X_{^1-}$ or $P2X_{3^-}$ expressing HEK293 cells, but in $P2X_{2^-}$ or $P2X_{4^-}$ expressing HEK293 cells, ATP evoked inward currents with slow activation and slow desensitization. While PPADS and suramin inhibited $P2X_2$ or $P2X_3$ receptor-mediated currents, they had little effects on $P2X_4$ receptor-mediated currents. Ivermectin potentiated and prolonged $P2X_4$ receptor-mediated currents, but did not affect $P2X_2$ or $P2X_3$ receptor-mediated currents. We suggest that distinct pharmacological and electrophysiological properties among P2X receptor subtypes would be a useful tool to determine expression patterns of P2X receptors in the nervous system including trigeminal sensory neurons and microglia.

• Restorative Dentistry and Endodontics
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• v.32 no.6
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• pp.514-521
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• 2007

The purinoreceptor, $P2X_3$ is a ligand-gated cation channel activated by extracellular ATP. It has been reported that ATP can be released during inflammation and tissue damage, which in turn may activate $P2X_3$ receptors to initiate nociceptive signals. However, little is known about the contribution of $P2X_3$ to the dental pain during pulpal inflammation. Therefore, the purpose of this study was to investigate the expression of $P2X_3$ and its colocalization with TRPV1 to understand the mechanism of pain transmission through $P2X_3$ in the human dental pulp with double labeling immunofluorescence method. In the human dental pulp, intense $P2X_3$ immunoreactiyity was observed throughout the coronal and radicular pulp. Of all $P2X_3$-positive fibers examined, 79.4% coexpressed TRPV1. This result suggests that $P2X_3$ along with TRPV1 may be involved in the transmission of pain and potentiation of noxious stimuli during pulpal inflammation.

• Journal of agricultural medicine and community health
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• v.10 no.1
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• pp.42-48
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• 1985

This study was carried out to obtain the basic data for epdemiological survey of hypertension in old population (60 years or more). From May, 1983 to April, 1984, 365 males and 335 females who inhabit in Ko-Chang Gun, Chonbuk Province were investigated for several factors as their socio-econmic status and laboratory examinations with blood pressure, and which factors were analysed by simple correlation and multiple regression analysis. The results are summarized as follows; 1) Sample size of this study is equivalent to 5.2%(male;6.7%, female;4.3%) of population in 60 years or more age group, and the mean age of samples is 70.6${\pm}$5.3 (yr.) in males and 71.4${\pm}$5.3 (yr.) in female (P>0.05). 2) Mean blood pressure of males are 135.9${\pm}$21.3mm Hg in systolic and 85.3${\pm}$13.4mm Hg in diastolic phase and in female, 131.0${\pm}$23.6 mm Hg and 84.1${\pm}$19.9 mm Hg (P < 0.01). Their prevalence rates of hypertension (${\geq}$ 140 mm Hg in systolic, ${\geq}$ 95 mm Hg in diastolic phases) are 33.7% in males, 40.6% in females (P < 0.01). 3) Serum cholesterol levels and other independent variables are revealed in normal ranges, and except to Vervaeck index (89.4${\pm}$5.6 in males, 87.5${\pm}$6.7 in females, p<0.01), other are not significant sexual differences (P>0.05). 4) In the simple correlation analysis, the main factors that affect to blood pressure are serum cholesterol levels (P < 0.05) and Vervaeck index (P < 0.01) in males, age (P <0.05) and Vervaeck index (P <0.01) in females. 5) In multiple regression analysis, prediction equations for blood pressure are calculated as follows; Ysm=-64.55+0.161(X1)+0.124(X2)-0.047(X3)+1.953(X4) Ydm=18.61-0.125(X1)+0.060(X2)+0.032(X3)+0.720(X4) Ysf=-0.22+0.536(X1)+0.134(X2)+0.068(X3+0.788(X4) Yaf=-14.46+0.685(X1)+0.033(X2)+0.176(X3)+0.362(X4) Ysm : Systolic blood pressure in male, Ydm : Diastolic blood pressure in male, Ysf : Systolic blood pressure in female, Ydf : Diastolic blood pressure in female. X1 : Age(year), X2 : Serum cholesterol level (mg%), X3 : Fastin blood sugar (mg% ), X4 : Vervaeck index.

• Applied Microscopy
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• v.38 no.3
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• pp.151-157
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• 2008

Trigeminal primary afferents expressing $P2X_3$ or transient receptor potential vanilloid 1 (TRPV1) are involved in the transmission of nociceptive information. In order to characterize $P2X_3$- and TRPV1-immunopositive neurons in the trigeminal ganglion (TG) and trigeminal caudal nucleus (Vc), we performed immunofluorescence experiments using anti-$P2X_3$ and anti-TRPV1 antisera and a morphometric analysis. 77.4% (1,401/1.801) of all the $P2X_3$-postive neurons coexpressed TRPV1 and 51.9% (1,401/2,698) of all the THFV1-immunopositive neurons also costained for $P2X_3$ in the TG. Immunoreactivity for both $P2X_3$ and TRPV1 were present in medium-sized neurons but not in small- and large-sized neurons. $P2X_3$ and/or TRPV1-immunopositive fibers were observed in the primary afferents and their associated axons in the Vc. These fibers and terminals were distributed in the superficial lamina of Vc: $P2X_3$-immunopositive fibers and terminals were distributed in the lamina I and II, expecially in the inner part of lamina II (lamina IIi), whereas TRPV1-immunopositive ones were densely detected in the lamina I and outer part of lamina II (lamina IIo). Immunopositive fibers and terminals for both $P2X_3$ and TRPV1 were observed on the border between lamina IIi and IIo. These results suggest that terminals coexpressing $P2X_3$ and TRPV1 are involved in specific roles in the transmission and processing of orofacial nociceptive information.

• Honam Mathematical Journal
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• v.42 no.3
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• pp.569-576
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• 2020

An element x ∈ E is called a norming point of P ∈ P(ⁿE) if ║x║ = 1 and |P(x)| = ║P║. For P ∈ P(ⁿE), we define Norm(P) = {x ∈ E : x is a norming point of P}. Norm(P) is called the norming set of P. We classify Norm(P) for P ∈ 𝒫(²𝑙²_∞).

• Journal of Korean Society of Environmental Engineers
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• v.30 no.6
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• pp.642-652
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• 2008

The aim of our research was to apply experimental design methodology in the optimization condition of Photo-Fenton oxidation of the residual livestock wastewater after the coagulation process. The reactions of Photo-Fenton oxidation were mathematically described as a function of parameters amount of Fe(II)($x_1$), $H_2O_2(x_2)$ and pH($x_3$) being modeled by the use of the Box-Behnken method, which was used for fitting 2nd order response surface models and was alternative to central composite designs. The application of RSM using the Box-Behnken method yielded the following regression equation, which is an empirical relationship between the removal(%) of livestock wastewater and test variables in coded unit: Y = 79.3 + 15.61x$_1$ - 7.31x$_2$ - 4.26x$_3$ - 18x$_1{^2}$ - 10x$_2{^2}$ - 11.9x$_3{^2}$ + 2.49x$_1$x$_2$ - 4.4x$_2$x$_3$ - 1.65x$_1$x$_3$. The model predicted also agreed with the experimentally observed result(R$^2$ = 0.96) The results show that the response of treatment removal(%) in Photo-Fenton oxidation of livestock wastewater were significantly affected by the synergistic effect of linear terms(Fe(II)($x_1$), $H_2O_2(x_2)$, pH(x$_3$)), whereas Fe(II) $\times$ Fe(II)(x$_1{^2}$), $H_2O_2$ $\times$ $H_2O_2$(x$_2{^2}$) and pH $\times$ pH(x$_3{^2}$) on the quadratic terms were significantly affected by the antagonistic effect. $H_2O_2$ $\times$ pH(x$_2$x$_3$) had also a antagonistic effect in the cross-product term. The estimated ridge of the expected maximum response and optimal conditions for Y using canonical analysis were 84 $\pm$ 0.95% and (Fe(II)(X$_1$) = 0.0146 mM, $H_2O_2$(X$_2$) = 0.0867 mM and pH(X$_3$) = 4.704, respectively. The optimal ratio of Fe/H$_2O_2$ was also 0.17 at the pH 4.7.

• Journal of the Korean Statistical Society
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• v.7 no.1
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• pp.3-10
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• 1978

Let $X_i,...,X_n$ be a random sample from a distribution with cumulants $K_1, K_2,...$. The statistic $t = \frac{\sqrt{x}(\bar{X}-K_1)}{S}$ has the well-known 'student' distribution with $\nu = n-1$ degrees of freedom if the $X_i$ are normally distributed (i.e., $K_i = 0$ for $i \geq 3$). An Edgeworth series expansion for the distribution of t when the $X_i$ are not normally distributed is obtained. The form of this expansion is Prob $(t

• Honam Mathematical Journal
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• v.31 no.3
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• pp.369-380
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• 2009

Let $X,X_1,X_2,\;{\cdots}$ be identically distributed and negatively associated random variables with mean zeros and positive, finite variances. We prove that, if $E{\mid}X_1{\mid}^r$ < ${\infty}$, for 1 < p < 2 and r > $1+{\frac{p}{2}}$, and $lim_{n{\rightarrow}{\infty}}n^{-1}ES^2_n={\sigma}^2$ < ${\infty}$, then $lim_{{\epsilon}{\downarrow}0}{\epsilon}^{{2(r-p}/(2-p)-1}{\sum}^{\infty}_{n=1}n^{{\frac{r}{p}}-2-{\frac{1}{p}}}E\{{{\mid}S_n{\mid}}-{\epsilon}n^{\frac{1}{p}}\}+={\frac{p(2-p)}{(r-p)(2r-p-2)}}E{\mid}Z{\mid}^{\frac{2(r-p)}{2-p}}$, where $S_n\;=\;X_1\;+\;X_2\;+\;{\cdots}\;+\;X_n$ and Z has a normal distribution with mean 0 and variance ${\sigma}^2$.

• Journal of the Korean Chemical Society
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• v.41 no.6
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• pp.277-283
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• 1997

Platinum(II) complexes(where, $[Pt(L)_2X_2]$; L=isoxazole(isox), 3,5-dimethylisoxazole(3,5-diMeisox), 3-methyl,5-phenylisoxazole(3-Me,5-Phisox), and 4-amino-3,5-dimethylisoxazole(4-ADI); X=Cl, Br) with planar ligands are investigated on antitumor activity by MM2 and EHMO calculations. It was found that, the net atomic charges of the halogen atoms in all of cis-, trans-isomers are greater than that of the nitrogen with planar form, indicating that ionic character of Pt-X bond is greater than that of Pt-N. Also, the ${\sigma}MO$ energy level($E{\sigma}_{(Pt-X)}$) of the interaction between $d_{x2-y2}$ orbital of Pt atom and $p_x$ orbital of X found to be higher than that of between $d_{x2-y2}$ orbital of Pt atom and $p_x$ orbital of N about all the complexes. It is found that bond strength of between Pt and X atom is weaker than that of between Pt and N atom. The ${\sigma}MO$ energy level($E{\sigma}_{(Pt-X)}$) of trans- complexes found to be higher than that of cis- complexes, as a result of bond strength of Pt-X in cis- and trans-complexes, for all the complexes. The degree of dissociation of X atom in Pt-X bond for trans-complexes are related to antitumor activity and the logIA value of inhibitory activity coefficient(IA).

• Nonlinear Functional Analysis and Applications
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• v.28 no.3
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• pp.801-812
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• 2023

In this paper, we investigate the superstability for the p-power-radical sine functional equation $$f\(\sqrt[p]{\frac{x^p+y^p}{2}}\)^2-f\(\sqrt[p]{\frac{x^p-y^p}{2}}\)^2=f(x)f(y)$$ from an approximation of the p-power-radical functional equation: $$f(\sqrt[p]{x^p+y^p})-f(\sqrt[p]{x^p-y^p})={\lambda}g(x)h(y),$$ where p is an odd positive integer and f, g, h are complex valued functions. Furthermore, the obtained results are extended to Banach algebras.