• Journal of the Korean Physical Society
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• v.73 no.11
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• pp.1650-1656
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• 2018

Photons generated via spontaneous parametric down-conversion (SPDC) have broad spectrums and suffer from dispersive broadening of the temporal wave packets when they are transmitted through dispersive media. In this paper we theoretically and experimentally study the detailed amount of the temporal broadening of the two-photon wave packets generated via both type-I and type-II SPDC with ${\beta}-BaB_2O_4$ of various lengths, by transmitting them through optical fibers. We interpret the results with respect to the spectral properties of the two-photon wave packets. We believe that our results will contribute to implementing protocols involving long-range distributions of photon pairs.

• Journal of the Chungcheong Mathematical Society
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• v.23 no.2
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• pp.349-362
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• 2010

We establish the various relationships among the integral transform ${\mathcal{F}}_{{\alpha},{\beta}}F$, the convolution product $(F*G)_{\alpha}$ and the first variation ${\delta}F$ for a class of functionals defined on K(Q), the space of complex-valued continuous functions on $Q=[0,S]{\times}[0,T]$ which satisfy x(s, 0) = x(0, t) = 0 for all $(s,t){\in}Q$. And also we obtain Parseval's and Plancherel's relations for the integral transform of some functionals defined on K(Q).

• East Asian mathematical journal
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• v.39 no.3
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• pp.355-367
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• 2023

Extending [14], we establish the existence of multiple positive solutions for a Schrödinger-type singular elliptic equation: $$\{{-{\Delta}u+V(x)u={\lambda}{\frac{f(u)}{u^{\beta}}},\;x{\in}{\Omega}, \atop u=0,\;x{\in}{\partial}{\Omega},$$ where 0 ∈ Ω is a bounded domain in ℝ^N, N ≥ 1, with a smooth boundary ∂Ω, β ∈ [0, 1), f ∈ C[0, ∞), V : Ω → ℝ is a bounded function and λ is a positive parameter. In particular, when f(s) > 0 on [0, σ) and f(s) < 0 for s > σ, we establish the existence of at least three positive solutions for a certain range of λ by using the method of sub and supersolutions.

• Communications for Statistical Applications and Methods
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• v.30 no.2
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• pp.191-213
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• 2023

Unit distributions are frequently used in probability theory and statistics to depict meaningful variables having values between zero and one. Using convenient transformation, the unit inverse exponentiated weibull (UIEW) distribution, which is equally useful for modelling data on the unit interval, is proposed in this study. Quantile function, moments, incomplete moments, uncertainty measures, stochastic ordering, and stress-strength reliability are among the statistical properties provided for this distribution. To estimate the parameters associated to the recommended distribution, well-known estimation techniques including maximum likelihood, maximum product of spacings, least squares, weighted least squares, Cramer von Mises, Anderson-Darling, and Bayesian are utilised. Using simulated data, we compare how well the various estimators perform. According to the simulated outputs, the maximum product of spacing estimates has lower values of accuracy measures than alternative estimates in majority of situations. For two real datasets, the proposed model outperforms the beta, Kumaraswamy, unit Gompartz, unit Lomax and complementary unit weibull distributions based on various comparative indicators.

• Kyungpook Mathematical Journal
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• v.64 no.1
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• pp.113-131
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• 2024

In this paper we give conditions for the existence of, and describe the asymtotic behavior of, radial positive solutions of the nonlinear elliptic equation of Emden-Fowler type with convection term ∆_p u + 𝛼|u|^q-1u + 𝛽x.∇(|u|^q-1u) = 0 for x ∈ ℝ^N, where p > 2, q > 1, N ≥ 1, 𝛼 > 0, 𝛽 > 0 and ∆_p is the p-Laplacian operator. In particular, we determine ${\lim}_{r{\rightarrow}}{\infty}\,r^{\frac{p}{q+1-p}}\,u(r)$ when $\frac{{\alpha}}{{\beta}}$ > N > p and $q\,{\geq}\,{\frac{N(p-1)+p}{N-p}}$.

• Applied Chemistry for Engineering
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• v.18 no.3
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• pp.267-272
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• 2007

The critical micelle concentration (CMC) and the counterion binding constant (B) in a mixed micellar state of the trimethyltetradecylammonium bromide (TTAB) with the polyoxyethylene (23) lauryl ether (Brij 35) at $25^{\circ}C$ in water and in aqueous solutions of n-butanol (0.1 M, 0.2 M, and 0.3 M) were determined as a function of ${\alpha}_1$ (the overall mole fraction of TTAB) by the use of electric conductivity method and surface tensiometer method. Various thermodynamic parameters ($X_i$, ${\gamma}_i$, $C_i$, ${a_i}^M$, ${\beta}$, and ${\Delta}H_{mix}$) were calculated by means of the equations derived from the nonideal mixed micellar model. The effects of n-butanol on the micellization of TTAB/Brij 35 mixtures have been also studied by analyzing the measured and calculated thermodynamic parameters.

• The Journal of Internal Korean Medicine
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• v.29 no.4
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• pp.1025-1036
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• 2008

Objectives : The aim of present study was to investigate recovery effects of gypsum, which has been used clinically in diabetes therapy. Methods : We established three groups, normal, control, and gypsum, and assigned 6 rats to each group. The normal group was not treated by any process and fed normal saline. The control & gypsum groups were administered streptozotocin(STZ) to induce diabetes. Gypsum extract was orally administered to the gypsum group for 10 days. After 8 weeks, the rats were sacrificed and their body weight, 24hrs urinary protein excretion, glucose, albumin, BUN, creatinine, total-cholesterol, LDL-cholesterol, triglyceride in blood, level of glycation end-product (AGE) and transforming growth factor ($TGF-{\beta}1$) in serum were measured. Morphological profiles and morphometric studies of the kidney cortex. renal transforming growth factor ($TGF-{\beta}1$) expression, macrophage/monocyte antigen (ED-1), and type IV collagen expression were studied. Results : The following results were obtained. The protein amount in urine per 24hrs of the gypsum-treated group as compared to the control was significantly reduced. The BUN and creatinine level in serum of the gypsum-treated group as compared to the control was significantly inhibited. The construction change in the kidneys of the gypsum-treated group as compared to the control was significantly inhibited. The factor of the gypsum-treated group as compared to the control was significantly inhibited. which induced the structural change in the kidneys. Conclusions : The above results suggest that gypsum partially improved kidney function.

• The Korean Journal of Physiology
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• v.27 no.1
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• pp.27-35
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• 1993

Effects of the endothelium on the contractile responses to norepinephrine (NE) were investigated in isolated helical strips of the proximal and distal coronaries artery of pigs. The helical strips were immersed in Tris-buffered Tyrode's solution equilibrated with 100% $O_2$ at $35^{\circ}C$ and its isometric tension was measured. NE relaxed the strips precontracted with acetylcholine from both the proximal and distal coronary artery. NE-induced relaxation, which might be induced mainly by $\beta$-adrenoceptor function was dominant in the distal coronary arteries. NE-induced relaxation was converted to a contraction after $\beta$-adrenoceptor blockade with propranolol $(3{\times}10^{-6}M)$. ${\alpha}$-adrenoceptor-mediated contraction by NE was greater in the proximal coronary artery than the distal coronary artery. Quantitatively, ${\alpha}_1$-adrenoceptor mediated contraction by NE was greater than ${\alpha}_2$-adrenoceptor mediated contraction by NE in both arteries. NE-induced relaxation was decreased by rubbing of endothelium in both arteries. ${\alpha}_1-and\;{\alpha}_2$-adrenoceptor mediated contraction by NE were potentiated by rubbing of endothelium in both arteries. Pretreatment with methylene blue, an inhibitor of soluble guanylate cyclase, increased ${\alpha}_1-\;and\;{\alpha}_2$-adrenoceptor mediated contraction by NE in both arteries with endothelium. From the above results, we suggest that the effect of activation of $\alpha$-adrenoceptors by NE may be modulated by endothelium in the proximal and distal coronary arteries of pigs. This effect may be mediated via endothelium derived relaxing factor.

• Journal of Life Science
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• v.22 no.2
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• pp.266-280
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• 2012

Agar is a cell wall component of macro red algae that can be hydrolyzed by agarase. Agarases are classified into ${\alpha}$-agarase (E.C. 3.2.1.158) and ${\beta}$-agarase (E.C. 3.2.1.81), in accordance with their cleavage pattern, and can be grouped in the glycoside hydrolase (GH)-16, -58, -86, -96, and -118 family according to the amino acid sequences of the proteins. Many agarases and/or their genes have been detected, isolated, and recombinantly expressed from bacteria, and metagenomes have their origins in sea and terrestrial environments. Products of agarases, agarooligosaccharides and neoagarooligosaccharides, represent wide functions such as antitumor, immune stimulation, antioxidation, prebiotic, hepa-protective, antibacterial, whitening, and moisturizing effects; hence, broad applications would be possible in the food industry, cosmetics, and medical fields. In addition, agarases are also used as a tool enzyme for research. This paper reviews the sources, purifications and detection methods, and application fields of agarases. The role of agarases in agar metabolism and the function of their enzymatic products are also surveyed.

• Asian-Australasian Journal of Animal Sciences
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• v.21 no.4
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• pp.510-522
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• 2008

Our earlier studies showed that estrogen was involved in the regulation of fluid reabsorption in adult mouse efferent ductules (ED), through estrogen receptor (ER) ${\alpha}$ and $ER{\beta}$ by modulating gene expression of epithelial genes involved in ion homeostasis. However, little is known about the importance of $ER{\alpha}$ in the ED during postnatal development. Based on previous findings, we hypothesized that there should be a difference in the expression of epithelial ion transporters and anion producers in the ED of postnatal wild type (WT) and estrogen receptor ${\alpha}$ knockout (${\alpha}ERKO$) mice. Using absolute, comparative and semi-quantitative RT-PCR along with immunohistochemistry, we looked at expression levels of several genes in the ED across postnatal development. The presence of estrogen in the testicular fluid was indirectly ascertained by immunohistochemical detection of the P450 aromatase in the testis. There was no immunohistochemically detectable difference in the expression of P450 aromatase in the testes and ER${\beta}$ in the ED of WT and ${\alpha}$ERKO mice. ER${\alpha}$ was only detected in the ED of WT mice. The absence of ER${\alpha}$ in the ED of postnatally developing mice resulted in differential expression of mRNAs and/or proteins for carbonic anhydrase II, $Na^+/H^+$ exchanger 3, down-regulated in adenoma, cystic fibrosis transmembrane regulator, and $Na^+/K^+$ ATPase ${\alpha}$. Our data indicate that the absence of ER${\alpha}$ resulted in altered expression of an epithelial ion producer and transporters during postnatal development of mice. We conclude that the presence of ER${\alpha}$is important for regulation of the ED function during the prepubertal developmental and postpubertal period.