• Journal of Advanced Marine Engineering and Technology
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• v.32 no.8
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• pp.1129-1140
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• 2008

Many turbulence models have been developed in order to analyze the flow characteristics in an engine cylinder. Watkins introduced k-${\varepsilon}$ turbulence model for in-cylinder flow, and Reynolds modified turbulence dissipation rate by applying rapid transformation theory, Wu suggested k-${\varepsilon}-{\tau}$ turbulence model in which length scale and time scale are separated to introduce turbulence time scale, and Orszag proposed k-${\varepsilon}$ RNG model. This study applied the models to in-cylinder flow induced by intake valve and piston moving. All models showed similar flow fields during early stage of intake stroke. At the end of compression stroke, ${\kappa}-{\varepsilon}$ Watkins, ${\kappa}-{\varepsilon}$ Reynolds and ${\kappa}-{\varepsilon}$ RNG predicted well second and third vortex, especially ${\kappa}-{\varepsilon}$ RNG produced new forth vortex near central axis at the lower part of cylinder which was not predicted by the other models.

• Honam Mathematical Journal
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• v.30 no.1
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• pp.9-20
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• 2008

Let ${X_i{\mid}i{\geq}1}$ be a strictly stationary sequence of associated random variables with mean zero and let ${\sigma}^2=EX_1^2+2\sum\limits_{j=2}^\infty{EX_1}{X_j}$ with 0 < ${\sigma}^2$ < ${\infty}$. Set $S_n={\sum\limits^n_{i=1}^\{X_i}$, the precise asymptotics for ${\varepsilon}^{{\frac{2(r-p)}{2-p}}-1}\sum\limits_{n{\geq}1}n^{{\frac{r}{p}}-{\frac{1}{p}}+{\frac{1}{2}}}P({\mid}S_n{\mid}{\geq}{\varepsilon}n^{{\frac{1}{p}}})$,${\varepsilon}^2\sum\limits_{n{\geq}3}{\frac{1}{nlogn}}p({\mid}Sn{\mid}{\geq}{\varepsilon\sqrt{nloglogn}})$ and ${\varepsilon}^{2{\delta}+2}\sum\limits_{n{\geq}1}{\frac{(loglogn)^{\delta}}{nlogn}}p({\mid}S_n{\mid}{\geq}{\varepsilon\sqrt{nloglogn}})$ as ${\varepsilon}{\searrow}0$ are established under the suitable conditions.

• Journal of Pharmaceutical Investigation
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• v.22 no.4
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• pp.323-326
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• 1992

$Poly({\varepsilon}-carbobenzoxy\;L-lysine)/poly(ethylene oxide)/poly({\varepsilon}-carbobenzoxy\;L-lysine)$ (LEL) block copolymers containing $poly({\varepsilon}-carbobenzoxy\;L-lysine)$ (PCLL) as the A component and poly(ethylene oxide) (PEO) as the B component were investigated as drug delivery matrix. PCLL homopolymer and LEL block copolymer microspheres containing anticancer drug, cytarabine, were prepared by a solvent evaporation process and the release patterns of cytarabine from the microspheres were investigated in vitro. The size of PCLL homopolymer and LEL block copolymer microspheres was ranged from $0.2\;{\mu}m$ to $1\;{\mu}m$ in diameter and the shape of the microspheres was almost round. The release pattern of cytarabine from the block copolymer microspheres was dependent on the mole % of PEO of the block copolymers.

• Korean Journal of Food Science and Technology
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• v.43 no.2
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• pp.220-223
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• 2011

Human basophilic KU812F cells express a high affinity for IgE receptor, $Fc{\varepsilon}RI$, which plays an important role in immunoglobulin E (IgE)-mediated allergic reactions. Using the human basophilic KU812F cells, we assessed the inhibitory effects of the ethanolic extract from Chrysanthemum zawadsaki(CZ) on $Fc{\varepsilon}RI$ ${\alpha}$ chain expression. Flow cytometric analysis showed that cell surface $Fc{\varepsilon}RI$ ${\alpha}$ chain expression was suppressed when the cells were cultured with CZ extract. RT-PCR analysis showed that the mRNAs for $Fc{\varepsilon}RI$ ${\alpha}$ chain decreased by the treatment of CZ extract. Moreover, CZ extract was also observed to result in a reduction in the release of histamine from anti-$Fc{\varepsilon}RI$ antibody (CRA-1)-stimulated cells. These results suggest that CZ extract may exert anti-allergic activity through down-regulation of $Fc{\varepsilon}RI$ ${\alpha}$ chain expression and a subsequent decrease in histamine release.

• Journal of the Chungcheong Mathematical Society
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• v.9 no.1
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• pp.175-181
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• 1996

We show that $\frac{{\partial}x}{{\partial}{\gamma}}(t,{\tau},{\gamma},{\lambda},{\varepsilon})$ is a fundamental matrix of the variational system $\dot{y}=fx(t,x(t,{\tau},{\gamma},{\lambda},{\varepsilon}),{\lambda},{\varepsilon})y$ corresponding to the solution $x(t,{\tau},{\gamma},{\lambda},{\varepsilon})$ of $\dot{x}=f(t,x,{\lambda},{\varepsilon})$.

• Journal of Korea Water Resources Association
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• v.50 no.9
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• pp.637-646
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• 2017

This study presents a numerical model for simulating dense interflows. The governing equations are provided and the finite difference method is used with the $k-{\varepsilon}$ turbulence model. The model is used to simulate a dense interflow established in a deep ambient water, resulting velocity and excess density profiles. It is observed that velocity decreases in the longitudinal direction due to water entrainment in the vicinity of the outlet and rarely changes for increased Richardson number. Similarity collapses of velocity and excess density are obtained, but those of turbulent kinetic energy and dissipation rate are not. A shape factor for the dense interflow is obtained from the simulated profiles. The value of this shape factor can be used in the layer-averaged modeling of dense interflows. In addition, a buoyancy-related parameter ($c_{3{\varepsilon}}$) for the $k-{\varepsilon}$ model and the volume expansion coefficient (${\beta}_0$) are obtained from the simulated results.

• Journal of the Korean Society for Heat Treatment
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• v.17 no.6
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• pp.342-345
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• 2004

In this work, a new method of measuring volume fraction of deformation-induced ${\varepsilon}$ martensite is proposed using endothermic heat on reverse transformation. As grain size increases, the amount of ${\varepsilon}$ martensite forming on cooling increases. However, with a decrease in grain size, more ${\varepsilon}$ is induced by deformation, improving shape memory effect.

• Clinical and Experimental Pediatrics
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• v.51 no.1
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• pp.42-46
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• 2008

Purpose : Apolipoprotein E (Apo E) plays a major role in lipoprotein metabolism and lipid transport. Many investigators have described that Apo E polymorphisms is one of the most important genetic determinants for cardiovascular disease. The purpose of this study was to evaluate the association between Apo E polymorphisms and serum lipid profiles in obese adolescent. Methods : We measured the serum concentrations of glucose, apolipoprotein (Apo) A1, Apo B, total cholesterol (TC), triglyceride (TG), HDL and LDL-cholesterol after overnight fasting in obese adolescent. Apo E polymorphisms were determined by polymerase chain reaction-restriction fragment length polymorphism (PCR-RFLP). Results : 86 obese adolescents participated in this study. The body mass index (BMI) of participants were excess of 95 percentile by age and sex. Male to female ratio was 1.7 and mean age of study group was $16.2{\pm}1.8\;years$. Mean BMI was $27.4{\pm}2.5kg/m^2$. The frequency of ${\varepsilon}2$, ${\varepsilon}3$ and ${\varepsilon}4$ allele were 8.1%, 87.2% and 4.7% respectively. Study populations were classified into the following three genotypes 1) Apo E2 group (n=13, 15.1%) carrying either the ${\varepsilon}2/{\varepsilon}2$ or ${\varepsilon}2/{\varepsilon}3$ 2) Apo E3 group (n=65, 75.6%) carrying the most frequent ${\varepsilon}3/{\varepsilon}3$ 3) Apo E4 group (n=8, 9.3%) carrying either the ${\varepsilon}3/{\varepsilon}4$ or ${\varepsilon}4/{\varepsilon}4$. No differences were found among Apo E genotypes concerning age, sex, weight, height and BMI. Apo B and LDL-cholesterol concentrations were significantly higher in the Apo E4 group (P<0.05). No association were found between Apo E genotypes and glucose, Apo A1, TC, TG and HDL. Conclusions : We confirmed that serum concentrations Apo B and LDL-cholesterol were influenced by Apo E genotypes. Apo E polymorphisms seems to influence some alteration of lipid metabolism associated with obesity in adolescent.

• Journal of Genetic Medicine
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• v.3 no.1
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• pp.29-32
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• 1999

The Apolipoprotein E type 4 allele (ApoE ${\varepsilon}4$) is genetically associated with the common late onset familial and sporadic forms of Alzheimer's disease. The BchE-k variant, which is the common variant of the BchE gene, has been reported to show allelic association with AD in subjects who are also carriers of the ${\varepsilon}4$ allele of the ApoE, especially in subjects over the age of 75. This study was performed to evaluate the distribution of the ApoE and the BchE genotypes in the healthy and AD groups and to evaluate the synergy between the BchE-k variant and the ApoE ${\varepsilon}4$ in AD. The ApoE and the BchE genotypes were determined in DNA samples from 610 healthy people and 60 LOAD patients by using ARMS by standard agarose gel electrophoresis. The effect of the ApoE ${\varepsilon}4$ was closely related to AD(p<0.05). A comparison between the AD patients and the healthy individuals, both with the ${\varepsilon}4$ allele, indicated an interaction between the BchE-k and the ApoE ${\varepsilon}4$(p<0.05). The association of the BchE-k with AD was limited to carriers of the ApoE ${\varepsilon}4$ allele, among whom the presence of the BchE-k gave an odds ratio of AD 3.48 (95% C.I. 1.3-9.2). Therefore, these results suggested that further evidence of an association between the ApoE ${\varepsilon}4$ and LOAD, and the BchE-k acts in synergy with the ApoE ${\varepsilon}4$ as a susceptibility gene for AD.

• The Pure and Applied Mathematics
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• v.8 no.2
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• pp.153-162
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• 2001

In this Paper, the notion of $\varepsilon$-Birkhoff orthogonality introduced by Dragomir [An. Univ. Timisoara Ser. Stiint. Mat. 29(1991), no. 1, 51-58] in normed linear spaces has been extended to metric linear spaces and a decomposition theorem has been proved. Some results of Kainen, Kurkova and Vogt [J. Approx. Theory 105 (2000), no. 2, 252-262] proved on e-near best approximation in normed linear spaces have also been extended to metric linear spaces. It is shown that if (X, d) is a convex metric linear space which is pseudo strictly convex and M a boundedly compact closed subset of X such that for each $\varepsilon$>0 there exists a continuous $\varepsilon$-near best approximation $\phi$ : X → M of X by M then M is a chebyshev set .