• Korean Journal of Mathematics
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• v.26 no.1
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• pp.87-101
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• 2018

The purpose of this paper is to define a new class of hyperholomorphic functions spaces, which will be called $F^{\alpha}_{{\omega},G}$(p, q, s) type spaces. For this class, we characterize hyperholomorphic weighted ${\alpha}$-Bloch functions by functions belonging to $F^{\alpha}_{{\omega},G}$(p, q, s) spaces under some mild conditions. Moreover, we give some essential properties for the extended weighted little ${\alpha}$-Bloch spaces. Also, we give the characterization for the hyperholomorphic weighted Bloch space by the integral norms of $F^{\alpha}_{{\omega},G}$(p, q, s) spaces of hyperholomorphic functions. Finally, we will give the relation between the hyperholomorphic ${\mathcal{B}}^{\alpha}_{{\omega},0}$ type spaces and the hyperholomorphic valued-functions space $F^{\alpha}_{{\omega},G}$(p, q, s).

• East Asian mathematical journal
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• v.4
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• pp.57-73
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• 1988

The subclasses S*($\alpha,\beta,\mu$) and C*($\alpha,\beta,\mu$) ($0\leqq\alpha<1,\;0<\beta\leqq1$ and $0\leqq\mu\leqq1$) of T the class of analytic and univalent functions of the form $$f(z)=z-\sum\limit^{\infty}_{n=2}\mid a_n\mid z^n$$ have been considered. Sharp results concerning coefficients, distortion of functions belonging to S*($\alpha,\beta,\mu$) and C*($\alpha,\beta,\mu$) are determined along with a representation formula for the functions in S*($\alpha,\beta,\mu$). Furthermore, it is shown that the classes S*($\alpha,\beta,\mu$) and C*($\alpha,\beta,\mu$) are closed under arithmetic mean and convex linear combinations. Also in this paper, we find extreme points and support points for these classes.

• Journal of Periodontal and Implant Science
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• v.37 no.1
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• pp.23-33
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• 2007

파골세포에 의한 골흡수는 1) 혈관을 통한 파골세포 전구세포의 골표면 이동 및 2) 골표면에서 파골세포 전구세포로부터 파골세포 분화 두 단계를 거쳐 일어난다. Stromal cell derived factor $(SDF)-1{\alpha}$ 는 파골세포 전구세포의 화학주성인자이며 matrix metalloproteinase (MMP)-9는 파골세포 전구세포의 이동에 관여하는 단백 분해효소이다. 파골세포 전구세포의 골표면 이동에 있어서 LPS의 역할을 규명하기 위하여 E. coli 및 Actinobacillus actinomycetecomitans LPS의 1) 파골세포 전구세포 유도능, 2) LPS에 의한 파골세포 전구세포의 이동에 있어서 MMP 및 $SDF-1{\alpha}$ 의 관련성을 평가하였다. LPS에 의한 차골세포 전구세포의 RAW 세포의 이동은 matrigel 또는 type I collagen을 도포한 transwell을 이용하여 평가하였으며 MMP-9 및 $SDF-1{\alpha}$ 의 발현은 RT=PCR 또는 ELISA로 평가하였다. 각 세균의 LPS는 matrigel 또는 type I collagen을 통한 파골세포 전구세포의 이동을 증가시켰다. MMP 억제제는 각 세균의 LPS에 의한 파골세포 전구세포의 이동을 억제하였다. LPS는 파골세포 전구세포의 MMP-9의 발현을 증가시켰다. 각 세균의 LPS는 마우스 두개골에서 분리한 조골세포의 $SDF-1{\alpha}$ 의 발현을 증가시켰다. $SDF-1{\alpha}$ 을 함유한 LPS 처리 조골세포 배양상층액은 파골세포 전구세포의 이동을 증가시켰으며 anti $SDF-1{\alpha}$ Ab는 LPS처리 세포 배양상층액에 의한 파골세포 전구세포의 이동을 억제하였다. 이들 결과는 LPS가 파골세포 전구세포에서는 MMP-9을 조골세포에서는 $SDF-1{\alpha}$ 의 발현을 증가시켜 파골세포 전구세포의 이동을 촉진 시킬 수 있음을 시사한다.

• Journal of applied mathematics & informatics
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• v.34 no.3_4
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• pp.269-284
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• 2016

In this paper, we firstly use Krasnosel'skii fixed point theorem to investigate positive solutions for the following three-point boundary value problems for p-Laplacian with a parameter $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+{\lambda}f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕ_p(s) = |s|^p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1), λ > 0 is a parameter. Then we use Leggett-Williams fixed point theorem to study the existence of three positive solutions for the fractional boundary value problem $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕ_p(s) = |s|^p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1).

• Bulletin of the Korean Mathematical Society
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• v.56 no.5
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• pp.1117-1127
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• 2019

Let ${\mathcal{L}}_2=(-{\Delta})^2+V^2$ be the $Schr{\ddot{o}}dinger$ type operator, where nonnegative potential V belongs to the reverse $H{\ddot{o}}lder$ class $RH_s$, s > n/2. In this paper, we consider the operator $T_{{\alpha},{\beta}}=V^{2{\alpha}}{\mathcal{L}}^{-{\beta}}_2$ and its conjugate $T^*_{{\alpha},{\beta}}$, where $0<{\alpha}{\leq}{\beta}{\leq}1$. We establish the $(L^p,\;L^q)$-boundedness of operator $T_{{\alpha},{\beta}}$ and $T^*_{{\alpha},{\beta}}$, respectively, we also show that $T_{{\alpha},{\beta}}$ is bounded from Hardy type space $H^1_{L_2}({\mathbb{R}}^n)$ into $L^{p_2}({\mathbb{R}}^n)$ and $T^*_{{\alpha},{\beta}}$ is bounded from $L^{p_1}({\mathbb{R}}^n)$ into BMO type space $BMO_{{\mathcal{L}}1}({\mathbb{R}}^n)$, where $p_1={\frac{n}{4({\beta}-{\alpha})}}$, $p_2={\frac{n}{n-4({\beta}-{\alpha})}}$.

• Molecules and Cells
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• v.39 no.2
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• pp.87-95
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• 2016

Sirt1 is the most prominent and extensively studied member of sirtuins, the family of mammalian class III histone deacetylases heavily implicated in health span and longevity. Although primarily a nuclear protein, Sirt1's deacetylation of Peroxisome proliferator-activated receptor Gamma Coactivator-$1{\alpha}$ (PGC-$1{\alpha}$) has been extensively implicated in metabolic control and mitochondrial biogenesis, which was proposed to partially underlie Sirt1's role in caloric restriction and impacts on longevity. The notion of Sirt1's regulation of PGC-$1{\alpha}$ activity and its role in mitochondrial biogenesis has, however, been controversial. Interestingly, Sirt1 also appears to be important for the turnover of defective mitochondria by mitophagy. I discuss here evidences for Sirt1's regulation of mitochondrial biogenesis and turnover, in relation to PGC-$1{\alpha}$ deacetylation and various aspects of cellular physiology and disease.

• Journal of Veterinary Clinics
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• v.19 no.3
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• pp.342-349
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• 2002

Vitamin D is one of important factors involved in the regulation of bone metabolism. In osteoporosis, the therapeutic effect of vitamin D on the healing process has still been controversial. To conform the effect of $1{\alpha}$, 25 dihydroxy-vitamin $D_3$ on osteoporosis, the change of serum calcium, serum phosphorus, serum alkaline phosphatase, bone mineral density and bone mineral content of osteoporotic tibia were examined comparatively in normal control group(positive control), CFA control(negative control), CFA+$1{\alpha}$, 25 dihydroxy-vitamin $D_3$ 0.01 ug/kg group and CFA+$1{\alpha}$, 25 dihydroxy-vitamin $D_3$ 0.1 ug/kg group after osteoporosis was induced by single injection of complete Freund's adjuvant(CFA) in rats. In change of serum calcium. the significantly increased value was shown on 2nd and 5th week(P< 0.05) after treatment in $1{\alpha}$, 25 dihydroxy-vitamin D$_3$ 0.01 ug/kg group and on 3rd week(P<0.05) after treatment in $1{\alpha}$, 25 dihydroxy-vitamin $D_3$ 0.1 ug/kg group than CFA control. In change of serum phosphorus, the significantly increased value was shown on 2nd week(P<0.05) after treatment in $1{\alpha}$, 25 dihydroxy-vitamin $D_3$ 0.01 ug/kg group and on 3rd and 4th week(P<0.05) after treatment in $1{\alpha}$, ,25 dihydroxy-vitamin $D_3$ 0.1 ug/kg group than CFA control. The value of bone mineral density and bone mineral content of tibia was increased in both $1{\alpha}$,25 dihydroxy-vitamin $D_3$ 0.01 ug/kg group and $1{\alpha}$, 25 dihydroxy-vitamin $D_3$ 0.1 ug/kg group than CFA control, and the increase rate of that was higher in $1{\alpha}$, 25 dihydroxy-vitamin $D_3$ 0.1 ug/kg group than $1{\alpha}$, 25 dihydroxy-vitamin $D_3$ 0.01 ug/kg group. Considering above findings collectively, it was considered that $1{\alpha}$, 25 dihydroxy-vitamin $D_3$ was effective in preventing the complete Freund's adjuvant-induced osteoporotic decrease of bone mass.

• Archives of Pharmacal Research
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• v.28 no.11
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• pp.1275-1281
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• 2005

The $G_{q/11}$ protein-coupled receptors, such as muscarinic (M1 & M3) receptors, have been shown to regulate the release of a soluble amyloid precursor protein (sAPP$\alpha$) produced from $\alpha$-secretase processing. However, there is no direct evidence for the precise characteristics of G proteins, and the signaling mechanism for the regulation of $G_{q/11}$ protein-coupled receptor mediated sAPP$\alpha$ release is not clearly understood. This study examined whether the muscarinic receptor-mediated release of sAPP$\alpha$ is directly regulated by $G\alpha_{q/11}$ proteins. The HEK293 cells were transiently cotransfected with muscarinic M3 receptors and a dominant-negative minigene construct of the G protein $\alpha$ subunit. The sAPP$\alpha$ release in the media was measured using an antibody specific for sAPP. The sAPP$\alpha$ release enhancement induced by muscarinic receptor stimulation was decreased by a $G_{q/11}$ minigene construct, whereas it was not blocked by a control minigene construct (the G$\alpha$ carboxy peptide in random order, G$\alpha_{q}$R) or $G\alpha_{j}$ constructs. This indicated a direct role of the $G\alpha_{q/11}$ protein in the regulation of muscarinic M3 receptor-mediated sAPP$\alpha$ release. We also investigated whether the transactivation of the epidermal growth factor receptor (EGFR) by a muscarinic agonist could regulate the sAPP$\alpha$ release in SH-SY5Y cells. Pretreatment of a specific EGFR kinase inhibitor, tyrophostin AG1478 (250 nM), blocked the EGF-stimulated sAPP$\alpha$ release, but did not block the oxoM­stimulated sAPP$\alpha$ release. This demonstrated that the transactivation of the EGFR by muscarinic receptor activation was not involved in the muscarinic receptor-mediated sAPP$\alpha$ release.

• The Bulletin of The Korean Astronomical Society
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• v.38 no.1
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• pp.48.1-48.1
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• 2013

It is known that the diffuse $H{\alpha}$ emission outside of bright H II regions not only are very extended, but also can occur in distinct patches or filaments far from H II regions, and the line ratios of [S II] ${\lambda}6716/H{\alpha}$ and [N II] ${\lambda}6583/H{\alpha}$ observed far from bright H II regions are generally higher than those in the H II regions. These observations have been regarded as evidence against the dust-scattering origin of the diffuse $H{\alpha}$ emission (including other optical lines), and the effect of dust scattering has been neglected in studies on the diffuse $H{\alpha}$ emission. However, as opposed to the previous contention, the expected dust-scattered $H{\alpha}$ halos surrounding H II regions are, in fact, in good agreement with the observed $H{\alpha}$ morphology. We find that the observed line ratios of [S II]/$H{\alpha}$, [N II]/$H{\alpha}$, and He I ${\lambda}5876/H{\alpha}$ in the diffuse ISM accord well with the dust-scattered halos around H II regions, which are photoionized by late O- and/or early B-type stars. We also demonstrate that the $H{\alpha}$ absorption feature in the underlying continuum from the dust-scattered starlight ("diffuse galactic light") and unresolved stars is able to substantially increase the [S II]/$H{\alpha}$ and [N II]/$H{\alpha}$ line ratios in the diffuse ISM.

• Journal of the Korean Chemical Society
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• v.36 no.5
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• pp.738-743
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• 1992

${\alpha}-Arylhydrazonoacylazide(7) was synthesized starting from {\circo}-phenylenediamine(3) in four steps. The tautomeric behavior of {\alpha}-arylhydrazonoacylazide(7) between the hydrazone imine and diazenyl enamine forms in the dimethyl sulfoxide solution was investigated on the basis of the tautomer ratio determined by the ^1H-NMR spectral data. The 1-aryl-3-quinoxalinyl-1,2,4-triazol(8) was synthesized from {\alpha}-arylhydrazonoacylazide(7) by refluxing in benzene.$