• Title/Summary/Keyword: 2iP

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CHARACTERIZATION OF FUNCTIONS VIA COMMUTATORS OF BILINEAR FRACTIONAL INTEGRALS ON MORREY SPACES

  • Mao, Suzhen;Wu, Huoxiong
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.4
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    • pp.1071-1085
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    • 2016
  • For $b{\in}L^1_{loc}({\mathbb{R}}^n)$, let ${\mathcal{I}}_{\alpha}$ be the bilinear fractional integral operator, and $[b,{\mathcal{I}}_{\alpha}]_i$ be the commutator of ${\mathcal{I}}_{\alpha}$ with pointwise multiplication b (i = 1, 2). This paper shows that if the commutator $[b,{\mathcal{I}}_{\alpha}]_i$ for i = 1 or 2 is bounded from the product Morrey spaces $L^{p_1,{\lambda}_1}({\mathbb{R}}^n){\times}L^{p_2,{\lambda}_2}({\mathbb{R}}^n)$ to the Morrey space $L^{q,{\lambda}}({\mathbb{R}}^n)$ for some suitable indexes ${\lambda}$, ${\lambda}_1$, ${\lambda}_2$ and $p_1$, $p_2$, q, then $b{\in}BMO({\mathbb{R}}^n)$, as well as that the compactness of $[b,{\mathcal{I}}_{\alpha}]_i$ for i = 1 or 2 from $L^{p_1,{\lambda}_1}({\mathbb{R}}^n){\times}L^{p_2,{\lambda}_2}({\mathbb{R}}^n)$ to $L^{q,{\lambda}}({\mathbb{R}}^n)$ implies that $b{\in}CMO({\mathbb{R}}^n)$ (the closure in $BMO({\mathbb{R}}^n)$of the space of $C^{\infty}({\mathbb{R}}^n)$ functions with compact support). These results together with some previous ones give a new characterization of $BMO({\mathbb{R}}^n)$ functions or $CMO({\mathbb{R}}^n)$ functions in essential ways.

Insulin-Like Growth Factor-I Induces Androgen Receptor Coactivator Expression in Skeletal Muscle Cells through the p38 MAPK and ERK1/2 Pathways (C2C12 세포에서 insulin-like growth factor-I이 p38 MAPK, ERK1/2 신호전달 경로를 통해 엔드로젠 수용체 coactivator 발현에 미치는 영향)

  • Park, Chan-Ho;Kim, Hye-Jin;Kim, Tae-Un;Lee, Won-Jun
    • Journal of Life Science
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    • v.21 no.2
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    • pp.242-250
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    • 2011
  • Although insulin-like growth factor-I (IGF-I) and androgen receptor (AR) coactivators are well known effectors of skeletal muscle, the molecular mechanism by which signaling pathways integrating AR coactivators and IGF-I in skeletal muscle cells has not been previously examined. In this study, the effects of IGF-I treatment on the gene expression of AR coactivators in the absence of AR ligands and the roles of the p38 MAPK and ERK1/2 signaling pathways in IGF-I-induced AR coactivators induction were examined. C2C12 cells were treated with 250 ng/ml of IGF-I in the presence or absence of specific inhibitors p38 MAPK (SB203580) or ERK1/2 (PD98059). Treatment of C2C12 cells with IGF-I resulted in increased in GRIP-1, SRC-1, and ARA70 protein expression. The levels of GRIP-1, SRC-1, and ARA70 mRNA were also significantly increased after 5min of IGF-I treatment. IGF-I-induced AR coactivator proteins were significantly blocked by pharmacological inhibitors of p38 MAPK and ERK1/2 pathways. However, there was no significant effect of those inhibitors on IGF-I-induced mRNA level of AR coactivators, suggesting that AR coactivators are post-transcriptionally regulated by IGF-I. Furthermore, the present results suggest that IGF-I stimulates the expression of AR coactivators by cooperative activation of the p38 MAPK and ERK1/2 pathways in C2C12 mouse skeletal muscle cells.

Dimeric Silver(I) Complex: Bis(dipropyldithiophosphato) bis(1,10-phenanthroline) Disilver(I); Dimeric Silver(I) Complex: Bis(dipropyldithiophosphato) bis(1,10-phenanthroline) Disilver(I);Ag2[Phen]2[S2P(OPr)2]2 (은(I)화합물:비스(디프로필디싸이오포스페이토)비스(1,10-펜안트로린)이온(I);Ag2[Phen]2[S2P(OPr)2]2)

  • Fang Fang Jian;Hai Lian Xiao;Huan Xiang Wang;Kui Jiao
    • Journal of the Korean Chemical Society
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    • v.47 no.1
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    • pp.26-30
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    • 2003
  • The dinuclear $Ag_2[Phen]_2[S_2P(OPr)_2]_2$(phen=1,10-phenanthroline; Pr=propyl), was prepared by the reaction of bis(dipropyldithiophosphato) silver(I) complex with 1,10-phenanthroline ligand, and its structure was determined by X-ray crystallography. The two dipropyldithiophosphato ligands each bridge two silver atoms to form an eight-membered $Ag_2S_4P_2$ ring, while the 1,10-phenanthroline molecule coordinates to a silver atom to complete the local tetrahedral geometry for the metal ion. The Ag-S bond distances are 2.559(1) and 2.567(1)${\AA}$, and the Ag-N bond distances are 2.366(3) and 2.471(3)${\AA}$.

Characteristics of Parathion Hydrolase by Pseudomonas rhodesiae H5 (Pseudomonas rhodesiae H5가 생산하는 Parathion Hydrolase의 특성)

  • Yun Nam Kyung;Park Kyeong Ryang
    • Korean Journal of Microbiology
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    • v.40 no.3
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    • pp.199-204
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    • 2004
  • The parathion hydrolase (OPH) produced by Pseudomonas rhodesiae H5 was purified by ammonium sulfate precipitation, DEAE-Toyopearl 650M ion exchange chromatography and Sephadex gel filtration chromatography. Parathion hydrolase from crude extracts of P. rhodesiae H5 has two components designated as OPH $I_1$ and OPH $I_2$, Optimum pH and temperature of OPH $I_1$and OPH $I_2$ were pH 7.2 and $30^{\circ}C$, and pH 7.6 and $37^{\circ}C$, respectively. The activation energy of OPH $I_1$ for the hydrolysis of parathion was 3.01 ㎉/I, II, III in the temperature range of $4^{\circ}C$ to $30^{\circ}C$, and Michaelis constant ($K_m$) for parathion was 69.2 ${\mu}M$. The activation energy of OPH $I_2$ for the hydrolysis of parathion was 4.07㎉/㏖ in the temperature range of $4^{\circ}C$ to $37^{\circ}C$, and Michaelis constant for parathion was 150.9${\mu}M$. Furthermore OPH $I_1$ was completely inhibited by 1 mM $Ca^2+$, $Cu^2+$, $Mg^2+$, $Ni^2+$, but OPH $I_2$ was less inhibited than OPH $I_1$ by the metals used in this study.

Genetic Variants of the Blood Proteins and Enzymes in Beef Cattle (육우의 혈액단백질 및 효소의 유전적 변이체)

  • Sang, Byung Chan;Ryoo, Seung Heue;Sang, Byung Don
    • Korean Journal of Agricultural Science
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    • v.22 no.1
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    • pp.69-81
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    • 1995
  • This study was conducted to examine the genetic variants of the blood proteins and enzymes in beef cattle breeds, Hereford, Angus and Sharolais reared at the Daekwanryuong Branch of the National Livestock Research Institute. Genetic polymorphisms of transferrin(Tf), post-transferrin2(pTf-2), albumin(Alb), post-albumin (pAlb), ceruloplasmin(Cp), amylase-I(Am-I) and hemoglobin(Hb) in blood were analyzed by the methods of PAGE(polyacrylamide gel electrophoresis) and STAGE(starch gel electrophoresis). The results obtained from this study were summarized as follows: 1. Tf and pTf-2 locus assumed to be controlled by codominant alleles, A. $D_1$, $D_2$ and E allele for Tf, F and S allele for pTf-2. In genotype frequencies, 25% and 90% for Tf $D_1D_2$ and pTf-2 SS in Hereford, 25% and 100% for Tf $AD_1$ and pTf-2 FF in Angus, 50% for Tf $D_1D_1$ and pTf-2 FS in Sharolais were found to have the highest frequency, respectively. In gene frequencies, 0.400 and 0.900 for Tf E and pTf-2 S allele in Hereford, 0.678 and 0.607 for Tf $D_1$ and pTf-2S in Sharolais were appeared to have the highest frequency. 2. Alb and pAlb locus assumed to be controlled by codominant alleles, only A allele for Alb, F and S allele for pAlb. In genotype frequencies, 70% for pAlb SS in Hereford, 90% for pAlb FF in Angus and 57.15% for pAlb SS in Sharolais were found to have the highest frequency. In gene frequencies, 0.825 and 0.750 for pAlb S in Hereford and Charolais, 0.900 for pAlb F in Angus were found to have the highest frequency. 3. Cp and Am-I locus appeared to be controlled by two alleles, F and S allele for Cp, B and C allele for Am-I. In genotype frequencies, 100% and 65% for Cp FF and Am-I BB in Hereford, 45% and 85% for Cp FF, and Am-I CC in Angus, 50% and 64.29% for Cp FF and Am-I BC in Sharolais were found to have the highest frequency. Gene frequencies were 1,000, 0.600 and 0.750 for Cp F in Herehord, Angus and Sharolais, 0.800, 0.875 and 0.680 for Am-I B, C and C allele in Hereford, Angus and sharolais, respectively. 4. Hb locus assumed to be controlled by codominant alleles, only A allele in Hereford and Angus, A and B allele in Sharolais. Genotype frequencies were 57.14% and 42.86% for Hb AA and AB in Sharolais, and gene frequencies were 0.785 and 0.215 for Hb A and B in Sharolais.

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Studies on the Development of Iodine Recovery Process with High Yield and Purity from NH4I Solution (NH4I 용액으로부터 고효율/고순도의 요오드 회수 공정개발에 관한 연구)

  • Yoon, Jong Sun;Lim, Seong Bin;Oh, Se Yong
    • Applied Chemistry for Engineering
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    • v.26 no.3
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    • pp.377-380
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    • 2015
  • In this paper, we have investigated the optimization of $I_2$ recovery process from $NH_4I$ solution, which is generated as by-product during the amination reaction of p-diiodobenzene (PDIB) for p-phenylenediamine (PPD) synthesis. The recovered $I_2$ is then recycled as a raw material for PDIB synthesis. We have employed a cation exchange resin to recover $I_2$ from $NH_4I$ sample solution, and determined the breakthrough point and exchange capacity from the breakthrough curve. Furthermore, we have suggested optimum conditions of our $I_2$ recovery process by measuring the purity and yield of recovered $I_2$ with respect to the concentrations of $NH_4I$ and oxidant ($H_2O_2$) solutions, the oxidation time, and the temperature of drying process. Finally, the yield and purity as high as 94.96% and 96.65%, respectively were obtained by reusing the residual solution still containing unrecovered iodide ions.

α1-adrenoceptor stimulation increases intracellular pH and Na+ via Na+-H+ exchange in guinea pig papillary muscle (기니픽 유두근에서 α1-adrenoceptor 자극에 의한 세포내 pH와 Na+ 증가는 Na+-H+ 교환기를 경유)

  • Kim, Jin-sang
    • Korean Journal of Veterinary Research
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    • v.35 no.2
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    • pp.229-236
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    • 1995
  • The effect of ${\alpha}_1$-adrenoceptor(${\alpha}_1$-AR) stimulation on intracellular pH($pH_i$), $Na^+$ activity($a_{Na}{^i}$) and contractility were investigated in isolated papillary muscles of euthyroid or hyperthyroid guinea pig with conventional microelectrode, $Na^+$ or $H^+$-selective microelectrodes, and tension transducer. Stimulation of the ${\alpha}_1$-AR by phenylephrine produced a decrease in $a_{Na}{^i}$ in euthyroid preparations. This decrease in $a_{Na}{^i}$ was abolished in presence of PKC activator, phorbol dibutyrate, and increased contrary to decrease. Phenylephrine also increased $a_{Na}{^i}$ in hyperthyroid ones. However, phenylrephtine produced an increase in $pH_i$ in both euthyroid and hyperthyroid ones. These changes were blocked by prazosin, an antagonist of ${\alpha}_1$-AR. These findings suggest that the changes in $a_{Na}{^i}$ and $pH_i$ are mediated by a stimulation of $Na^+-H^+$ exchange via ${\alpha}_1$-AR stimulation. This study focused on the increase in $a_{Na}{^i}$, $pH_i$ and contractility. The increase in $pH_i$ was blocked by amiloride or EIPA, $Na^+-H^+$ exchange inhibitors. Therefore, the increase in $a_{Na}{^i}$ and $pH_i$ mediated by ${\alpha}_1$-AR appeared to be due to an influx of $Na^+$ and a reduction of $H^+$ through $Na^+-H^+$ exchange. This study also revealed that the increase in $pH_i$ and $a_{Na}{^i}$ might be related to the sustained positive inotropic response. The $a_{Na}{^i}$ increase may contribute to the intracellular $Ca^{2+}$ through the $Na^+-Ca^{2+}$ exchange, and the $pH_i$ increase could cause an increase in the $Ca^{2+}$ sensitivity of myofilaments and may augment the ${\alpha}_1$-AR-mediated positive inotropic response.

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Human Cytomegalovirus Replication and $Ca^{2+}$ Response in Human Cell Lines of Neuronal Origin (신경세포에서의 Human Cytomegalovirus 증식과 이에 따른 세포내 유리칼슘 농도 변화)

  • Kang, Kyung-Hee;Lee, Chan-Hee
    • The Journal of Korean Society of Virology
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    • v.26 no.1
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    • pp.1-8
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    • 1996
  • Human cytomegalovirus (HCMV) replication and $Ca^{2+}$ response in human cell lines of neuronal origin were investigated. SK-N-SH (neuroblastoma cells) and A172 cells (glioblastoma cells) were used. SK-N-SH cells were permissive for HCMV multiplication with a delay of one day compared to virus multiplication in human embryo lung (HEL) cells. The delay of HCMV multiplication in SK-N-SH cells appeared to be correlated with a delay in the $Ca^{2+}$ response. The cytoplasmic free $Ca^{2+}$ concentration ($[Ca^{2+}]_i$) began to increase at 12 h p.i. in HCMV-infected SK-N-SH cells, while $[Ca^{2+}]_i$ increase in HCMV-infected HEL cells was observed as early as 3 h p.i. On the whole, the level of the increase in $[Ca^{2+}]_i$ in SK-N-SH cells was about 30% of that in HEL cells. On the other hand, in A172 cells infected with HCMV, neither production of infectious virus nor detectable increase in $[Ca^{2+}]_i$ was observed. Treatment with TPA of HCMV-infected SK-N-SH cells resulted in $[Ca^{2+}]_i$ increase at 6 h p.i. The stimulatory effect of TPA on HCMV- induced $[Ca^{2+}]_i$ increase continued until 12 h p.i., but TPA failed to stimulate the $Ca^{2+}$ response in SK-N-SH cells at 24 h p.i., suggesting that the effect of TPA had disappeared in SK-N-SH cells at that time point. In conclusion, SK-N-SH cells are permissive for HCMV replication and the delay in $Ca^{2+}$ response may be a consequence of the lower responsiveness of SK-N-SH cells than HEL cells to HCMV infection.

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ON THE NORM OF THE OPERATOR aI + bH ON Lp(ℝ)

  • Ding, Yong;Grafakos, Loukas;Zhu, Kai
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.1209-1219
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    • 2018
  • We provide a direct proof of the following theorem of Kalton, Hollenbeck, and Verbitsky [7]: let H be the Hilbert transform and let a, b be real constants. Then for 1 < p < ${\infty}$ the norm of the operator aI + bH from $L^p(\mathbb{R})$ to $L^p(\mathbb{R})$ is equal to $$\({\max_{x{\in}{\mathbb{R}}}}{\frac{{\mid}ax-b+(bx+a){\tan}{\frac{\pi}{2p}}{\mid}^p+{\mid}ax-b-(bx+a){\tan}{\frac{\pi}{2p}}{\mid}^p}{{\mid}x+{\tan}{\frac{\pi}{2p}}{\mid}^p+{\mid}x-{\tan}{\frac{\pi}{2p}}{\mid}^p}}\)^{\frac{1}{p}}$$. Our proof avoids passing through the analogous result for the conjugate function on the circle, as in [7], and is given directly on the line. We also provide new approximate extremals for aI + bH in the case p > 2.