• Title/Summary/Keyword: $1{\alpha}$

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INVERTIBLE INTERPOLATION ON Ax = y IN A TRIDIAGONAL ALGEBRA ALGℒ

  • Kwak, Sung-Kon;Kang, Joo-Ho
    • Honam Mathematical Journal
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    • v.33 no.1
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    • pp.115-120
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    • 2011
  • Given vectors x and y in a separable complex Hilbert space $\cal{H}$, an interpolating operator is a bounded operator A such that Ax = y. We show the following : Let Alg$\cal{L}$ be a tridiagonal algebra on a separable complex Hilbert space H and let x = ($x_i$) and y = ($y_i$) be vectors in H. Then the following are equivalent: (1) There exists an invertible operator A = ($a_{kj}$) in Alg$\cal{L}$ such that Ax = y. (2) There exist bounded sequences $\{{\alpha}_n\}$ and $\{{{\beta}}_n\}$ in $\mathbb{C}$ such that for all $k\in\mathbb{N}$, ${\alpha}_{2k-1}\neq0,\;{\beta}_{2k-1}=\frac{1}{{\alpha}_{2k-1}},\;{\beta}_{2k}=\frac{\alpha_{2k}}{{\alpha}_{2k-1}\alpha_{2k+1}}$ and $$y_1={\alpha}_1x_1+{\alpha}_2x_2$$ $$y_{2k}={\alpha}_{4k-1}x_{2k}$$ $$y_{2k+1}={\alpha}_{4k}x_{2k}+{\alpha}_{4k+1}x_{2k+1}+{\alpha}_{4k+2}x_{2k+2}$$.

Investigation of Alpha 1-Proteinase Inhibitor in Serum and Specimen of Lung Cancer Patients (폐암 환자의 혈청과 조직 표본상에서 Alpha 1-Proteinase Inhibitor의 조사 연구)

  • 김송명
    • Journal of Chest Surgery
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    • v.27 no.5
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    • pp.364-373
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    • 1994
  • Alpha 1-Proteinase inhibitor[PI] was known as a major protective enzyme against to excessive hydrolytic and proteolytic reaction. So, it was suggested that Alpha 1-PI may implicated in growth of bronchogenic cancer. This study was undertaken to investigate the role of Alpha 1-PI in local invasion of bronchogenic cancer. Three groups of patients were studied; Preliminary research group of 15 bronchogenic cancer patients, Main research group of 13 bronchogenic cancer patients and Normal control group of 10 nephrectomy donor. Serum Alpha 1-PI level was observed in each group of patients during pre-and postoperative days. Pre-operative serum Alpha 1-PI level in preliminary research group [329.2$\pm$14.21mg/dl]and main research group[406.2$\pm$39.30mg/dl] were higher than in normal control group[236.2$\pm$19.55mg/dl] significantly[p<0.005]. Serial Alpha 1-PI level in each group during pre-and postoperative days shows peaked at 3rd. postoperative day in preliminary and main research group, thereafter decreased gradually. Immunohistochemical study for Alpha 1-antitrypsin[A1AT] was carried out by ABC[avidin-biotin peroxidase complex] method using Alpha-1 antitrypsin DAKOR to tumor tissues of 13 lung cancer patients in main research group. 6 cases[46.2%, squamous cell ca.;5, adenocarcinoma;1] of above 13 cases show positive immunoreactivity for A1AT. In conclusion, alpha 1-PI and elastase are disclosed that have defined actions for lung cancer growing or spreading.

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Pre- and Postoperative Changes of Serum Levels of Slpha 1-proteinase Inhibitor in Patients with Bronchogenic Cancer (폐암 환자에서의 폐엽절제술 전후의 혈청 Alpha 1-Proteinase Inhibitor의 변화)

  • 이재성
    • Journal of Chest Surgery
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    • v.28 no.3
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    • pp.221-227
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    • 1995
  • Malignancy is one of the several exogenous and endogenous factors that increase serum alpha 1-PI. In fact, serum levels of alpha 1-PI were significantly elevated in the patients with the nonresectable bronchogenic cancer. the purpose of this work was to determine if the immediate postoperative change of serum alpha 1-PI level following tumor resection relates to the patient`s postoperative course. Clinical experimental study was carried out to investigate the postoperative changes of serum alpha 1-PI level following operation for 20 cases of bronchogenic cancer and 10 cases of control, nephrectomy patients Alpha 1-PI concentrations in serum was quantitated by use of radial immunodiffusion technique.The results were as follows ; Preoperative serum level of alpha 1-PI was significantly elevated in patients with bronchogenic cancers [p < 0.001 , when compared to normal control levels. Immediate postoperative serum alpha 1-PI level was significantly increased in patients with bronchogenic cancer [p < 0.05 , but slightly decreased at control groups. The peak serum level of alpha 1-PI was the postoperative three days, and then gradually decreased at the 5, 9, 14 days, but slightly elevated comparing to preoperative alpha 1-PI levels. Serum alpha 1-PI level in patients with adenocarcinoma was elevated, when compared to squamous cell carcinoma, but not significantly. According to the stages of the bronchogenic cancer, each levels of the serum alpha 1-PI were slightly different, but the whole postoperative changes were the general similarity. There were no significant difference in changes of the serum alpha 1-PI level, according to the operative procedures. As the alpha 1-PI is acute reactant, that it was required at the reoperative state of the bronchogenic cancer and rapid response, consumption or requirement were occurred, postoperatively. Therefore, alpha 1-PI can be perioperative indicator for the evaluation of the bronchogenic cancer.

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Studies on Milk Protein by Zone Electrophoresis (대전기영동법(帶電氣泳動法)에 의한 유청단백질(乳淸蛋白質)에 관(關)한 연구(硏究))

  • Cho, Duk-Bong;Nam, Hyun-Keun
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.5 no.1
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    • pp.25-30
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    • 1976
  • In this investigation, the physico-chemical properties of Korean cattles milk and Holstein cows milk are studied. The results of the milk -protein of F-1, F-2, and F-4 hybrid are interested in this studied. 1. The physico-chemical properties of Korean cattle and Holstein cows milk is summarized at Table 1, Table 2. 2. The electrophoretic milk protein fraction of Korean cattle is identified : Lactoalbumin 1.74mg%. Alpha-1 globulin 1.19mg%, Alpha-2 globulin 0.68mg%, Beta-globulin 2.57mg%, Gamma-globulin 0.93mg%. 3. The electrophoretic milk protein fraction of Holstein cow : Lactoalbumin 1.23mg%, Alpha-1 globulin 0.93mg%, Alpha-2 globulin 0.86mg%, Bata-globulin 2.56mg%, Gamma-globulin 1.74mg% have been identified. 4. The electrophoretic milk protein fraction of hybrid F-1, F-2, and F-4 between Korean cattle(female) and Holstein(male) is obtained the following : F-1 hybrid : Lactoalbumin 1.38mg%, Alpha-1 globulin 1.58mg%, Alpa-2 globulin 2.46mg%, Beta-globulin 1.39mg%. F-2 hybrid : Lactoalbumin 1.57mg%, Alpha-1 globulin 1.74mg%, Alpha-2 globulin 2.19mg%, Beta-globulin 1.74mg%. F-4 hybrid : Lactoalbumin 2.46mg%, Alpha-1 globulin 1. 24mg%, Alpha-2 globulin 1.57㎎%, Beta-globulin 1.74mg%.

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Effects of Steroids and HCG on in vitro Maturation and Ovulation of Oocyte in Banded Catfish, Pseudobagrus fulvidraco (동자개 (Pseudobagrus fulvidraco)의 난모세포 성숙과 배란에 대한 스테로이드와 HCG의 in vitro효과)

  • LIM Sang-Koo;BAEK Hea-Ja;HAN Chang-Hee
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.30 no.2
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    • pp.203-210
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    • 1997
  • The aim of this study was to determine the effect of steroids and human chorionic gonadotropin (HCG) on in vitro maturation and ovulation of oocyte in Pseudobagrus fulvidraco. Oocytes were incubated in the media Leibovitz L15 supplemented with the various concentration of $17\alpha,\;20\beta-dihydroxy-4-pregnen-3-one(17\alpha20{\beta}OHP),\;17\alpha-hydroxyprogesterone(17{\alpha}OHP),\;progesterone(P_4),\;estradiol-17\beta(E_2)and\;HCG$. After 60 hours incubation, the maturation ability of oocyte was assessed by the appearance of germinal vesicle breakdown (GVBD). GVBD was significantly enhanced by the addition of $17\alpha20{\beta}OHP,\;17{\alpha}OHP,\;P_4\;and\;HCD(P<0.05)$. The highest CVBD was observed when $17\alpha20{\beta}OHP$ and HCG were supplemented to media. When oocytes were cultured for 16 hours in media containing $10\~1,000\;ng/ml\;17\alpha20{\beta}OHP,\;17{\alpha}OHP\;and\;P_4$, the rate of GVBD in oocytes cultured in the medium supplemented with 100 ng/ml $17\alpha20{\beta}OHP(65\%)$ was significantly higher than that with $17{\alpha}OHP\;(40\%)\;and\;P_4(35\%)$. The efforts of $17\alpha20{\beta}OHP$ and HCG on GVBD were assessed by various concentration of these hormones. When oocytes were cultured for 60 hours in various media containing $1\~1,000\;ng/ml\;17{\alpha}20{\beta}OHP\;or\;5\~1,000\;IU/ml$ HCG, the GVBD of oocytes was significantly increased in the medium with $10\~100\;ng/ml\;17\alpha20{\beta}OHP$ and 500 IU/ml HCT. When oocytes were cultured in the various media supplemented with $1\~1,000\;ng/ml\;17\alpha20{\beta}OHP\;or\;5\~1,000\;IU/ml$ HCG for 60 hours, the media with $1\~100\;ng/ml\;17\alpha20{\beta}OHP\;or\;50\~1,000IU/ml$ HCG significantly increased in the rate of ovulation. However supplementation with $1,000\;ng/ml\;17\alpha20{\beta}OHP$or 5 IU/ml HCG did not improve the rate of ovulation compared to controls. This results indicate that supplementation of steroid and HCG except $E_2$ can improve the in vitro maturation and ovulation of oocyte in P. fulvidrac; HCG and $17\alpha20{\beta}OHP$ may be more effective than other steroids on oocyte maturation and ovulation in P. fulvidraco.

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AUTOCOMMUTATORS AND AUTO-BELL GROUPS

  • Moghaddam, Mohammad Reza R.;Safa, Hesam;Mousavi, Azam K.
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.4
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    • pp.923-931
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    • 2014
  • Let x be an element of a group G and be an automorphism of G. Then for a positive integer n, the autocommutator $[x,_n{\alpha}]$ is defined inductively by $[x,{\alpha}]=x^{-1}x^{\alpha}=x^{-1}{\alpha}(x)$ and $[x,_{n+1}{\alpha}]=[[x,_n{\alpha}],{\alpha}]$. We call the group G to be n-auto-Engel if $[x,_n{\alpha}]=[{\alpha},_nx]=1$ for all $x{\in}G$ and every ${\alpha}{\in}Aut(G)$, where $[{\alpha},x]=[x,{\alpha}]^{-1}$. Also, for any integer $n{\neq}0$, 1, a group G is called an n-auto-Bell group when $[x^n,{\alpha}]=[x,{\alpha}^n]$ for every $x{\in}G$ and each ${\alpha}{\in}Aut(G)$. In this paper, we investigate the properties of such groups and show that if G is an n-auto-Bell group, then the factor group $G/L_3(G)$ has finite exponent dividing 2n(n-1), where $L_3(G)$ is the third term of the upper autocentral series of G. Also, we give some examples and results about n-auto-Bell abelian groups.

Antihypertensive Effect of $\alpha-Methyldopa$ Administered Concurrent with Timolol or Labetalol in SHR. (SHR에 $\alpha-Methyldopa$를 Timolol 또는 Labetalol과 병용투여시 혈압강하효과에 관한 연구)

  • 김종기;허인회;김재완
    • YAKHAK HOEJI
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    • v.25 no.2
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    • pp.57-64
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    • 1981
  • The antihypertensive effect of $\alpha-Methyldopa$ administered concurrently with timolol or labetalol were studied with spontaneously hypertensive rats (SHR). Every drugs were administered orally once a day after prechecking the systolic blood pressure and heart rate of SHR. The blood pressure and heart rate of SHR were significantly decreased in groups of combination while those of non-combination groups were fallen slightly. Compared with control group, the significant changes of blood pressure was obseved in group of $\alpha-methyldopa$ with timolol(100mg+2mg/kg)and $\alpha-methyldopa$ with labetalol (100mg+12.5mg/kg). The group of $\alpha-methyldopa$ with timolo 1 (100mg + 1.0mg/kg) reduced blood Pressure in similar degree as manifested in group of $\alpha-methyldopa$ with labetalol (100mg + 50mg/kg). In the group that $\alpha-methyldopa$ was administered concurrently with timolol, the maximum antihypertensive effect and heart rate decreasing effect were appeared after 3hr and 1hr of administration respectively and those effects in group of $\alpha-methyldopa$ with labetalol were appeared after 6hr of administration. The acute oral toxicity test was performed using albino mice with $\alpha-methyldopa$ alone, $\alpha-methyldopa$ with timolol (100:1) and $\alpha-methyldopa$ with labetatol (4:1), and was found that the $LD_{50}$ of $\alpha-methyldopa$ alone was 1104 mg/kg, $\alpha-methyldopa$ with timolol (100:1) was 1115 mg/kg and $\alpha-methyldopa$ with labetalol (4:1) was 354mg/kg.

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INVERTIBLE INTERPOLATION ON AX = Y IN A TRIDIAGONAL ALGEBRA ALG𝓛

  • JO, YOUNG SOO;KANG, JOO HO;PARK, DONG WAN
    • Honam Mathematical Journal
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    • v.27 no.2
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    • pp.243-250
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    • 2005
  • Given operators X and Y acting on a separable Hilbert space ${\mathcal{H}}$, an interpolating operator is a bounded operator A such that AX = Y. We show the following: Let ${\mathcal{L}}$ be a subspace lattice acting on a separable complex Hilbert space ${\mathcal{H}}$. and let $X=(x_{ij})$ and $Y=(y_{ij})$ be operators acting on ${\mathcal{H}}$. Then the following are equivalent: (1) There exists an invertible operator $A=(a_{ij})$ in $Alg{\mathcal{L}}$ such that AX = Y. (2) There exist bounded sequences {${\alpha}_n$} and {${\beta}_n$} in ${\mathbb{C}}$ such that $${\alpha}_{2k-1}{\neq}0,\;{\beta}_{2k-1}=\frac{1}{{\alpha}_{2k-1}},\;{\beta}_{2k}=-\frac{{\alpha}_{2k}}{{\alpha}_{2k-1}{\alpha}_{2k+1}}$$ and $$y_{i1}={\alpha}_1x_{i1}+{\alpha}_2x_{i2}$$ $$y_{i\;2k}={\alpha}_{4k-1}x_{i\;2k}$$ $$y_{i\;2k+1}={\alpha}_{4k}x_{i\;2k}+{\alpha}_{4k+1}x_{i\;2k+1}+{\alpha}_{4k+2}x_{i\;2k+2}$$ for $$k{\in}N$$.

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Knock-in Somatic Cells of Human Decay Accelerating Factor and α1,2-Fucosyltransferase Gene on the α1,3-Galactosyltransferase Gene Locus of Miniature Pig (α1,3-Galactosyltransferase 유전자 위치에 사람 Decay Accelerating Factor와 α1,2-Fucosyltransferase 유전자가 Knock-in된 미니돼지 체세포)

  • Kim, Ji Woo;Kang, Man-Jong
    • Reproductive and Developmental Biology
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    • v.39 no.3
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    • pp.59-67
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    • 2015
  • Galactose-${\alpha}1,3$-galactose (${\alpha}1,3$-Gal) epitope is synthesized at a high concentration on the surface of pig cells by ${\alpha}1,3$-galactosyltransferase gene (GGTA1). The ${\alpha}1,3$-Gal is responsible for hyperacute rejection in pig-to-human xenotransplantation. The generation of transgenic pigs as organ donors for humans is necessary to eliminate the GGTA1 gene that synthesize $Gal{\alpha}$(1,3)Gal. To prevent hyperacute graft rejection in pig-to-human xenotransplantation, previously, we developed ${\alpha}1,3$-galactosyltransferase gene-knock-out somatic cell by homologous recombination. In this study, we established cell lines of ${\alpha}1,3$-GT knock-out expressing hDAF and hHT gene from minipig fibroblasts to apply somatic cell nuclear transfer. The hDAF and hHT mRNA were expressed in the knock-in somatic cells and ${\alpha}1,3$-GT mRNA was suppressed. However, the knock-in somatic cells were increased resistance to human serum-mediated cytolysis.

Synthesis of -4,9-Dione Derivatives (벤조-[f]-인돌-4, 9-디온 유도체의 합성)

  • Lee, Ji-Young;Suh, Myung-Eun
    • YAKHAK HOEJI
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    • v.34 no.1
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    • pp.15-21
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    • 1990
  • -4,9-dione derivatives were prepared from $2-chloro-3-({\alpha}-accetyl-{\alpha}-ethoxycarbonyl-methyl)-1,4-naphthoquinone$ and 2-chloro-3-N-phenylamino-1,4-naphthoquinone. $2-Chloro-3-({\alpha}-acetyl-{\alpha}-ethoxycarbonyl-methyl)-1,4-naphthoquinone$ was reacted with amines to give $2-amino-3-({\alpha}-acetyl-{\alpha}-ethoxycarbonyl-methyl)-1,4-naphthoquinone$ derivatives. Subsequent treatment of $2-amino-3-({\alpha}-acetyl-{\alpha}-ethoxycarbonyl-methyl)-1,4-naphthoquinone$ with sodium ethoxide gave -4,9-dione derivatives. When 2-chloro-3-N-phenylamino-1,4-naphthoquinone reacted with sodium ${\alpha}-cyano$ ethyl acetate, 2-amino-3-ethoxycarbonyl-N-phenyl--4,9-dione was obtained. However, with sodium diethyl malonate, not -4,9-dione but 2-chloro-3-bis-(methoxycarbonyl)-methyl-2H-3-N-phenylamino-1,4-naphthoquinone was obtained.

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