• Microbiology and Biotechnology Letters
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• v.25 no.2
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• pp.212-217
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• 1997

A strain of Bacillus sp. WS-14 was isolated from soil. Medium optimization for ${\beta}-mannanase$ production by Bacillus sp. WS-14 was performed. Effect of various carbon sources on ${\beta}-mannanase$ production was investigated and locust bean gum was the most effective for ${\beta}-mannanase$ production. ${\beta}-mannanase$ activity and cell growth increased with increasing the concentration of locust bean gum, however, the amounts were not significant. Among nitrogen sources, soytone was the most effective for ${\beta}-mannanase$ production. Inorganic compounds such as $KH_2PO_4,\;NaCl\;Na_2CO_3\;and\;MgSO_4{\cdot}7H_2O\;on\;{\beta}-mannanase$ production were optimized for ${\beta}-mannanase$ production. Locust bean gum of 10.0 g/l, soytone of 5.0 g/l, $KH_2PO_4$ of 2.0 g/l, NaCl of 10.0 g/l, $MgSO_4{\cdot}7H_2O\;of\;0.2\;g/l,\;Na_2CO_3$, of 2.0 g/l were selected as optimum content. Production of ${\beta}-mannanase$ by using the optimum medium was carried out. The maximum ${\beta}-mannanase$ activity of 20.8 unit/ml could be obtained after 14 h fermentation which corresponed to the productivity of ${\beta}-mannanase$ of 1.48 unit/ml-h.

• East Asian mathematical journal
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• v.31 no.1
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• pp.103-107
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• 2015

We use some known contiguous function relations for $_2F_1$ to show how simply the following three recurrence relations for Jacobi polynomials $P_n^{({\alpha},{\beta)}(x)$: (i) $({\alpha}+{\beta}+n)P_n^{({\alpha},{\beta})}(x)=({\beta}+n)P_n^{({\alpha},{\beta}-1)}(x)+({\alpha}+n)P_n^{({\alpha}-1,{\beta})}(x);$ (ii) $2P_n^{({\alpha},{\beta})}(x)=(1+x)P_n^{({\alpha},{\beta}+1)}(x)+(1-x)P_n^{({\alpha}+1,{\beta})}(x);$ (iii) $P_{n-1}^{({\alpha},{\beta})}(x)=P_n^{({\alpha},{\beta}-1)}(x)+P_n^{({\alpha}-1,{\beta})}(x)$ can be established.

• Communications of the Korean Mathematical Society
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• v.12 no.2
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• pp.355-364
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• 1997

In a Finsler space, we introduce a special $(\alpha,\beta)$-metric L satisfying $L^2(\alpha,\beta) = c_1\alpha^2 + 2c_2\alpha\beta + c_3\beta^2$, which $c_i$ are constants. We investigate the Berwald connection in a Finsler space with this special $\alpha,\beta)$-metric.

• Bulletin of the Korean Chemical Society
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• v.15 no.6
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• pp.428-432
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• 1994

The crystals of ${\beta}-and\;{\beta}'-(ET)_2ICl_2$ have a modified structure of organic superconductor ${\beta}(ET)_2I_3$. These salts possess strictly different physical properties : the ${\beta}$ phase is a metal but the ${\beta}'$ phase is a semiconductor. Our band electronic structure calculations show that the ${\beta}$ phase is somewhat anisotropic 2D metal and the ${\beta}'$ phase with the 1D character in electronic structure is magnetic insulating, in good agreement with experimental indications.

• Microbiology and Biotechnology Letters
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• v.19 no.5
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• pp.444-449
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• 1991

Synthesis of maltosyl-$\beta$-cyclodextrin using maltose ($G_2$) and $\beta$-cyclodextrin ($\beta$-CD) as substrates through the reverse reaction of pullulanase was investigated. The optimal conditions for the condensation reaction were as below: mixing ratio of maltose to $\beta$-CD of 12.7, mixed substrate concentration of 70% (w/w, 70 g/100 ml $H_2O$), and amount of pullulanse of 350 units/100 ml. The concentration of synthesized maltosyl-P-CD concentration was reached up to 2.31 g/100 rnl at above reaction conditions, which corresponded the conversion yield of 43% (w/w, g of branched-CD/g of CD). The synthesis of maltosyl-$\alpha >\gamma >\beta$-CD was also attempted, and conversion yield was in the order of a>y>J3-CDs. Condensation reaction between various maltooligosaccharides ($G-1\sim G_6$ showed that maltose was the most effective oligorner for condensation reaction with $\beta$-CD. To increase the conversion yield various alcohols were added into the reaction mixture, amyl alcohol was found to be the most acceptable alcohol for increasement of convesion yield which increased from 43.0 to 83.0% upon addition of same volume of amyl alcohol into the reaction mixture.

• YAKHAK HOEJI
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• v.37 no.2
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• pp.158-162
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• 1993

6$\beta$-(trans-3-Aryl-5-oxo-pyrrolidin-2-yl)acetamidopenicillanic acid(7a~7c) and 7$\beta$-(trans-3-Aryl-5-oxo-pyrrolidin-2-yl) acetamidocephalosporanic acid(8a~8c) were synthesized and tested in vitro antibacterial activity. Of these new penicillins exhibited good antibacterial activity against Gram-positive bacteria whereas none of the compounds possessed the activity against Gram-negative bacteria at the concentration tested.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.9 no.2
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• pp.91-97
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• 2005

If ${\beta}\;>\;1$, then every non-negative number x has a ${\beta}-expansion$, i.e., $$x\;=\;{\epsilon}_0(x)\;+\;{\frac{\epsilon_1(x)}{\beta}}\;+\;{\frac{\epsilon_2(x)}{\beta}}\;+\;{\cdots}$$ where ${\epsilon}_0(x)\;=\;[x],\;{\epsilon}_1(x)\;=\;[\beta(x)],\;{\epsilon}_2(x)\;=\;[\beta(({\beta}x))]$, and so on ([x] denotes the integral part and (x) the fractional part of the real number x). Let T be a transformation on [0,1) defined by $x\;{\rightarrow}\;({\beta}x)$. It is well known that the relative frequency of $k\;{\in}\;\{0,\;1,\;{\cdots},\;[\beta]\}$ in ${\beta}-expansion$ of x is described by the T-invariant absolutely continuous measure ${\mu}_{\beta}$. In this paper, we show the mod M normality of the sequence $\{{\in}_n(x)\}$.

• KSBB Journal
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• v.11 no.5
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• pp.565-571
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• 1996

Medium optimization for ${\beta}$-mannanase production by Aspergillus oryzae ATCC 2114 was performed. Effect of carbon source (locust bean gum) concentration on ${\beta}$-mannanase production was investigated. Above 20 g/L locust bean gum, a lag time for ${\beta}$-mannanase production was appeared because high concentration of locust bean gum caused high viscosity which made the mixing of medium poor. As the locust bean gum concentration in the medium increased, ${\beta}$-mannanase activity and cell growth increased proportionally. Effect of various nitrogen sources on ${\beta}$-mannanase production was also studied. (NH4)2SO4 and malt extract were the most effective for ${\beta}$-mannanase production among the inorganic nitrogenous compounds and organic nitrogen nutrients. Inorganic compounds such as KH2SO4, NaCl, Na2CO3, and MgSO4, on ${\beta}$-mannanase production were optimized for ${\beta}$-mannanase production. Locust bean gum of 10 g/L, malt extract of 3 g/L, (NH4)2SO4 of 2 g/L, KH2SO4, of 10 g/L were selected as the optimal medium. Culture in a fermentor by using the optimal medium was carried out. Lag time of ${\beta}$-mannanase production was shorter due to the better mixing of the fermentor. The maximum ${\beta}$- mannanase activity of 9.7 unit/mL and specific ${\beta}$-mannanase activity of 1.9 unit/mg-cell could be obtained at 27 hours and the productivity of ${\beta}$-mannanase was 0.36 unit/mL$.$h.

• Journal of Microbiology and Biotechnology
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• v.14 no.6
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• pp.1267-1274
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• 2004

Colostrum contains various kinds of cytokines including TGF-$\beta$ that has potent regulatory effects on cells of the immune system. We compared the levels of TGF-$\beta$1 and TGF-$\beta$2 in bovine and human colostrum. Based on the isoform-specific ELISA, bovine colostrum collected on day 1 post-delivery retained $53.71{\pm}29.55\;ng/ml$ of TGF-$\beta$1 and $40.41{\pm}21.78\;{\mu}g/ml$ of TGF-$\beta$2 (n=4), while in human, $381.45{\pm}158.24\;ng/ml$ of TGF-$\beta$1 and $41.47{\pm}9.63\;ng/ml$ of TGF-$\beta$2 (n=5). Thus, dominant TGF-$\beta$ isoforms were completely opposite between human and bovine colostrum samples. The concentrations of both isoforms declined as lactation proceeded. Biological activities of the colostrum samples were determined using an MV1LU cell line. Consistent with the result from the immunoassay, TGF-$\beta$1 in human and TGF-$\beta$2 in bovine colostrum were responsible for the anti proliferative activity against MV1LU cells. Furthermore, bovine colostrum increased IgA secretion by LPS-stimulated mesenteric lymph node (MLN) cells, and this effect was abrogated by either anti­TGF-$\beta$2 antibody or combined anti-TGF-$\beta$1/$\beta$2 antibody, but not by anti- TGF-$\beta$1 antibody alone. Similarly, TGF-$\beta$2 in bovine colostrum enhanced the Ig germ line (GL) promoter activity, which is the earliest event toward IgA isotype switching. Taken together, these results suggest that TGF-$\beta$ isoforms, differentially expressed in human and bovine colostrum, may promote IgA isotype production in the neonatal intestine.

• Journal of Genetic Medicine
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• v.4 no.2
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• pp.160-166
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• 2007

Purpose : The ${\beta}$-adrenoceptors are pharmacologically classified into ${\beta}_1$-, ${\beta}_2$- and ${\beta}_3$-adrenoceptor. The gene of each subtype has polymorphisms related to their function (${\beta}_1$-adrenoceptor: Ser49Gly, ${\beta}_2$-adrenoceptor: Gln27Glu, ${\beta}_3$-adrenoceptor: Trp64Arg). The objectives of this study were to analyse the allelic and genotypic distribution of the representative polymorphism of ${\beta}$-adrenoceptors in preeclampsia and to investigate whether combined genotype of ${\beta}$-adrenoceptors may be associated with preeclampsia. Methods : Blood samples were collected from a Korean population (159 preeclamptic pregnancies and 168 normotensive pregnancies). The ${\beta}_1$-, ${\beta}_2$- and ${\beta}_3$-adrenoceptor genotypes was determined using polymerase chain reaction-restriction fragment length polymorphism. Results : There were no differences in allelic and genotypic distribution of ${\beta}_1$- and ${\beta}_2$-adrenoceptor polymorphisms between the two groups. However, the Arg allele of ${\beta}_3$-adrenoceptor polymorphism were more frequent in preecalmpsia than in controls (P<0.05, OR=1.57, 95% CI=1.01-2.46). Moreover, prevalence of genotype carrying heterozygote of ${\beta}_3$-adrenoceptor polymorphism was increased in preeclampsia compared with controls (P<0.05, OR 1.76, 95% CI 1.06-2.92). When combination of the three polymorphisms were evaluated, pregnancies with the particular combined genotype that is consisted of heterozygote of ${\beta}_1$-, ${\beta}_3$-adrenoceptor and wild homozygote of ${\beta}_2$-adrenoceptor (Ser/Gly, Gln/Gln, Trp/Arg), showed a significant increase in the risk of preeclampsia (P<0.05, OR=3.01, 95% CI 1.12-8.08). Conclusion : A particular combined genotype (Ser/Gly, Gln/Gln, Trp/Arg) of - adrenoceptors was associated with the risk of preeclampsia.