• Honam Mathematical Journal
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• v.43 no.2
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• pp.183-197
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• 2021

Recently several authors have extended the Beta function by using its integral representation. However, in many cases no expression of these extended functions in terms of classic special functions is known. In the present paper, we introduce a further extension by defining a family of functions G_r,s : ℝ^*₊ → ℂ, with r, s ∈ ℂ and ℜ(r) > 0. For given r, s, we prove that this function satisfies a second-order linear differential equation with rational coefficients. Solving this ODE, we express G_r,s as a combination of confluent hypergeometric functions. From this we deduce a new integral relation satisfied by Tricomi's function. We then investigate additional specific properties of G_r,1 which take the form of new non trivial integral relations involving exponential and error functions. We discuss the connection between G_r,1 and Stokes' first problem (or Rayleigh problem) in fluid mechanics which consists in determining the flow created by the movement of an infinitely long plate. For $r{\in}{\frac{1}{2}}{\mathbb{N}}^*$, we find additional relations between G_r,1 and Hermite polynomials. In view of these results, we believe the family of extended beta functions G_r,s will find further applications in two directions: (i) for improving our knowledge of confluent hypergeometric functions and Tricomi's function, (ii) and for engineering and physics problems.

• Journal of Plant Biotechnology
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• v.37 no.4
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• pp.388-393
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• 2010

Recently, a number of successful research reports are accumulated to increase the carotenoid level in potato tuber such as $\beta$-carotene, precursor of vitamin A and keto-carotenoid like astaxanthin in which is not synthesized in most plants tissue since it does not contain a specific enzyme to add keto-ring in carotenoid molecule. In particular, keto-carotenoids are more interested due to their strong antioxidant activity. Currently, the content of $\beta$-carotene was increased up to 3,600-fold ($47\;{\mu}g/g$ dry weight) when compared to the control potato tuber, parental cultivar for genetic modification. In addition, astaxanthin, one of the major keto-carotenoid was accumulated up to $14\;{\mu}g/g$ dry weight in potato tuber with red color by over expressing the gene encoding $\beta$-carotene ketolase isolated from marine microorganisms. In this article, we summarized carotenogenesis-related genes that have been used for metabolic engineering of carotenoid biosynthetic pathway in potato. Furthermore, strategies for the accumulation of carotenoids and ketocarotenoids in specific potato tuber, bottle necks, and future works are discussed.

• Journal of the Korean Society of Food Science and Nutrition
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• v.44 no.3
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• pp.418-424
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• 2015

The content of ${\beta}$-carotene in agricultural foods, such as seasonings, tea, vegetables, cereals, nuts & seeds, oils & fats, and fruits, were quantitatively analyzed using reversed-phase HPLC with an UV/visible detector. Standard reference material (SRM) 2385 was used as a control material to validate measurement of ${\beta}$-carotene in this study. Recovery percentage and relative standard deviation of ${\beta}$-carotene in SRM 2385 were 102% and 1.73%, respectively. Vegetables and tea contained relatively high concentrations of ${\beta}$-carotene (young barley powder, $17,293.95{\mu}g/100g$; raw young barley, $2,755.15{\mu}g/100g$; dried green tea leaves, $13,671.85{\mu}g/100g$; green tea powder, $7,579.04{\mu}g/100g$). Contents of ${\beta}$-carotene in nuts & seeds as well as oils & fats ranged from $11.32{\mu}g/100g$ in almond products (roasted with salt) to $58.56{\mu}g/100g$ in perilla seed oil. Among 20 fruits, a high content of ${\beta}$-carotene was found in apricots (raw), which contained $2,280.35{\mu}g/100g$.

• Korean Journal of Food Science and Technology
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• v.43 no.2
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• pp.169-175
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• 2011

The ${\beta}$-xylosidase (EC 3.2.1.37) production capabilities of lactic acid bacteria in the genus Leuconostoc, isolated from a variety of kimchi (fermented vegetables), were examined. The intracellular levels of ${\beta}$-xylosidase were similar to the extracellular levels, when most Leuconostoc lactic acid bacteria were grown in a medium containing xylose as the carbon source. Intracellular ${\beta}$-xylosidase with a maximum activity of $1.2{\pm}0.1units/mL$ (mean${\pm}$standard error) was obtained from Leuconostoc lactis KCTC 13344, which was isolated from fermented Chinese cabbage. The optimum reaction conditions for Leu. lactis KCTC 13344 ${\beta}$-xylosidase activity were pH 6.0 and $30^{\circ}C$, and the addition of most divalent cations, except zinc, to the reaction mixture resulted in a slight increase in enzyme activity. Compared with a media containing other carbon sources, the ${\beta}$-xylosidase activity was 5 times higher when Leu. lactis KCTC 13344 was grown in a medium containing xylose as carbon source. Zymographic analysis indicated that the synthesis of Leu. lactis KCTC 13344 ${\beta}$-xylosidase (approximate size, 64 kDa) is induced by xylose. A maximum intracellular ${\beta}$-xylosidase activity of $7.1{\pm}0.3units/mL$ was obtained in a batch cultivation in an MRS medium containing 30 g/L xylose.

• Journal of the Korean Society of Food Science and Nutrition
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• v.46 no.1
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• pp.56-60
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• 2017

Fruiting bodies of Ganoderma lucidum cultivated in Korea were reflux extracted at $90^{\circ}C$ using water and ethanol under different pH conditions. ${\beta}-Glucan$ contents, extraction yield, and antioxidant capacities of extracts were investigated. Antioxidant activities of water and ethanol extracts were measured by DPPH radical scavenging test and the FRAP method, along with their total phenolic contents and total flavonoid contents. Extraction time for the experiment was determined to be 6 h, and ${\beta}-glucan$ contents were the highest. Overall, ${\beta}-glucan$ contents of extracts increased with higher pH values, except those of 90% ethanol extracts (P<0.05). The yields and ${\beta}-glucan$ contents of ethanol extracts were lower than those of water extracts, and highest in water extract at pH 10 ($8.53{\pm}0.17%$, $6.20{\pm}0.12g/100g$, respectively). Ethanol extracts of fruiting bodies of G. lucidum showed stronger antioxidant capacities than water extracts (P<0.05). Especially, total phenolic contents of 30% ethanol extract at pH 10 was highest (35.06 GAE mg/g). Total phenolic contents of water and ethanol extracts showed good correlations with DPPH radical scavenging activities (r=0.969).

• Preventive Nutrition and Food Science
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• v.14 no.3
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• pp.240-245
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• 2009

High-performance liquid chromatography (HPLC) was applied to determine the carotenoid composition of carrots during storage and cooking. Analyses were conducted immediately after harvest and 1, 2, 4, and 8 weeks after harvest. During the course of the storage, the carotenoid levels generally decreased, and this decrease was found to be greater during the first week for $\beta$-carotene (all-trans-$\beta$-carotene) and lutein, and during the second week for $\alpha$-carotene. Additionally, the amount of the $\alpha-$ and $\beta$-carotenes in carrot leaves changed slightly within the first 2 weeks of harvest when stored at $4^{\circ}C$. Specifically, the level of lutein, the main component of carrot leaves, increased from 233.8$\pm$11.7 to $346.2\pm26.7{\mu}g$/g DW during the first 2 weeks. In addition, the change in carotenoid contents was observed during the home-processing of one Korean cultivar. Carrots fried in oil showed the highest amount of $\beta$-carotene ($164.3\pm6.6{\mu}g$/g DW) and $\alpha$-carotene ($50.1\pm0.4{\mu}g$/g DW), while carrots that were prepared by sauteing, pressure-cooking in water and microwaving had the second highest levels. The greatest loss of in carotenoids occurred in response to boiling in water containing 1% NaCl, braising and baking. The content of lutein increased slightly after boiling in water containing 1% NaCl ($9.3\pm0.4{\mu}g$/g DW), while a loss in lutein occurred after preparation using other home-processing methods. A cis-isomer of all-trans-$\beta$-carotene, 13-cis-$\beta$-carotene, was present in detectable amounts in all processed samples, but not in raw roots. Another isomer, 9-cis-$\beta$-carotene, was detected in carrots that were prepared by boiling, frying and pressure-cooking.

• The Korean Journal of Mycology
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• v.40 no.3
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• pp.152-158
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• 2012

The lignocellulytic enzymes including a-amylase (EC 3.2.1.1), lignin peroxidase (EC 1.11.1.14), laccase (EC 1.10.3.2), xylanase (EC 3.2.1.8), ${\beta}$-xylosidase (EC 3.2.1.37), ${\beta}$-glucosidase (EC 3.2.1.21) and cellulase (EC 3.2.1.4) were extracted from spent mushroom compost (SMC) of Pleurotus eryngii. Different extraction buffers and conditions were tested for optimal recovery of the enzymes. The optimum extraction was shaking incubation (200 rpm) for 2 h at $4^{\circ}C$. ${\alpha}$-Amylase was extracted with the productivity range from 1.20 to 1.6 Unit/SMC g. Cellulase was recovered with the productivity range from 2.10 to 2.80 U/gf. ${\beta}$-glucosidase and ${\beta}$-xylosidase productivities showed lowest recovery producing 0.1 U/g and 0.02 U/g, respectively. The P. eryngii SMCs collected from three different mushroom farms showed different recovery on laccase and xylanse, cellulase. Furthermore, the water extracted SMC was compared to commercial enzymes for its industrial application in decolorization and cellulase activity.

• Food Science and Biotechnology
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• v.17 no.1
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• pp.106-113
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• 2008

The antioxidant and anti-inflammatory protective effects of $\beta$-glucan from barley on RAW 264.7 murine macrophage cells induced by lipopolysaccharide (LPS) were examined. The RAW 264.7 murine macrophages were preincubated with various concentrations ($0-200\;{\mu}g/mL$) of $\beta$-glucan and stimulated with LPS to induce oxidative stress and inflammation. The $\beta$-glucan treatments were found to reduce thiobarbituric acid-reactive substance (TBARS) accumulation, and enhance glutathione levels and the activities of antioxidative enzymes, including superoxide dismutase (SOD), catalase, glutathione reductase, and glutathione peroxidase (GSH-px) in the LPS-stimulated macrophages as compared to the LPS-only treated cells. Nitric oxide (NO) production was significantly suppressed in a dose-dependent manner (p<0.05) with an $IC_{50}$ of $104\;{\mu}g/mL$. Further treatment with $\beta$-glucan at $200\;{\mu}g/mL$ suppressed NO production to 2% of the LPS-control, and suppressed the levels of inducible nitric oxide synthase (iNOS) protein and mRNA in a dose-dependent manner. The specific DNA binding activity of nuclear factor ${\kappa}B\;(NF{\kappa}B)$ was significantly suppressed by $\beta$-glucan treatment with an $IC_{50}$ of $220\;{\mu}g/mL$ in a dose-dependent manner. Finally, barley $\beta$-glucan ameliorates NO production and iNOS expression through the down-regulation of $NF{\kappa}B$ activity, which may be mediated by attenuated oxidative stress in RAW 264.7 macrophages.

• Korean Chemical Engineering Research
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• v.43 no.5
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• pp.560-565
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• 2005

Catalytic performances of zeolite catalysts such as H-mordenite(HM), H-Beta$(H{\beta})$, H-USY(HUSY) for the transmethylation between 1-methylnaphthalene(1-MN) and 2-methylnaphthalene(2-MN) were investigated in a fixed-bed flow reactor. $H{\beta}$ showed higher and more stable conversion than others to exhibit a high and stable 2-MN/1-MN ratio of 2.3 and 2,6-DMN/2,7-DMN ratio of 1.3 at the $1^{st}$ hour of time on stream under the reaction conditions as follows: reaction temperature of $350^{\circ}C$, reaction pressure of 1.5 MPa, WHSV of $2.7g_{feed}/g_{cat}{\cdot}h$ and the molar ratio of 1-MN and 2-MN of 1:1. The catalytic behavior has been discussed in relation with the catalyst pore structure and acidity.

• Toxicological Research
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• v.20 no.3
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• pp.205-211
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• 2004

Concern that some chemicals in our environment may affect human health by disrupt-ing normal endocrine function has prompted a research on interactions of environmental contaminants with steroid hormone receptor. Toxaphene and chlordane are among the 12 persistent organic pollutants identified by the United Nations Environment Programme as requiring urgent attention. We compared the estrogenic activity of two organochlorine pesticides, toxaphene and chlordane, at estrogen receptor a (ER$\alpha$) and estrogen receptor $\beta$ (ER$\beta$). Human hepatoma cells (HepG2) were transiently transfected with rat ER$\alpha$ or ER$\beta$ plus an estrogen-responsive complement C3-luciferase (C3-Luc) reporter gene. After transfection, cells were treated with various concentrations of toxaphene and chlordane to investigate agonism or antagonism of these chemicals. Both toxaphene and chlordane were potent agonists in HepG2 cells for ER$\alpha$. In contrast, these chemicals had a minimal agonist activity with ER$\beta$ and almost abolished 17$\beta$-estradiol-induced ER$\beta$-mediated activity. Therefore, toxaphene and chlordane behaved as an ER$\alpha$ agonist and an ER$\beta$ antagonist with estrogen-responsive reporter plasmid C3-Luc, and exposure to these organochlorine pesticides could have a crictical effect on normal endocrine function.