• Title/Summary/Keyword: $L^1$-convergence

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Γ-CONVERGENCE FOR AN OPTIMAL DESIGN PROBLEM WITH VARIABLE EXPONENT

  • HAMDI ZORGATI
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.27 no.4
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    • pp.296-310
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    • 2023
  • In this paper, we derive the Γ-limit of functionals pertaining to some optimal material distribution problems that involve a variable exponent, as the exponent goes to infinity. In addition, we prove a relaxation result for supremal optimal design functionals with respect to the weak-∗ L(Ω; [0, 1])× W1,p0 (Ω;ℝm) weak topology.

Anti-diabetic effects of Allium tuberosum rottler extracts and lactic acid bacteria fermented extracts in type 2 diabetic mice model (제2형 당뇨질환모델 db/db 마우스에서 부추 추출물 및 유산균 발효물의 항당뇨 효과)

  • Kim, Bae Jin;Jo, Seung Kyeung;Jeong, Yoo Seok;Jung, Hee Kyoung
    • Food Science and Preservation
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    • v.22 no.1
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    • pp.134-144
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    • 2015
  • The anti-diabetic effects of Allium tuberosum Rottler extracts (ATE) and ATE fermented with lactic acid bacteria in db/db mice were evaluated. The electron donating activity of ATE fermented with Lactobacillus plantarum, and Lactobacillus casei, respectively, increased compared to that of ATE, but the superoxide radical scavenging activity of the ATE incubated with L. plantarum decreased. The superoxide radical scavenging activity of the ATE fermented with both L. plantarum and L. casei was similar to that of the ATE. Therefore, fermented ATE (FATE) was prepared for in vivo testing by incubating it with both L. plantarum and L. casei. The db/db mice were divided into six groups: normal (non-diabetic mice), diabetic control (DM), and four experimental groups administered 200 or 400 mg/kg/day ATE (ATE200 and ATE400) and 200 or 400 mg/kg/day FATE (FATE200 and FATE400). Weight gain was significantly inhibited in the FATE200 group compared with that in the other db/db mice groups (p<0.05). The areas under the curve of the ATE400 and FATE400 groups were significantly smaller than that of the DM group in the glucose tolerance evaluation. The serum glucagon-like peptide-1 levels in the ATE400 and FATE400 groups increased. These results indicate that administering ATE and FATE may be effective against anti-hyperglycemia by regulating insulin resistance. In particular, FATE may be beneficial for controlling obesity in type 2 diabetes.

Properties Evaluation on Aluminum for Die-casting(ADC 12) to Packing Case of Composite Sensor (복합센서 케이스용 알루미늄 다이캐스팅(ADC 12) 합금의 특성평가)

  • Son, Jae-Hwan;Oh, Sang-Kyun;Kim, Dong-Bae;Han, Chang-Woo
    • Journal of the Korean Society of Industry Convergence
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    • v.9 no.2
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    • pp.141-145
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    • 2006
  • In case of sense case manufactured by method of outage capacity, sensitivity is declined by outside effect and method of the photo electricity has a problem in transmission. therefore, packing case of composite sense should be developed to improve such a problem about influence of outside environment and its property evaluation has been performed. Mechanical property and result of analysis & test evaluation of Mat'l on aluminum die-casting(ADC 12type) Mat'l developed are as following. Tensile test piece, No. 4 of KS B 0801, has been applied to mechanical property test of Mat'l and It has been tested by method of metal mat'l tensile test(KS B 0802 : 2003). It can be found that physical property to KS(Korea Standard) is excellent. and homogeneous mechanical property appears. Test of Mat'l analysis has been performed by using OE Spectrometer, according to ASTM E 1251 : 1994 regulation. Consequently, good and homogeneous component contents classified by element to standard, except for Fe, have been obtained with coordination of Fe content as below 1.3% from composition standard of Aluminum Die-casting.

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Root Bark of Morus alba L. and Its Bioactive Ingredient, Ursolic Acid, Suppress the Proliferation of Multiple Myeloma Cells by Inhibiting Wnt/β-Catenin Pathway

  • Song, Geu Rim;Choi, Yoon Jung;Park, Soo Jin;Shin, Subeen;Lee, Giseong;Choi, Hui Ji;Lee, Do Yup;Song, Gyu-Yong;Oh, Sangtaek
    • Journal of Microbiology and Biotechnology
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    • v.31 no.11
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    • pp.1559-1567
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    • 2021
  • The root bark of Morus alba L. has cytotoxic activity against several types of cancer cells. However, little is known about its chemopreventive mechanisms and bioactive metabolites. In this study, we showed that M. alba L. root bark extracts (MRBE) suppressed β-catenin response transcription (CRT), which is aberrantly activated in various cancers, by promoting the degradation of β-catenin. In addition, MRBE repressed the expression of the β-catenin/T-cell factor (TCF)-dependent genes, c-myc and cyclin D1, thus inhibiting the proliferation of RPMI-8226 multiple myeloma (MM) cells. MRBE induced apoptosis in MM cells, as evidenced by the increase in the population of annexin VFITC-positive cells and caspase-3/7 activity. We identified ursolic acid in MRBE through LC/mass spectrum (MS) and observed that it also decreased intracellular β-catenin, c-myc, and cyclin D1 levels. Furthermore, it suppressed the proliferation of RPMI-8226 cells by stimulating cell cycle arrest and apoptosis. These findings suggest that MRBE and its active ingredient, ursolic acid, exert antiproliferative activity by promoting the degradation of β-catenin and may have significant chemopreventive potential against MM.

Antibiotic Resistance and Safety Assessment of Enterococcus faecium CKDB003 for Using as Probiotics (프로바이오틱스 Enterococcus faecium CKDB003의 항생제 내성 및 안전성 평가)

  • Kim, Han Jun;Kang, Soon Ah
    • The Korean Journal of Food And Nutrition
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    • v.33 no.3
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    • pp.223-236
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    • 2020
  • In this study, a safety evaluation was conducted to confirm if the Enterococcus faecium CKDB003 strain obtained by selection from a mixed fermentation of fruit and milk is suitable for use as a probiotic. The MIC value for the 10 antibiotics specified in the EFSA guidance was below the acceptable cut-off value. The antibiotic resistance genes aac(6')-li, eatAv, and msr(C) exist by whole genome sequencing, but are in the chromosome and not in the plasmid, thus confirming that there is no possibility of transmission to other microorganisms. It was confirmed that cytolysin (cylA, cylB, cylI, cylL-l, cylL-s, cylM, cylR1, cylR2), aggregation substance (asa1, asp1), collagen adhesion (ace), enterococcal surface protein (esp), endocarditis antigen (efaA), hyaluronidase (hyl) and gelatinase (gelE) were not present in the genome by examining the genes of factors related to virulence. Also, the biochemical analysis showed no toxic enzyme activities, and no virulence genes were detected by the PCR method. Thus, the E. faecium CKDB003 strain can be safely used as a health functional food probiotic, based on the results of the safety assessment.

Study on Bioactive Materials Using By-Products of Alcohol Fermentation (Tapioca-Unhulled Barley Dried Distiller's Grains) (알코올 발효 부산물(타피오카 · 겉보리 주정박) 활용한 생리활성 및 기능성 소재연구)

  • Eun-Jeong Jeong
    • Journal of the Korean Society of Industry Convergence
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    • v.26 no.1
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    • pp.47-57
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    • 2023
  • In this study, the bioactive activities (antioxidant activity, whitening activity, and anti-wrinkle effect) of dried tapioca-unhulled barley grain residue (TUDDG) obtained after alcohol fermentation, were measured. In the case of DPPH radical scavenging activity, the 50% ethanol extract of TUDDG showed the highest level of about 83% at the concentration of 100 mg/ml, and the ABTS radical scavenging activity was also about 98% of the 50% ethanol extract of TUDDG even at the concentration of 10 mg/mL. In the case of mushroom tyrosinase inhibitory activity, the 50% ethanol extract of TUDDG showed the highest activity at 100 mg/ml concentration of 37%. As a result of collagenage activity inhibition and elastase analysis, the 50% ethanol extract of TUDDG showed high activity with 4.2 mg/mL (IC50) and 26.1 mg/mL (IC50), respectively. Therefore, considering the physiological activity as well as the extraction efficiency of physiologically active substances, the 50% ethanol extract of TUDDG is judged to be highly effective.

Screening Analysis of 10 Adrenal Steroids by Matrix-Assisted Laser Desorption Ionization-Tandem Mass Spectrometry

  • Kim, Sun-Ju;Jung, Hyun-Jin;Chung, Bong-Chul;Choi, Man-Ho
    • Mass Spectrometry Letters
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    • v.2 no.3
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    • pp.69-72
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    • 2011
  • Defective synthesis of the steroid hormones by the adrenal cortex has profound effects on human development and homeostasis. Due to the time-consuming chromatography procedure combined with mass spectrometry, the matrix-assisted laser desorption ionization method coupled to the linear ion-trap tandem mass spectrometry (MALDI-LTQ-MS/MS) was developed for quantitative analysis of 10 adrenal steroids in human serum. Although MALDI-MS can be introduced for its applicability as a high-throughput screening method, it has a limitation on reproducibility within and between samples, which renders poor reproducibility for quantification. For quantitative MALDI-MS/MS analysis, the stable-isotope labeled internal standards were used and the conditions of crystallization were tested. The precision and accuracy were 3.1~35.5% and 83.8~138.5%, respectively, when a mixture of 10 mg/mL ${\alpha}$-cyano-4-hydroxycinnamic acid in 0.2% TFA of 70% acetonitrile was used as the MALDI matrix. The limit of quantification ranged from 5 to 340 ng/mL, and the linearity as a correlation coefficient was higher than 0.988 for all analytes in the calibration range. Clinical applications include quantitative analyses of patients with congenital adrenal hyperplasia. The devised MALDI-MS/MS technique could be successfully applied to diagnosis of clinical samples.

ERROR ESTIMATE OF EXTRAPOLATED DISCONTINUOUS GALERKIN APPROXIMATIONS FOR THE VISCOELASTICITY TYPE EQUATION

  • Ohm, Mi-Ray;Lee, Hyun-Yong;Shin, Jun-Yong
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.311-326
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    • 2011
  • In this paper, we adopt discontinuous Galerkin methods with penalty terms namely symmetric interior penalty Galerkin methods, to solve nonlinear viscoelasticity type equations. We construct finite element spaces and define an appropriate projection of u and prove its optimal convergence. We construct extrapolated fully discrete discontinuous Galerkin approximations for the viscoelasticity type equation and prove ${\ell}^{\infty}(L^2)$ optimal error estimates in both spatial direction and temporal direction.

Antioxidant and anti-inflammatory activities of hot water extracts of Ligularia fischeri (곰취 열수 추출물의 항산화 및 항염증 활성)

  • Nam, Ho-Seob;Jung, Ji-Wook;Kim, Do-Wan;Ha, Hyo-Cheol
    • Food Science and Preservation
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    • v.24 no.6
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    • pp.834-841
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    • 2017
  • This study was carried out to investigate the anti-oxidative and anti-inflammatory effects of hot water extracts of Ligularia fischeri cultivated in Youngyanggun. We obtained hot water extract (HWE) and cold water extract (CWE) from L. fischeri. The anti-oxidative activities of L. fischeri extracts were measured by 2,2-diphenyl-1-picrylhydrazyl radical scavenging activity. The anti-inflammatory effects of L. fischeri were evaluated in human mast cell line-1 (HMC-1) cells stimulated with phorbol-12-myristate-13-acetate plus A23187 (PMACI). The solid yields of HWE was 150% higher than CWE solid yield. Total polyphenol contents of HWE were $198.07{\pm}0.24mg/g$. The value of anti-oxidative activities of HWE were shown $IC_{50}$ $28.2{\pm}0.04ug/mL$. We showed that HWE significantly reduced the PMACI-induced the production of IL-6 (0.01-1 mg/mL), IL-8 (0.1-1 mg/mL), and $TNF-{\alpha}$ (0.01-1 mg/mL). These results indicate that the HWE of L. fischeri can be used as a functional material due to its antioxidant and anti-inflammatory activities.

MEAN CONVERGENCE THEOREMS AND WEAK LAWS OF LARGE NUMBERS FOR DOUBLE ARRAYS OF RANDOM ELEMENTS IN BANACH SPACES

  • Dung, Le Van;Tien, Nguyen Duy
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.3
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    • pp.467-482
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    • 2010
  • For a double array of random elements {$V_{mn};m{\geq}1,\;n{\geq}1$} in a real separable Banach space, some mean convergence theorems and weak laws of large numbers are established. For the mean convergence results, conditions are provided under which $k_{mn}^{-\frac{1}{r}}\sum{{u_m}\atop{i=1}}\sum{{u_n}\atop{i=1}}(V_{ij}-E(V_{ij}|F_{ij})){\rightarrow}0$ in $L_r$ (0 < r < 2). The weak law results provide conditions for $k_{mn}^{-\frac{1}{r}}\sum{{T_m}\atop{i=1}}\sum{{\tau}_n\atop{j=1}}(V_{ij}-E(V_{ij}|F_{ij})){\rightarrow}0$ in probability where {$T_m;m\;{\geq}1$} and {${\tau}_n;n\;{\geq}1$} are sequences of positive integer-valued random variables, {$k_{mn};m{{\geq}}1,\;n{\geq}1$} is an array of positive integers. The sharpness of the results is illustrated by examples.