• 제목/요약/키워드: $\alpha$-equivalence

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Simple and Sensitive Liquid Chromatography Electrospray Ionization Mass Spectrometry Method for Determination of Glycoalkaloids in Potato (Solanum tuberosum L.)

  • Kim, Jae-Kwang;Bae, Shin-Cheol;Baek, Hyung-Jin;Seo, Hyo-Won;Ryu, Tae-Hun;Kim, Jung-Bong;Won, So-Youn;Sohn, Soo-In;Kim, Dong-Hern;Kim, Sun-Ju;Cho, Myoung-Rae
    • Food Science and Biotechnology
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    • 제18권1호
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    • pp.113-117
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    • 2009
  • A method was developed using enhanced liquid chromatography coupled with electrospray ionization mass spectrometry for the analysis and quantitation of 2 main potato glycoalkaloids, $\alpha$-chaconine, and $\alpha$-solanine, without any pre-concentration or derivatisation steps. Calibration curves generated by this technique exhibited a linear dynamic range from 0.025 to $50{\mu}g/mL$ and from 0.05 to $50{\mu}g/mL$ for $\alpha$-chaconine and $\alpha$-solanine, respectively. Matrix effects were evaluated by comparing calibration curves measured in matrix-matched and solvent-based systems. Ion suppression due to matrix effects was weak and extraction recoveries of 88 to 114% were obtained in different sample matrices spiked with analyte concentrations ranging from 15 to $35{\mu}g/mL$. Potatoes that had been genetically modified to tolerate glufosinate contained the same glycoalkaloid levels as their non-transgenic counterpart. We suggest complementing compositional comparison assessment strategy by validating quantitative analytical methods for the toxic glycoalkaloids in potato plants.

성층화 혼합기 연소 모델링을 위한 프로판 및 이소옥탄 연료의 층류 화염 속도 (Laminar Burning Velocities of Propane and Iso-Octane Fuels for Stratified Charged Combustion Modeling)

  • 배상수;김용태;임재만;민경덕
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집B
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    • pp.704-709
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    • 2000
  • Laminar burning velocities of propane- and iso-octane-air mixtures have been numerically modelled over a wide range of equivalence ratio, pressure and temperature. These correlations are applicable to the modelling of stratified charged combustion like that of lean bum and GDI engine combustion. The numerical models are based on the results calculated by PREMIX code with Sloane's detailed chemical reaction mechanism for propane and FlameMaster code with Peters' for iso-octane. Laminar burning velocity for two fuels showed a pressure and temperature dependence in the following form, in the range of $0.1{\sim}4MPa$, and $300{\sim}1000K$, respectively. $S_L={\alpha}\;{\exp}[-\xi({\phi}-{\phi}_m)^2-{\exp}\{-{\xi}({\phi}-{\phi}_m)\}-{\xi}({\phi}-{\phi}_m)]$ where ${\phi}_m=1.07$, and both of ${\alpha}$ and ${\xi}$ are functions of pressure and temperature. Compared with the results of the existing models, those of the present one showed the good agreement of the recent experiment data, especially in the range of lean and rich sides. Judging from the calculated results of the stratified charged combustion by using STAR-CD, the above modelling prove to be more suitable than the other ones.

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OSCILLATORY BEHAVIOR AND COMPARISON FOR HIGHER ORDER NONLINEAR DYNAMIC EQUATIONS ON TIME SCALES

  • Sun, Taixiang;Yu, Weiyong;Xi, Hongjian
    • Journal of applied mathematics & informatics
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    • 제30권1_2호
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    • pp.289-304
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    • 2012
  • In this paper, we study asymptotic behaviour of solutions of the following higher order nonlinear dynamic equations $$S_n^{\Delta}(t,x)+{\delta}p(t)f(x(g(t)))=0$$ and $$S_n^{\Delta}(t,x)+{\delta}p(t)f(x(h(t)))=0$$ on an arbitrary time scale $\mathbb{T}$ with sup $\mathbb{T}={\infty}$, where n is a positive integer, ${\delta}=1$ or -1 and $$S_k(t,x)=\{\array x(t),\;if\;k=0,\\a_k(t)S_{{\kappa}-1}^{\Delta}(t),\;if\;1{\leq}k{\leq}n-1,\\a_n(t)[S_{{\kappa}-1}^{\Delta}(t)]^{\alpha},\;if\;k=n,$$ with ${\alpha}$ being a quotient of two odd positive integers and every $a_k$ ($1{\leq}k{\leq}n$) being positive rd-continuous function. We obtain some sufficient conditions for the equivalence of the oscillation of the above equations.

The Minimum Squared Distance Estimator and the Minimum Density Power Divergence Estimator

  • Pak, Ro-Jin
    • Communications for Statistical Applications and Methods
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    • 제16권6호
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    • pp.989-995
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    • 2009
  • Basu et al. (1998) proposed the minimum divergence estimating method which is free from using the painful kernel density estimator. Their proposed class of density power divergences is indexed by a single parameter $\alpha$ which controls the trade-off between robustness and efficiency. In this article, (1) we introduce a new large class the minimum squared distance which includes from the minimum Hellinger distance to the minimum $L_2$ distance. We also show that under certain conditions both the minimum density power divergence estimator(MDPDE) and the minimum squared distance estimator(MSDE) are asymptotically equivalent and (2) in finite samples the MDPDE performs better than the MSDE in general but there are some cases where the MSDE performs better than the MDPDE when estimating a location parameter or a proportion of mixed distributions.

FRACTIONAL DYNAMICAL SYSTEMS FOR VARIATIONAL INCLUSIONS INVOLVING DIFFERENCE OF OPERATORS

  • Khan, Awais Gul;Noor, Muhammad Aslam;Noor, Khalida Inayat
    • 호남수학학술지
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    • 제41권1호
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    • pp.207-225
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    • 2019
  • In the present paper, we propose some new fractional dynamical systems. These dynamical systems are associated with the variational inclusions involving difference of operators problem. The equivalence between the variational inclusion problems and the fixed point problems and as well as the resolvent equations are used to suggest fractional resolvent dynamical systems and fractional resolvent equation dynamical systems, respectively. We show that these dynamical systems converge ${\alpha}$-exponentially to the unique solution of variational inclusion problems under fewer restrictions imposed on operators and parameters. Several special cases also discussed.

ON WEIGHTED BROWDER SPECTRUM

  • Dharmarha, Preeti;Kumari, Sarita
    • 대한수학회보
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    • 제59권1호
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    • pp.1-13
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    • 2022
  • The main aim of the article is to introduce new generalizations of Fredholm and Browder classes of spectra when the underlying Hilbert space is not necessarily separable and study their properties. To achieve the goal the notions of 𝛼-Browder operators, 𝛼-B-Fredholm operators, 𝛼-B-Browder operators and 𝛼-Drazin invertibility have been introduced. The relation of these classes of operators with their corresponding weighted spectra has been investigated. An equivalence of 𝛼-Drazin invertible operators with 𝛼-Browder operators and 𝛼-B-Browder operators has also been established. The weighted Browder spectrum of the sum of two bounded linear operators has been characterised in the case when the Hilbert space (not necessarily separable) is a direct sum of its closed invariant subspaces.

한국어판 플러턴 어드밴스드 균형 척도의 신뢰도와 타당도 연구 (Reliability and Validity Study on the Korean Version of the Fullerton Advanced Balance Scale)

  • 김경모
    • 한국전문물리치료학회지
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    • 제23권1호
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    • pp.31-37
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    • 2016
  • Background: The assessment tool developed in other countries should be translated into Korean language using rigorous methodological approaches in order to be used in Korea. Because these procedures are insufficient for establishing the cross-cultural and linguistic equivalence, the need for statistical methods is raised. The Fullerton Advanced Balance Scale was translated into Korean and the content validity was verified through the back translation method, but the reliability and validity have not yet been proven by statistical methods. Objects: The purpose of this study was to investigate the reliability and validity of the Korean version of the Fullerton Advanced Balance Scale (KFAB) by statistical methods in elderly people. Methods: A total of 97 elderly adults (39 males and 58 females) participated in this study. Internal consistency of the KFAB was measured using Cronbach's alpha and an intraclass correlation coefficient (ICC) was used to assess test-retest reliability between the two measurement sessions. Concurrent validity was measured by comparing the KFAB responses with the Korean version of the Berg Balance Scale (KBBS) using the Spearman correlation coefficient. Construct validity of the KFAB was measured using the exploratory factor analysis to evaluate the unidimensionality of the questionnaire. The significance level was set at ${\alpha}=.05$. Results: The internal consistency of the KFAB was found be adequate with Cronbach's alpha (.96), and test-retest reliability was excellent as evidenced by the high ICC (r=.996). Concurrent validity showed high correlation between the KFAB and KBBS (r=.89, p<.001). Construct validity was evaluated using exploratory factor analysis. The result from Bartlett test of sphericity was statistically significant (p<.001), and the value of Kaiser-Meyer-Olkin measure of sampling adequacy was .93. Exploratory factor analysis revealed the existence of only one dominant factor that explained 76.43% of the variance. Conclusion: The KFAB is a reliable, valid and appropriate tool for measuring the balance functions in elderly people.

소청룡탕 제조방법에 따른 성분 및 생리활성 비교 (Comparison of Marker Components and Biological Activities of Socheongryong-tang by Different Extract Methods)

  • 백가연;김세진;김종범;이정현;문성옥;이화동
    • 생약학회지
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    • 제49권4호
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    • pp.349-361
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    • 2018
  • Socheongryong-tang (SCRT) was one of the major traditional herbal medicines wildly used in the treatment of respiratory disease. SCRT is being commercially produced in the form of mix extracts powder and soft dry extract by different extract methods in the Korean Herbal Pharmacopeia (KHP). In this study, the contents of marker components and biological activities of the SCRT mix extract powder were compared with those of the SCRT decoction. To analyze the marker components of SCRT, nine marker from eight herbal preparations were chosen. And the method using high performance liquid chromatography (HPLC) with diode-array detector method was established for the simultaneous analysis. Method validation was accomplished by linearity, precision test, and recovery test. The contents of nine marker components in this extract was ascertained by ratio. The biological activities were examined the effect of SCRT on anti-oxidation and pro-inflammation mediated by LPS-stimulation. We confirmed that both of SCRT mix extrct powder and decoction have the similar contents on total polyphenol and flavonoid and inhibited the secretion of nitric oxide (NO), $IL-1{\beta}$, IL-6, tumor necrosis factor $(TNF)-{\alpha}$ and the expression of iNOS, COX-2, $IL-1{\beta}$, IL-6, $TNF-{\alpha}$. These results suggest that SCRT mix extract powder and decoction have a significant correlation.

Bioequivalence Study of Ranitidine Tablet

  • Shim, Chang-Koo;Hong, Jae-Sung;Lee, Chang-Ki;Han, Ik-Soo;Choi, Kwang-Sik
    • Archives of Pharmacal Research
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    • 제13권2호
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    • pp.180-186
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    • 1990
  • A bioequivalence study of ranitidine tablets was conducted according to the Korean Guidine for the Bioequivalence Test using twelve healthy male subjects. The plasma concentration-timecurves of ranitidine from the test and reference tablets showed profound multiple peak phenomenon in each subject as reported earlier. However, the area under the plasma concentration-time curve (AUC) and the maximum ploasma concentration at the first peak ($C_{max1}$) of the two preparations was proven to be equal when analyzed satistically according to the criteria of the guidline;i. e., statistical power (1-$\beta$)was calculated to be over 0.8 under the condition of $\alpha$ = 5% and $\Delta$(minimum detectable difference) = 20%, and the confidence interval of the difference in AUC at 95% confidence level was in the range of $\pm$ 20%, which statisfied the criteria of bioequivalence. Equivalence of the peak concentration of ranitidine at the second peak ($C_{max2}$), and the time to reach the first ($T_{max1}$) and second verify the bioequivalence of $c_{max2}$ , $T_{max1}$ and $T_{max2}$ between the two tablets. However, we conclude that the test and reference tablets are bioequivalent taking the therapeutic characteristics of the ranitidine preparations into consideration.

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세파클러 캅셀제에 대한 생물학적 동등성 평가 (Bioequivalence of Cefaclor Capsules Following Single Dose Administration to Healthy Male Volunteers)

  • 복혜숙;김명민;권이오;최경업
    • 한국임상약학회지
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    • 제7권1호
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    • pp.17-21
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    • 1997
  • Cefaclor is a second generation cephalosporin antibiotic that shows a potent antibacterial activity against both Gram-positive and Gram-negative bacteria, when it is orally administered. Due to its patent expiration, a number of generic drugs have been marketed, but not yet elucidated to ensure therapeutic equivalence. In this study, cefaclor capsules manufactured by Chong Kun Dang were bioequivallently assessed by comparing with $Ceclor^{TM}$ introduced originally by Daewoong Lilly. A total of 16 healthy male volunteers were evaluated in a randomized crossover manner with a 2-week washout period. Concentrations of cefaclor in plasma were measured upto 6 hours following a single oral administration of two capsules (500 mg of cefaclor) by high-performance liquid chromatography with UV detection. Although the plasma concentration at 6 hours was not detected, the computed half-life of cefaclor was approximately 0.5 hours. The area under the concentration-vs-time curve from 0 to 4 hours $(AUC_{0-4h})$ was calculated by the trapezoidal summation method. The differences in mean values of $AUC_{0-4h}$, peak plasma concentration $(C_{max})$, and time to peak concentration $(T_{max})$ between the two products were $4.63\%,\;1.84\%,\;and\3.28\%$, respectively. The least significant differences at $\alpha4= 0.05 for $AUC_{0-4h},\;C_{max},\;and\;T_{max}\;were\;6,53\%,\;4.05\%,\;and\;6.47\%$, respectively. In conclusion, the test drug was bioequivalent with the reference drug.

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