• Title/Summary/Keyword: Generalized derivatives

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Optical flow of heart images by image-flow conservation equation and functional expansion (영상유체보존식과 함수전개법에 의한 심장영상의 광류)

  • Kim, Jin-Woo
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.7
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    • pp.1341-1347
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    • 2007
  • The displacement field (Optical flow) has been calculated by bottom-up approaches based on local processing. In contrast with them, in this paper, a top-down approach based on expanding in turn from the lowest order mode the whole motion in an image pair of sequential images is proposed. The intensity of medical images usually represents a quantity which is conserved during the motion. Hence sequential images are ideally related by a coordinate transformation. The displacement field can be determined from the generalized moments of the two images. The equations which transform arbitrary generalized moments from a source image to a target image are expressed as a function of the displacement field. The appareent displacement field is then computed iteratively by a projection method which utilizes the functional derivatives of the linearized moment equations. This method is demonstrated using a pair of sequential heart images. For comparative evaluation, we applied Horn and Schunck's method, a standard multigrid method, and our proposed algorithm to sequential image.

Determinants of Vietnam Government Bond Yield Volatility: A GARCH Approach

  • TRINH, Quoc Trung;NGUYEN, Anh Phong;NGUYEN, Hoang Anh;NGO, Phu Thanh
    • The Journal of Asian Finance, Economics and Business
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    • v.7 no.7
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    • pp.15-25
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    • 2020
  • This empirical research aims to identify the relationship between fiscal and financial macroeconomic fundamentals and the volatility of government bonds' borrowing cost in an emerging country - Vietnam. The study covers the period from July 2006 to December 2019 and it is based on a sample of 1-year, 3-year, and 5-year government bonds, which represent short-term, medium-term and long-term sovereign bonds in Vietnam, respectively. The Generalized AutoRegressive Conditional Heteroskedasticity (GARCH) model and its derivatives such as EGARCH and TGARCH are applied on monthly dataset to examine and suggest a significant effect of fiscal and financial determinants of bond yield volatility. The findings of this study indicate that the variation of Vietnam government bond yields is in compliance with the theories of term structure of interest rate. The results also show that a proportion of the variation in the yields on Vietnam government bonds is attributed to the interest rate itself in the previous period, base rate, foreign interest rate, return of the stock market, fiscal deficit, public debt, and current account balance. Our results could be helpful in the macroeconomic policy formulation for policy-makers and in the investment practice for investors regarding the prediction of bond yield volatility.

Fekete-Szegö Problem for a Generalized Subclass of Analytic Functions

  • Orhan, Halit;Yagmur, Nihat;Caglar, Murat
    • Kyungpook Mathematical Journal
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    • v.53 no.1
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    • pp.13-23
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    • 2013
  • In this present work, the authors obtain Fekete-Szeg$\ddot{o}$ inequality for certain normalized analytic function $f(z)$ defined on the open unit disk for which $$\frac{{\lambda}{\beta}z^3(L(a,c)f(z))^{{\prime}{\prime}{\prime}}+(2{\lambda}{\beta}+{\lambda}-{\beta})z^2(L(a,c)f(z))^{{\prime}{\prime}}+z(L(a,c)f(z))^{{\prime}}}{{\lambda}{\beta}z^2(L(a,c)f(z))^{{\prime}{\prime}}+({\lambda}-{\beta})z(L(a,c)f(z))^{\prime}+(1-{\lambda}+{\beta})(L(a,c)f(z))}\;(0{\leq}{\beta}{\leq}{\lambda}{\leq}1)$$ lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (or convolution) are given. As a special case of this result, Fekete-Szeg$\ddot{o}$ inequality for a class of functions defined through fractional derivatives are obtained.

Could Natural Products Confer Inhibition of SARS-CoV-2 Main Protease? In-silico Drug Discovery

  • Mohamed-Elamir F Hegazy
    • Proceedings of the Plant Resources Society of Korea Conference
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    • 2020.12a
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    • pp.14-14
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    • 2020
  • In December 2019, the COVID-19 epidemic was discovered in Wuhan, China, and since has disseminated around the world impacting human health for millions. Herein, in-silico drug discovery approaches were utilized to identify potential candidates as Severe Acute Respiratory Syndrome coronavirus 2 (SARS-CoV-2) main protease (Mpro) inhibitors. We investigated several databases including natural and natural-like products (>100,000 molecules), DrugBank database (10,036 drugs), major metabolites isolated from daily used spices (32 molecules), and current clinical drug candidates for the treatment of COVID-19 (18 drugs). All tested compounds were prepared and screened using molecular docking techniques. Based on the calculated docking scores, the top ones from each project under investigation were selected and subjected to molecular dynamics (MD) simulations followed by molecular mechanics-generalized Born surface area (MM-GBSA) binding energy calculations. Combined long MD simulations and MM-GBSA calculations revealed the potent compounds with prospective binding affinities against Mpro. Structural and energetic analyses over the simulated time demonstrated the high stabilities of the selected compounds. Our results showed that 4-bis([1,3]dioxolo)pyran-5-carboxamide derivatives (natural and natural-like products database), DB02388 and Cobicistat (DB09065) (DrugBank database), salvianolic acid A (spices secondary metabolites) and TMC-310911 (clinical-trial drugs database) exhibited high binding affinities with SARS-CoV-2 Mpro. In conclusion, these compounds are up-and-coming anti-COVID-19 drug candidates that warrant further detailed in vitro and in vivo experimental estimations.

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Synthesis and quantitative structure-activity relationships(QSAR) analysis of 1-(phenoxymethyl) benzotriazole derivatives as new fungicide (새로운 항균제(抗菌劑)로서 1-(phenoxymethyl)benzotriazole 유도체(誘導體)의 합성(合成)과 정량적(定量的) 구조활성관계(構造活性關係)(QSAR) 분석(分析))

  • Sung, Nack-Do;Lim, Chi-Hwan;Choi, Woo-Young;Ko, Thoug-Sung;Kwon, Ki-Sung
    • Applied Biological Chemistry
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    • v.33 no.3
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    • pp.231-238
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    • 1990
  • The structure-antifungal activity correlations between the structure of fourteen new 1-(phenoxymethyl)benzotriazoles (I) (Y=0), 1-(thiophenoxymethyl)benzotriazoles (ll) (Y=S) and 1-(azidomethyl)benzotriazole (III) derivatives were synthesized, and their activity, fifty percent inhibition of mycelial growth($pI_{50}$), in vitro against Pyricularia oryzae, Fusarium axysporum f.sp sesami, Valsa ceratosperma and Botrytis cinerea were investigated using a generalized QSAR method. The activity of (I) was superior In those of (II) and (III). The effect of the substituents (X) on the phenoxy group (I) was rationalized by a parabolic function of electronic (${\sigma}$), steric ($B_1$) and hydrophobic parameter(${\pi}$), and hydrogen bonding (HB). Where the optimal values of substituent on the fungicidal activity againt P. oryzae and F. axysporum f.sp.sesami are $B_1=1.40A;(H)$ and ${\pi}=0.07{\sim}0.15;(H)$, and those of substituent on the fungicidal activity against V. ceratosperma and B. cinerea are ${\sigma}=0.23{\sim}0.28;\;(C1),\;{\pi}=0.70;$ (C1), respectively. The most effective compound ( I a) and ( I d) were examined in this study.

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Herbicidal activity and molecular design of benzotriazole derivatives (Benzotriazole계 유도체의 제초활성과 분자 설계)

  • Sung, Nack-Do;Park, Hyeon-Joo;Park, Seung-Heui;Pyon, Jong-Yeong
    • Applied Biological Chemistry
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    • v.34 no.3
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    • pp.287-294
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    • 1991
  • The relationships between the quantitative structure of benzotriazoles and their post-emergence growth inhibiting activity$(pI_{50})$ against Oryzae sativa L. and Echinochloa crus-galli were investigated using a generalized quantitative structure activity relationships (QSAR). According to the QSAR analysis, the free radical parameter $(E_R)$ is a very important factor and the growth inhibiting activity values showed parabolic relation to $E_R$ parameter of para-substituents(X). The activity of (3) was superior to those of (4) and (3b) is selected as the most highly effective compound. The optimal values of $E_R$ parameter of the growth inhibiting activity aganist E.crus-galli are $E_R(3)=0.52\;and\;E_R(4)=0.15$, respectively. From the result of molecular design, the substituents(X) of electron withdrawing properties and $E_R$ parameter of optimal value(0.52) were most desirable for high activity of the benzotriazoles. And in view of this, benzotriazoles may also be effective in blocking the photosynthetic electron transfer.

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