• Bulletin of the Korean Chemical Society
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• v.11 no.6
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• pp.497-505
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• 1990

The function exp$(x^2)$erfc(x), which is often encountered in studies of electrode kinetics, is evaluated to an extended precision with 32 significant decimal digits in order to find theoretical relationships used in derivative polarography/voltammetry for a chemically-coupled electrode process. Computations with a lower precision are not successful. Evaluation of the function is accomplished by using three types of expansions for the function. Best ranges of arguments are selected for each equation for particular precisions for efficiencies. The method is successfully applied to calculate higher-order derivatives of the current-potential curves in all potential ranges for a reversible electron transfer reaction coupled with a prior chemical equilibrium (i.e., a CE type process). Various parameters that characterize the peak asymmetry (such as ratios of peak-heights, ratios of half-peak-widths, and separations in peak-potentials) are analyzed to find how kinetic and thermodynamic parameters influence shapes of the derivatives. The results from the CE process is compared with those from an EC process in which a reversible electron transfer is coupled with a follow-up homogeneous chemical reaction. The two processes exibit quite contrasting differences for values of the parameters.

• YAKHAK HOEJI
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• v.36 no.2
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• pp.110-114
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• 1992

In order to evaluate the antimicrobial effect of 2, 3-substituted-1, 4-naphthoquinone derivatives, we newly synthesized several 2-chloro, 2-bromo and 2-hydroxy-1, 4-naphthoquinones and subjected to antibacterial and antifungal activities, in vitro, against Escherichia coli NIHJ, Staphylococcus aureus ATCC6538p, Candida albicans 10231, Aspergillus niger 1231 and Tricophyton mentagrophytes 6085. Among these derivatives 3, 9, 18 and 23 showed the potent antibacterial activities. 18, 23 and 28 have the antifungal activities. However, these compounds have no significant hemolytic activity at concentrations higher than that required for showing the antibacterial and antifungal activities.

• YAKHAK HOEJI
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• v.40 no.3
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• pp.279-292
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• 1996

To assess their stability as a prodrug of 5-fluorouracil (5-FU), four N-acyloxycarbonyl derivatives (1-(N-tert-butyloxycarbonyl)glycyloxymethyl-5-FU :BGFU, 1-(N-tert-butyloxycar bonyl)-leucyloxymethyl-5-FU:BLFU, 1-(N-tert-carbobenzyloxymethyl) glycyloxymethyl-5-FU:CGFU and 1-(N-tert-carbobenzlyoxymethyl)leucyloxymethyl-5-FU:CLFU) possessing differently protected amino acids, and two acetic acid derivatives (5FU-1-acetylpentane:FUAP and 5-FU-1-acetylhexane:FUAH) were synthesized and their physicochemical properties, hydrolysis kinetics, acute toxicity and antitumor activity were evaluated. The lipid-water partition coefficients of six 5-FU prodrugs were higher than that of 5-FU and their aqueous solubilities were in the following rank order; BGFU>FUAP>CGFU>BLFU>CLFU${\simeq}$FUAH. The hydrolysis of N-acyloxycarboyl derivatives, greater at higher pH, was enhanced in presence of liver homogenate or human plasma. Meanwhile, acetic acid ester derivatives, very stable, were hydrolyzed by liver homogenate. Absorption rate constants were 0.181, 0.121, 0.111, 0.168, 0.168, 0.116 and 0.125 $hr^{-1}$ for 5-FU, BGFU, BLFU, CGFU, CLFU, FUAP and FUAH, respectively. The cytotoxicity of N-acyloxycarbonyl derivatives was 4 to 5 times lower than that of 5-FU, but that of acetic acid ester derivatives was negligeble. The $LD_{50}$ values were 204, 325.97 (133.59, amount as 5-FU), 708.16 (262.13), 663.50 (211.77), 382.33 (192.54) and 272.33 (130.09) mg/kg for 5-FU, BGFU, CGFU, CLFU, FUAP and FUAH, respectively. While N-acyloxycarbonyl derivatives showed enhanced antitumor activity and therapeutic ratio (3.30, 3.06, 4.19, 3.11 and 1.81 for BGFU, BLFU, CGFU, CLFU and 5-FU, respectively), FUAH and FUAP showed a smaller therapeutic ratio (0.79 and 0.83).

• YAKHAK HOEJI
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• v.42 no.2
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• pp.159-164
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• 1998

The secondary hydroxy group at side chain of shikonin structure was selectively acylated with various haloacetic acids in presence of dicyclohexylcarbodiimide and 4-dimethylamin opyridine to produce haloacetylshikonin derivatives. The cytotoxicity of monohaloacetylshikonin derivatives against L1210 cells increased in the following order; monochloroacetylshikonin ($ED_{50}$, 0.142${\mu}$g/ml) > monobromoacetylshikonin ($ED_{50}$. 0.158${\mu}$g/ml) > monoiodoacetylshikonin ($ED_{50}$, 0.173${\mu}$g/ml). Introduction of larger halogen atoms decreased the cytotoxic activity, presumably due to steric hinderance. The cytotoxicity of chloroacetylshikonin derivatives was dependent on the number of chlorine atom, thus increasing in the following order; trichloroacetylshikonin (0.032${\mu}$g/ml) > dichloroacetylshikonin (0.059${\mu}$g/ml) > monochloroacetylshikonin ($ED_{50}$, 0.142${\mu}$g/ml). Thus, the electron withdrawing effect seems to be important for the cytotoxicity of chloroacetylshikonin derivatives. Consistent with the above, dichloroacetylshikonin (T/C. 182%) and trifluoroacetylshikonin (195%) showed higher T/C values than monochloroacetyl-(T/C, 122%), monobromoacetyl-(T/C, 154%) and monoiodoacetylshikonin (T/C, 117%) derivatives. Haloacetylshikonin derivatives showing lower cytoxic activities against L1210 cells exhibited lower T/C values. It seems that there is a relationship between the cytoxicity of haloacetylshikonin and their antitumor activity.

• Journal of Ship and Ocean Technology
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• v.3 no.4
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• pp.1-14
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• 1999

The improved Green integral equation using the Kelvin-type Green function in known free of irregular frequencies where the integral over the inner free surface integral is removed from the integral equation, resulting in an overdetermined integral equation. The solution of the overdetermined Green integral equation is shown identical with the solution of the improved Green integral equation Using the B-spline higher order panel method, the overdetermined equation is discretized in two different ways; one of the resulting linear system is square and the other is redundant. Numerical experiments show that the solutions of both are identical. Using the present methods, the exact values and higher derivatives of the potential at any place over the wetted surface of the body can be found with much fewer panels than low order panel method.

• 제어로봇시스템학회:학술대회논문집
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• 2003.10a
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• pp.337-341
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• 2003

This paper provides a design method for a dynamic output feedback controller which stabilizes a class of linear time invariant systems. We suppose all the states of the given system is not measurable and only the outputs are used to stabilize the system. The systems considered cannot be stabilized by a static output feedback only. In the scheme we first assume that the given system can be stabilized by a state feedback composed of its output, velocity of the output and its higher order derivative terms. Instead of using the derivatives of the output, however, a dynamic system is constructed systematically which replaces the role of the derivative terms. Then, a high-gain output feedback stabilizes the composite system together with the newly constructed system. The performance of the proposed control law is illustrated in the comparative simulation studies of a numerical example with an observer-based control law.

• Journal of Sensor Science and Technology
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• v.30 no.1
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• pp.36-41
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• 2021

The motivation of this paper is to easily analyze the properties of nondispersive infrared gas sensor that has more than two different optical path length and to suggest the criterion and definition of infrared light absorbance in order to minimize the measurement errors. With the output voltage ratios and the normalized derivatives of infrared ray (IR) absorbance, when the normalized derivatives of IR absorbance decreases from 0.28 to 0.10, the lower and higher limits of errors were decreased from -5.62% and 2.39% to -4.27% and 2.78%. When the normalized derivatives of IR absorbance were 0.10, the output voltage could be partitioned into two regions with one exponential equation and the temperature compensation error was less than 5%.

• International Journal of Naval Architecture and Ocean Engineering
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• v.6 no.4
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• pp.1000-1013
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• 2014

This paper presents some of the efforts by the authors towards numerical prediction of springing of ships. A time-domain Higher Order Boundary Element Method (HOBEM) based on cubic shape function is first presented to solve a complete second-order problem in terms of wave steepness and ship motions in a consistent manner. In order to avoid high order derivatives on the body surfaces, e.g. mj-terms, a new formulation of the Boundary Value Problem in a body-fixed coordinate system has been proposed instead of traditional formulation in inertial coordinate system. The local steady flow effects on the unsteady waves are taken into account. Double-body flow is used as the basis flow which is an appropriate approximation for ships with moderate forward speed. This numerical model was used to estimate the complete second order wave excitation of springing of a displacement ship at constant forward speeds.

• Journal of applied mathematics & informatics
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• v.31 no.5_6
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• pp.677-693
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• 2013

We construct exponentially fitted interpolation formulas using the values of the ${\omega}$-dependent function $f$ as well as its derivatives up to the $n$th order at a finite number of nodes on a closed interval ${\Omega}$. The function $f$ is of the form, $$f(x)=f_1(x)cos({\omega}x)+f_2(x)sin({\omega}x),x{\in}{\Omega}$$, where $f_1$ and $f_2$ are smooth enough to be approximated by polynomials on ${\Omega}$. Some properties of the formulas are newly found. The properties are numerically investigated and reexamined by producing some figures.

• Proceedings of the Computational Structural Engineering Institute Conference
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• 2006.04a
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• pp.849-856
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• 2006

This paper is to examine the applicability of ordinary Kriging interpolation(OK) to the p-adaptivity of the finite element analysis that is based on variogram. In the p-refinement, the analytical domain has to be refined automatically to obtain an acceptable level of accuracy by increasing the p-level non-uniformly or selectively. In case of non-uniform p-distribution, the continuity between elements with different polynomial orders is achieved by assigning zero higher-order derivatives associated with the edge in common with the lower-order derivatives. It is demonstrated that the validity of the proposed approach by analyzing results for stress singularity problem.