• Bulletin of the Korean Chemical Society
• /
• 제28권3호
• /
• pp.439-442
• /
• 2007

A solid state Hg(Au)/HgO reference electrode was prepared utilizing gold amalgam solid particles. Solid fine powder of the gold amalgam was prepared by chemical reduction of Au(III) with NaBH4 followed by reduction of Hg(II) in the presence of gold fine particles. The solid content in the suspension of the gold amalgam particles and fine mercury oxide particles in DMF containing PVC was precipitated by the addition of a large amount of water to give solid Hg(Au)/HgO/PVC mixture. After drying, the mixture was pressure-molded to a physically stable Hg(Au)/HgO composite reference electrode material. The electrochemical characteristics of the electrode as a reference electrode were very similar to an ordinary Hg/HgO reference electrode. The electrode material can be molded and fabricated in any desired shape and size. The surface can be renewed by a simple polishing process whenever contaminated or deactivated. The applicability of the electrode in the electrochemical detection of carbohydrates after anion exchange separation was evaluated.

• 대한수학회지
• /
• 제37권4호
• /
• pp.625-643
• /
• 2000

In this paper we formulate an optimal control problem governed by time-delay Volterra integral equations; the problem includes control constraints as well as terminal equality and inequality constraints on the terminal state variables. First, using a special type of state and control variations, we represent a relatively simple and self-contained method for deriving new necessary conditions in the form of Pontryagin minimum principle. We show that these results immediately yield classical Pontryagin necessary conditions for control processes governed by ordinary differential equations (with or without delay). Next, imposing suitable convexity conditions on the functions involved, we derive Mangasarian-type and Arrow-type sufficient optimality conditions.

• 대한기계학회논문집A
• /
• 제21권2호
• /
• pp.337-345
• /
• 1997

An analysis is presented for the response of a beam constrained by a nonlinear spring to a harmonic excitation. The system is governed by a linear partial differential equation with a nonlinear boundary condition. The method of multiple scales is used to reduce the nonlinear boundary value problem to a system of autonomous ordinary differential equations of the amplitudes and phases. The case of the third-order subharmonic resonance is considered in this study. The autonomous system is used to determine the steady-state responses and their stability.

• 한국콘크리트학회:학술대회논문집
• /
• 한국콘크리트학회 2005년도 봄학술 발표회 논문집(I)
• /
• pp.127-130
• /
• 2005

The purpose of this study is to investigate the flexural behavior of reinforced concrete beam members exposed to high temperature. In order to study the flexural behaviors, the 17 specimens have been tested with variables of reinforcement ratios($0.5\rho_{max},\rho_{min}$), heating conditions(nonheating, 400$^{circ}C$, 600$^{circ}C$, 800$^{circ}C$ heating and 1 hour preservation) and loading state(stressed and residual state). The results show that the stiffness and strength of specimens are lower when they are exposed to higher temperature and the pattern of crack and color of specimens exposed to fire are different from ordinary concrete members.

• 전기의세계
• /
• 제31권1호
• /
• pp.59-67
• /
• 1982

This paper suggests easy stabilization methods for linear time-varying systems with delay in the state. While existing methods employ the function space concept, the methods introduced in this paper transform the delay systems into the non-delay systems so that the well known methods for finite dimensional systems can be utilized. Particularly the intervalwise predictor is introduced and shown to satisfy an ordinary system. Control laws stabilizing the non-delay systems satisfied by this predictor will be shown to at least pointwise stabilize the delay systems with the additional strong possibility of true stabilization. In order to combine two steps of the predictor method, first transformation and then stabilization, an intervalwise regulator problem is suggested whose optimal control laws incorporate the intervalwise predictor as an integral part and also at least pointwise stabilize the delay systems. Since the above mentioned methods render the periodic feedback gains for time invariant systems the pointwise predictor and regulator are introduced in order to obtain the constant feedback gains, with additional stability properties. The control laws given in this paper are perhaps simplest and easiest to implement.

• 대한전기학회논문지
• /
• 제40권12호
• /
• pp.1302-1307
• /
• 1991

This paper presents robustness properties of Kalman filters for linear time-invariant systems with delays in both the state and the output. The circle condition concerning the return difference matrix is derived. From the circle condition, it can be seen that the Kalman filter guarantees such nondivergence margins as (1/2,$\infty$) gain margin and $\pm$60$^{\circ}$phase margin, which are the same as those for ordinary systems. The results in this paper might be expected to make theoretical background on extending the LQG/LTR method to systems with delay in the output.

• Biotechnology and Bioprocess Engineering:BBE
• /
• 제7권6호
• /
• pp.362-366
• /
• 2002

A mathematical model has been developed for describing the oxygen concentration during the exponential growth of microorganisms, in a static solid substrate bed supported on a tray fermentor. The model equations comprise of one partial differential equation for mass transfer and an ordinary differential equation of growth. After nondimensionlisation, analytical solution tn the model has been obtained by the method of Laplace transforms. An expression for critical thickness of bed is deduced from the model equation. The significance of the model in the design of tray fermentors is discussed. The validity of the discussion is verified by taking an illustration from the literature.

• 한국염색가공학회지
• /
• 제10권3호
• /
• pp.36-42
• /
• 1998

The dyeabilities of C.I. Reactive Blue 19(B19, MW ; 626), C.I. Reactive Blue 4(B4, MW ; 637) and C.I. Reactive Black 5(B5, MW : 991) were investigated. Initial dyeing rates were increased and the amount of dye on the fabric at equilibrium was decreased with temperature like other ordinary dyeing processes. Activation entropy$(\Delta{S}^*)$ was decreased because of loose bonding between dyestuffes and fiber molecules at transition state. It can be clarified that the entire reaction is exothermic and the number of molecular species at transition state becomes greater from decrease in activation enthalpy$(\Delta{H}^*)$ and the increase in activation free energy$(\Delta{G}^*)$ with temperature, respectively. The amount of B19 on the fabric at equilibrium was greater than that of B4, because B4 became unreactive towards textile substrates through hydrolysis. Due to the biggest size of the dye molecule, the reaction rate of B5 was the slowest but its difunctional group played an important role in achieving the greatest amount of dye on the fabric at equilibrium.

• Bulletin of the Korean Chemical Society
• /
• 제1권2호
• /
• pp.68-70
• /
• 1980

1,4,5,8-Tetraazaphenanthrene, a new tetraazaheteroaromatic compound, has been synthesized photochemically in 90 % yield and quantum yield of $5.1{\times}10^{-2}$ from dilute benzene solutions of 1,2-bispyrazyl ethylene(BPE) in the presence of oxygen as an oxidant. Iodine was not appropriate oxidant because of strong complexing with BPE and also enhanced intersystem crossing of BPE and thereby decreasing the photocyclization of BPE. Salt effect, solvent effect, and quenching and sensitization studies on the photocyclization of BPE have shown that ($^l(n, {\pi}^*$) is the reactive state for the cyclization in comparison to ($^1{\pi}, {\pi}^*$) state for the ordinary stilbene derivatives.

• Translational and Clinical Pharmacology
• /
• 제26권3호
• /
• pp.115-117
• /
• 2018

This tutorial explains the basic principles of mechanistic ligand-receptor interaction model, which is an operational model of agonism. A growing number of agonist drugs, especially immune oncology drugs, is currently being developed. In this tutorial, time-dependent ordinary differential equation for simple $E_{max}$ operational model of agonism was derived step by step. The differential equation could be applied in a pharmacodynamic modeling software, such as NONMEM, for use in non-steady state experiments, in which experimental data are generated while the interaction between ligand and receptor changes over time. Making the most of the non-steady state experimental data would simplify the experimental processes, and furthermore allow us to identify more detailed kinetics of a potential drug. The operational model of agonism could be useful to predict the optimal dose for agonistic drugs from in vitro and in vivo animal pharmacology experiments at the very early phase of drug development.