• Title/Summary/Keyword: Model equations

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Simulation of lesion-to-liver contrast difference curves in Dynamic Hepatic CT with Pharmacokinetic Compartment Modeling (Pharmacokinetic Compartment Modeling을 이용한 나선식 CT에서의 간암-간 대조 곡선의 Simulation)

  • S.J. Kim;K.H. Lee;J.H. Kim;J.K. Han;B.G. Min
    • Journal of Biomedical Engineering Research
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    • v.20 no.2
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    • pp.173-182
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    • 1999
  • Contrast-enhanced CT has an important role in assessing liver lesions, the optimal protocol to get most effective result is not clear. The mein goal when deciding injention protocol is to optimize lesion detectability with rapid scanning when lesion to liver contrast is maximum. For this purpose, we developed a physiological model of the contrast medium enhancement based on the compartment modeling and pharmacokinetics. Blood supply to liver is achieved in two paths. This dual supply characteristic distinguishes the CT enhancement of liver from that of the other organs. The first path is by hepatic artery and to second, by portal vein. However, it is assumed that only gepatic artery can supply blood to hepatocellular carcinoma(HCC) compartment, thus, the difference of contrast enhancement is resulted between normal liver tissue and hepatic tumor. By solving differential equations for each compartment simultaneously using the computer program Matlab, CT contrast-enhancement curves were simulated. The simulated enhancement curves for aortic, hepatic, portal vein, and HCC compartments were compared with the mean enhancement curves from 24 patients exposed to the same protocols as the simulation. These enhancement curves showed a good agreement. Furthermore, we simulated lesion-to-liver curves for various injection protocols, and the effects were analyzed. The variables to be considered in the injection protocol were injection rate, dose, and concentration of contrast material. These data may help to optimize scanning protocols for better diagnosis.

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Design and Evaluation of a Microcomputer-based Vacuum Drying System for Shiitake Mushrooms (마이크로컴퓨터 시스템을 이용한 표고버섯의 감압건조에 대한 연구)

  • Choi, Jae-Yong;Kim, Kong-Hwan;Chun, Jae-Kun
    • Korean Journal of Food Science and Technology
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    • v.19 no.6
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    • pp.550-555
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    • 1987
  • Strain gauges attached on the Bourdon tube and load cell were used as the sensors for measuring the vacuum pressure in drying chamber and the weight loss of Shiitake mushrooms respectively. The vacuum drying system was interfaced further with the Bear II microcomputer. The interface devices used were built with such IC chips as MC 6821, ADC 0809, SN 74244 and SN 7424. The relationship between readings of vacuum gauge (P, mmHg) and digital outputs (D) from the microcomputer was represented by P =3.08 D-13.4875(r=0.9999). The weights of drying sample (W) were also related with the digital outputs (D) by W=0.4076 D-6.4762 (r=0.9999). During the vacuum drying of Shiitake mushrooms. the data on pressure and weight were recorded at regular intervals using an acquisition program on the microcomputer system. The Page model was fitted well to the drying data of Shiitake mushrooms. resulting in the following empirical equations : $(M-M_e)/(M_o-M_e)=\exp(-0.1569t^{1.0048})$ at 400 mm Hg up to 14 hours and $(M-M_e)/(M_o-M_e)=\exp(-0.1385_t^{1.2688})$ at 600 mm Hg up to 8 hours.

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Magneto-impedance and Magnetic Relaxation in Electrodeposited Cu/Ni80Fe20 Core/Shell Composite Wire (전기도금 된 Cu/Ni80Fe20 코어/쉘 복합 와이어에서 자기임피던스 및 자기완화)

  • Yoon, Seok Soo;Cho, Seong Eon;Kim, Dong Young
    • Journal of the Korean Magnetics Society
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    • v.25 no.1
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    • pp.10-15
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    • 2015
  • The model for the magneto-impedance of composite wires composed of highly conductive nonmagnetic metal core and soft magnetic shell was derived based on the Maxwell's equations. The Cu($100{\mu}m$ diameter)/$Ni_{80}Fe_{20}$($15{\mu}m$ thickness) core/shell composite wire was fabricated by electrodeposition. The impedance spectra for the $Cu/Ni_{80}Fe_{20}$ core/shell composite wire were measured in the frequency range of 10 kHz~10 MHz under longitudinal dc magnetic field in 0 Oe~200 Oe. The spectra of complex permeability in circumferential direction were extracted from the impedance spectra by using the derived model. The extracted spectra of complex permeability showed relaxation-type dispersion which is well curve-fitted with Debye equation with single relaxation frequency. By analyzing the magnetic field dependence of the complex permeability spectra, it has been verified that the composite wire has magnetic anisotropy in longitudinal direction and the origin of the single relaxation process is the magnetization rotation in circumferential direction.

Changes of Free Sugar and Organic Acid in the Osmotic Dehydration Process of Apples (사과의 삼투건조시 유리당과 유기산의 변화)

  • Youn, Kwang-Sup;Lee, Jun-Ho;Choi, Yong-Hee
    • Korean Journal of Food Science and Technology
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    • v.28 no.6
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    • pp.1095-1103
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    • 1996
  • In order to minimize the deterioration of dried apple quality, changes of free sugar content, organic acid and ascorbic and during osmotic dehydration with sucrose at various temperature, concentration and immersion time were investigated in this study, total sugar increased as the temperature, concentration and immersion time were increased. Sucrose showed the largest change in content while fructose and glucose showed no and small changes, respectively. Large amounts of malic and fumaric acids, and small amounts of oxalic, citric, maleic and succinic acids were detected. Organic acids were high at low temperature treatment, and became higher with increasing concentration. Loss of ascorbic acid was small at the low temperature and high concentration. Effect of immersion time was negligible. Changes of free sugar, and organic and ascorbic acid followed the first-order and second-order reaction rate equations, respectively. Arrhenius equation was applied to determine the effect of temperature on reaction rate constants with high $r^2$. To predict the changes of quality, a model was established by using the optimum functions of temperature, concentration and immersion time. The model had high $r^2$ value for the quality changes during drying.

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Continuum Based Plasticity Models for Cubic Symmetry Lattice Materials Under Multi-Surface Loading (다중면 하중하에 정방향 대층구조를 가진 격자재료의 연속적인 소성모델)

  • Seon, Woo-Hyun;Hu, Jong-Wan
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.2 no.3
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    • pp.1-11
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    • 2011
  • The typical truss-lattice material successively packed by repeated cubic symmetric unit cells consists of sub-elements (SE) proposed in this study. The representative continuum model for this truss-lattice material such as the effective strain and stress relationship can be formulated by the homogenization procedure based on the notation of averaged mechanical properties. The volume fractions of micro-scale struts have a significant influence on the effective strength as well as the relative density in the lattice plate with replicable unit cell structures. Most of the strength contribution in the lattice material is induced by axial stiffness under uniform stretching or compression responses. Therefore, continuum based constitutive models composed of homogenized member stiffness include these mechanical characteristics with respect to strength, internal stress state, material density based on the volume fraction and even failure modes. It can be also recognized that the stress state of micro-scale struts is directly associated with the continuum constitutive model. The plastic flow at the micro-scale stress can extend the envelope of the analytical stress function on the surface of macro-scale stress derived from homogenized constitutive equations. The main focus of this study is to investigate the basic topology of unit cell structures with the cubic symmetric system and to formulate the plastic models to predict pressure dependent macro-scale stress surface functions.

2-Dimensional Unsteady Modeling of Spray Flame Formed in a Laminar Counterflow Field - Effects of Equivalence Ratio and Fuel - (층류 대향류장에 형성된 분무화염의 2차원 비정상 모델링 -당량비 및 연료종에 관한 영향-)

  • Hwang, Seung-Min;Chung, Jin-Do;Seo, Byung-Min;Kim, Young-Woo
    • Journal of Korean Society of Environmental Engineers
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    • v.31 no.10
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    • pp.933-940
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    • 2009
  • To evaluate characteristics in spray flame, laminar counterflow is investigated on the effects of equivalence ratio and fuel by a two-dimensional DNS (direct numerical simulation). For the gaseous phase, Eulerian mass, momentum, energy, and species conservation equations are solved. For the disperse phase, all individual droplets are calculated by the Lagrangian method without the parcel model. n-Decane ($C_{10}H_{22}$) and n-heptane ($C_7H_{16}$) is used as a liquid spray fuel, and a one-step global reaction is employed for the combustion reaction model. As equivalence ratio increases, the fuel ignites early and the high temperature region spreads wider. The peak value of temperature, however, tends to once increase and then decreases with increasing equivalence ratio. The decrease in the peak value of temperature for the higher equivalence ratio condition is caused by the cooling effect associated with droplet group combustion. Since the evaporation of n-heptane is early, the high temperature region spreads wider than ndecane, but the peak values of temperature for both n-heptane and n-decane is almost same.

Effect of Food Humectant on Lowering Water Activity of Casing Kamaboko 3. Effect of Humectants Used in Combination (포장어묵의 수분활성저하에 미치는 식품첨가제의 영향 3. 식품첨가제의 병용효과)

  • JEONG Hae-Kyung;KIM Dong-Soo;CHUN Seok-Jo;JO Kil-Seok;PARK Yeung-HO
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.16 no.2
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    • pp.88-96
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    • 1983
  • The effect of lowering water activity of various humectants has been reported in the previous papers. In this study, that effect of humectants used in combination with each other was discussed. Additionally, the Aw measurements were also compared to the predicted values of Aw derived from the equation of Raoult's law and the linear slope method by Sloan and Labuza. Each mixed humectant was thought to be salted-out by the other, and thus Aw values were observed to be somewhat lower as the result in all model preparations. The effect of lowering water activity by NaCl was the highest, and the efficiency of reduction of Aw was decreased in the order of NaCl, sodium lactate, glycerin, propylene glycol and sorbitol when each of them was combinated with other humectants. Aw values calculated by the equation of Raoult's law were not agreed so well to the measured Aw, so it was likely not to be the useful method for predicting Aw values in mixed humectants to far as they have showed higher ability for lowering Aw in the previous papers. The equations of prediction were derived from Aw values to be measured actually in the model Kamaboko.

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Study on the Micellization of CPC/Brij 35 Mixed Surfactant Systems in Water (순수 물에서 CPC/Brij 35 혼합계면활성제의 미셀화에 대한 연구)

  • Gil, Han-Nae;Lee, Byung-Hwan
    • Journal of the Korean Chemical Society
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    • v.53 no.2
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    • pp.118-124
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    • 2009
  • The values of critical micelle concentration (CMC) and counter ion binding constants (B) in a micellar state of CPC (1-hexadecylpyridinium chloride) with Brij 35 (polyoxyethylene(23) lauryl ether) in water were determined as a function of ${\alpha}_1$ (the overall mole fraction of CPC) by the use of electric conductivity method. Various thermodynamic parameters ($X_i,\;{\gamma}_i,\;C_i,\;a_{i}^{M},\;\beta,\;and\;{\Delta}H_{mix}$) were calculated and analyzed by means of the equations derived from the non-ideal mixed micellar model. And thermodynamic parameters (${\Delta}{G^o}_m,\;{\Delta}{H^o}_m,\;and\;{\Delta}{S^o}_m$) for the micellization of CPC/Brij 35 mixtures were also calculated from the temperature dependence of the CMC values. The values of ${\Delta}{G^o}_m$ are all negative, but the values of ${\Delta}{S^o}_m$ and ${\Delta}{H^o}_m$ are positive or negative, depending on the measured temperature and ${\alpha}_1$.

Dynamic Modeling and Simulation of a Towing Rope using Multiple Finite Element Method (다물체 요소이론을 이용한 예인줄 동역학의 모델링 및 시뮬레이션)

  • Yoon, Hyeon-Kyu;Lee, Hong-Seok;Park, Jong-Kyu;Kim, Yeon-Gyu
    • Journal of Navigation and Port Research
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    • v.36 no.5
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    • pp.339-347
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    • 2012
  • After towing rope connecting a barge to a tug was subdivided into multiple finite elements, then those dynamic models was established using Newton's second law and considering the external force and moment such as tension, drag, Coriolis force, gravity, buoyancy, and impact due to free surface acting on each element. While the previous research on the model of towing rope considered only translation, five-degree-of-freedom equations of motion except roll based on the body-fixed frame were established in this paper. All elements are connected by a spring and a damper, and the stiffness of the spring was set as the equivalent value of the real rope. In order to confirm the established multiple finite element model, various scenarios such as freely falling of towing rope in the air and above the free surface, accelerating of a tug which tows a barge connected by towing rope, and sinusoidal moving of a tug were set up and simulated. As the results, the trajectories of the tug, the barge, and the towing rope showed good tendencies to the ones of real expected situations.

Analytical Analysis of Segmented Arc Plasma Torch for Plasma Wind Tunnel Facility (플라즈마 풍동 시설용 분절형 아크 플라즈마 토치의 해석적 설계변수 해석)

  • Seo, Jun-Ho;Choi, Soo-Seok;Choi, Seong-Man;Hong, Bong-Gun
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2010.11a
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    • pp.768-774
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    • 2010
  • A parametric study is conducted for the segmented arc plasma torch with the input power and current of 0.4 MW and 300 A, respectively. For this purpose, we use the analytical relationship equations between plasma temperature, inner diameter (R) and length (L) of the torch constrictor at the given input power and current conditions based on the arc channel model. The results reveal that arc plasma temperatures show non-linear behavior or absence corresponding to the variations of L and R when their values become larger than 1.25 m and 7.5 mm, respectively. For L < 1.25 m and R < 7.5 mm, however, they can increase monotonically as L increase or R decrease when one of both parameters is fixed. From these parametric study results, optimum ranges of R and L are suggested as $5.5mm{\leq}R{\leq}7.0mm$ and $0.5m{\leq}L{\leq}1.0m$ for 0.4 MW class segmented arc plasma torch, under which stable arc plasma with the temperatures of ~15,000 K can be achived at the input currents of ~300 A.

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