• East Asian mathematical journal
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• 제36권1호
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• pp.81-90
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• 2020

Many compartment models assume a kinetically homogeneous amount of materials that have well-stirred compartments. However, based on observations from such processes, they have been heuristically fitted by exponential or gamma distributions even though biological media are inhomogeneous in real environments. Fractional differential equations using a specific kernel in Pharmacokinetic/Pharmacodynamic (PKPD) model are recently introduced to account for abnormal drug disposition. We discuss a tumor growth inhibition (TGI) model using fractional-order derivative from it. This represents a tumor growth delay by cytotoxic agents and additionally show variations in the equilibrium points by the change of fractional order. The result indicates that the equilibrium depends on the tumor size as well as a change of the fractional order. We find that the smaller the fractional order, the smaller the equilibrium value. However, a difference of them is the number of concavities and this indicates that TGI over time profile for fitting or prediction should be determined properly either fractional order or tumor sizes according to the number of concavities shown in experimental data.

• 산업기술연구
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• 제16권
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• pp.83-95
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• 1996

The equilibrium beach profiles with the effects of random waves and nonuniform grain size in the surf zone are derived from the Thornton and Guza(1983)'s energy dissipation model. The derived beach profiles are the functions of the breaking wave strength, the frequency of the incident wave, and the wave induced-energy dissipation at breaking point. It is not confirmed that the equilibrium beach profiles are better agreement with the measured profiles than the classical profiles. However, the characteristic of the changes of the beach profiles with respect to the breaking wave stgrngth and the frequency of the incident wave can be analyzed which has not been studied by the classical model.

• 한국환경과학회지
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• 제16권8호
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• pp.907-912
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• 2007

Ion exchange resin was used to remove silica ion at ultralow concentration. The effects of temperature, type of ion exchange resin and single/mixed-resin systems on removal efficiency were estimated. As temperature increased, the slope of concentration profile became stiff, and the equilibrium concentration was higher. In the single resin system, the removal of silica was continued up to 400 min, but the silica concentration was recovered to initial concentration after 400 min due to the effect of dissolved $CO_2$. In the mixed-resin system it took about 600 min to reach equilibrium. Because of faster cation exchange reaction than anion exchange reaction, the effect of $CO_2$ could be removed. Based on the experimental results carried out in the mixed-resin system, the selectivity coefficients of silica ion for each ion exchange resin were calculated at some specific temperatures. The temperature dependency of the selectivity coefficient was expressed by the equation of Kraus-Raridon type.

• 한국경영과학회지
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• 제35권4호
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• pp.55-79
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• 2010

This study deals with a model for platform competition in a two-sided market. We suppose there are both direct and indirect network externalities between suppliers and users of each platform. Moreover, we suppose that both users and suppliers are distributed in their relative affinity for each platform type. That is, each user [supplier] has his/her own preferential position toward each platform, and users [suppliers] are horizontally differentiated over [0, 1]. And for analytical tractability, some parameters like direct and indirect network externalities are the same across the markets. Given the parameters and the pricing profile, users and suppliers conduct subscription game, where participants select the platform that gives them the highest payoffs. This game proceeds according to a replicator dynamics of the evolutionary game, which is simplified by properly defining gains from participant's strategy in the subscription game. We find that depending on the strength of these network effects, there might either be multiple stable equilibria, at which users and suppliers distribute across both platforms, or one unstable interior equilibrium corresponding to the market tipping in favor of either platform. In both cases, we also consider the pricing power of competing platform providers under the framework of the Stackelberg game. In particular, our study examines the possible effects of the type of competition between platform providers, which may constrain the equilibrium selection in the subscription game.

• 대한설비공학회:학술대회논문집
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• 대한설비공학회 2008년도 하계학술발표대회 논문집
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• pp.395-401
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• 2008

Since metallic foam will increase the performance of heat exchanger, it have caused many researcher's attention recently. Our research base on the model that metallic foams applied to heat exchanger. In this case, there is three kind of heat transfer mechanisms, heat conduction in fibers, heat transfer by conduction in fluid phase, and internal heat change between solid and fluid phases. In this paper we study both the hydraulic and thermal aspect performance. Pressure drop along air flow direction will be presented. As thermal aspect, we first discuss the acceptance of applying thermal equilibrium among the two phases. then to calculate the dimensionless temperature profile, the heat transfer coefficient and Nu number in 14 metallic foams(7 Aluminium foams, 7 FeCrAlY foams). All these discussion is based on the same velocity u=2 m/s.

• 한국해양공학회지
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• 제32권5호
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• pp.351-360
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• 2018

The construction of large scale harbor structures at Maengbang beach, which is located on the eastern coast of Korea, is of great concern because it may cause disastrous beach erosion in the vicinity. Therefore, a hydraulic model experiment was conducted to examine the morphological changes after such construction. The water depth was scaled using the method of Van Rijn (2010), which is a well-known scale law, but the results appeared to be overestimated. The present study developed a new scale law that applies an equilibrium beach profile formula to scale the model evolution to the prototype scale. When compared with survey data observed at Maengbang beach, the proposed method showed better agreement than the method of Van Rijn (2010).

• 공업화학
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• 제8권3호
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• pp.403-409
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• 1997

데옥시리보뉴클레오사이드의 평형상수를 단이론과 모멘트방법에 의해서 일정 용매 조성법 역상 고성능 액체크로마토그래피(Reversed-Phase High Performance Liquid Chromatography)를 이용하여 계산하였다. 이동상은 물을 기본으로 유기용매로서 acetonitrile과 methanol을 사용하였다. 단이론은 선형 흡착식으로부터 나온 모델로 일정한 유속으로 용매가 column의 단을 평형을 이루면서 지나간다는 가정 하에서 이루어졌다. 모멘트 방법은 실험결과로부터 얻은 peak에서 첫 번째 절대 모멘트를 구하여 평형상수를 계산하는 방법이다. 이 두가지 방법에 의한 다섯 가지의 데옥시리보뉴클레오사이드의 평형상수값은 서로 근사하였고, 용량인자를 이용하여 구한 평형상수의 값과도 비슷하였다. 평형상수는 이동상에서의 organic modifier의 양의 semi-log의 관계식으로 표리되었고 단이론에 의해 계산된 용출곡선은 실험값과 잘 일치하였다.

• 한국해안해양공학회지
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• 제6권4호
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• pp.375-388
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• 1994

폭이 좁은 조파 수조에서 해저지형변환에 대한 이동상실험을 수행할 때, 유체력과 해저지형변환은 파진행 방향으로의 2차원 평면내에 한하는 것으로 가정된다. 그러므로 해저지형이 수조내부 방향으로의 변환 등 3차원적인 형태 등은 대체로 무시되거나 또는 계측시의 평균지형 등으로 대표된다. 본 논문에서는 상당히 미세한 토사로 이루어진 해저지형변환에 대한 이동상실험을 통하여 (1)상대적으로 폭이 좁은 수로내에서 3차원 현상이 발생할 수 있는 지의 여부 및 (2) 3차원 현상 발생에 대한 여러 가지 원인 및 그들의 상관 관계 등을 조사하였다. 그 결과 유체력과 해저지형변환간에 서서히 발생하는 상호 간섭(slow feedback)을 통하여 해저지형의 수로내 폭 방향으로의 변환 등 3차원적인 형상 등이 발생 성장되며, 위 현상은 해저지형이 그 변환단계에 있어 평형상태(equilibrium)에 접근할 때 쉽게 발생한다는 것을 알게 되었다.

• Computers and Concrete
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• 제16권6호
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• pp.847-864
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• 2015

This study aimed to develop models of sulfate diffusion and ettringite content profile in cement paste for the predication of the damage behavior in cement paste subject to external sulfate. In the models, multiphase reaction equilibrium between ions in pore solution and solid calcium aluminates phases and the microstructure changes in different positions of cement paste were taken into account. The distributions of expansive volume strain and expansion stress in cement paste were calculated based on the ettringite content profile model. In addition, more sulfate diffusion tests and SEM analyses were determined to verify the reliability and veracity of the models. As the results shown, there was a good correlation between the numerical simulation results and experimental evidences. The results indicated that the water to cement ratio (w/c) had a significant influence on the diffusion of sulfate ions, ettringite concentration profile and expansion properties in cement paste specimens. The cracking points caused by ettringite growth in cement paste specimens were predicted through numerical methods. According to the simulation results, the fracture of cement paste would be accelerated when the specimens were prepared with higher w/c or when they were exposed to sulfate solution with higher concentration.

• 한국태양에너지학회 논문집
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• 제30권1호
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• pp.34-41
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• 2010

Gas hydrates are solid solutions when water molecules are linked through hydrogen bonding and create host lattice cavities that can enclose many kinds of guest(gas) molecules. There are plenty of methane(gas) hydrate in the earth and distributed widely at offshore and permafrost. Several schemes, to produce methane hydrates, have been studied. In this study, depressurization method has been utilized for the numerical model due to it's simplicity and effectiveness. IMPES method has been used for numerical analysis to get the saturation and velocity profile of each phase and pressure profile, velocity of dissociation front progress and the quantity of produced gas. The values calculated for the sample length of 10m, show that methane hydrates has been dissolved completely in approximately 223 minutes and the velocity of dissociation front progress is 3.95㎝ per minute. The volume ratio of the produced gas in the porous media is found to be about 50%. Analysing the saturation profile and the velocity profile from the numerical results, the permeability of each phase in porous media is considered to be the most important factor in the two phase flow propagation. Consequently, permeability strongly influences the productivity of gas in porous media for methane hydrates.