• Title/Summary/Keyword: Steady State

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QUALITATIVE ANALYSIS OF A DIFFUSIVE FOOD WEB CONSISTING OF A PREY AND TWO PREDATORS

  • Shi, Hong-Bo
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.6
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    • pp.1827-1840
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    • 2013
  • This paper is concerned with the positive steady states of a diffusive Holling type II predator-prey system, in which two predators and one prey are involved. Under homogeneous Neumann boundary conditions, the local and global asymptotic stability of the spatially homogeneous positive steady state are discussed. Moreover, the large diffusion of predator is considered by proving the nonexistence of non-constant positive steady states, which gives some descriptions of the effect of diffusion on the pattern formation.

ON M/M/3/3 RETRIAL QUEUEING SYSTEM

  • KIM, YEONG CHEOL
    • Honam Mathematical Journal
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    • v.17 no.1
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    • pp.141-147
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    • 1995
  • We find a method finding the steady-state probabilities of M/M/3/3 retrial queueing system.

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Single-stranded DNA Enhances the Rate of Product Release During Nucleotide Hydrolysis Reaction by T7 DNA Helicase

  • Kim, Dong-Eun;Jeong, Yong-Joo
    • Bulletin of the Korean Chemical Society
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    • v.27 no.10
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    • pp.1618-1622
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    • 2006
  • Bacteriophage T7 gp4A' is a ring-shaped hexameric DNA helicase that catalyzes duplex DNA unwinding using dTTP hydrolysis as an energy source. To investigate the effect of single-stranded DNA (ssDNA) on the kinetic pathway of dTTP hydrolysis by the T7 DNA helicase complexed with ssDNA, we have first determined optimal concentration of long circular M13 single-stranded DNA and pre-incubation time in the absence of $Mg^{2+}$ which is necessary for the helicase-ssDNA complex formation. Steady state dTTP hydrolysis in the absence of $Mg^{2+}$ by the helicase-ssDNA complex provided $k_{cat}$ of $8.5\;{\times}\;10^{-3}\;sec^{-1}$. Pre-steady state kinetics of the dTTP hydrolysis by the pre-assembled hexameric helicase was monitored by using the rapid chemical quench-flow technique both in the presence and absence of M13 ssDNA. Pre-steady state dTTP hydrolysis showed distinct burst kinetics in both cases, indicating that product release step is slower than dTTP hydrolysis step. Pre-steady state burst rates were similar both in the presence and absence of ssDNA, while steady state dTTP hydrolysis rate in the presence of ssDNA was much faster than in the absence of ssDNA. These results suggest that single-stranded DNA stimulates dTTP hydrolysis reaction by T7 helicase by enhancing the rate of product release step.

Flow cytometry analysis of DNA ploidy of transmissible venereal tumors in the Jindo dogs (유식세포 분석법에 의한 진도개 전파성 성기육종의 DNA Ploidy 유형분석)

  • Park, Nam-Yong;Chung, Chi-Young;Lee, Gye-Woong;Park, Young-Seok
    • Korean Journal of Veterinary Pathology
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    • v.2 no.2
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    • pp.127-138
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    • 1998
  • Transmissible venereal tumor(TVT) is a naturally occurring contagious neoplasm which can be transmitted by mechanical contact during mating in dogs and transplanted as intact viable cells to dogs and other members of canine family such as coyotes, jackals, wolves, and foxes. The incidence of this tumors tends to increase in Korean native Jindo dogs. This is probably due to the high density and unrestrained management system. With time, TVT reaches the maximum size and then tends to regress spontaneously unless individuals are immunologically compromised. It consists of different types of cells depending on the stage. In this study, 10 tumors were selected from Jindo dogs. These were histologically calssified into three stages; progressive, steady-state, and regressive. Mitotic figures were counted, and their histological appearance at each stage is compared with their DNA ploidy. Histologically, 5 tumor cases were calssed as the progressors, 3 cases as the steady-state tumors, and 2 cases as regressors. Progressors were composed of round cells with large nuclei containing conspicuous nucleoli and frequent mitotic figures. A few spindle-shaped cells and inflammatory cells including mainly lymphocytes, a few neutrophils and macrophages were also seen. In the steady-state tumors, there was an increased number of spindle shaped cells and mitotic figures were rare. Six tumors were diploid and four were aneuploid with the variation coefficient of 7.02. Two of five progressive tumors were aneuploid. Two of three steady-state tumors were aneuploid while both tumors at the regressive stage were diploid. Progressive and steady-state tumors had a much larger S/G2M fraction and a higher mitotic index than regressive tumors. Two tumors which persisted for more than one year were aneuploid. These results suggest that the progressive and steady-state tumors had more active cell division than the regressive neoplasms.

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Robust Kalman filtering for the TS Fuzzy State Estimation (TS 퍼지 상태 추정에 관한 강인 칼만 필터)

  • Noh, Sun-Young;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 2006.07d
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    • pp.1854-1855
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    • 2006
  • In this paper, the Takagi-Sugeno (TS) fuzzy state estimation scheme, which is suggested for a steady state estimator using standard Kalman filter theory with uncertainties. In that case, the steady state with uncertain can be represented by the TS fuzzy model structure, which is further rearranged to give a set of uncertain linear model using standard Kalman filter theory. And then the unknown uncertainty is regarded as an additive process noise. To optimize fuzzy system, we utilize the genetic algorithm. The steady state solutions can be found for proposed linear model then the linear combination is used to derive a global model. The proposed state estimator is demonstrated on a truck-trailer.

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Steady and Transient State Analysis on Three Phase-in One Enclosure Type HTS Cable (3상 일괄형 Pipe Type HTS 케이블의 정상 및 과도상태 해석)

  • Jang, Ju-Yeong;Lee, Jong-Beom;Kim, Yong-Kap
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.10
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    • pp.1748-1753
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    • 2010
  • This paper suggests an improved technique to establish the modeling regarding steady and transient state on three phase-in one cryostat type HTS(High Temperature Superconducting) cable. The proposed modeling is established using EMTP/ATPDraw and TACS and MODELS provided by that. It has higher accuracy than the conventional method, as the actual HTS cable is modelled. Steady and transient state analysis performed by EMTP/ATPDraw calculate the current of conductor, shield and former, respectively. In case of the transient state modeled quench state occurred by a single line-to-ground fault, current of conductor shield and former are also calculated, respectively. Especially, various fault resistances and angles are considered to improve the reliability during transient state analysis. Analysis results reveal that the proposed technique improves the accuracy of modeling.

Controlling Mammalian Cell Metabolism in Bioreactors

  • Hu, Wei-Shou;Weichang, Zhou;Lilith F. Europa
    • Journal of Microbiology and Biotechnology
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    • v.8 no.1
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    • pp.8-13
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    • 1998
  • Animal cells in culture typically convert most of the glucose they consume into lactate. The accumulation of lactate, however, is commonly cited as one of the factors that inhibit cell growth and limit the maximum cell concentration that can be achieved in culture. The specific production of lactate and the amount of glucose converted to lactate can be reduced when cells are grown in a fed-batch culture in which the residual glucose concentration is maintained at low levels. Such a fed-batch culture was used to grow and adapt hybridoma cells into a low-lactate-producing state before changing into continuous culture. The cells reached and maintained a high viable cell concentration at steady state. In a similar manner, cells that were initially grown in batch culture and a glucose-rich environment reached a steady state with a cell concentration that is much lower. The feed composition and dilution rates for both cultures were similar, suggesting steady state multiplicity. From a processing perspective the desired steady state among those is the one with the least metabolite production. At such seady state nutrient concentration in the feed can be further increased to increase cell and product concentrations without causing the metabolite inhibitory effect typically seen in a cell culture. Controlling cell metabolism in a continuous culture to reduce or eliminate waste metabolite production may significantly improve the productivity of mammalian cell culture processes.

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Effect of Groundwater Flow on the Behavior of Circular Vertical Shaft (지하수 유동을 고려한 원형수직구 거동분석)

  • Park, Heejin;Park, Jongjeon;Jeong, Sang-Seom
    • Journal of the Korean Geotechnical Society
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    • v.38 no.6
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    • pp.29-39
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    • 2022
  • This study investigates the behavior of a circular vertical shaft wall in the absence and presence of a groundwater table. The effects of wall deflection, backfill settlement, and earth pressure distribution around the circular vertical shaft caused by sequential excavations were quantified. The vertical shaft was numerically simulated for different excavation depths of the bearing layer (weathered soil, weathered rock, soft rock) and transient and steady-state flows in the absence of a groundwater table. The backfill settlements and influential area were much larger under transient flow conditions than in steady-state flow. On the contrary, the horizontal wall deflection was much larger in steady state than in the transient state. Moreover, less settlement was induced as the excavation depth increased from weathered soil to weathered rock to the soft rock layer. Finally, the horizontal stresses under steady- and transient-state flow conditions were found to exceed Rankine's earth pressure. This effect was stronger in the deeper rock layers than in the shallow soil layers.

A Matrix Method for the Analysis of Two - Dimensional Markovian Queues

  • Kim, Sung-Shick
    • Journal of Korean Institute of Industrial Engineers
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    • v.8 no.2
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    • pp.15-21
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    • 1982
  • This paper offers an alternative to the common probability generating function approach to the solution of steady state equations when a Markovian queue has a multivariate state space. Identifying states and substates and grouping them into vectors appropriately, we formulate a two - dimensional Markovian queue as a Markov chain. Solving the resulting matrix equations the transition point steady state probabilities (SSPs) are obtained. These are then converted into arbitrary time SSPs. The procedure uses only probabilistic arguments and thus avoids a large and cumbersome state space which often poses difficulties in the solution of steady state equations. For the purpose of numerical illustration of the approach we solve a Markovian queue with one server and two classes of customers.

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River Pollution Control Using Hierarchical Optimization Technique (계층적 최적화 기법을 이용한 강의 수질오염 제어)

  • 김경연;감상규
    • Journal of Environmental Science International
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    • v.4 no.1
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    • pp.71-80
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    • 1995
  • A discrete state space model for a multiple-reach river system is formulated using the dynamics of biochemical oxygen demand(BOD) and dissolved oxygen(DO). A hierarchical optimization technique, which is applicable to large-scale systems with time-delays in states, is also described to control stream quality in a river as an optimal manner based on the interaction prediction method. The steady state tracking error of the proposed method is determined analytically and a necessary and sufficient condition on which a constant target tracking problem has zero steady-state error is derived. Computer simulations for the river pollution model illustrate the algorithm.

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