• Title/Summary/Keyword: gamma model

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Dependence of an Interfacial Diels-Alder Reaction Kinetics on the Density of the Immobilized Dienophile: An Example of Phase-Separation

  • Min, Kyoung-Mi;Jung, Deok-Ho;Chae, Su-In;Kwon, Young-Eun
    • Bulletin of the Korean Chemical Society
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    • v.32 no.5
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    • pp.1679-1684
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    • 2011
  • Interfacial reactions kinetics often differ from kinetics of bulk reactions. Here, we describe how the density change of an immobilized reactant influences the kinetics of interfacial reactions. Self-assembled monolayers (SAMs) of alkanethiolates on gold were used as a model interface and the Diels-Alder reaction between immobilized quinones and soluble cyclopentadiene was used as a model reaction. The kinetic behavior was studied using varying concentrations of quinones. An unusual threshold density of quinones (${\Gamma}_c$ = 5.2-7.2%), at which the pseudo-first order rate constant started to vary as the reaction progressed, was observed. This unexpected kinetic behavior was attributed to the phase-separation phenomena of multi-component SAMs. Additional experiments using more phase-separated two-component SAMs supported this explanation by revealing a significant decrease in ${\Gamma}_c$ values. When the background hydroxyl group was replaced with carboxylic or phosphoric acid groups, ${\Gamma}_c$ was observed at below 1%. Also, more phase-separated thermodynamically controlled SAMs produced a lower critical density (3% < ${\Gamma}_c$ < 4.9%) than that of the less phaseseparated kinetically controlled SAMs (6.5% < ${\Gamma}_c$ < 8.9%).

A Regression-Based Approach for Central Warehouse Location Problem (중앙창고 입지선정을 위한 회귀분석기반 해법)

  • Yoo, Jae-Wook;Lee, Dong-Ju
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.32 no.2
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    • pp.57-65
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    • 2009
  • In continuous review inventory model, (${\varrho}$, ${\gamma}$) system, order quantity(${\varrho}$) and reorder point(${\gamma}$) should be determined to calculate inventory-related cost that consists of setup, holding, and penalty costs. The procedure to obtain the exact value of ${\varrho}$ and ${\gamma}$ is complex. In this paper, a regression analysis is proposed to get the approximate inventory-related cost without the determination of ${\varrho}$ and ${\gamma}$ in the case that the standard deviation(${\sigma}$) of the lead time demand is small or that the mean(${\mu}$) of the lead time demand is proportional to ${\sigma}$. To save inventory-related cost, central warehouses with (${\varrho}$, ${\gamma}$) system can be built. Central warehouse can provide some stores with products with the consideration of the tradeoff between inventory-related cost and transportation cost. The number and the location of central warehouses to cover all the stores are determined by a regression-based approach. The performance of the proposed approach is tested by using some computational experiments.

Modelling land surface temperature using gamma test coupled wavelet neural network

  • Roshni, Thendiyath;Kumari, Nandini;Renji, Remesan;Drisya, Jayakumar
    • Advances in environmental research
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    • v.6 no.4
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    • pp.265-279
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    • 2017
  • The climate change has made adverse effects on land surface temperature for many regions of the world. Several climatic studies focused on different downscaling techniques for climatological parameters of different regions. For statistical downscaling of any hydrological parameters, conventional Neural Network Models were used in common. However, it seems that in any modeling study, uncertainty is a vital aspect when making any predictions about the performance. In this paper, Gamma Test is performed to determine the data length selection for training to minimize the uncertainty in model development. Another measure to improve the data quality and model development are wavelet transforms. Hence, Gamma Test with Wavelet decomposed Feedforward Neural Network (GT-WNN) model is developed and tested for downscaled land surface temperature of Patna Urban, Bihar. The results of GT-WNN model are compared with GT-FFNN and conventional Feedforward Neural Network (FFNN) model. The effectiveness of the developed models is illustrated by Root Mean Square Error and Coefficient of Correlation. Results showed that GT-WNN outperformed the GT-FFNN and conventional FFNN in downscaling the land surface temperature. The land surface temperature is forecasted for a period of 2015-2044 with GT-WNN model for Patna Urban in Bihar. In addition, the significance of the probable changes in the land surface temperature is also found through Mann-Kendall (M-K) Test for Summer, Winter, Monsoon and Post Monsoon seasons. Results showed an increasing surface temperature trend for summer and winter seasons and no significant trend for monsoon and post monsoon season over the study area for the period between 2015 and 2044. Overall, the M-K test analysis for the annual data shows an increasing trend in the land surface temperature of Patna Urban.

A Manpower Distribution Model for Software Development Cycle (소프트웨어 개발주기 인력분포 모델)

  • 박석규;박중양;박재홍
    • Journal of the Korea Computer Industry Society
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    • v.5 no.1
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    • pp.9-18
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    • 2004
  • Successful project planning relies on a good estimation of the manpower required to complete a project in addition to the schedule options that may be available. Existing software manpower estimation models present the total manpower and instantaneous manpower distribution for the software life cycle. Putnam's Rayleigh and Phillai et al.'s Gamma models present a model with assumption that the manpower is needed at the system delivery. This means that 40 percent of total manpower is applied at the software development, and the other 60% is applied during maintenance phase. However Warburton observes the manpower is needed during development phase with the peak at the completion of the software design phase. So, the existing models were not appropriate to be applied to practical projects. This paper suggests the Sigmoid model which does not consider the point of manpower peak to fix the problem above. The suggested model showed some improvement when practical data was applied. Therefore, the Sigmoid model can be used as alternative of Rayleigh and Gamma model to estimate distribution of manpower during software development phas.

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The Marshall-Olkin generalized gamma distribution

  • Barriga, Gladys D.C.;Cordeiro, Gauss M.;Dey, Dipak K.;Cancho, Vicente G.;Louzada, Francisco;Suzuki, Adriano K.
    • Communications for Statistical Applications and Methods
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    • v.25 no.3
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    • pp.245-261
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    • 2018
  • Attempts have been made to define new classes of distributions that provide more flexibility for modelling skewed data in practice. In this work we define a new extension of the generalized gamma distribution (Stacy, The Annals of Mathematical Statistics, 33, 1187-1192, 1962) for Marshall-Olkin generalized gamma (MOGG) distribution, based on the generator pioneered by Marshall and Olkin (Biometrika, 84, 641-652, 1997). This new lifetime model is very flexible including twenty one special models. The main advantage of the new family relies on the fact that practitioners will have a quite flexible distribution to fit real data from several fields, such as engineering, hydrology and survival analysis. Further, we also define a MOGG mixture model, a modification of the MOGG distribution for analyzing lifetime data in presence of cure fraction. This proposed model can be seen as a model of competing causes, where the parameter associated with the Marshall-Olkin distribution controls the activation mechanism of the latent risks (Cooner et al., Statistical Methods in Medical Research, 15, 307-324, 2006). The asymptotic properties of the maximum likelihood estimation approach of the parameters of the model are evaluated by means of simulation studies. The proposed distribution is fitted to two real data sets, one arising from measuring the strength of fibers and the other on melanoma data.

Generation of runoff ensemble members using the shot noise process based rainfall-runoff model (Shot Noise Process 기반 강우-유출 모형을 이용한 유출 앙상블 멤버 생성)

  • Kang, Minseok;Cho, Eunsaem;Yoo, Chulsang
    • Journal of Korea Water Resources Association
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    • v.52 no.9
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    • pp.603-613
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    • 2019
  • This study proposes a method to generate runoff ensemble members using a rainfall-runoff model based on the shot noise process (hereafter the rainfall-runoff model). The proposed method was applied to generate runoff ensemble members for three drainage basins of Daerim 2, Guro 1 and the Jungdong, whose results were then compared with the observed. The parameters of the rainfall-runoff model were estimated using the empirical formulas like the Kerby, Kraven II and Russel, also the concept of modified rational formula. Gamma and exponential distributions were used to generate random numbers of the parameters of the rainfall-runoff model. Especially, the gamma distribution is found to be useful to generate various random numbers depending on the pre-assigned relationship between mean and standard deviation. Comparison between the generated runoff ensemble members and the observed shows that those runoff ensemble members generated using the gamma distribution with its standard deviation twice of the mean properly cover the observed runoff.

Interleukin-$32{\gamma}$ Transgenic Mice Resist LPS-Mediated Septic Shock

  • Kim, Sun Jong;Lee, Siyoung;Kwak, Areum;Kim, Eunsom;Jo, Seunghyun;Bae, Suyoung;Lee, Youngmin;Ryoo, Soyoon;Choi, Jida;Kim, Soohyun
    • Journal of Microbiology and Biotechnology
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    • v.24 no.8
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    • pp.1133-1142
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    • 2014
  • Interleukin-32 (IL-32) is a cytokine and inducer of various proinflammatory cytokines such as $TNF{\alpha}$, IL-$1{\beta}$, and IL-6 as well as chemokines. There are five splicing variants (${\alpha}$, ${\beta}$, ${\gamma}$, ${\delta}$, and ${\varepsilon}$) and IL-$32{\gamma}$ is the most active isoform. We generated human IL-$32{\gamma}$ transgenic (IL-$32{\gamma}$ TG) mice to express high level of IL-$32{\gamma}$ in various tissues, including immune cells. The pathology of sepsis is based on the systemic inflammatory response that is characterized by upregulating inflammatory cytokines in whole body, particularly in response to gram-negative bacteria. We investigated the role of IL-$32{\gamma}$ in a mouse model of experimental sepsis by using lipopolysaccharides (LPS). We found that IL-$32{\gamma}TG$ mice resisted LPS-induced lethal endotoxemia. IL-$32{\gamma}$ reduced systemic cytokines release after LPS administration but not the local immune response. IL-$32{\gamma}TG$ increased neutrophil influx into the initial foci of the primary injected site, and prolonged local cytokines and chemokines production. These results suggest that neutrophil recruitment in IL-$32{\gamma}TG$ occurred as a result of the local induction of chemokines but not the systemic inflammatory cytokine circulation. Together, our results suggest that IL-$32{\gamma}$ enhances an innate immune response against local infection but inhibits the spread of immune responses, leading to systemic immune disorder.

Statistical Methods to Control Response Bias in Nursing Activity Surveys (간호활동시간 조사 시 응답편이 통제를 위한 통계적 접근 방안)

  • Lim, Ji-Young;Park, Chang-Gi
    • Journal of Korean Academy of Nursing
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    • v.42 no.1
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    • pp.48-55
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    • 2012
  • Purpose: The aim of this study was to compare statistical methods to control response bias in nursing activity surveys. Methods: Data were collected at a medical unit of a general hospital. The number of nursing activities and consumed activity time were measured using self-report questionnaires. Descriptive statistics were used to identify general characteristics of the units. Average, Z-standardization, gamma regression, finite mixture model, and stochastic frontier model were adopted to estimate true activity time controlling for response bias. Results: The nursing activity time data were highly skewed and had non-normal distributions. Among the 4 different methods, only gamma regression and stochastic frontier model controlled response bias effectively and the estimated total nursing activity time did not exceeded total work time. However, in gamma regression, estimated total nursing activity time was too small to use in real clinical settings. Thus stochastic frontier model was the most appropriate method to control response bias when compared with the other methods. Conclusion: According to these results, we recommend the use of a stochastic frontier model to estimate true nursing activity time when using self-report surveys.

Application of DV-X$\alpha$ Method to ${\gamma}$-2CaO.SiO$_2$

  • Yamaguchi, Norio;Fujimori, Hirotaka;Ioku, Koji;Goto, Seishi;Nakayasu, Tetsuo
    • The Korean Journal of Ceramics
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    • v.6 no.4
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    • pp.339-342
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    • 2000
  • In the present study, we attempted to apply DV-X$\alpha$ method to expressing the reactivity of materials. The expression of reactivity was discussed by comparison between ${\gamma}$-C$_2$G having hydraulic activity and ${\gamma}$-C$_2$S not having hydraulic activity at normal conditions. It was found that the model cluster used for calculation can finely reproduce the bulk and surface states using with and without point charge, respectively. The hydration state was also represented by placing OH ̄ on the surface of the cluster. It was calculated that the bond strength of the first layer (as surface) was bigger than that of inner layers (as bulk) for ${\gamma}$-C$_2$S while that of the first layer for ${\gamma}$-C$_2$G was smaller than that of inner layers. Subsequently a model in which OH ̄ is coordinated on Ca at the surface was also calculated. The bond strength with OH ̄ was stronger than that without OH ̄, while for ${\gamma}$-C$_2$G the bond strength with OH ̄ was weaker than that without OH ̄. From these results, it is concluded that the hydraulic activity depends on whether the bond strength for hydrated state becomes weaker than that unhydrated state or not.

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Effects of APF and CsA on the number of regulatory T cells, NK T cells and gammadelta T cells in OVA-induced murine model of asthma (OVA로 유도된 천식 모델 생쥐에서 목천료자(木天蓼子)가 조절 T 세포, NK T 세포 및 gammadelta T 세포수 변화에 미치는 영향)

  • Kim, Seung-Hyung;Roh, Seong-Soo;Lee, Jang-Cheon;Seo, Young-Bae;Lee, Young-Cheol
    • The Korea Journal of Herbology
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    • v.21 no.1
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    • pp.51-56
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    • 2006
  • Objectives : To clarify the effects of Actinidia polygama and CsA on OVA-induced asthma model, we examined the influence of Actinidia polygama fructus extract (APF) and CsA on the number of regulatory T cells, NKT cells and ${\gamma}{\delta}$ T cells in murine model of asthma. Methods : All mice were immunized on two different days (21 days and 7 days before inhalational exposure) by i.p. injections of OVA in PBS. Seven days after the second sensitization, mice were exposed to aerosolized ovalbumin for 30 min/day on 3 days/week for 12 weeks and APF (400, 40 mg/kg) were orally administered 3 times a week for 8 weeks. Results : The suppressive effects of APF on asthma model were demonstrated by the increase the number of regulatory T cells, ${\gamma}{\delta}$ T cells and by reducing the number of NK T cells. Conclusion : These results indicate that APF has a deep inhibitory effect on airway inflammation and hyperresponsiveness in murine model of asthma by increase the number of regulatory T cells, and ${\gamma}{\delta}$ T cells and by reducing the number of NK T cells.

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