• Title/Summary/Keyword: logistic equation

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Numerical Simulation of Immiscible Water-Gas Simultaneous Flow in the absence of Capillary Force in a Single Fracture (단일절리에서 모세관압을 고려하지 않은 불혼합성 물과 가스의 동시거동 해석)

  • 한일영;서일원
    • Journal of Soil and Groundwater Environment
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    • v.6 no.2
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    • pp.69-81
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    • 2001
  • The constitutive relation among capillary pressure, saturation and relative permeability should be predetermined in order to simulate immiscible water-gas flow in porous media. The relation between saturation and relative permeability becomes more important when the capillary force can be disregarded and viscous friction force governs the flow. In this study, a 2-dimensional finite difference numerical model was developed, in which the variation of viscosity with pressure and that of relative permeability with water saturation can be treated. Seven cases of parallel plate tests were performed in order to obtain the characteristic equation of relative permeability which would be used in. the developed numerical model. It was not possible, however, to match the curves of relative permeability from the plate tests with the existing emperical models. Consequently a logistic equation was proposed as a new emperical model. As this model was composed of the parameter involving aperture size, any aperture size of fracture can be applied to the model. For the purpose of verification, the characteristic equation of relative permeability was applied to the developed numerical model and the computed results were compared with those of plate test. As a result of application of numerical model, in order to check the field applicability, to single fracture surrounding an underground storage cavern, the simultaneous flow of water and propane gas was able to be simulated properly by the model.

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Production of Glutaminase (E.C. 3.2.1.5) from Zygosaccharomyces rouxii in Solid-State Fermentation and Modeling the Growth of Z. rouxii Therein

  • Iyer, Padma;Singhal, Rekha S.
    • Journal of Microbiology and Biotechnology
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    • v.20 no.4
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    • pp.737-748
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    • 2010
  • Glutaminase production in Zygosaccharomyces rouxii by solid-state fermentation (SSF) is detailed. Substrates screening showed best results with oatmeal (OM) and wheatbran (WB). Furthermore, a 1:1 combination of OM:WB gave 0.614 units/gds with artificial sea water as a moistening agent. Evaluation of additional carbon, nitrogen, amino acids, and minerals supplementation was done. A central composite design was employed to investigate the effects of four variables (viz., moisture content, glucose, corn steep liquor, and glutamine) on production. A 4-fold increase in enzyme production was obtained. Studies were undertaken to analyze the time-course model, the microbial growth, and nutrient utilization during SSF. A logistic equation ($R^2$=0.8973), describing the growth model of Z. rouxii, was obtained with maximum values of ${\mu}_m$ and $X_m$ at $0.326h^{-1}$ and 7.35% of dry matter weight loss, respectively. A goodfit model to describe utilization of total carbohydrate ($R^2$=0.9906) and nitrogen concentration ($R^2$=0.9869) with time was obtained. The model was used successfully to predict enzyme production ($R^2$=0.7950).

Nonlinear Height-DBH Growth Models for Larix kaempferi in Gangwon and North Gyeongsang Province

  • Lee, Daesung;Choi, Jungkee;Seo, Yeongwan;Kim, Euigyeong
    • Journal of Forest and Environmental Science
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    • v.30 no.2
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    • pp.201-207
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    • 2014
  • This study was conducted to estimate the best-fit nonlinear height-DBH growth models for Larix kaempferi in Gangwon and North Gyeongsang province in South Korea. Exponential, Modified Logistic, Chapman-Richards, and Weibull function were used for estimating height-DBH models. To evaluate the selected models, $R^2$, RMSE, MD, MAD, and residual plots were performed in each model. Also, the coefficients and patterns in models of the previous studies were compared with those in this study. The result showed that Weibull equation was found to be the best-fit model with $R^2$=0.9837, RMSE=2.6133, MD=0.0089, and MAD=2.0896. All model parameters in our study had similar values to those in the previous models except for asymptotic parameter a. Our research result showed that Gangwon and North Gyeongsang province were superior to other provinces with regard to height growth for Larix kaempferi.

A Predictors of Exercise Participation in Rheumatoid Arthritis Patients (류마티스 관절염 환자의 운동참여 예측요인)

  • Lim, Nan-Young;Yi, Yeo-Jin
    • Journal of muscle and joint health
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    • v.8 no.1
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    • pp.51-64
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    • 2001
  • The purposes of this study were to examine and to predict the affecting factors on exercise participation of Rheumatoid arthritis Patients. The subjects were 161 adult out-patients who visited the hospital for rheumatic disease in H-university. Data were composed of self-reported questionnaire. The conceptual model of this study consisted of that personal characters(age, marriage, education, income), situational characters(pain intensity, fatigue, IADL, depression), behavioral characters(formerly exercise behavior, life-style), and cognitive-perceptional characters(perceived health status, perceived benefit, perceived barrier, perceived self-efficacy) affected directly to exercise participation. Logistic regression analysis was applied for testing model of this study. The results were as follows : 1. Personal characters(education), situational characters(pain intensity), behavioral characters(formerly exercise behavior, life-style), and cognitive characters(perceived barrier, perceived self-efficacy) were significant difference between current exercise participants(127subjects) and non-exercise participants(34). 2. Personal characters(income), situational characters(pain intensity), behavioral characters(life-style), and cognitive-perceptional characters(perceived barrier, perceived self-efficacy) were correlated to exercise participation. 3. Formerly exercise behavior, perceived barrier, and perceived self-efficacy were significant predictor of exercise participation. The logistic equation predicted overall 81.94% of this study subjects 161.

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Multivariate Analysis of Molecular Indicators for Postoperative Liver Metastasis in Colorectal Cancer Cases

  • Qian, Li-Yuan;Li, Ping;Li, Xiao-Rong;Chen, Dao-Jin;Zhu, Shai-Hong
    • Asian Pacific Journal of Cancer Prevention
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    • v.13 no.8
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    • pp.3967-3971
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    • 2012
  • Aims: To explore the relationship between various molecular makers and liver metastasis of colorectal cancer (CRC). Method: Using immunohistochemistry, protein expression of CEA, nm23, c-met, MMP2, COX-2, VEGF, EGFR, and CD44 was assessed in 80 CRC cases. The Chi-square test and logistic regression were performed to analyze the relationship between these indicators and CRC liver metastasis. Results: There were significant differences in expression of CEA, MMP2, CD44, VEGF and EGFR between the liver metastasis and non metastasis groups (P < 0.05); no significant differences were noted for nm23, c-met, and COX-2 expression. Logistic regression analysis showed that only CEA, VEGF, and EGFR entered into the regression equation, and had significant correlations with CRC liver metastasis (${\alpha}$ inclusion= 0.10, ${\alpha}$ elimination = 0.15, R2 = 0.718). Conclusions: Combination detection of CEA, VEGF, and EGFR may be an effective means to predict CRC liver metastasis. Nm23, c-met, MMP2, COX-2, and CD44, in contrast, are not suitable as prognostic markers.

The Analysis of Hubbing Competitiveness for Major Airports in Asia (아시아 주요공항의 허브화 경쟁력분석)

  • Han, Ji-Yeong;Hong, Seok-Jin;Park, Gi-Hwa
    • Journal of Korean Society of Transportation
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    • v.28 no.1
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    • pp.7-14
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    • 2010
  • As globalization is making rapid progress, place of international trade based on seaports is changing to airports, which make logistic function in airport getting more important. Airports are required to serve as social overhead capital representing economies of scale as well as a logistic hub for integrating production, sales and transport for multinational corporations. In order to keep regional airport hub, many strategies are required such as development of hinterland and competitive advantage strategies. This paper tried to find determining factors to be a hub airport and competitiveness for hubbing, using the data from Incheon, Narita, Kansai, Nagoya, Singapore-Changi and Taipei airports. As the result of making an analysis of competitiveness of airports and competitive ranking excluding hinterland factors.

A Study on Development of Strength Prediction Model for Construction Field by Maturity Method (적산온도 기법을 활용한 건설생산현장에서의 강도예측모델 개발에 관한 연구)

  • Kim, Moo-Han;Nam, Jae-Hyun;Khil, Bae-Su;Choi, Se-Jin;Jang, Jong-Ho;Kang, Yong-Sik
    • Journal of the Korea Institute of Building Construction
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    • v.2 no.4
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    • pp.177-182
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    • 2002
  • The purpose of this study is to develope the strength prediction model by Maturity Method. A maturity function is a mathematical expression to account for the combined effects of time and temperature on the strength development of a cementious mixture. The method of equivalent ages is to use Arrhenius equation which indicates the influence of curing temperature on the initial hydration ratio of cement. For the experimental factors of this study, we selected the concrete mixing of W/C ratio 45, 50, 55 and 60% and curing temperature 5, 10, 20 and $30^{\circ}C$. And we compare and evaluate with logistic model that is existing strength prediction model, because we have to verify adaption possibility of new strength prediction model which is proposed by maturity method. As the results, it is found that investigation of the activation energy that are used to calculate equivalent age is necessary, and new strength prediction model was proved to be more accurate in the strength prediction than logistic model in the early age. Moreover, the use of new model was more reasonable because it has low SSE and high decisive factor.

Logistic Regression and GIS based Urban Ground Sink Susceptibility Assessment Considering Soil Particle Loss (토립자 유실을 고려한 로지스틱 회귀분석 및 GIS 기반 도시 지반함몰 취약성 평가)

  • Suh, Jangwon;Ryu, Dong-Woo;Yum, Byoung-Woo
    • Tunnel and Underground Space
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    • v.30 no.2
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    • pp.149-163
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    • 2020
  • This paper presents a logistic regression and GIS based urban ground sink susceptibility assessment using underground facility information considering soil particle loss. In the underground environment, the particle loss due to water flow or groundwater level change leads to the occurrence and expansion of cavities, which directly affect the ground sink. Four different contributory factors were selected according to the two underground facility domains (water pipeline area, sewer pipeline area) and subway line area. The logistic regression method was used to analyze the correlation and to derive the regression equation between the ground sink inventory and the contributory factors. Based on these results, three ground sink susceptibility maps were generated. The results obtained from this study are expected to provide basic data on the area susceptible to ground sink and needed to safety monitoring.

Temperature Response and Prediction Model of Leaf Appearance Rate in Rice (벼의 생육온도에 따른 출엽양상과 출엽속도 추정모델)

  • 이충근;이변우;윤영환;신진철
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.46 no.3
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    • pp.202-208
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    • 2001
  • Under the constant daylength of 13 hours and growth temperatures of 15$^{\circ}C$ to 27$^{\circ}C$, the final number of loaves (FNL) on the main culm was constant as 15 regardless of temperature in rice variety 'Kwanganbyeo'. Leaf appearance rate (LAR) increased with rising temperature and decreased with phenological development. Threshold temperature (T$_{o}$) was not constant across growth stages, but increased with phenological development. Effective accumulated temperature (EAT), which is calculated by the summation of values subtracting T0 from daily mean temperature, is closely related with number of leaves appeared (LA). LA was fitted to bilinear, quadratic, power and logistic function of EAT. Among the functions, logistic function had the best fitness of which coefficient of determination was $R^2$=0.995. Therefore, LAR prediction model was established by differentiating this function in terms of time: (equation omitted). where dL/dt is LAR, T$_1$ is daily mean temperature, L is the number of leaves appeared, and a, b, and c are constants that were estimated as 41.8, 1098.38, and -0.9273, respectively. When predictions of LA were made by LAR prediction model using data independent of model establishment, the observed and predicted LA showed good agreement of $R^2$$\geq$0.99.

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Mesh Selectivity of Durm Net Fish Trap for Elkhorn sculpin(Alcichthys alcicornis) in the Eastern Sea of Korea (동해의 장구형 통발에 대한 빨간횟대 (Alcichthys alcicornis)의 망목선택성)

  • Park, Hae-Hoon;Jeong, Eui-Cheol;An, Heui-Chun;Park, Chang-Doo;Kim, Hyun-Young;Bae, Jae-Hyun;Cho, Sam-Kwang;Baik, Chul-In
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.40 no.4
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    • pp.247-254
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    • 2004
  • The mesh selectivity of the drum net fish trap for elkhorn sculpin(Alcichthys alcicornis) in the estern sea of Korea was described. The selection curve for the elkhorn sculpin caught from the experiments between June 2003 and December 2003 was by SELECT(Share Each Length Class's Catch Total)model and by Kitahaa's method to a polynomial equation and two parameter logistic selection curve. The selection curve by SELECT model showed to be equal probability of entrance of the elkhorn sculpin in the large(55mm) and small(20mm) mesh traps by minimum AIC (Akaike Information Criteria). The equation of selectivity curve obtained by Kitahara's method using a logistic function with least square method was $s(R)\;=\;\frac{1}{1+exp(-0.3545R+2.141)$, where R=1/m, and/and m are total length and mesh size, respectively. The mesh selectivity curve showed that the current regulated mesh size(35mm) for the trap was corresponded to 21.4cm in the $L_{50}$of the selection curve for the elkhorn sculpin.