• 제목/요약/키워드: L-P model

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THE APPLICATION OF STOCHASTIC DIFFERENTIAL EQUATIONS TO POPULATION GENETIC MODEL

  • Choi, Won;Choi, Dug-Hwan
    • 대한수학회보
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    • 제40권4호
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    • pp.677-683
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    • 2003
  • In multi-allelic model $X\;=\;(x_1,\;x_2,\;\cdots\;,\;x_d),\;M_f(t)\;=\;f(p(t))\;-\;{\int_0}^t\;Lf(p(t))ds$ is a P-martingale for diffusion operator L under the certain conditions. In this note, we examine the stochastic differential equation for model X and find the properties using stochastic differential equation.

비계획구매를 고려한 제조업체와 유통업체의 판매촉진 비용 분담 (Cooperative Sales Promotion in Manufacturer-Retailer Channel under Unplanned Buying Potential)

  • 김현식
    • 한국유통학회지:유통연구
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    • 제17권4호
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    • pp.29-53
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    • 2012
  • 제조업체와 유통업체의 판매촉진 구사가 증가하면서 이들 사이의 바람직한 판매촉진 비용 분담 방식에 대한 관심도 증가하고 있다. 특히 유통업체 점포를 방문하는 소비자의 비계획구매 요소는 유통업체에게 명시적 잉여를 제공하지만 제조업체에게는 그렇지 않다는 점에서 이를 고려한 판매촉진 비용 분담의 방향 제시가 필요한 것이 현실이다. 문제는 유통업체 방문 소비자의 점포내 비계획구매 요소가 있을 때 제조업체가 어떻게 대응해야 하는지에 대해서는 충분한 설명이 이루어지지 못하고 있다는 점이다. 이러한 문제의식에서 본 연구에서는 유통업체 점포내 비계획구매 요소가 있을 때 제조업체가 구체적으로 공동 판매촉진 행동을 어떻게 전개해야 하는지 조명하고 있다. 본 연구의 주요결과는 다음과 같다: (1) 유통업체 점포 방문 소비자의 비계획구매 수준이 증가할수록 채널 전체의 판매촉진 수준은 높아지고, 제조업체의 비용 분담액도 커진다. (2) 유통업체 점포 방문 소비자의 비계획구매 수준이 증가할수록 채널 전체 판매촉진 비용 중에서 제조업체의 판매촉진 비용 분담 비중은 낮아지고, 유통업체의 판매촉진 비용 분담 비중은 높아진다. (3) 제조업체 이익은 유통업체 점포 방문 소비자의 비계획구매 수준인 b의 증가함수이다. (4) 유통업체가 소비자의 비계획구매 대상 제품을 조달하는데 소요되는 비용 수준이 증가할수록 유통업체 점포 방문 소비자의 비계획구매 수준 증가에 따른 채널 전체의 판매촉진 수준 증가 정도, 제조업체의 판매촉진 비용 분담액 증가 정도, 유통업체의 판매촉진 비용 분담 비중 증가 정도, 제조업체 이윤 증가 정도가 낮아진다.

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나노여과를 이용한 Sodium Lactate의 회수 (Recovery of Sodium Lactate Using Nanofiltration)

  • 이은교;강상현;장용근;장호남
    • 한국미생물·생명공학회지
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    • 제27권4호
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    • pp.320-326
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    • 1999
  • The effects of operating pressure, lactate concentration, impurities, and pH on solution flux and lactate rejection in nanofiltration were investigated with model sodium lactate solutions (lactate 10~200g/L) as a model system. In the tested range of pressure(80~140 psig), the solution flux was observed to be proportional to the operating pressure and the rejection of lactate increased only slightly with the pressure. Both of the flux and the rejection decreased with lactate concentration, while the recovery rate of lactate increased. The effects of glucose and yeast extract as impurities on lactate rejection were negligible, but the flux decreased significantly with the addition of yeast extract. At low lactate concentrations, the rejection of lactate increased with pH due to the increased repulsion (Donnan exclusion effect) between lactate ions and membrane surface. But, at high lactate concentrations, the donnan effect was observed to be overwhelmed by the effect of sodium ions added to adjust the pH, and the rejection of lactate decreased with pH. When fermentation broth containing about 89g/L of lactate was nanofiltered, the flux and the rejection of lactate were 2.8L/$m^2$h and 5%, respectively at 120psig. Both of them were slightly lower than those with model solutions. The recovery rate was 2.6mol/$m^2$h.

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THE CONSISTENCY OF NONLINEAR REGRESSION MINIMIZING $L_p$-NORM

  • Choi, Seung-Hoe;Park, Kyung-Ok
    • East Asian mathematical journal
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    • 제14권2호
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    • pp.421-427
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    • 1998
  • In this paper we provide sufficient conditions which ensure the strong consistency of $L_p$-norm estimation in nonlinear regression model when the probability distribution of the errors term is symmetric about zero. The least absolute deviation and least square estimation are discussed as special cases of the proposed estimation.

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Epigallocatechin gallate attenuates L-DOPA-induced apoptosis in rat PC12 cells

  • Lee, Myung-Yul;Choi, Eun Joo;Lee, Myung-Koo;Lee, Jae-Joon
    • Nutrition Research and Practice
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    • 제7권4호
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    • pp.249-255
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    • 2013
  • In this study, the protective effects of EGCG on L-3,4-dihydroxyphenylalanine (L-DOPA)-induced oxidative cell death in catecholaminergic PC12 cells, the in vitro model of Parkinson's disease, were investigated. Treatment with L-DOPA at concentrations higher than $150{\mu}M$ caused cytotoxicity in PC12 cells, as determined using the 3-(4,5-dimetylthiazol-2-yl)-2,5-diphenyltetrazolium bromide (MTT) assay and flow cytometry detection. The apoptotic ratio was similar in cells treated with $100{\mu}M$ EGCG plus $150{\mu}M$ L-DOPA (5.02%) and the control (0.96%) (P > 0.05), and was lower than that of cells treated with L-DOPA only (32.24%, P < 0.05). The generation level of ROS (% of control) in cells treated with EGCG plus L-DOPA was lower than that in cells treated with L-DOPA only (123.90% vs 272.32%, P < 0.05). The optical density in production of TBARS in cells treated with L-DOPA only was higher than that in the control ($0.27{\pm}0.05$ vs $0.08{\pm}0.04$, P < 0.05), and in cells treated with EGCG only ($0.14{\pm}0.02$, P < 0.05), and EGCG plus L-DOPA ($0.13{\pm}0.02$, P < 0.05). The intracellular level of GSH in cells treated with EGCG plus L-DOPA was higher than that in cells treated with L-DOPA only ($233.25{\pm}16.44$ vs $119.23{\pm}10.25$, P < 0.05). These results suggest that EGCG protects against L-DOPA-induced oxidative apoptosis in PC12 cells, and might be a potent neuroprotective agent.

Phenol removal by tailor-made polyamide-fly ash composite membrane: Modeling and optimization

  • Vandana, Gupta;Anandkumar, J.
    • Membrane and Water Treatment
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    • 제10권6호
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    • pp.431-440
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    • 2019
  • A novel composite membrane was synthesized using crosslinked polyamide and fly ash ceramic substrate for phenol removal. Glutaraldehyde was used as crosslinker. Characterization shows that synthesized membrane possesses good permeability ($0.184l.m^{-2}.h^{-1}.kPa^{-1}$), MWCO (1.7 kDa), average pore size (1.08 nm) and good chemical stability. RSM was adopted for phenol removal studies. Box-Behnken-Design using quadratic model was chosen for three operating parameters (feed phenol concentration, pH and applied pressure) against two responses (phenol removal, flux). ANOVA shows that model is statistically valid with high coefficient of determination ($R^2$)value for flux (0.9897) and phenol removal (0.9302). The optimum conditions are obtained as pH 2, $46mg.l^{-1}$ (feed phenol concentration) and 483 kPa (applied pressure) with 92.3% phenol removal and $9.2l.m^{-2}.h^{-1}$ flux. Data validation with deviation of 4% confirms the suitability of model. Obtained results reveal that prepared composite membrane can efficiently separate phenol from aqueous solution.

Developing numerical method to predict the removal of Microcystin-LR in a clear well

  • Yeo, Inhee;Park, Yong-Gyun;Kim, Dooil
    • Membrane and Water Treatment
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    • 제9권3호
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    • pp.173-179
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    • 2018
  • Microcystin-LR, one of algal toxins induced by the eutrophication of a reservoir, is known to be harmful to human by adversely affecting our liver and brain. Hypochlorous acid is very efficient to remove Microcystin-LR in a clear well. The previous researches showed that CT, pH and temperature affected removal rate in batch tests. It was noted that hydrodynamic properties of clear well could also influence its removal rate. A mathematical model was built using an axial dispersion reactor model and software was used to simulate the removal rate. The model consisted of the second order differential equations including dispersion, convection, Microcystin-LR reaction with chlorine. Kinetic constants were obtained through batch tests with chlorine. They were $0.430{\times}10^{-3}L/mg/sec$ and $0.143{\times}10^{-3}L/mg/sec$ for pH 7.0 and 8.1, respectively. The axial dispersion reactor model was shown to be useful for the numerical model through conservative tracer tests. The numerical model successfully estimated the removal rate of Microcyctin-LR in a clear well. Numerical simulations showed that a small dispersion number, low pH and long hydraulic retention time were critical for higher removal rate with same chlorine dosage. This model could be used to optimize the operation of a clear well during an eutrophication season.

하수처리시설 신설에 따른 QUAL2E모델에 의한 만경수계 수질예측 (Water Quality Prediction of the Mankyung Water Shed according to Construction of New Sewage Treatment Facilities)

  • 정팔진;현미희;정진필
    • 한국물환경학회지
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    • 제26권2호
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    • pp.200-207
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    • 2010
  • The sewage treatment plants to be built to improve the water quality of the Mankyung River will total 11, of which combined capacity will reach $39,850m^3/day$, and saying in detail, 5 at Gunsan city, 2 at Iksan city, 1 at Kimje city and 3 at Wanju gun, The scenario for water quality improvement was developed, considering the conditions of plant operation ratio and the accomplishment of the water quality target (BOD 4.4 mg/L, T-P 0.356 mg/L) at the end of the watershed of Mankyung B was predicted, making use of QUAL2E model. As a result of prediction using QUAL2E model based on scenarios with 70% and 100% of operation ratio, respectively, at 11 plants in 2010, the water quality at the watershed of Mankyung B was estimated at 4.322 mg/L which was lower than the target of BOD 4.4 mg/L, indicating the target water quality was achieved, when it comes to 70% of operation ratio, But in case of T-P, it was estimated at 0.565 mg/L, which was higher than the target. When it comes to 100% of operation ratio, T-P also was 0.563 mg/L which exceeded the target, 0.356 mg/L. As indicated above, the effect of water quality improvement appeared very insignificant, which was attributable to the limit of small scale sewage treatment plant in total reduction capacity. Hence, the measures for additional reduction in a bid to achieve the target water quality of T-P at the designated location need to be taken, and the measures to build the Sewage treatment facilities at the place where the pollution is significantly caused by T-P appeared to be required as well.

Biotic ligand model과 종 민감도 분포를 이용한 토양 공극수 내 Cu의 생태독성학적 허용농도 결정에 미치는 환경인자의 영향 (Effect of Environmental Factors on the Determination of the Ecotoxicological Threshold Concentration of Cu in Soil Pore Water through Biotic Ligand Model and Species Sensitivity Distribution)

  • 유기현;안진성;정부윤;남경필
    • 한국지하수토양환경학회지:지하수토양환경
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    • 제22권1호
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    • pp.49-58
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    • 2017
  • Biotic ligand model (BLM) and species sensitivity distribution (SSD) were used to determine the site-specific Cu threshold concentration (5% hazardous concentration; HC5) in soil pore water. Model parameters for Cu-BLM were collected for six plants, one collembola, and two earthworms from published literatures. Half maximal effective concentration ($EC_{50}\{Cu^{2+}\}$), expressed as $Cu^{2+}$ activity, was calculated based on activities of major cations and the collected Cu-BLM parameters. The $EC_{50}\{Cu^{2+}\}$ varied from 2 nM to $251{\mu}M$ according to the variation in environmental factors of soil pore water (pH, major cation/anion concentrations) and the type of species. Hazardous activity for 5% (HA5) and HC5 calculated from SSD varied from 0.076 to $0.4{\mu}g/L$ and 0.4 to $83.4{\mu}g/L$, respectively. HA5 and HC5 significantly decreased with the increase in pH in the region with pH less than 7 due to the decrease in competition with $H^+$ and $Cu^{2+}$. In the region with pH more than 7, HC5 increased with the increase in pH due to the formation of complexes of Cu with inorganic ligands. In the presence of dissolved organic carbon (DOC), Cu and DOC form a complex, which decreases $Cu^{2+}$ activity in soil pore water, resulting in up to 292-fold increase in HC5 from 0.48 to $140{\mu}g/L$.

전통시장 여성상인의 건강관련 삶의 질에 미치는 영향요인 (Influential factors of Health-related Quality of Life of Women Merchants at Traditional Markets)

  • 배영실
    • 한국보건간호학회지
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    • 제34권3호
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    • pp.355-367
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    • 2020
  • Purpose: This study aims to identify factors influencing the health-related quality of life among women merchants at traditional markets. Methods: Participants in this cross-sectional descriptive study included 121 women merchants. Data were collected from May 01 to June 30, 2019 using the patient health questionnaire-9 (PHQ-9), psychosocial well-being index-short form (PWI-SF), subjective health status, and HRQoL. Selected data were analyzed using descriptive statistics, Pearson's correlation coefficient, and stepwise multiple regression by applying the SPSS/WIN program 22.0. Results: The HRQoL was significantly different by age (F=5.87, p=.001), education (F=2.98, p=.022), working period (F=4.70, p=.004), exercise (t=2.20, p=.030), chronic disease (t=-2.57, p=.011), BMI (F=5.04, p=.008), depression (F=4.70, p=.004), stress (F=7.82, p<.001), and subjective health status (F=7.91, p=.001). Factors influencing the HRQoL for women merchants included BMI (β=-.35, p<.001), subjective health status (β=.33, p<.001), and stress (β=-.18, p=.021). The explanation power of this regression model was 29.8% (F=5.51, p<.021). Conclusion: BMI, subjective health status, and stress affect the HRQoL of the subjects evaluated. Therefore, there is a need for health management programs that may decrease stress, control the BMI, and improve the subjective health status of women merchants at traditional markets.