• Title/Summary/Keyword: g-continuous

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COMMON FIXED POINT FOR RECIPROCALLY CONTINUOUS AND WEAKLY COMPATIBLE MAPS IN A G-METRIC SPACE

  • Swapna, P.;Phaneendra, T.;Rajashekar, M.N.
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.3
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    • pp.569-585
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    • 2022
  • A brief comparative survey of some generalizations of a metric space with three dimensional metric structures and different forms of the triangle inequality is done along with their topological properties. Then a common fixed point is obtained for reciprocally continuous and compatible self-maps in a G-metric space. Further, a common fixed point theorem is proved for a pair of weakly compatible self-maps on a G-metric space with the common limit range property.

Continuous Ethanol Fermentation Using Membrane Cell Recycle Fermentor (Membrane Cell Recycle Fermentor에 의한 에탄올 연속 발효)

  • 김태석;이석훈;손석민;권윤중;변유량
    • Microbiology and Biotechnology Letters
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    • v.19 no.4
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    • pp.419-427
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    • 1991
  • Ethanol fermentation of glucose by a strain of Saccharomyces cereuisiae was studied in membrane recycle bioreactor, where the fermentation vessel was coupled with cross flow hollow fiber membrane. The cell recycle system controlled backflushing with fresh medium was proven to be effective in alleviating membrane fouling and allowing long term operation of high-cell continuous fermentation. Using 100 g/l initial glucose concentration, the maximum productivity of about 9 5 g/$l \cdot h$ has been achieved at dilution rate 2.5 $h^{-1}$ and bleed stream ratio 0.05 with the corresponding ethanol concentration of 35g/l and glucose conversion of 100%. Increasing the glucose concentration to 200 g/$l \cdot h$ resulted in an increase in ethanol concentration to 48 g/l and productivity to 120 g1l.h. Substrate conversion, however, was only 69%. This productivity was the highest value in the study, and about 38 fold more than that of batch culture and 17 fold more that of single stage continuous culture without cell recycling. No further increase in the productivity was obtained when the glucose concentration was increased reased to 300g/l.

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Development of Soluble Glucan Production Process with Continuous Stirred Tank Fermentor (연속 발효조를 이용한 soluble glucan 생산 공정 개발)

  • Moon, Chan-Jun;Lee, Jung-Heon
    • Journal of Life Science
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    • v.16 no.6
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    • pp.938-941
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    • 2006
  • Continuous fermentation process for the production of soluble glucan using mutant Agrobacterium sp. ATCC31750 has been developed in this research. When the concentration of soluble glucan was higher than 6 g/l, the viscosity of the fermented broth was too high and it needs complex separation process to separate from culture broth. Mathematical models which describe the cell growth and glucan production was developed and they kinetic parameters were estimated with experimental data. They are used for the optimization of continuous fermentation process and calculate optimal dilution rate for easy separation of glucan 4 g/l. With continuous fermentation, glucan production rate was increased 1.8 times more than that with batch fermentation.

Continuous Alcohol Fermentation by a Tower Fermentor with Cell Recycle Using Flocculating Yeast Strain (Flocculating 효모균주의 재순환에 의한 Tower 발효조를 이용한 연속알콜발효)

  • 페차랏칸자나시리완;유연우김공환
    • KSBB Journal
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    • v.4 no.1
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    • pp.11-14
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    • 1989
  • A study on the continuous fermentation with cell recycle by a tower fermentor to produce ethanol has been carried out. ethanol fermentation was conducted with flocculating yeast strain, Saccharomyces cerevisiae TS4, to compare the ethanol productivity with conventional continuous process. Employing a 15% glucose feed, a cell density of 50 g/l was obtaind. The ethanol productivity of the cell recycle system was found to be 26.5g EtOH/1-hr, which was nearly 7.5 times higher than the conventional continuous process without cell recycle. A cell recycle ratio of 7 to 8 resulted in the highest ethanol productivity and cell concentration. Thus the cell recycle ratio was found to be a key factor in controlling the production of clarified overflow liquid. An aeration rate above 3.8 $\times$ 10-3 VVM seemed to decrease the ethanol productivity. The continuous fermentation with cell recycle was successfully used in the separation of cells from fermentation broth with enhancement of mixing in the tower fermentor.

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Continuous Production of Sorbitol with Zymomonas mobilis in a Packed Bed Reactor (Zymomonas mobilis에 의한 Packed Bed Reactor를 이용한 연속적인 sorbitol의 형성)

  • 장기효;김영복장현수전억한
    • KSBB Journal
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    • v.11 no.1
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    • pp.58-64
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    • 1996
  • The purpose of this study is to develop a continuous process for sorbitol production using Zymomonas mobilis immobilized in K-carra-geenan. The glutaraldehyde cross-linking of toluene-treated cells immobilized in alginate or chitin showed high enzyme stability for long period. However, loss of enzyme activity was observed at 23% during 210h. In order to investigate the stability of glucose-fructose oxidoreductase of cethyltrimethylammoniumbromide (CT AB) treated cells, the long term continuous process was carried out with Z. mobilis immobilized in K-carrageenan in the continuous stirred tank reactor(CSTR) and the packed bed reactor. The continuous production of sorbitol with the immobilized CT AB permeabilized cells in packed bed reactor was more stable than in CSTR. Two stage continuous process with CT AB treated cells of Z. mobilis immobilized in K-carrageenan was carried out at various dilution rates. At the first stage, the productivity was increased up to 15 g/ $\ell$ -h as dilution rate increased and decreased over 0.32$h^{-1}$ of dilution rate. Similarly, maximum productivity obtained at the second stage was 22g/$\ell$ -h at 0.32$h^{-1}$

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Feasibility Study on Long-Term Continuous Ethanol Production from Cassava Supernatant by Immobilized Yeast Cells in Packed Bed Reactor

  • Liu, Qingguo;Zhao, Nan;Zou, Yanan;Ying, Hanjie;Liu, Dong;Chen, Yong
    • Journal of Microbiology and Biotechnology
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    • v.30 no.8
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    • pp.1227-1234
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    • 2020
  • In this study, yeast cell immobilization was carried out in a packed bed reactor (PBR) to investigate the effects of the volumetric capacity of carriers as well as the different fermentation modes on fuel ethanol production. An optimal volumetric capacity of 10 g/l was found to obtain a high cell concentration. The productivity of immobilized cell fermentation was 16% higher than that of suspended-cell fermentation in batch and it reached a higher value of 4.28 g/l/h in repeated batches. Additionally, using this method, the ethanol yield (95.88%) was found to be higher than that of other tested methods due to low concentrations of residual sugars and free cells. Continuous ethanol production using four bioreactors showed a higher productivity (9.57 g/l/h) and yield (96.96%) with an ethanol concentration of 104.65 g/l obtained from 219.42 g/l of initial total sugar at a dilution rate of 0.092 h-1. Furthermore, we reversed the substrate-feed flow directions in the in-series bioreactors to keep the cells at their highest activity and to extend the length of continuous fermentation. Our study demonstrates an effective method of ethanol production with a new immobilized approach, and that by switching the flow directions, traditional continuous fermentation can be greatly improved, which could have practical and broad implications in industrial applications.

FUZZY G-CLOSURE OPERATORS

  • Kim, Yong-Chan;Ko, Jung-Mi
    • Communications of the Korean Mathematical Society
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    • v.18 no.2
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    • pp.325-340
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    • 2003
  • We introduce a fuzzy g-closure operator induced by a fuzzy topological space in view of the definition of Sostak [13]. We show that it is a fuzzy closure operator. Furthermore, it induces a fuzzy topology which is finer than a given fuzzy topology. We investigate some properties of fuzzy g-closure operators.

ON SEQUENTIALLY g-CONNECTED COMPONENTS AND SEQUENTIALLY LOCALLY g-CONNECTEDNESS

  • Vijayashanthi, Palanichamy
    • Korean Journal of Mathematics
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    • v.29 no.2
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    • pp.355-360
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    • 2021
  • In this paper, we introduce the definition of sequentially g-connected components and sequentially locally g-connected by using sequentially g-closed sets. Moreover, we investigate some characterization of sequentially g-connected components and sequentially locally g-connected.

Comparative Study on Continuous Ethanol Fermentation by Immobilized Tubular Fermentor (고정화된 효모로 충전된 관형발효기에서의 에탄올 연속발효)

  • 서근학;최명호;송승구
    • Microbiology and Biotechnology Letters
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    • v.16 no.3
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    • pp.205-212
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    • 1988
  • The immobilized cell tubular tormentor was prepared by wood chips or alginate gel. Investigations of characterization of the performance of ethanol fermentation in the immobilized cell tubular tormentor were undertaken and the results were compared with those of other tormentors. The immobilized cell tormentor packed with alginate gel showed much higher ethanol productivity than that with wood chip. It was concluded that the immobilized cell tubular tormentor packed with alginate gel might offer better perspectives for continuous ethanol production than that with wood chip.

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Observed Quasi-steady Kinetics of Yeast Cell Growth and Ethanol Formation under Very High Gravity Fermentation Condition

  • Chen Li-Jie;Xu Ya-Li;Bai Feng-Wu;Anderson William A.;Murray Moo-Young
    • Biotechnology and Bioprocess Engineering:BBE
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    • v.10 no.2
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    • pp.115-121
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    • 2005
  • Using a general Saccharomyces cerevisiae as a model strain, continuous ethanol fermentation was carried out in a stirred tank bioreactor with a working volume of 1,500 mL. Three different gravity media containing glucose of 120, 200 and 280 g/L, respectively, supplemented with 5 g/L yeast extract and 3 g/L peptone, were fed into the fermentor at different dilution rates. Although complete steady states developed for low gravity medium containing 120 g/L glucose, quasi-steady states and oscillations of the fermented parameters, including residual glucose, ethanol and biomass were observed when high gravity medium containing 200 g/L glucose and very high gravity medium containing 280 g/L glucose were fed at the designated dilution rate of $0.027\;h^{-1}$. The observed quasi-steady states that incorporated these steady states, quasi-steady states and oscillations were proposed as these oscillations were of relatively short periods of time and their averages fluctuated up and down almost symmetrically. The continuous kinetic models that combined both the substrate and product inhibitions were developed and correlated for these observed quasi-steady states.