• Title/Summary/Keyword: Growth kinetic

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Mathematical Modeling with Cell Morphology and Its Application to Fed-batch Culture in Cephalosporium Fermentation (Cephalosporium 발효시 균체의 형태학적 측면을 고려한 수학적 모델링 및 유가식 배양에의 응용)

  • 김의용;유영제
    • Microbiology and Biotechnology Letters
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    • v.19 no.5
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    • pp.521-535
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    • 1991
  • A kinetic model incorporating cell morphology in cephalosporin C biosynthesis by Cephalosporium amemoniurn was developed. The double-substrate Double-substrate kinetic model was used to describe cell growth. Methionine controlled the rate of growth while glucose ultimately controlled the extent of growth. The changes in specific product formation rate were associated with morphologenesis, especially cell differentiation. To increase the productivity of cephalosporin C, the proposed model equations were applied to a fed-batch culture. The algorithm to optimize the fed-batch culture consists of two steps; cell growth was maximized in the growth phase and then cephalosporin C production was maximized in the production phase. The increase of about 33% in the cephalosporin C titre was obtained by the optimal feeding scheduling in comparison with that of batch culture.

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Kinetic Studies of Alkaline Protease from Bacillus licheniformis NCIM-2042

  • Bhunia, Biswanath;Basak, Bikram;Bhattacharya, Pinaki;Dey, Apurba
    • Journal of Microbiology and Biotechnology
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    • v.22 no.12
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    • pp.1758-1766
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    • 2012
  • An extensive investigation was carried out to describe the kinetics of cell growth, substrate consumption, and product formation in the batch fermentation using starch as substrate. Evaluation of intrinsic kinetic parameters was carried out using a best-fit unstructured model. A nonlinear regression technique was applied for computational purpose. The Andrew's model showed a comparatively better $R^2$ value among all tested models. The values of specific growth rate (${\mu}_{max}$), saturation constant ($K_S$), inhibition constant ($K_I$), and $Y_{X/S}$ were found to be 0.109 $h^{-1}$, 11.1 g/l, 0.012 g/l, and 1.003, respectively. The Leudeking-Piret model was used to study the product formation kinetics and the process was found to be growth-associated. The growth-associated constant (${\alpha}$) for protease production was sensitive to substrate concentration. Its value was fairly constant up to a substrate concentration of 30.8 g/l, and then decreased.

Biodegradation Kinetics of Nonylphenol Ethoxylates by Pseudomonas sp. (Pseudomonas sp.에 의한 Nonylphenol Ethoxylates의 Kinetics)

  • 김수정;이종근;이상준
    • Journal of Environmental Science International
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    • v.2 no.4
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    • pp.271-278
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    • 1993
  • Optimal biodegradation kinetics models to the initial nonylphenol ethoxylates-30 concentration were investigated and had been fitted by the linear regression. Microorganisms capable of degrading nonylphenol ethoxylates-30 were isolated from sewage near Ulsan plant area by enrichment culture technique. Among them, the strain designated as EL-10K had the highest biodegradability and was identified as Pseudomonas from results of taxonomical studies. The optimal conditions for the biodegradation were 1.0 g/ι of nonylphenol ethoxylates-30 and 0.02 g/ι of ammonium nitrate at pH 7.0 and 3$0^{\circ}C$. The highest degradation rate of nonylphenol ethoxylates-30 was about 89% for 30 hours incubation on the optimal condition. Biodegradation data were fit by linear regression to equations for 3 kinetic models. The kinetics of biodegradation of nonylphenol ethoxylates was best described by first order model for 0.1 $\mu\textrm{g}$/ι nonylphenol ethoxylates-30 ; by Monod no growth model and Monod with growth model for 0.5 $\mu\textrm{g}$/mι and 1.0, 5.0 $\mu\textrm{g}$/mι, respectively.

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Kinetic Studies of Lactic Acid Fermentation(Part 4) -Kinetic Stuies on Continuous Cultivation- (유산균발효에 관한 동력학적연구(제4보) -연속배양에 있어서의 동력학적연구-)

  • LEE Keun-Tai;YANG Hyeun-Suk
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.15 no.3
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    • pp.179-184
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    • 1982
  • The behavior of continuous flow culture of Lartobacillus bulgricus was investigated by application of Monod's kinetic model. The parameters obtained from Monod's chemostat theory successfully predicted the behavior of the chemostat. Then, it was found that Monod's kinetics were applicable to the growth rate dependence on glucose concentration. Under steady-state condition, the maximum growth rate, saturation constant, and wash out were found to be 0.62/hr, 7.69 g/1, 0.51/hr of continuous culture. And the optimum condition for the highest cell production was 0.41/hr in dilution rate, and at that point the cell production rate was 0.178g/1 hr.

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Thermal Degradation Kinetics of Antimicrobial Agent, Poly(hexamethylene guanidine) Phosphate

  • Lee, Sang-Mook;Jin, Byung-Suk;Lee, Jae-Wook
    • Macromolecular Research
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    • v.14 no.5
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    • pp.491-498
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    • 2006
  • The thermal degradation of poly(hexamethylene guanidine) phosphate (PHMG) was studied by dynamic thermogravimetric analysis (TGA) and pyrolysis-GC/MS (p-GC). Thermal degradation of PHMG occurs in three different processes, such as dephosphorylation, sublimation/vaporization of amine compounds and decomposition/ recombination of hydrocarbon residues. The kinetic parameters of each stage were calculated from the Kissinger, Friedman and Flynn-Wall-Ozawa methods. The Chang method was also used for comparison study. To investigate the degradation mechanisms of the three different stages, the Coats-Redfern and the Phadnis-Deshpande methods were employed. The probable degradation mechanism for the first stage was a nucleation and growth mechanism, $A_n$ type. However, a power law and a diffusion mechanism, $D_n$ type, were operated for the second degradation stage, whereas a nucleation and growth mechanism, $A_n$ type, were operated again for the third degradation stage of PHMG. The theoretical weight loss against temperature curves, calculated by the estimated kinetic parameters, well fit the experimental data, thereby confirming the validity of the analysis method used in this work. The life-time predicted from the kinetic equation is a valuable guide for the thermal processing of PHMG.

Verification for the Effect of Growth Hormone Promotion and Kinetic Factor Evaluation on Growth Hormone Activated Shoes (성장호르몬 활성화 신발에 대한 운동역학적(지면반력, 최대압력) 평가 및 성장호르몬 분비 효과 검증)

  • Moon, Young-Jin
    • Korean Journal of Applied Biomechanics
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    • v.18 no.1
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    • pp.235-243
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    • 2008
  • The purpose of this study is to find out the effect of Growth Hormone promotin and kinetic factors on Growth Hormone Activated Shoes. The results of the present study were as follows; First, there was a significient difference between a normal shoes and the Growth Hormone activated shoes in the student's GH secretion with running test, and there was a significant interaction effect between shoes and distance. therefore it can be assumed that there is a significant effect of GH secretion in student at growth period during running with Growth Hormine Activated Shoes. Second, Within 4km walking, Growth Hormone secretion was in creased averagely in student. Third, Growth Hormone Activated Shoes make a large load for light motion as walking. For heavy motion as running, it make a large impulsion but good pressure distribution and small loading rate.

Application of Probabilistic Model to Calculate Probabilities of Escherichia coli O157:H7 Growth on Polyethylene Cutting Board

  • Lee, Joo-Yeon;Suk, Hee-Jin;Lee, Hee-Young;Lee, Soo-Min;Yoon, Yo-Han
    • Food Science of Animal Resources
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    • v.32 no.1
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    • pp.62-67
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    • 2012
  • This study calculated kinetic parameters of Escherichia coli O157:H7 and developed a probabilistic model to estimate growth probabilities of E. coli O157:H7 on polyethylene cutting boards as a function of temperature and time. The surfaces of polyethylene coupons ($3{\times}5$ cm) were inoculated with E. coli O157:H7 NCCP11142 at 4 Log $CFU/cm^2$. The coupons were stored at 13 to $35^{\circ}C$ for 12 h, and cell counts of E. coli O157:H7 were enumerated on McConkey II with sorbitol agar every 2 h. Kinetic parameters (maximum specific growth rate, Log $CFU/cm^2/h$; lag phase duration, h; lower asymptote, Log $CFU/cm^2$; upper asymptote, Log $CFU/cm^2$) were calculated with the modified Gompertz model. Of 56 combinations (temperature${\times}$time), the combinations that had ${\geq}$0.5 Log $CFU/cm^2$ of bacterial growth were designated with the value of 1, and the combinations that had increases of <0.5 Log $CFU/cm^2$ were given the value 0. These growth response data were fitted to the logistic regression to develop the model predicting probabilities of E. coli O157:H7 growth. Specific growth rate and growth data showed that E. coli O157:H7 cells were grown at $28-35^{\circ}C$, but there were no obvious growth of the pathogen below $25^{\circ}C$. Moreover, the developed probabilistic model showed acceptable performance to calculate growth probability of E. coli O157:H7. Therefore, the results should be useful in determining upper limits of working temperature and time, inhibiting E. coli O157:H7 growth on polyethylene cutting board.

ATOMIC SCALE CRYSTAL GROWTH PROCESSES

  • Jackson, Kenneth A.;Beatty, Kirk M.
    • Proceedings of the Korea Association of Crystal Growth Conference
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    • 1999.06a
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    • pp.69-80
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    • 1999
  • Computer simulations have played a central role in the development of out understanding of the atomic scale processes involved in crystal growth. The assumptions underlying computer modeling will be discussed and out recent work on modeling of the kinetic formation of thermodynamically unstable phases in alloys or mixtures will be reviewed. Our Monte Carlo computer simulations have reproduced the experimental results on the rapid recrystallization of laser-melted doped silicon. An analytical model for this phenomenon has been developed, and its applicability to other materials will be discussed.

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The Growth Rate Difference in Lithium Triborate Single Crystal Along the Polar Direction

  • Jung, Jin-Ho;Chung, Su-Jin
    • The Korean Journal of Ceramics
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    • v.6 no.1
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    • pp.53-57
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    • 2000
  • It was observed that the growth rates are different each other in the opposite direction along c-axis due to the crystal polarity. In according to the calculation based on diffusional equations with consideration of the electrical polarization and the surface charge, the difference of growth rates could be explained. Some experiments were compared with this kinetic explanation.

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Atomic scale crystal growth processes

  • Jackson, Kenneth A.;Beatty, Kirk M.
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.9 no.4
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    • pp.365-370
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    • 1999
  • Computer simulations have played a central role in the development of our understanding of the atomic scale processes involved in crystal growth. The assumptions underlying computer modeling will be discussed and our recent work on modeling of the kinetic formation of thermodynamically unstable phases in alloys or mixtures will be reviewed. Our Monte Carlo computer simulations have reproduced the experimental results on the rapid recrystallization of laser-melted doped silicon. An analytical model for this phenomenon has been developed, and its applicability to other materials will be discussed.

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