scholarly journals A kinetic model describingShewanella oneidensis MR-1 growth, substrate consumption, and product secretion

2006 ◽  
Vol 96 (1) ◽  
pp. 125-133 ◽  
Author(s):  
Yinjie J. Tang ◽  
Adam L. Meadows ◽  
Jay D. Keasling
Keyword(s):  
Kinetic Model ◽  
Growth Substrate ◽  
Substrate Consumption

scholarly journals Application Of The Z And Laplace Transforms To Panification Yeast Production Using An Airlift Bioreactor

2020 ◽  
Author(s):  
Arnaldo Silva Oliveira ◽  
Juan C. B. Neto ◽  
Igor J. B. Santos ◽  
Edson R. Nucci
Keyword(s):  
Cell Growth ◽  
Product Formation ◽  
Laplace Transforms ◽  
Discrete Models ◽  
Average Error ◽  
Growth Substrate ◽  
Substrate Consumption ◽  
Yeast Saccharomyces Cerevisiae ◽  
Mathematical Techniques ◽  
Discrete Time Models

Abstract The Z- and Laplace transforms are mathematical techniques applied to solve difference equations and differential equations, respectively. Mathematical models used to describe cell growth, substrate consumption and product formation in bioprocesses can be represented by these types of equations. Thus, in this work, the fermentation process of the yeast Saccharomyces cerevisiae was modeled using different models from the literature, and the Z- and Laplace transforms were applied to solve the equations. Once the equations were solved, the models were represented in state space and simulated in Octave® software. Finally, the models were compared to experimental data from previous studies and to each other. Verhulst was the model that best described the process, with an average error of 4.74% for cell growth and 13.9% for substrate consumption. This work is unprecedented since no works that use the Z transform and discrete models for the representation of fermentation of this yeast were found in the literature. Even more importantly, this work proved that discrete-time models can be applied to bioprocesses with the same precision as continuous-time models.

The Study of the Kinetic Model of Halomonas Salina Fermenting Ectoine

2013 ◽  
Vol 781-784 ◽  
pp. 647-652
Author(s):  
Shuang Gao ◽  
Ling Hua Zhang ◽  
Qing Chen ◽  
Lin Bai ◽  
Ya Jun Lang
Keyword(s):  
Cell Growth ◽  
Kinetic Model ◽  
Monosodium Glutamate ◽  
Biomass Concentration ◽  
Correlation Coefficients ◽  
Kinetic Mechanism ◽  
Product Formation ◽  
Substrate Consumption ◽  
Nonlinear Fitting ◽  
Potential Applications

Ectoine had important physiological functions and superior potential applications, so the study of ectoine was extensively attented. This article was related to kinetic models of cell growth, product formation and substrate consumption, which was not only established according to the characteristics of ectoine batch fermentation by Halomonas salina DSM 5928 but also obtained the kinetic parameters by the nonlinear fitting method in the Microcal Origin software. Logistic, Luedeking-Piret and Luedeking-Piret-like equations was applied to analyze the cell growth, the ectoine formation and the substrate consumption by the kinetic model，respectively. The results between calculated values and experimental data were coincident. By fitting, correlation coefficients R2 were ≥ 0.989. The fermentation conditions of ectoine were analyzed according to the model. The results showed that ectoine productivity (0.28 g/L/h) was the highest when initial monosodium glutamate concentration (S0) was 60 g/L. However, when S0 was 80 g/L, the ectoine concentration was maximal, i.e., 7.59 g/L. The research suggested that ectoine formation belonged to the mixed kinetic mechanism of cell growth and biomass concentration, while the ectoine production mainly depended on instantaneous biomass concentration. The fermentation method for improving ectoine concentration was further proved. The established kinetic model will be of significant value to provide the optimal conditions of present process.

scholarly journals Kinetics of Vinyl Acetate Biodegradation by Pseudomonas fluorescens PCM 2123

2018 ◽  
Vol 25 (3) ◽  
pp. 487-502 ◽  
Author(s):  
Agnieszka Gąszczak ◽  
Grażyna Bartelmus ◽  
Izabela Greń ◽  
Daniel Janecki
Keyword(s):  
Kinetic Model ◽  
Pseudomonas Fluorescens ◽  
Vinyl Acetate ◽  
Batch Reactor ◽  
Dry Weight ◽  
Growth Substrate ◽  
Biodegradation Rate ◽  
Maintenance Metabolism ◽  
Kinetics Of ◽  
Substrate Concentrations

Abstract The microbial degradation of vinyl acetate (VA) by Pseudomonas fluorescens PCM 2123 strain was studied in both batch and continuous modes. The purpose of the experiments was to determine the kinetic model of the cell growth and biodegradation rate of vinyl acetate (VA), which was the sole carbon and energy source for tested microorganisms. The experiments, carried out in a batch reactor for several initial concentrations of growth substrate in the liquid phase ranging from 18.6 to 373 gsubstrate·m−3 (gs·m−3) made it possible to choose the kinetic model and to estimate its constants. The Haldane inhibitory model with the values of constants: μm = 0.1202 h−1, KS = 17.195 gs·m−3, Ki = 166.88 gs·m−3 predicted the experimental data with the best accuracy. To set the parameters of maintenance metabolism it was necessary to carry out a series of continuous cultures at different dilution rates (0.05 to 0.072 h−1) and concentrations of VA in the liquid supplied to the chemostat ranging from 30.9 to 123.6 gs·m−3. The obtained data-base enabled to determine the coefficient for maintenance metabolism (me = 0.0251 gsubstrate gcell dry weight−1·h−1 (gs·gcdw−1·h−1)) as well as the maximal and observed values of yield coefficients, Yxs M = 0.463 gcdw·gs−1 and (Yxs)obs = 0.411 gcdw·gs−1, respectively. The developed kinetics was verified by comparison of the computed and obtained in batch experiments profiles of changes in biomass and growth substrate concentrations.

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