Application of Stoichiometric and Kinetic Analyses to Characterize Cell Growth and Product Formation

Author(s):  
Derek Adams ◽  
Rashmi Korke ◽  
Wei-Shou Hu
2020 ◽  
Author(s):  
Arnaldo Silva Oliveira ◽  
Juan C. B. Neto ◽  
Igor J. B. Santos ◽  
Edson R. Nucci

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.


2002 ◽  
Vol 12 (3) ◽  
pp. 181-192 ◽  
Author(s):  
M.Eugénia Esgalhado ◽  
Ana Teresa Caldeira ◽  
J.Carlos Roseiro ◽  
A.Nick Emery

2013 ◽  
Vol 781-784 ◽  
pp. 647-652
Author(s):  
Shuang Gao ◽  
Ling Hua Zhang ◽  
Qing Chen ◽  
Lin Bai ◽  
Ya Jun Lang

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.


2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Maedeh Mohammadi ◽  
Abdul Rahman Mohamed ◽  
Ghasem D. Najafpour ◽  
Habibollah Younesi ◽  
Mohamad Hekarl Uzir

The intrinsic growth, substrate uptake, and product formation biokinetic parameters were obtained for the anaerobic bacterium,Clostridium ljungdahlii, grown on synthesis gas in various pressurized batch bioreactors. A dual-substrate growth kinetic model using Luong for CO and Monod for H2was used to describe the growth kinetics of the bacterium on these substrates. The maximum specific growth rate (μmax= 0.195 h−1) and Monod constants for CO (Ks,CO= 0.855 atm) and H2(Ks,H2= 0.412 atm) were obtained. This model also accommodated the CO inhibitory effects on cell growth at high CO partial pressures, where no growth was apparent at high dissolved CO tensions (PCO∗>0.743 atm). The Volterra model, Andrews, and modified Gompertz were, respectively, adopted to describe the cell growth, substrate uptake rate, and product formation. The maximum specific CO uptake rate (qmax= 34.364 mmol/gcell/h), CO inhibition constant (KI= 0.601 atm), and maximum rate of ethanol (Rmax= 0.172 mmol/L/h atPCO= 0.598 atm) and acetate (Rmax= 0.096 mmol/L/h atPCO= 0.539 atm) production were determined from the applied models.


2010 ◽  
Vol 16 (2) ◽  
pp. 115-125 ◽  
Author(s):  
S. Arrivukkarasan ◽  
M. Muthusivaramapandian ◽  
R. Aravindan ◽  
T. Viruthagiri

Microbial L-asparaginase occupies a prominent place among biocatalysts owing to their ability to catalyze the reaction that hydrolyze the asparagine molecule. Effect of various medium components on the production of L-asparaginase in submerged fermentation by Pectobacterium carotovorum was studied for optimal nutrient requirements. Six different media compositions were tested for the L-asparaginase production keeping fermentation conditions constant at temperature 30 °C, initial pH 7.0 and agitation speed of 120 rpm. Maximum intracellular and extracellular L-asparaginase activity was obtained in the medium containing tryptone, yeast extract, monosodium glutamate, K2HPO4 and L-asparagine. These medium components were further optimized by central composite experimental design using response surface methodology. Maximum intracellular and extracellular L-asparaginase activity of 2.282 U/mL and 0.587 U/mL were obtained respectively at the late logarithmic phase in optimized media. Unstructured kinetic models were used to describe the cell growth and product formation kinetics. The unstructured models predicted the cell growth and product formation profile accurately with high coefficient of determination.


2008 ◽  
Vol 196 (4) ◽  
pp. 481-490 ◽  
Author(s):  
Liping Wang ◽  
Darin Ridgway ◽  
Tingyue Gu ◽  
Murray Moo-Young

Author(s):  
Michael Persson ◽  
Mats Galbe ◽  
Ola Wallberg

AbstractNitrogen-containing nutrient sources can be used to mitigate the negative effects of pretreatment-derived inhibitors on product formation rates during bioethanol production. Process economic limitations require these nutrients to be inexpensive. A method of hydrolyzing the protein in the spent grain fraction remaining after wheat grain saccharification, using porcine pancreas trypsin, is presented. This protein hydrolysate was shown to increase the volumetric productivity of ethanol production, measured after 24 h, during fermentation of a lignocellulosic hydrolysate from 0.24 to 0.60 g/L h. Although the effects on the productivity, on a per gram basis, were lower than with yeast extract, which increased the product formation rate to 1.64 g/L h, amino acid analysis of the soluble polypeptides in the protein hydrolysate showed that the feasibility of using spent grain as a nutrient source could be increased through optimization of the hydrolysis step. Furthermore, it was shown that pretreatment-derived inhibitors could reduce cell growth without affecting ethanol formation rates and that nutrient addition could increase ethanol formation rates without increasing cell growth. Finally, it was shown that the ability of nutrients to affect the product formation rate was limited above a certain inhibitor concentration.


2001 ◽  
Vol 17 (4) ◽  
pp. 624-628 ◽  
Author(s):  
T. Zhu ◽  
C. Phalakornkule ◽  
R.R. Koepsel ◽  
M.M. Domach ◽  
M.M. Ataai

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