Confidence bands for the Michaelis-Menten kinetic model

1991 ◽  
Vol 32 (1) ◽  
pp. 253-260
Author(s):  
M. Tez
2005 ◽  
Vol 11 (2) ◽  
pp. 59-62 ◽  
Author(s):  
Dragisa Savic ◽  
Miodrag Lazic ◽  
Vlada Veljkovic ◽  
Miroslav Vrvic

The batch oxidation kinetics of ferrous iron by Acidithiobacillus ferrooxidans were examined at different oxygen transfer rates and pH in an aerated stirred tank and a bubble column. The microbial growth, oxygen consumption rate and ferrous and ferric iron were monitored during the biooxidation. A kinetic model was established on the basis of the Michaelis-Menten kinetic equation for bacterial growth and the constants estimated from experimental data (maximum specific growth rate 0.069 h-1, saturation constant 2.9 g/dm3, and biomass yield coefficient based on ferrous iron 0.003 gd.w./gFe). Values calculated from the model agreed well with the experimental ones regardless of the bioreactor type and pH conditions.


2016 ◽  
Author(s):  
Sebastián A. Díaz ◽  
Carl W. Brown ◽  
Anthony P. Malanoski ◽  
Eunkeu Oh ◽  
Kimihiro Susumu ◽  
...  

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Mathieu Fournié ◽  
Gilles Truan

AbstractPhytoene desaturases catalyse from two to six desaturation reactions on phytoene, generating a large diversity of molecules that can then be cyclised and produce, depending on the organism, many different carotenoids. We constructed a phylogenetic tree of a subset of phytoene desaturases from the CrtI family for which functional data was available. We expressed in a bacterial system eight codon optimized CrtI enzymes from different clades. Analysis of the phytoene desaturation reactions on crude extracts showed that three CrtI enzymes can catalyse up to six desaturations, forming tetradehydrolycopene. Kinetic data generated using a subset of five purified enzymes demonstrate the existence of characteristic patterns of desaturated molecules associated with various CrtI clades. The kinetic data was also analysed using a classical Michaelis–Menten kinetic model, showing that variations in the reaction rates and binding constants could explain the various carotene patterns observed. Competition between lycopene cyclase and the phytoene desaturases modified the distribution between carotene intermediates when expressed in yeast in the context of the full β-carotene production pathway. Our results demonstrate that the desaturation patterns of carotene molecules in various biological environments cannot be fully inferred from phytoene desaturases classification but is governed both by evolutionary-linked variations in the desaturation rates and competition between desaturation and cyclisation steps.


2017 ◽  
Vol 2 (6) ◽  
pp. 439
Author(s):  
Efri Mardawatia ◽  
Dwi Wahyudha Wira ◽  
M. Djali ◽  
Fetriyuna Fetriyuna ◽  
Edi Suryadi

Oil palm petiole is  the solid waste  of the crude palm oil industry.  It contains about 35% cellulose, 18% hemicellulose and 22-25% lignin.  During hydrolysis   lingo celllulosic, cellulose and hemicellulose are gradually degraded into fermentable sugars, such as glucose and xylose. Enzymatic hydrolysis of oil palm petioleby xylanase could be an effective biotechnological process, since it can be performed at ambient temperature and pressure. Further glucose and xylose can be used as raw material for the production of a wide variety of chemicals such as xylitol and bioethanol. The aim of this study wasto examine the optimum conditions needed for the enzymatic hydrolysis  of oil palm petioles, particularly temperature and pH. A surface Response Method Methodologies  (RSM) by central composite design (CCD) was employed to obtain  the optimum xylose concentration.   The dynamics of enzymatic hydrolysis   process was modelled using the Michaelis Menten kinetic model with kinetic parameters obtained from   experimental data. The results of this study lead to an enhanced process of the enzymatic hydrolysis of oil palm petiole, whichwas shown to follow the Michaelis Menten kinetic  model and the kinetic parameters including Km and Vm were obtained, they were 6.433 g/L  andVm= 0.042 g/L/min. The optimum hydrolysis condition wereobserved to be at temperature 50oC and pH 4.8. Keywords: enzymatic hydrolysis; glucose; kinetic modelling; oil palm petioles; xylose


2002 ◽  
Vol 7 (2) ◽  
pp. 3-14 ◽  
Author(s):  
R. Baronas ◽  
J. Christensen ◽  
F. Ivanauskas ◽  
J. Kulys

A mathematical model of amperometric biosensors has been developed. The model bases on non-stationary diffusion equations containing a non-linear term related to Michaelis-Menten kinetic of the enzymatic reaction. The model describes the biosensor response to mixtures of multiple compounds in two regimes of analysis: batch and flow injection. Using computer simulation, large amount of biosensor response data were synthesised for calibration of a biosensor array to be used for characterization of wastewater. The computer simulation was carried out using the finite difference technique.


2008 ◽  
Vol 7 (1) ◽  
pp. 9-12 ◽  
Author(s):  
Ilie Siminiceanu ◽  
Carmen-Ionela Alexandru ◽  
Eric Brillas

2008 ◽  
Vol 59 (4) ◽  
Author(s):  
Neculai Catalin Lungu ◽  
Maria Alexandroaei

The aim of the present work is to offer a practical methodology to realise an Arrhenius type kinetic model for a biotechnological process of alcoholic fermentation based on the Saccharomyces cerevisiae yeast. Using the experimental data we can correlate the medium temperature of fermentation with the time needed for a fermentation process under imposed conditions of economic efficiency.


2018 ◽  
Vol 69 (10) ◽  
pp. 2633-2637
Author(s):  
Raluca Dragomir ◽  
Paul Rosca ◽  
Cristina Popa

The main objectives of the present paper are to adaptation the five-kinetic model of the catalytic cracking process and simulation the riser to predicts the FCC products yields when one of the major input variable of the process is change. The simulation and adaptation are based on the industrial data from Romanian refinery. The adaptation is realize using a computational method from Optimization Toolbox from Matlab programming language. The new model can be used for optimization and control of FCC riser.


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