A kinetic study of the lactic acid fermentation. Batch process at controlled pH

Luedeking, Robert; Piret, Edgar L.

doi:10.1002/jbmte.390010406

Cited by 827 publications

(283 citation statements)

References 16 publications

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“…During these procedures the ordinary differential equations (ODE) were integrated numerically by means of the Differential Evolution (DE) algorithm [39] as described above. a -term of the Luedeking-Piret equation [35] Table 1 also demonstrates that the different substrates for the ethanol fermentation by Kluyveromyces marxianus do not affect the structure of the model, which follows from the identical parameter sets being eligible for the system of relevant ODE. Although, the numerical values of the parameters are noticeably affected.…”

Section: Resultsmentioning

confidence: 90%

“…Thus, equation 2 represents the generalized population growth model where the rate constant µ values are determined by equation 1. As well as in equations 3 and 4 describing the rates of substrate consumption [27; 33] and product formation [35], respectively. The whole system of ODE describing the batch kinetics of fermentation by K. marxianus was solved using the Real-valued Variable-coefficient ODE solver, with the fixed-leading-coefficient implementation.…”

Section: Model Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Kinetic modeling of ethanol fermentation by yeast Kluyveromyces marxianus from lactose- and polyfructan- containing substrates

Martynova¹,

Mednis²,

Vigants³

et al. 2017

Engineering for Rural Development

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Abstract. An unstructured kinetic model was developed in this study for the batch production of bioethanol by the yeast Kluyveromyces marxianus DSM 5422 from the renewable sources of agricultural and food processing origin, such as whey permeate or inulin, which include the terms of both substrate and product inhibitions. Experimental data collected from multiple fermentations in bioreactors with three different initial concentrations for each substrate were used to estimate the parameters and to validate the proposed model. The growth of K.marxianus can be expressed by the Haldane-type extended Monod model in combination with the Jerusalimsky term for the non-competitive product inhibition and the Luedeking-Piret equation was adequate to describe the growth-associated formation of ethanol as the target product. The parameters in the models were estimated by minimizing mean-squared errors between the predictions of the models and the experimental data using the differential evolution (DE) algorithm and the L-BFGS-B nonlinear optimization code. In all cases, the model simulation matched well with the fermentation data being confirmed by the high R-squared values (0.984, 0.992 and 0.965 for WP, lactose and inulin, respectively). The kinetic models proposed here can be employed for the development and optimization of the bioethanol production processes from renewable resources.

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Section: Resultsmentioning

confidence: 90%

Section: Model Formulationmentioning

confidence: 99%

Kinetic modeling of ethanol fermentation by yeast Kluyveromyces marxianus from lactose- and polyfructan- containing substrates

Martynova¹,

Mednis²,

Vigants³

et al. 2017

Engineering for Rural Development

View full text Add to dashboard Cite

show abstract

“…al, [18] had suggested the use of Leudeking-Piret model to represent the PHB production rate associated with both the growth and non-growth stage. The model, originally proposed by Luedeking and Piret [19] can be described as follows: dp dx x dt dt   (4) whereby  and  are the growth and non-growth associated constant, respectively. Substituting equation (1) and (2) into (4) and integrating will yield equation (5) …”

Section: Analytical Proceduresmentioning

confidence: 99%

Kinetic Analysis on Cell Growth and Biosynthesis of Poly (3-Hydroxybutyrate) (PHB) in Cupriavidus Necator H16

Khan¹,

Prasad²,

Abdullah³

et al. 2013

IJBBB

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“…A significant relationship was found in our data between the specific ethanol production rate, dP /(Xdt), and the specific growth rate, µ [dX/(Xdt)], which was expected with growth-associated product formation. Hence ethanol production in this model is viewed as a growth-associated relation with biomass 12 , and inclusion of a non-growth-associated term in this model was not justified in this case. However, a delay of ethanol production was found compared with the cell growth, and little ethanol was produced during the yeast lag growth phase.…”

Section: Model Developmentmentioning

confidence: 99%

Fermentation Kinetics of Different Sugars by Apple Wine YeastSaccharomyces cerevisiae

Wang

et al. 2004

Journal of the Institute of Brewing

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A non-linear kinetic model to predict the consumption of different sugars (glucose, fructose and sucrose) as a substrate, during an apple wine yeast fermentation with Saccharomyces cerevisiae strain CCTCC M201022 is proposed. This model was used to predict sugar utilization by this yeast beginning at various initial sugar concentrations. After observation of the experimental data, a model based on the logistic equation of yeast growth, growthassociated production of ethanol with a lag time, and consumption of sugars for biomass formation and maintenance, was developed. After experimental model fitting, kinetic parameters in the model were estimated. The experimental verification of the model was performed using flask-scale fermentations, and the model obtained predicted the fermentation performance effectively, using different sugars as the substrate set at various initial sugar concentrations. Based on estimated kinetic parameters and the characteristics of sugar utilization, the yeast examined appeared to be glucophilic. The effects of different sugars with various initial concentrations on the fermentation performance by this yeast were investigated, and some applications of kinetic parameters are discussed.

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A kinetic study of the lactic acid fermentation. Batch process at controlled pH

Cited by 827 publications

References 16 publications

Kinetic modeling of ethanol fermentation by yeast Kluyveromyces marxianus from lactose- and polyfructan- containing substrates

Kinetic modeling of ethanol fermentation by yeast Kluyveromyces marxianus from lactose- and polyfructan- containing substrates

Kinetic Analysis on Cell Growth and Biosynthesis of Poly (3-Hydroxybutyrate) (PHB) in Cupriavidus Necator H16

Fermentation Kinetics of Different Sugars by Apple Wine YeastSaccharomyces cerevisiae

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