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Kinetic modelling of the sequential production of lactic acid and xylitol from vine trimming wastes

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Abstract

A mathematical model describing the kinetics of the sequential production of lactic acid and xylitol from detoxified-concentrated vine trimming hemicellulosic hydrolysates by Lactobacillus rhamnosus and Debaryomyces hansenii, respectively, was developed from the basic principles of mass balance in two stages considering as main reactions: (1) glucose and xylose consumption by L. rhamnosus; and (2) xylitol and arabitol production by D. hansenii. The model allows to evaluate the yields and productivities under microaerobic and oxygen restricted conditions (in particular the effects caused by purging the oxygen with nitrogen), which were particularly important during the xylose to xylitol bioconversion by yeasts. The model was tested using experimental data obtained from detoxified-concentrated hemicellulosic hydrolysates, after CaCO3 addition in both types of fermentation processes, without purges (microaerobic conditions) or purging oxygen with nitrogen (oxygen-limited conditions) after sampling in order to reduce the oxygen dissolved. L. rhamnosus was removed by microfiltration before adding D. hansenii at the beginning of the second stage. Mass balance-based and logistic functions were successfully applied to develop the model of the system which properly predicts the consumption of sugars as well as the metabolites produced and yields. The dynamics of fermentation were also adequately described by the developed model.

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Abbreviations

k :

Number of reaction (k = 1, 2 or 3)

P 0,rk :

Initial product concentration corresponding to the reaction k (g L−1)

P 1 :

Lactic acid concentration (g L−1)

P 2 :

Xylitol concentration (g L−1)

P 3 :

Ethanol concentration (g L−1)

P 4 :

Arabitol concentration (g L−1)

P 5 :

Acetic acid concentration (g L−1)

P max,rk :

Maximum concentration of product for the reaction k (g L−1)

P r,rk :

Ratio between the initial volumetric rate and the initial concentration P 0,rk (h−1)

r 1 :

Fermentation reaction rate corresponding to reaction R1 (g L−1 h−1)

r 2 :

Fermentation reaction rate corresponding to reaction R2 (g L−1 h−1)

S 1 :

Glucose concentration (g L−1)

S 2 :

Xylose concentration (g L−1)

S 3 :

Arabinose concentration (g L−1)

t 0 :

Time zero of the corresponding stage (h)

t f :

Final time of the corresponding stage (h)

Y P1/S1 :

Lactic acid on glucose yield (g g−1)

Y P1/S2 :

Lactic acid on xylose yield (g g−1)

Y P2/S2 :

Xylitol on xylose yield (g g−1)

Y P2/S3 :

Xylitol on arabinose yield (g g−1)

Y P2/P3 :

Stoichiometric ratio between xylitol and ethanol (g g−1)

Y P4/S3 :

Arabitol on arabinose yield (g g−1)

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Acknowledgments

We are grateful for the financial support of this work to the Xunta de Galicia (project 09TAL13383PR).

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Authors and Affiliations

  1. Group of Sustainable Processes and Products Engineering and Management, Department of Chemical Engineering/School of Engineering, USC, University of Santiago de Compostela, Rúa Lope Gómez de Marzoa s/n, 15782, Santiago de Compostela, Spain

    Carlos García-Diéguez & Enrique Roca

  2. Department of Chemical Engineering, University of Vigo (Campus Ourense), As Lagoas s/n, 32004, Ourense, Spain

    José Manuel Salgado & José Manuel Domínguez

  3. Laboratory of Agro-food Biotechnology, CITI-University of Vigo, Tecnópole, Parque Tecnológico de Galicia, San Cibrao das Viñas, Ourense, Spain

    José Manuel Salgado & José Manuel Domínguez

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  1. Carlos García-Diéguez
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Correspondence to José Manuel Domínguez.

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García-Diéguez, C., Salgado, J.M., Roca, E. et al. Kinetic modelling of the sequential production of lactic acid and xylitol from vine trimming wastes. Bioprocess Biosyst Eng 34, 869–878 (2011). https://doi.org/10.1007/s00449-011-0537-8

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