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Kinetic Modeling of Ethanol Production by Scheffersomyces stipitis from Xylose

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Abstract

This work focuses on the kinetics of ethanol production by Scheffersomyces stipitis on xylose with the development of a mathematical model considering the effect of substrate and product concentrations on growth rate. Experiments were carried out in batch and continuous modes, with substrate concentration varying from 7.2 to 145 g L−1. Inhibitory effects on cell growth, substrate uptake, and ethanol production rates were found to be considerable. Kinetic parameters were obtained through linear and non-linear regression methods. Experiments in continuous mode were performed at different dilution rates to evaluate the inhibitory effect of ethanol. A mixed mathematical model which combined Andrews and Levenspiel's models, combining substrate and product inhibition, was used. A quasi-Newton routine was applied to obtain a more accurate fitting of kinetic parameters. The parameters such as cell to product factor (Y P/X) and limiting cell yield (Y X) were shown to be dependent on substrate concentration. The kinetic model fitted satisfactorily the experimental data.

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Abbreviations

AA:

Acetic acid concentration (g L−1)

K I :

Substrate inhibition coefficient (g L−1)

K S :

Substrate saturation parameter (g L−1)

m X :

Maintenance coefficient (g g−1 h−1)

n :

Parameter describing product inhibition

P :

Product concentration (g L−1)

P f :

Final ethanol concentration (g L−1)

P max :

Maximal product concentration when cell growth ceases (g L−1)

S :

Substrate concentration (g L−1)

S 0 :

Initial substrate concentration (g L−1)

S f :

Final substrate concentration (g L−1)

S*:

Substrate concentration at which the measured specific growth rate is maximum (g L−1)

X :

Biomass concentration (g L−1)

Xy:

Xylitol concentration (g L−1)

Xyf :

Final xylitol concentration (g L−1)

t T :

Fermentation total time (h)

X 0 :

Initial biomass concentration (g L−1)

X f :

Final biomass concentration (g L−1)

D :

Dilution rate (h−1)

r P :

Ethanol production rate (g L−1 h−1)

r S :

Substrate uptake rate (g L−1 h−1)

r X :

Cell growth rate (g L−1 h−1)

Y P/X :

Cell to product conversion factor (g g−1)

Y X :

Limiting cell yield (g g−1)

Y X/S :

Biomass yield (g g−1)

Y P/S :

Ethanol yield (g g−1)

μ max :

Maximum specific growth rate as described by Monod's model (h−1)

\( {\mu}_{{}_{\max}}^{\ast } \) :

The maximum specific growth rate related to each initial substrate concentration (h−1)

μ X :

Specific growth rate (h−1)

μ S :

Specific substrate uptake rate (h−1)

μ P :

Specific ethanol production rate (h−1)

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Acknowledgments

The authors acknowledge Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) for financial support.

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Authors and Affiliations

  1. School of Food Engineering, University of Campinas, CEP 13083-862, Campinas, SP, Brazil

    Daniele Farias & Francisco Maugeri-Filho

  2. Department of Exact and Earth Sciences, Federal University of São Paulo, UNIFESP, Diadema, São Paulo, Brazil

    Rafael R. de Andrade

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Correspondence to Daniele Farias.

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Farias, D., de Andrade, R.R. & Maugeri-Filho, F. Kinetic Modeling of Ethanol Production by Scheffersomyces stipitis from Xylose. Appl Biochem Biotechnol 172, 361–379 (2014). https://doi.org/10.1007/s12010-013-0546-y

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