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Inferring mixed-culture growth from total biomass data in a wavelet approach

Author

Listed:
  • Ibarra-Junquera, V.
  • Escalante-Minakata, P.
  • Murguía, J.S.
  • Rosu, H.C.

Abstract

It is shown that the presence of mixed-culture growth in batch fermentation processes can be very accurately inferred from total biomass data by means of the wavelet analysis for singularity detection. This is accomplished by considering simple phenomenological models for the mixed growth and the more complicated case of mixed growth on a mixture of substrates. The main quantity provided by the wavelet analysis is the Hölder exponent of the singularity that we determine for our illustrative examples. The numerical results point to the possibility that Hölder exponents can be used to characterize the nature of the mixed-culture growth in batch fermentation processes with potential industrial applications. Moreover, the analysis of the same data affected by the common additive Gaussian noise still lead to the wavelet detection of the singularities although the Hölder exponent is no longer a useful parameter.

Suggested Citation

  • Ibarra-Junquera, V. & Escalante-Minakata, P. & Murguía, J.S. & Rosu, H.C., 2006. "Inferring mixed-culture growth from total biomass data in a wavelet approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 777-792.
    • Handle: RePEc:eee:phsmap:v:370:y:2006:i:2:p:777-792
    DOI: 10.1016/j.physa.2006.03.015
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    Cited by:

    1. Ibarra-Junquera, V. & Murguía, J.S. & Escalante-Minakata, P. & Rosu, H.C., 2008. "Application of multifractal wavelet analysis to spontaneous fermentation processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2802-2808.

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