Various biomass (X), product (P), and substrate (S) rate equations are considered in order to synthesize a general xanthan fermentation model from literature data. Analytical forms that provide reasonable descriptions for the X, P, and S behaviors reported by Moraine and Rogovin are shown to be the logistic equation, the Luedeking–Piret equation a modified Luedeking‐Piret equation, respectively. The autonomous logistic equation allows the serial evaluation of parameters for all thee equations, rather than a simultaneous determination required by nonautonomous models.
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Weiss et al. (1980) studied this question.
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