Fermentation kinetics including product and substrate inhibitions plus biomass death: a mathematical analysis

Details Fermentation kinetics including product and substrate inhibitions plus biomass death: a mathematical analysis Fermentation kinetics including product and substrate inhibitions plus biomass death: a mathematical analysis

2005-09-13

arxiv.org/abs/q-bio/0509014v2

Biotechnology Letters 29(5), 737-741 (2007)

Biology

Quantitative Biology

Quantitative Methods

4 pages, 4 figures

Scientific paper

10.1007/s10529-006-9296-z

Fermentation is generally modelled by kinetic equations giving the time evolutions for biomass, substrate, and product concentrations. Although these equations can be solved analytically in simple cases if substrate/product inhibition and biomass death are included, they are typically solved numerically. We propose an analytical treatment of the kinetic equations --including cell death and an arbitrary number of inhibitions-- in which constant yield needs not be assumed. Equations are solved in phase space, i.e. the biomass concentration is written explicitly as a function of the substrate concentration.

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