A systematic derivation of the Monod equation for multi-substrate conditions

A simple kinetics scheme was considered for the systematic derivation of the Monod equation for multi-substrate conditions. The model derivation is based on a series expansion of the system solution in terms of a characteristic time constant. The multi-substrate Monod equation is structurally similar to the single-substrate Monod equation, containing terms that reflect the competitive interactions between the different substrates. Biodegradation of phenol-toluene was used to illustrate the ability of the Monod model for describing experimental data.

Keywords: Monod equation, multi-substrate; kinetics scheme; series expansion.