Kinetic model for microbial uptake of insoluble solid-state substrate

Abstract

A kinetic model for anaerobic digestion of insoluble solid‐state substrates was developed. Rate equations for cell growth and substrate consumption were derived based on the assumption that the microorganisms assimilate the substrate mainly at the point of contact where they grow. The model emphasizes effects of substrate particle size, organic loading, and cell concentration on the rates of cell growth and substrate utilization. Batch digestion of a stearic acid emulsion with a mean particle size of 2.0 μm and a biological sludge was conducted at 30 and 37°C to verify the proposed model. Agreement between the experimental and calculated results indicated the validity of the model for describing the microbial degradation of insoluble solid‐state substrates. Further examinationof the model revealed that with low cell substrate affinity or at low cell concentration, it coincided with a Michaelis–Menten type kinetics in which the effect of particle size was taken into consideration.