Biotechnology and Bioengineering · 1971 · 18 citations · 2 references
Life SciencesBiochemistryMicrobiologyBioprocess EngineeringMetabolismMicrobial MetabolismBioprocess KineticsBioprocess ModelingEnzyme KineticsFermentation KineticsKinetic ModelingMichaelis-menten KineticsBiomass Formation KineticsBioreactor Kinetic ModelingDiffusional EffectsFermentation Kinetics AnalysisKinetic Data AnalysisMichaelis-menten AnalysisMicrobial Fermentation ProcessesReaction - Diffusion Kinetics
Abstract A combination of Fickian diffusion and Michaelis–Menten kinetics is proposed to describe the rate of diffusion‐coupled biochemical reactions. This postulate leads to a nonlinear mathematical model which is solved by a perturbation technique. The result is a relation which permits identification of zones of relative diffusion or reaction influence. The conversion of cellulose to protein by Myrothecium verrucaria is a heterogeneous process that is well‐suited to this type of analysis, although the data requirements are severe.
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