Modelling the enzyme catalysed substrate conversion in a microbioreactor acting in continuous flow mode
Articles
Romas Baronas
Vilnius University
Juozas Kulys
Vilnius University
Linas Petkevičius
Vilnius University
Published 2018-06-15
https://doi.org/10.15388/NA.2018.3.9
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Keywords

modelling
diffusion-reaction
microreactor
enzyme kinetics
effectiveness factor

How to Cite

Baronas R., Kulys J. and Petkevičius L. (2018) “Modelling the enzyme catalysed substrate conversion in a microbioreactor acting in continuous flow mode”, Nonlinear Analysis: Modelling and Control, 23(3), pp. 437-456. doi: 10.15388/NA.2018.3.9.

Abstract

A model for the numerical simulation of the action of microbioreactor acting in the continuous flow mode was developed. The microbioreactor system was mathematically modelled by a two-compartment model based on transient reaction-diffusion equations containing a non-linear term related to the Michaelis–Menten kinetics of the enzymatic reaction. The effectiveness of microbioreactor and the process duration were numerically and partially analytically analysed at transition and steady-state conditions in a wide range of model parameters. The computational simulation was carried out using the finite difference technique. The performed calculations showed nonlinear effects of the internal and external diffusion limitations on the effectiveness and process duration.

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