Home // International Journal On Advances in Systems and Measurements, volume 11, numbers 1 and 2, 2018 // View article

Modeling and Simulation of Enzyme-Catalysed Substrate Conversion in a Microbioreactor

Authors:
Linas Petkevičius
Romas Baronas

Keywords: reaction-diffusion; Michaelis - Menten kinetics; microbioreactor; porosity; CSTR

Abstract:
Mathematical modeling and numerical simulation of non-linear mathematical model for digital simulation of an enzyme loaded porous microreactor is investigated in this paper. The model is based on a system of reaction-diffusion equations, containing a non-linear term related to the Michaelis-Menten kinetics, and involves three regions: the enzyme microreactor where the enzyme reaction as well as mass transport by diffusion take place, a diffusion limiting region (the Nernst layer), where only the mass transport by diffusion takes place, and a convective region, where the constant analyte concentration is maintained. The digital simulation was carried out using the finite difference technique. Assuming well-stirred conditions, impact of the diffusion modulus and the Biot number as well as porosity on transient effectiveness factor and yield factor has been numerically investigated. The simulation results showed that the Nernst layer must be taken into consideration when modelling micro-size bioreactors. The computational simulations showed that the yield factor and the effectiveness factors have different properties to describe system productivity.

Pages: 173 to 182

Copyright: Copyright (c) to authors, 2018. Used with permission.

Publication date: June 30, 2018

Published in: journal

ISSN: 1942-261x