Modelling the enzyme catalysed substrate conversion in a microbioreactor acting in continuous flow mode

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 nonlinear 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.

Multi-objective optimization and decision visualization of batch stirred tank reactor based on spherical catalyst particles

“…1(a)). Assuming a uniform distribution of the microreactors, a unit cell can be considered [3,4]. An enzyme-loaded microreactor (MR) occupies the center of the unit cell.…”

“…For the optimization, without losing generality, the volumetric density N V of microreators placed in the container (N V = N/V ) can be used instead of the total number N = 3V /(4πr 3 2 ) of microreactors. Thus, the amount of enzyme used in N V microreactors (used per volume unit of the container) equals 3 2 ) = e 0 r 3 0 /r 3 2 . Accordingly, the amount of the substrate in the bulk per volume unit of the container can be expressed as follows:…”

“…The appropriate intervals of the decision variables for the optimal design problem are given in Table 1. Assuming the highly stirred reactor, the thickness h 1 of the diffusion shell can be assumed as a constant parameter [3,4]. The radius r 2 of the unit cell can be expressed via (independent) decision variables r 0 , h 2 , and the parameter h 1 as follows:…”

“…A main challenge of the three-objective (13) optimization problem is the computational complexity of the objective function ϕ 1 (x), the computation of which includes the numerical integration of the transient nonlinear governing equations [4]. Because of the nonlinearity of the initial boundary value problem (3)-(12), the bioreactor action was simulated numerically using the finite difference method with explicit scheme [3,4]. Although explicit difference schemes have the strict stability limitations, these schemes have a convenient algorithm of the calculation and are simple for programming [8].…”

Simulative Minimization of Mass Transfer Limitations Within Hydrogel-Based 3D-Printed Enzyme Carriers

“…Diffusional limitations for catalytic systems were already described by a number of authors for microfluidic systems or for theoretical descriptions of scale-up strategies (AbuReesh, 1997;Jodlowski et al, 2017;Baronas et al, 2018).…”