| Abstract [eng] |
In this thesis, the mathematical and computational models of bioreactors based on microbioreactors are considered. The aim of this thesis is set - to properly simulate and optimize microbioreactor-based bioreactor systems by proposing original mathematical and computational models. Generalizations of mathematical models are proposed by taking into account the additional layers of the microbioreactor and the initial and boundary conditions, as well as a new mathematical model of the microreactor with carbon-nanotubes is formulated and proposed. The proposed model was validated with experimental data. By analyzing the model approximations, an algorithm based on the homotopy perturbation method to find approximate analytical solutions for previously unexamined models was proposed, and the accuracy of the approximations in two-layer biocatalysis systems was evaluated. A numerical model for multi-task optimization is also developed, which allows searching for optimal bioreactor configurations. Large-scale system simulation of proposed open and closed bioreactor systems has been performed. |
