International Case Reports Journal (ISSN: 2770-9647) | Volume 4, Issue 2 | Review Article | Open Access
Lakshmi. N. Sridhar*
Lakshmi. N. Sridhar*
Department of Chemical Engineering, University of Puerto Rico, Mayaguez, PR 00681
*Correspondence to: Lakshmi. N. Sridhar
Fulltext PDFThe complex dynamics of the interacting species in a microbial consortia needs to be fully analyzed and controlled effectively. Bifurcation analysis is a powerful mathematical tool used to deal with the nonlinear dynamics of any process. Several factors must be considered, and multiple objectives must be met simultaneously. Bifurcation analysis and Multi-objective Nonlinear Model Predictive Control (MNLMPC) calculations are performed on a dynamic model involving microbiomes. The MATLAB program MATCONT was used to perform the bifurcation analysis. The MNLMPC calculations were performed using the optimization language PYOMO in conjunction with the state-of-the-art global optimization solvers IPOPT and BARON. The bifurcation analysis revealed the existence of branch points in the model. The branch points (which cause multiple steady-state solutions from a singular point) are very beneficial because they enable the Multi-objective nonlinear model predictive control calculations to converge to the Utopia point (the best possible solution) in the model. It is proved (with computational validation) that the branch points were caused because of the existence of two distinct separable functions in one of the equations in the dynamic model. A theorem was developed to demonstrate this fact for any dynamic model.
Bifurcation; Optimization; Control; Microbiome; MSC Codes 65P30; 65P40; 37M20; 65K10; 49M41; 93C10; 93C15; 90C31; 90C48
Sridhar LN. Analysis and Control of a Microbiome Dynamic Model. Int Case Rep Jour. 2025;4(2):1 16.