Analysis and Control of an Acetaminophen Metabolism Dynamic Model
Abstract
Lakshmi N. Sridhar
In this study, bifurcation analysis and multi-objective nonlinear model predictive control are performed on an Acetaminophen Metabolism dynamic model. 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.
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 branch and limit points. The MNLMC converged on the utopia solution. The branch points (which cause multiple steady-state solutions from a singular point) are very beneficial because they enable the multiobjective nonlinear model predictive control calculations to converge to the Utopia point (the best possible solution) in the model.
