Dynamic Studies of Glioblastoma Multiforme
Abstract
Glioblastoma multiforme (GBM) is a devastating brain cancer which is fatal.The treatment The dynamics of GBM is very complex and the mathematical models involving GBM are very nonlinear.Multiobjective nonlinear model predictive control in conjunction with bifurcation analysis on the truncated and full models without and with various protein complexes 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 limit points.The limit were beneficial because they allowed the multiobjective nonlinear model predictive control calculations to converge to the Utopia point which is the best possible solution.Additionally, for the MNLMPC calculations,it is shown that both the truncated and full models give identical answers.