Nonlinear Tracking Control for Reducing Cancerous Tumor Volume Using Three Different Cell Kill Models

In this research, an input-state feedback linearizationmethod is developed for manipulation of the drug usage andaccordingly the cancerous tumor volume in chemotherapy.Three nonlinear mathematical cell-kill models includinglog-kill hypothesis, Norton-Simon hypothesis and Emaxhypothesis are considered for the process. By Using anonlinear control algorithm and with implementing each ofthe three mentioned nonlinear cell kill models, the tumorvolume is minimized through two prescribed time intervalsof chemotherapy (30 days and 15 days) prescribed by thepotential cancer physician with a reasonable and constantusage of drugs to minimize side effects and costs of theprocess.

Keywords:

Cancer chemotherapy , Nonlinear trackingcontrol , Feedback linearization , Input-state linearization