An optimal control approach to cancer treatment under immunological activity
Tom 38 / 2011
Applicationes Mathematicae 38 (2011), 17-31
MSC: 49K15, 92C50.
DOI: 10.4064/am38-1-2
Streszczenie
Mathematical models for cancer treatment that include immunological activity are considered as an optimal control problem with an objective that is motivated by a separatrix of the uncontrolled system. For various growth models on the cancer cells the existence and optimality of singular controls is investigated. For a Gompertzian growth function a synthesis of controls that move the state into the region of attraction of a benign equilibrium point is developed.
