Abstract：
:We investigate a mathematical model of tumor-immune interactions with chemotherapy, and strategies for optimally administering treatment. In this paper we analyze the dynamics of this model, characterize the optimal controls related to drug therapy, and discuss numerical results of the optimal strategies. The form of the model allows us to test and compare various optimal control strategies, including a quadratic control, a linear control, and a state-constraint. We establish the existence of the optimal control, and solve for the control in both the quadratic and linear case. In the linear control case, we show that we cannot rule out the possibility of a singular control. An interesting aspect of this paper is that we provide a graphical representation of regions on which the singular control is optimal.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
de Pillis LG,Gu W,Fister KR,Head T,Maples K,Murugan A,Neal T,Yoshida Kdoi
10.1016/j.mbs.2006.05.003subject
Has Abstractpub_date
2007-09-01 00:00:00pages
292-315issue
1eissn
0025-5564issn
1879-3134pii
S0025-5564(06)00083-6journal_volume
209pub_type
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