| Abstract: |
| We apply optimal control theory to a
model of interactions between cancer cells, CD4+ T cells,
cytokines and host cells to devise best immunotherapies for
treating cancer. The CD4+ T cells cannot kill cancer cells
directly but use the cytokines produced to suppress tumor growth.
The immunotherapy implemented is modeled as a control agent and it
can be either transferring of CD4+ T cells, cytokines or both.
We establish existence and uniqueness of the optimal control. The
optimal treatment strategy is then solved numerically under
different scenarios. Our numerical results provide best protocols
in terms of strengths and timing of the treatments. |
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