| Issue |
Math. Model. Nat. Phenom.
Volume 7, Number 1, 2012
Cancer modeling
|
|
|---|---|---|
| Page(s) | 261 - 278 | |
| DOI | https://doi.org/10.1051/mmnp/20127112 | |
| Published online | 25 January 2012 | |
Delay Dynamics of Cancer and Immune Cell Model
Department of Mathematics and Statistics, Murray State
University, Murray,
KY
42071,
USA
⋆
Corresponding author. E-mail: renee.fister@murraystate.edu
We investigate optimal control of a cancer-immune cell interactive model with delay in the interphase compartment. By applying the optimal control theory, we seek to minimize the cost associated with the chemotherapy drug, minimize the accumulation of cancer cells, and increase the immune cell presence. Optimality conditions and characterization of the control are provided. Numerical analyses are given to enhance the understanding of the difficulties that occur in the control of cancer.
Mathematics Subject Classification: 49J15 / 93C15
Key words: optimal control / chemotherapy drug / cancer cells
© EDP Sciences, 2012
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