| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4632205 | Applied Mathematics and Computation | 2010 | 8 Pages |
Abstract
We consider a mathematical model for the control of the growth of tumor cells which is formulated as a problem of optimal control theory. It is concerned with chemotherapeutic treatment of cancer and aims at the minimization of the size of the tumor at the end of a certain time interval of treatment with a limited amount of drugs. The treatment is controlled by the dosis of drugs that is administered per time unit for which also a limit is prescribed. It is shown that optimal controls are of bang–bang type and can be chosen at the upper limit, if the total amount of drugs is large enough.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Werner Krabs, Stefan Pickl,