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This paper presents a review of the ways in which optimal control theory interacts with cancer chemotherapy. There are three broad areas of investigation. One involves miscellaneous growth kinetic models, the second involves cell cycle models, and the third is a classification of "other models." Both normal and tumor cell populations are included in a(More)
  • George Swan
  • IMA journal of mathematics applied in medicine…
  • 1987
The biologically based model due to Cox and co-workers is used in this study of a cancer chemotherapy problem involving the continuous delivery of an anticancer drug. A performance criterion is introduced to measure the effectiveness of therapy while penalizing excessive usage of drug. Optimal control theory is used to obtain information on the nature of(More)
  • George Swan
  • IMA journal of mathematics applied in medicine…
  • 1985
There is an increasing interest in the use of therapeutic devices which deliver chemotherapeutic agents in a continuous manner. In this paper the Gompertz model of cancer growth with a loss term depending on a cancer chemotherapeutic agent is applied to human multiple myeloma. Three different performance criteria are introduced which measure the influence(More)
  • George Swan
  • IMA journal of mathematics applied in medicine…
  • 1988
There are an increasing number of clinical papers dealing with the continuous delivery of an anticancer drug to patients. In this paper, two basic theoretical models are presented of cancer growth under the action of a continuously delivered anticancer drug. The therapeutic objective is to obtain the nature of the control agent that can drive the tumour(More)