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Cancer chemotherapy: Optimal control using the Verhulst-Pearl equation

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Abstract

General (deterministic) ordinary differential equations for the representation of cancer growth are presented when the growth is perturbed due to the action of a chemotherapeutic agent. The Verhulst-Pearl equation is introduced as a particular example of a growth equation applicable to human tumors. An optimal control problem with general performance criterion and state equation is formulated and shown to possess a novel feedback control relationship. This relationship is used in two continuous drug delivery problems involving the Verhulst-Pearl equation.

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    G. W. Swan

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Swan, G.W. Cancer chemotherapy: Optimal control using the Verhulst-Pearl equation. Bltn Mathcal Biology 48, 381–404 (1986). https://doi.org/10.1007/BF02459688

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  • DOI: https://doi.org/10.1007/BF02459688

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