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2004-Ledzewicz-Schattler-Application of Control Theory in Modelling Cancer Chemotherapy

Author(s): Urszula Ledzewicz1, Heinz Schattler1

NA

Keywords: optimal control drug resistance pharmacokinetics pharmacodynamics chemotherapy

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Resource Image In this paper we discuss how to incorporate more realistic medical aspects of chemotherapy which hitherto have been neglected in the models.

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Ledzewicz, Urszula and Heinz Schattler. 2004. Application of Control Theory in Modelling Cancer Chemotherapy. Paper at ICCAS2004 August 25-27, The Shangri-La Hotel, Bangkok, THAILAND. 

See https://www.siue.edu/~uledzew/papers/pprBangkok.pdf . Accessed 27 Mar 2023.

Abstract: Phase specific models for cancer chemotherapy are described as optimal control problems. We review earlier results on scheduling optimal therapies when the controls represent the effectiveness of chemotherapeutic agents, or, equivalently, when the simplifying assumption is made that drugs act instantaneously. In this paper we discuss how to incorporate more realistic medical aspects which hitherto have been neglected in the models. They include pharmacokinetic equations (PK) which model the drug’s plasma concentration and various pharmacodynamic models (PD) which describe the effect the concentrations have on cells. We also briefly discuss the important medical issue of drug resistance.

Keywords: optimal control, mathematical models for cancer chemotherapy, pharmacokinetics, pharmacodynamics, drug resistance

 

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Author(s): Urszula Ledzewicz1, Heinz Schattler1

NA

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