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Optimal Control and Parametric Sensitivity Analysis in Cancer Chemotherapy
Author(s) -
Sternberg Kati,
Büskens Christof
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310532
Subject(s) - parametric statistics , sensitivity (control systems) , optimal control , cancer chemotherapy , dependency (uml) , population , control theory (sociology) , mathematics , parametric model , cancer , control (management) , medicine , mathematical optimization , computer science , statistics , engineering , software engineering , environmental health , electronic engineering , artificial intelligence
The chemotherapeutic treatment of a tumor is based on the growth‐retarding effect of the given medicinal drug dose to a cancer cell population. Preserving the health of the patient this can be formulated as an optimal control problem. We use a modified model of Ledzewicz and Schättler and present the optimal solution calculated numerically. Especially we attend a parametric sensitivity analysis, which indicates the dependency of the optimal solution with respect to disturbances in model parameters. In detail we examine the parametric sensitivity in case of disturbances in the cell‐cycle parameters.