SDRE optimal control of drug administration in cancer treatment

In this study, we apply State Dependent Riccati Equation (SDRE) based optimal control technique to a nonlinear tumor growth model. The model consists of three biological cells which are normal tissue, tumor and immune cells. The effect of chemotherapy treatment is also included in the model. Chemoth...

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Bibliographic Details
Published in:Elektrik : Turkish journal of electrical engineering & computer sciences 2010, Vol.18 (5), p.715-729
Main Authors: BANKS, Stephen Paul, SALAMCI, Metin Uymaz, İTİK, Mehmet
Format: Article
Language:English
Subjects:
Cancer
Control Engineering
drug
İlaçlar
Kanser
Kontrol Mühendisliği
Oncology
Onkoloji
Optimal control
Optimal denetim
Riccati denklemi
Riccati equation
TGF
tumor
Tümör
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Summary:In this study, we apply State Dependent Riccati Equation (SDRE) based optimal control technique to a nonlinear tumor growth model. The model consists of three biological cells which are normal tissue, tumor and immune cells. The effect of chemotherapy treatment is also included in the model. Chemotherapy administration is considered as a control input to the nonlinear cancer dynamics and the amount of administered drug is determined by using SDRE optimal control. The optimal control is applied to the model in order not only to drive the tumor cells to the healthy equilibrium state but also to minimize the amount of the drug used. In SDRE control design, we investigate the effects of different weighting matrices in the cost function to be minimized. Simulation results show that selection of state dependent weighting matrices can yield positive outcomes such as less drug administration or control of tumor growth in a shorter time period.
ISSN:1300-0632
DOI:10.3906/elk-1001-411