Optimal Dosing of Breast Cancer Chemotherapy Using Robust MPC Based on Linear Matrix Inequalities

Authors

  • Pornchai Bumroongsri Mahidol University
  • Soorathep Kheawhom Chulalongkorn University

DOI:

https://doi.org/10.4186/ej.2015.19.1.97

Keywords:

Robust model predictive control, breast cancer chemotherapy, model-patient mismatch, linear matrix inequalities

Abstract

In this paper, we consider an application of robust model predictive control to optimal dosing of breast cancer chemotherapy. The model-patient mismatch is handled by computing an ellipsoidal invariant set containing the measured patient's states at each sampling time. An optimal dose of chemotherapeutic agent is obtained by solving a convex optimization problem subject to linear matrix inequalities. In the case study of simulated patients, the results show that the tumor volume can be reduced to a specified target with up to 30% model-patient mismatch. Moreover, the robust model predictive control algorithm can achieve better treatment results as compared with the nonlinear model predictive control algorithm while the on-line computational time is significantly reduced.

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Author Biographies

Pornchai Bumroongsri
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Department of Chemical Engineering, Faculty of Engineering, Mahidol University, Phuttamonthon 4 Road, Salaya, Nakhon Pathom 73170, Thailand

Soorathep Kheawhom
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Computational Process Engineering, Department of Chemical Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, Thailand

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Published In
Vol 19 No 1, Jan 30, 2015
How to Cite
[1]
P. Bumroongsri and S. Kheawhom, “Optimal Dosing of Breast Cancer Chemotherapy Using Robust MPC Based on Linear Matrix Inequalities”, Eng. J., vol. 19, no. 1, pp. 97-106, Jan. 2015.
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