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

  • Pornchai Bumroongsri Mahidol University
  • Soorathep Kheawhom Chulalongkorn University
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

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

Soorathep Kheawhom

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

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.