Publication: Optimal dosing of breast cancer chemotherapy using robust MPC based on linear matrix inequalities
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Issued Date
2015-01-30
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ISSN
01258281
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2-s2.0-84922551688
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Mahidol University
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SCOPUS
Bibliographic Citation
Engineering Journal. Vol.19, No.1 (2015), 97-106
Suggested Citation
Pornchai Bumroongsri, Soorathep Kheawhom Optimal dosing of breast cancer chemotherapy using robust MPC based on linear matrix inequalities. Engineering Journal. Vol.19, No.1 (2015), 97-106. doi:10.4186/ej.2015.19.1.97 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/35912
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Title
Optimal dosing of breast cancer chemotherapy using robust MPC based on linear matrix inequalities
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Abstract
© 2015, ENGINEERING JOURNAL. All rights reserved. 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.