Abstract
We consider an optimization problem in radiotherapy, where the goal is to maximize the biological effect on the tumor of radiation intensity profiles across multiple treatment sessions, while limiting their toxic effects on nearby healthy tissues. We utilize the standard linear-quadratic dose-response model, which yields a nonconvex quadratically constrained quadratic programming (QCQP) formulation. Since nonconvex QCQPs are in general computationally difficult, recent work on this problem has only considered stationary solutions. This restriction allows a convex reformulation, enabling efficient solution. All other generic convexification methods for nonconvex QCQPs also yield a stationary solution in our case. While stationary solutions could be sub-optimal, currently there is no efficient method for finding nonstationary solutions. We propose a model predictive control approach that can, in principle, efficiently discover nonstationary solutions. We demonstrate via numerical experiments on head-And-neck cancer that these nonstationary solutions could produce a larger biological effect on the tumor than stationary.
Original language | English (US) |
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Title of host publication | 2016 Winter Simulation Conference |
Subtitle of host publication | Simulating Complex Service Systems, WSC 2016 |
Editors | Theresa M. Roeder, Peter I. Frazier, Robert Szechtman, Enlu Zhou |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 2065-2075 |
Number of pages | 11 |
ISBN (Electronic) | 9781509044863 |
DOIs | |
State | Published - Jul 2 2016 |
Externally published | Yes |
Event | 2016 Winter Simulation Conference, WSC 2016 - Arlington, United States Duration: Dec 11 2016 → Dec 14 2016 |
Publication series
Name | Proceedings - Winter Simulation Conference |
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Volume | 0 |
ISSN (Print) | 0891-7736 |
Conference
Conference | 2016 Winter Simulation Conference, WSC 2016 |
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Country/Territory | United States |
City | Arlington |
Period | 12/11/16 → 12/14/16 |
Bibliographical note
Publisher Copyright:© 2016 IEEE.