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Optimal scheduling of radiotherapy and angiogenic inhibitors

Bulletin of Mathematical Biology volume 65, pages 407–424 (2003)Cite this article

Abstract

We incorporate a previously validated mathematical model of a vascularized tumor into an optimal control problem to determine the temporal scheduling of radiotherapy and angiogenic inhibitors that maximizes the control of a primary tumor. Our results reveal that optimal antiangiogenic monotherapy gives a large initial injection to attain a 20: 1 ratio of tumor cell volume to supporting vasculature volume. It thereafter maintains this 20: 1 ratio via a continuous dose rate that is intensified over time. The optimal radiation monotherapy schedule is characterized by amodest dose intensification over time. The best performance is achieved by our optimal combination regimen, where the antiangiogenic treatment again maintains a constant tumor-to-vasculature ratio, but is administered in a dose-intensified manner only during the latter portion of the radiation fractionation schedule.

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Authors and Affiliations

  1. Operations Research Center, MIT, Cambridge, MA, 02139, USA

    Ayla Ergun

  2. Radiation Oncology Branch, National Cancer Institute, NIH, Bethesda, MD, 20892, USA

    Kevin Camphausen

  3. Graduate School of Business, Stanford University, Stanford, CA, 94305, USA

    Lawrence M. Wein

Authors
  1. Ayla Ergun
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  2. Kevin Camphausen
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  3. Lawrence M. Wein
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Correspondence to Lawrence M. Wein.

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Ergun, A., Camphausen, K. & Wein, L.M. Optimal scheduling of radiotherapy and angiogenic inhibitors. Bull. Math. Biol. 65, 407–424 (2003). https://doi.org/10.1016/S0092-8240(03)00006-5

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  • DOI: https://doi.org/10.1016/S0092-8240(03)00006-5

Keywords

  • Dose Rate
  • Optimal Schedule
  • Antiangiogenic Therapy
  • Early Tissue
  • Target Ratio