Optimal Scheduling of Radiotherapy and Angiogenic Inhibitors: A Mathematical Approach to the Antiangiogenic Hypothesis

Posted: 30 Jan 2002

See all articles by Lawrence M. Wein

Lawrence M. Wein

Stanford Graduate School of Business

Ayla Ergun

Massachusetts Institute of Technology (MIT)

Kevin Camphausen

National Institutes of Health (NIH) - Radiation Oncology Branch

Date Written: December 2001

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 endothelial cell volume. It thereafter maintains this 20:1 ratio via a continuous dose rate that is intensified over time. In our optimal combination regimen, the antiangiogenic treatment again maintains a constant tumor-to-endothelial cell ratio, but is administered in a dose-intensified manner only during the latter portion of the radiation fractionation schedule.

Keywords: angiogenesis, mathematical model, cancer treatments

Suggested Citation

Wein, Lawrence M. and Ergun, Ayla and Camphausen, Kevin, Optimal Scheduling of Radiotherapy and Angiogenic Inhibitors: A Mathematical Approach to the Antiangiogenic Hypothesis (December 2001). Available at SSRN: https://ssrn.com/abstract=295072

Lawrence M. Wein (Contact Author)

Stanford Graduate School of Business

655 Knight Way
Stanford, CA 94305-5015
United States

Ayla Ergun

Massachusetts Institute of Technology (MIT) ( email )

77 Massachusetts Avenue
E40-149
Cambridge, MA 02139-4307
United States
617-225-1332 (Phone)
617-258-7579 (Fax)

Kevin Camphausen

National Institutes of Health (NIH) - Radiation Oncology Branch ( email )

Bethesda, MD 20892 20892
United States

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