Optimal Scheduling of Radiotherapy and Angiogenic Inhibitors: A Mathematical Approach to the Antiangiogenic Hypothesis
Posted: 30 Jan 2002
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
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