The Minimization of the Quadratic Mean of an Integral Dose

The Minimization of the Quadratic Mean of an Integral Dose

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Article ID: iaor20132833
Volume: 157
Issue: 2
Start Page Number: 513
End Page Number: 519
Publication Date: May 2013
Journal: Journal of Optimization Theory and Applications
Authors:
Abstract:

In this work, we define the optimal dose as a combination of the projections on orthogonal axes of the absorbed dose and an integer multiple of the integral dose. Here, we show that such optimal dose minimizes the mean square of the total absorbed dose subject to certain conditions of integration. We prove that there is a unique minimizer.

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