Time-dependent Closed Loop Control of the Radiative Transfer Equations with Applications in Radiotherapy
作者： Michael Herty , Michael Hinze , Martin Frank
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摘要: Patient motion during treatment is one of the future challenges in field external beam radiotherapy. In this paper, we address problem by considering a time–dependent Boltzmann transport model for dose calculation and deriving closed-loop control laws planning problem. We formulate an optimal desired using boundary distributed derive optimality conditions. For construction use inexact variant predictive called instantaneous control. compare numerical results obtained with to those open-loop control, present simulations two spatial dimensions.
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