Optimal Control Model for Inverse Radiation Therapy Treatment Planning

A model for the inverse radiotherapy treatment planning is studied and discussed here. The dose calculation (forward problem) is based on the Boltzmann transport equation for charged particles. The required treatment optimization (inverse problem), which is always present in the real situations, is solved by the boundary control optimization theory for variational forms. We obtain the variational equations, where finite element methodology can be directly applied. Two finite element simulations are presented to show how boundary control optimization works in practice.