Purpose: An approach to treatment plan optimization is presented that inputs dose--volume constraints and utilizes a feasibility search algorithm that seeks a set of beam weights so that the calculated dose distributions satisfy the dose--volume constraints. In contrast to a search for the "best" plan, this approach can quickly determine feasibility and point out the most restrictive of the predetermined constraints.
Methods and materials: The cyclic subgradient projection (CSP) algorithm was modified to incorporate dose--volume constraints in a treatment plan optimization schema. The algorithm was applied to determine beam weights for several representative three-dimensional treatment plans.
Results: Using the modified CSP algorithm, we found that either a feasible solution to the dose--volume constraint problem was found or the program determined, after a predetermined set of iterations was performed, that no feasible solution existed for the particular set of dose--volume constraints. If no feasible solution existed, we relaxed several of the dose--volume constraints and were able to achieve a feasible solution.
Conclusion: Feasibility search algorithms can be used in radiation treatment planning to generate a treatment plan that meets the dose--volume constraints established by the radiation oncologist. In the absence of a feasible solution, these algorithms can provide information to the radiation oncologist as to how the dose--volume constraints may be modified to achieve a feasible solution.