Abstract
We investigate bifurcations in an iterative method for optimizing an objective function derived from the intensity modulated radiation therapy (IMRT). Through the bifurcation analysis of discrete dynamical systems for small IMRT plans, we obtained bifurcation diagrams showing suitable parameter values for the convergence of fixed points corresponding to global or local minima of the objectives, and we found that rich nonlinear phenomena including a chaotic state can occur. We also illustrate that a similar bifurcation phenomenon occurs in a large IMRT system. The results on bifurcation structure are useful for suggesting the parameter design of IMRT plans with normal operation.
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