Convex and Dynamic Optimization with Learning for Adaptive Biologically Conformal Radiotherapy

Abstract

The research objective of this dissertation is to apply convex and dynamic optimization methods to establish a rigorous mathematical framework called Adaptive Biologically Conformal Radiotherapy (ABCRT) for spatiotemporally integrated radiotherapy planning. The standard log-linear-quadratic survival model is employed to model the tumor’s and the normal tissue’s dose-response throughout this dissertation.