Introduction
摘要
Chapter 1 presents a general introduction to biomathematical problems that may be needed in treatment outcomes analysis and optimization in radiotherapy for hypoxic tumors with the emphasis on hypoxia imaging, cell survival models and mechanistic models of tumor control probability. We consider biomathematical modeling and optimization of cancer radiotherapy assuming that the tumor response to radiotherapy is defined by the following three broad radiobiological categories: 1) intrinsic cellular radiosensitivity, 2) cellular proliferative potential, and 3) tumor oxygen status. The intrinsic cellular radiosensitivity, cellular proliferative potential, and tumor oxygen status vary between patients and markedly contribute to inter-patient variation of the tumor control probability (TCP) and treatment outcomes.