Author | Swan, George W. author |
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Title | Optimization of Human Cancer Radiotherapy [electronic resource] / by George W. Swan |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1981 |
Connect to | http://dx.doi.org/10.1007/978-3-642-46441-6 |
Descript | VIII, 284 p. online resource |
1 General Introduction -- 1.1 Introduction -- 1.2 History of Cancer and its Treatment by Radiotherapy -- 1.3 Some Mathematical Models of Tumor Growth -- 1.4 Spatial Distribution of the Radiation Dose -- 2 Survival Curves from Statistical Models -- 2.1 Introduction -- 2.2 The Target Model -- 2.3 Single-hit-to-kill Model -- 2.4 Multitarget, Single-hit Survival -- 2.5 Multitarget, Multihit Survival -- 2.6 Single-target, Multihit Survival -- 2.7 Properties of In Vitro Survival Curves -- 3 A Molecular Model of cell Survival -- 3.1 Introduction -- 3.2 The Molecular Model -- 3.3 Interpretations of the Molecular Model -- 4 Kinetic Models of Biological Radiation Response -- 4.1 Introduction -- 4.2 Basic Postulates in the Dienes Model -- 4.3 Low LET Kinetic Models with no Recovery -- 4.4 Further Discussion of the Models -- 4.5 Low LET Kinetic Models with Recovery -- 4.6 Low LET and High LET Kinetic Model with No Recovery -- 4.7 Other Kinetic Schemes: Sparsely-ionizing Radiation -- 4.8 Kinetic Schemes with Age-specific Compartments in the Cell Cycle -- 4.9 Thermal Potentiation of Cell Killing -- 5 Cell Survival after Successive Radiation Fractions -- 5.1 Introduction -- 5.2 Some Results in Connection with Instantaneous Cell Kill and Exponential Tumor Growth -- 5.3 Instantaneous Cell Kill Followed by Logistic Growth of Normal Tissue -- 5.4 Cohenโs Cell Population Kinetics Programs -- 5.5 A Model of Radiation Therapy with Resistant and Sensitive Cell Populations -- 5.6 Dose Fractionation and General Survival Curves -- 6 Optimization Models in Solid Tumor Radiotherapy -- 6.1 Introduction -- 6.2 Optimal Radiotherapy of Tumor Cells Based on Cumulative Radiation Effect and a Multitarget, Single-hit Survival Function -- 6.3 Optimal Radiotherapy of Tumor Cells Based on Cumulative Radiation Effect and an Exponential-quadratic Survival Expression -- 6.4 Fractionation Scheme with a Four Level Population Tumor Model -- 6.5 A Dynamic Programming Solution to the Problem of the Determination of Optimal Treatment Schedules -- 6.6 Optimal Treatment Schedules in Fractionated Radiation Therapy for Fischerโs Tumor Model -- 6.7 Optimal Radiation Schedules with Cell Cycle Analysis -- 7 Numerical Solution of Multistage Optimal Control Problems -- 7.1 Introduction -- 7.2 Continuous Time Optimal Control -- 7.3 Optimization of Multistage Systems -- 7.4 Multi-dimensional Optimization by Gradient Methods -- 7.5 Gradient Method with Penalty Function -- 7.6 A Numerical Scheme for a Nonlinear Problem -- 7.7 The Method of Conjugate Gradients -- 7.8 Discrete Dynamic Programming -- 8 Some Optimization Criteria in Radiotherapy -- 8.1 Introduction -- 8.2 Therapeutic Policy, Strategy and Tactics -- 8.3 Optimization and Clinical Trials -- 8.4 Score Functions and Age Response Functions -- 8.5 Comparison of Models Used in Optimization Procedures -- 8.6 The Complication Probability Factor -- 9 The Optimization of External Beam Radiation Therapy -- 9.1 Introduction -- 9.2 Some Approaches for Treatment Plans -- 9.3 Linear Programming -- 9.4 Linear Programming and Radiation Treatment Planning -- 9.5 Optimization of External Beam Radiation Therapy Using Nonlinear Programming -- 9.6 Quantitative Study of Relative Radiation Effects and Isoeffect Patterns -- 10 Reconstructive Tomography -- 10.1 Introduction -- 10.2 Reconstruction Algorithm -- 10.3 Numerical Approximations for the Attenuation Coefficient -- 10.4 Cross-sectional Absorption Density Reconstruction for Treatment Planning -- 10.5 Towards the Optimization of Dose Reduction in Computerized Tomography -- 10.6 Other Imaging Technologies -- Appendix 1 -- Appendix 2 -- Appendix 3