Handbook of Optimization in Medicine

Preface

Contents

List of Contributors

1 Optimizing Organ Allocation and Acceptance

1.1 Introduction

1.2 Kidney Allocation System

1.3 Liver Allocation System

1.4 Optimization from the Patient’s Perspective

1.5 Optimization from the Societal Perspective

1.6 Conclusions

Acknowledgments

References

2 Can We Do Better? Optimization Models for Breast Cancer Screening

2.1 Introduction

2.2 Optimization Models for Mammography Screening

2.3 Models for Scheduling Screening Examinations

2.4 Optimization Models for Breast Cancer Screening (and Treatment)

2.5 Areas for Future Research

Acknowledgments

References

3 Optimization Models and Computational Approaches for Three-dimensional Conformal Radiation Treatment Planning

3.1 Introduction

3.2 Three-dimensional Conformal Radiation Therapy

3.3 Formulating the Optimization Problems

3.4 Solution Quality in Clinical Perspective

3.5 Solution Time Reduction Techniques

3.6 Case Study

3.7 Discussion

References

4 Continuous Optimization of Beamlet Intensities for Intensity Modulated Photon and Proton Radiotherapy

4.1 Introduction

4.2 Preliminaries

4.3 Optimization Models for IMRT Treatment Planning

4.4 Sensitivity Analysis

4.5 Intensity Modulated Proton Therapy

4.6 Example Case

Acknowledgments

References

5 Multicriteria Optimization in Intensity Modulated Radiotherapy Planning

5.1 The IMRT Treatment Planning Problem

5.2 Optimization as a Virtual Engineering Process

5.3 Multicriteria Optimization

5.4 The Numerical Realization

5.5 Navigating the Database

5.6 Clinical Examples

5.7 Research Topics

Acknowledgment

References

6 Algorithms for Sequencing Multileaf Collimators

6.1 Introduction

6.2 Algorithms for SMLC

6.3 Algorithms for DMLC

6.4 Field Splitting Without Feathering

6.5 Minimizing the Number of Segments

6.6 Conclusion

Acknowledgment

References

7 Image Registration and Segmentation Based on Energy Minimization

7.1 Image Registration

7.2 Edge Detection and Image Segmentation

Acknowledgment

References

8 Optimization Techniques for Data Representations with Biomedical Applications

8.1 Introduction

8.2 Independent Component Analysis

8.3 Other Methods for ICA

8.4 Sparse Component Analysis and Blind Source Separation Using Sparseness

8.5 Applications

8.6 Conclusion

Acknowledgments

References

9 Algorithms for Genomics Analysis

9.1 Introduction

9.2 Phylogenetic Analysis

9.3 Multiple Sequence Alignment

9.4 Novel Graph-Theoretical–Based Genomic Models

9.5 Summary

Acknowledgment

References

10 Optimization and Data Mining in Epilepsy Research: A Review and Prospective

10.1 Introduction

10.2 Background: Epilepsy and Seizure Prediction

10.3 Mining EEG Time Series: Chaos in Brain

10.4 Optimization and Data Mining in Epilepsy Research

10.5 Concluding Remarks and Prospective Issues

Acknowledgments

References

11 Mathematical Programming Approaches for the Analysis of Microarray Data

11.1 Microarrays and the New Biology

11.2 Issues in Microarray Data Analysis

11.3 Analysis of Gene Expression Data: Tissue Clustering and Classification

11.4 Inferring Regulatory Networks

11.5 A Final Comment

11.6 Research Challenges

Acknowledgments

References

12 Classification and Disease Prediction via Mathematical Programming

12.1 Introduction

12.2 Mathematical Programming Approaches

12.3 MIP-Based Multigroup Classification Models and Applications to Medicine and Biology

12.4 Progress and Challenges

12.5 Other Methods

12.6 Summary and Conclusion

Acknowledgment

References

Index