Biomedical Mathematics: Promising Directions in Imaging, Therapy Planning, and Inverse Problems

Brings together 27 state-of-the-art research and review papers by leading experts and practitioners in mathematical methods in biomedical imaging, in intensity-modulated radiation therapy (IMRT) and in optimisation and inverse problems. These papers were presented at the Huangguoshu International Interdisciplinary Conference on Biomedical Mathematics—Promising Directions in Imaging, Therapy Planning, and Inverse Problems November 3–9, 2008 in China. The emphasis is on trying to discover relations and connections between these fields that will enhance progress in each of them. As this volume shows, applicable mathematical work in these fields goes hand-in-hand with real-world applications and the mutual ""technology transfers"" between them leads to further progress. The topics covered here include mathematical aspects and practical problems in current major and emerging technologies in diagnostic and therapeutic medicine and biology research. The contributed work signifies the interdisciplinary cooperation between mathematicians and scientists from medical physics, engineering, clinical medicine, and biology that leads to mathematically based better solutions of practical problems in biomedical imaging and IMRT.

Table of Contents:
Preface (Below) Contributing Authors 1. Planning and Optimizing Treatment Plans for Actively Scanned Proton Therapy Francesca Albertini, Sylvain Gaignat, Matthias Bosshardt, Antony J. Lomax 2. Identification and Characterization of Transcriptome-based Biomarkers in Arthritis and Cancer for Personalized Medicine by Translational Genomics Ashok R. Amin and Ge Wang 3. Approximate Stability Estimates in Inverse Transport Theory Guillaume Bal and Alexandre Jollivet 4. General Resolvents for Monotone Operators: Characterization and Extension Heinz H. Bauschke, Xianfu Wang, and Liangjin Yao 5. Clustering, Classification, and Contour Approximation of Data Adi Ben-Israel and Cem Iyigun 6. Multi-Slice CT: Optimizing the Use of Intravenous Contrast Material James A. Brink, M.D. 7. Statistical Iterative Reconstruction for X-Ray Computed Tomography Bruno De Man and Jeffrey A. Fessler 8. On the Estimation of Motion-Induced Temporal Dose Variations in Intensity Modulated Radiotherapy Treatment Fields Eric D. Ehler and Wolfgang A. Tomé 9. A Class of Iterative Methods: Semi-convergence, Stopping Rules, Inconsistency, and Constraining Tommy Elfving, Touraj Nikazad, and Constantin Popa 10. Radiation Therapy Planning with a Given Set of Binary Matrices Çigdem Güler and Horst W. Hamacher 11. Mathematical Theory for X-Ray Phase-Contrast Imaging with 2D Grating Interferometry Ming Jiang and Ge Wang 12. An Approach to Motion Compensation in Tomography Alexander Katsevich 13. Iterative Algorithms for the Multiple-Sets Split Feasibility Problem Genaro López,Victoria Martín-Márquez, and Hong-Kun Xu 14. X-Ray Phase Imaging with Talbot Interferometry Atsushi Momose, Wataru Yashiro, and Yoshihiro Takeda 15. Acoustic Imaging in 3D Frank Natterer 16. Optimization of Physical and Biological Dose Distributions in Hadron Therapy Uwe Oelfke, Joanne Kang, Daniel Pflugfelder, and Jan Jakob Wilkens 17. Block-Iterative and String-Averaging Projection Algorithms in Proton Computed Tomography Image Reconstruction Scott N. Penfold, Reinhard W. Schulte, Yair Censor, Vladimir Bashkirov,Scott McAllister, Keith E. Schubert, and Anatoly B. Rosenfeld 18. Advanced Contrast Modalities for X-Ray Radiology: Phase-Contrast and Dark-Field Imaging Using a Grating Interferometer Franz Pfeiffer, Martin Bech, Torben Jensen, Oliver Bunk, Tilman Donath, Christian David,Timm Weitkamp, Geraldine Le Duc, Alberto Bravin, and Peter Cloetens 19. Comparison of Some Reconstruction Schemes for Optical Tomography Martin J. Schweiger and Simon R. Arridge 20. Seminorm-Induced Oblique Projections for Sparse Nonlinear Convex Feasibility Problems Alexander Segal and Yair Censor 21. 3D Fluorescence Lifetime Imaging in Turbid Inhomogeneous Media by Using Time-Gated Data Acquisition Vadim Y. Soloviev, Cosimo D'Andrea, Gianluca Valentini, Rinaldo Cubeddu, and Simon R. Arridge 22. Towards a New Paradigm for Radiation Treatment Planning George Starkschall 23. Towards the Patient-Adaptive Approach to Risk Evaluation, Treatment Planning, and Delivery of Thoracic Radiotherapy Alexei Trofimov, Cornelia Gansemer, Adam D.Yock, Christian Vrancic, Thomas Bortfeld, and Noah C. Choi 24. Imaging Biomarkers Michael Vannier 25. Interior Tomography: Practical Applications Ge Wang, Hengyong Yu,Yangbo Ye 26. Real-Time Imaging for Radiation Therapy Guidance Rodney D.Wiersma ,Nadeem Riaz, and Lei Xing 27. Interior Tomography: Mathematical Analysis Yangbo Ye, Hengyong Yu, Ge Wang