Full Description
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.
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
