Overview
- Presents state-of-the-art research in optimization in medicine
- Discusses a variety of medical topics and mathematical techniques
- Numerous applications include radiotherapy treatment design, ultrasound surgery, and epileptic seizures
- Has no directly competitive literature
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 12)
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Table of contents (8 chapters)
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Front Matter
Keywords
About this book
Optimization has become an essential tool in addressing the limitation of resources and need for better decision-making in the medical field. Both continuous and discrete mathematical techniques are playing an increasingly important role in understanding several fundamental problems in medicine.
This volume presents a wide range of medical applications that can utilize mathematical computing. Examples include using an algorithm for considering the seed reconstruction problem in brachytherapy and using optimization-classification models to assist in the early prediction, diagnosis and detection of diseases. Discrete optimization techniques and measures derived from the theory of nonlinear dynamics, with analysis of multi-electrode electroencephalographic (EEG) data, assist in predicting impending epileptic seizures. Mathematics in medicine can also be found in recent cancer research. Sophisticated mathematical models and optimization algorithms have been used to generate treatment plans for radionuclide implant and external beam radiation therapy. Optimization techniques have also been used to automate the planning process in Gamma Knife treatment, as well as to address a variety of medical image registration problems.
This work grew out of a workshop on optimization which was held during the 2005 CIM Thematic Term on Optimization in Coimbra, Portugal. It provides an overview of the state-of-the-art in optimization in medicine and will serve as an excellent reference for researchers in the medical computing community and for those working in applied mathematics and optimization.
Editors and Affiliations
Bibliographic Information
Book Title: Optimization in Medicine
Editors: Carlos J. S. Alves, Panos M. Pardalos, Luis Nunes Vicente
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-0-387-73299-2
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2008
Hardcover ISBN: 978-0-387-73298-5Published: 01 February 2008
Softcover ISBN: 978-1-4419-2517-6Published: 24 November 2010
eBook ISBN: 978-0-387-73299-2Published: 20 December 2007
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: X, 195
Number of Illustrations: 60 b/w illustrations
Topics: Medicine/Public Health, general, Optimization, Calculus of Variations and Optimal Control; Optimization, Imaging / Radiology