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Optimization in medicine. Most papers based on the presentation at the workshop on optimization in medicine, Coimbra, Portugal, July 20–22, 2005. (English) Zbl 1137.92016
Springer Optimization and Its Applications 12. New York, NY: Springer (ISBN 978-0-387-73298-5/hbk). x, 195 p. (2008).
[The articles of this volume will not be indexed individually.]
Publisher’s description: 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 implants and external beam radiation therapy. Optimization techniques have also been used to automate the planning process in the 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.

MSC:
92C50 Medical applications (general)
92-08 Computational methods for problems pertaining to biology
90C90 Applications of mathematical programming
92-06 Proceedings, conferences, collections, etc. pertaining to biology
00B25 Proceedings of conferences of miscellaneous specific interest
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