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Optimization in Medicine

Optimization in Medicine

Hardcover

Series: Springer Optimization and Its Applications, Book 12

Medical ReferenceGeneral Mathematics

ISBN10: 0387732985
ISBN13: 9780387732985
Publisher: Springer
Published: Feb 1 2008
Pages: 195
Weight: 1.04
Height: 0.66 Width: 6.07 Depth: 9.54
Language: English

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.

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Alves, Carlos J. S.

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General Mathematics