Springer Optimization and Its Applications

Optimization in Medicine

Editors: Alves, Carlos J. S., Pardalos, Panos M., Vicente, Luis Nunes (Eds.)

  • 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
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eBook $149.00
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  • ISBN 978-0-387-73299-2
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Hardcover $199.00
price for USA
  • ISBN 978-0-387-73298-5
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  • Usually dispatched within 3 to 5 business days.
Softcover $199.00
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  • ISBN 978-1-4419-2517-6
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  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (8 chapters)

  • The influence of dose grid resolution on beam selection strategies in radiotherapy treatment design

    Acosta, Ryan (et al.)

    Pages 1-23

  • Decomposition of matrices and static multileaf collimators: a survey

    Ehrgott, Matthias (et al.)

    Pages 25-46

  • Neuro-dynamic programming for fractionated radiotherapy planning

    Deng, Geng (et al.)

    Pages 47-70

  • Randomized algorithms for mixed matching and covering in hypergraphs in 3D seed reconstruction in brachytherapy

    Fohlin, Helena (et al.)

    Pages 71-102

  • Global optimization and spatial synchronization changes prior to epileptic seizures

    Sabesan, Shivkumar (et al.)

    Pages 103-125

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-0-387-73299-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-0-387-73298-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $199.00
price for USA
  • ISBN 978-1-4419-2517-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
Series Volume
12
Copyright
2008
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-73299-2
DOI
10.1007/978-0-387-73299-2
Hardcover ISBN
978-0-387-73298-5
Softcover ISBN
978-1-4419-2517-6
Series ISSN
1931-6828
Edition Number
1
Number of Pages
X, 195
Number of Illustrations and Tables
60 b/w illustrations
Topics