© 2008

Optimization in Medicine

  • Carlos J. S. Alves
  • Panos M. Pardalos
  • Luis Nunes Vicente


  • 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


Part of the Springer Optimization and Its Applications book series (SOIA, volume 12)

Table of contents

  1. Front Matter
    Pages I-X
  2. Ryan Acosta, Matthias Ehrgott, Allen Holder, Daniel Nevin, Josh Reese, Bill Salter
    Pages 1-23
  3. Matthias Ehrgott, Horst W. Hamacher, Marc Nußbaum
    Pages 25-46
  4. Geng Deng, Michael C. Ferris
    Pages 47-70
  5. Shivkumar Sabesan, Levi Good, Niranjan Chakravarthy, Kostas Tsakalis, Panos M. Pardalos, Leon Iasemidis
    Pages 103-125
  6. Tomi Huttunen, Jari P. Kaipio, Matti Malinen
    Pages 169-195

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.


SOIA algorithms classification global optimization optimization therapy ultrasound

Editors and affiliations

  • Carlos J. S. Alves
    • 1
  • Panos M. Pardalos
    • 2
  • Luis Nunes Vicente
    • 3
  1. 1.InstitutoSuperiorTécnicoLisboaPortugal
  2. 2.Department of Industrialand Systems EngineeringUniversity of FloridaGainesvilleUSA
  3. 3.Departamento de Matemática Faculdade de Ciências e TecnologiaUniversidade de CoimbraCoimbraPortugal

Bibliographic information

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