Mathematical Optimization Techniques for Moving Field Radiation Treatment Design

  • D. Sonderman
Conference paper
Part of the Health Systems Research book series (HEALTH)


The design of treatment for external beam radiotherapy is a complex process that requires a knowledge of physics, anatomy, and mathematics. For a particular case, the design of treatment reduces to developing the most appropriate dose distribution which is affected by a variety of factors including radiation attenuation and scatter, tissue inhomogeneities, and patient contour variations. The variables in the design process include the beam sizes and entry angles, energy types, wedge and block corrections, and differential weightings of the various beams. The purpose of this paper is to summarize a body of work on mathematical optimization techniques for treatment design, and to demonstrate a mathematical model for the design of treatment using moving field techniques.


Dose Distribution Treatment Design Entry Angle Linear Objective Function Integral Dose 
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Copyright information

© Springer Verlag , Berlin Heidelberg 1984

Authors and Affiliations

  • D. Sonderman
    • 1
  1. 1.Department of Industrial Engeneering and Operations ResearchUniversity of Massachusetts - AmherstUSA

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