Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

An iterative approach to plan combination in radiotherapy.

Y Censor1, S C Shwartz

  • 1Department of Mathematics and Computer Science, University of Haifa, Mt. Carmel, Israel.

International Journal of Bio-Medical Computing
|September 1, 1989
PubMed
Summary

This study introduces a method to combine multiple radiation therapy treatment plans, even if each plan has dose violations. The approach uses linear algebra to create an acceptable and realizable combined plan, optimizing radiation therapy.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Perturbation-resilient block-iterative projection methods with application to image reconstruction from projections.

International transactions in operational research : a journal of The International Federation of Operational Research Societies·2012
Same author

The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space.

Journal of optimization theory and applications·2011
Same author

Total variation superiorization schemes in proton computed tomography image reconstruction.

Medical physics·2010
Same author

Perturbation Resilience and Superiorization of Iterative Algorithms.

Inverse problems·2010
Same author

Transfer function restoration in 3D electron microscopy via iterative data refinement.

Physics in medicine and biology·2004
Same author

BICAV: a block-iterative parallel algorithm for sparse systems with pixel-related weighting.

IEEE transactions on medical imaging·2001

Area of Science:

  • Medical Physics
  • Radiation Oncology
  • Computational Biology

Background:

  • Radiation therapy aims to deliver precise radiation doses to tumors while sparing healthy tissues.
  • Current radiation therapy treatment planning (RTTP) may yield multiple plans, each with dose deviations in critical areas.
  • A need exists for methods to integrate these imperfect plans into a clinically viable solution.

Purpose of the Study:

  • To develop a mathematical framework for combining multiple, individually imperfect radiation therapy treatment plans.
  • To ensure the derived combined plan is both acceptable and technically realizable within clinical constraints.
  • To provide a systematic approach for evaluating plan combination feasibility and exploring alternative treatment strategies.

Main Methods:

Related Experiment Videos

  • Treatment plans are mathematically represented as vectors in Euclidean space.
  • Concepts of plan equivalence, acceptability, and realizability are formally defined.
  • A linear algebraic model is employed to combine the set of approximate treatment plans.
  • Main Results:

    • A method is presented to derive a single, optimized treatment plan from a set of plans with dose violations.
    • The model successfully generates a combined plan that meets acceptability and realizability criteria.
    • The framework allows for systematic consideration of requirement relaxation if an ideal combined plan cannot be achieved.

    Conclusions:

    • Plan combination using linear algebra offers a robust solution for complex radiation therapy treatment planning scenarios.
    • This approach enhances the ability to achieve optimal dose delivery in radiation oncology.
    • The methodology provides a systematic way to manage and improve treatment plans that individually fall short of ideal parameters.