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

A fast algorithm for solving a linear feasibility problem with application to Intensity-Modulated Radiation Therapy.

Gabor T Herman1, Wei Chen

  • 1Department of Computer Science, The Graduate Center, City University of New York, New York, NY 10016-4309, United States.

Linear Algebra and Its Applications
|April 29, 2008
PubMed
Summary
This summary is machine-generated.

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

Fast data-driven learning of parallel MRI sampling patterns for large scale problems.

Scientific reports·2021
Same author

Monotone FISTA with Variable Acceleration for Compressed Sensing Magnetic Resonance Imaging.

IEEE transactions on computational imaging·2019
Same author

Component tree analysis of cystovirus φ6 nucleocapsid Cryo-EM single particle reconstructions.

PloS one·2018
Same author

XTEND: Extending the depth of field in cryo soft X-ray tomography.

Scientific reports·2017
Same author

Blob parameter selection for image representation.

Journal of the Optical Society of America. A, Optics, image science, and vision·2015
Same author

Data fusion in X-ray computed tomography using a superiorization approach.

The Review of scientific instruments·2014
Same journal

EXTREME VALUES OF THE FIEDLER VECTOR ON TREES.

Linear algebra and its applications·2024
Same journal

Inference on the Eigenvalues of the Normalized Precision Matrix.

Linear algebra and its applications·2024
Same journal

Spectral Bayesian network theory.

Linear algebra and its applications·2023
Same journal

Gram Determinants of Real Binary Tensors.

Linear algebra and its applications·2018
Same journal

Disentangling orthogonal matrices.

Linear algebra and its applications·2018
Same journal

The complexity of divisibility.

Linear algebra and its applications·2017
See all related articles

A new algorithm, ART3+, speeds up Intensity-Modulated Radiation Therapy (IMRT) planning by efficiently solving linear feasibility problems. This optimization helps deliver precise radiation doses, improving tumor targeting while protecting healthy organs.

Area of Science:

  • Medical Physics
  • Computational Mathematics
  • Radiation Oncology

Background:

  • Intensity-Modulated Radiation Therapy (IMRT) aims to maximize tumor dose while minimizing damage to surrounding critical organs.
  • This clinical challenge is mathematically modeled as a linear feasibility problem.
  • The existing ART3 algorithm solves these problems iteratively but can be computationally intensive.

Purpose of the Study:

  • To introduce a novel, faster algorithm, ART3+, for solving linear feasibility problems in IMRT.
  • To enhance the efficiency of IMRT treatment planning through algorithmic optimization.

Main Methods:

  • Development of the ART3+ algorithm, which optimizes constraint checking by avoiding redundant computations.
  • Mathematical experiments were designed based on realistic IMRT scenarios to evaluate performance.

Related Experiment Videos

  • Comparison of ART3+ with the established ART3 algorithm in terms of speed and solution finding.

    • Main Results:

    • ART3+ demonstrates superior performance compared to the ART3 algorithm in computational experiments.
    • The new algorithm achieves faster convergence by intelligently skipping satisfied constraints.
    • The findings are validated through simulations directly inspired by IMRT treatment planning challenges.

    Conclusions:

    • ART3+ offers a significant speed improvement for solving IMRT-related linear feasibility problems.
    • This advancement has the potential to streamline IMRT treatment planning and delivery.
    • The algorithm's efficiency makes it a promising tool for optimizing radiation therapy.