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

Linear algebraic methods applied to intensity modulated radiation therapy.

S M Crooks1, L Xing

  • 1Department of Radiation Oncology, Stanford University Medical Center, CA 94305, USA.

Physics in Medicine and Biology
|November 1, 2001
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

Pre-sleep alpha brain entrainment by audio or visual stimulation for chronic widespread pain and sleep disturbance: A randomised crossover feasibility trial.

The journal of pain·2025
Same author

Using lightsheet microscopy to investigate the initial lymphatic network in the murine knee joints.

bioRxiv : the preprint server for biology·2025
Same author

[Neurogenic voice disorders].

Zhonghua er bi yan hou tou jing wai ke za zhi = Chinese journal of otorhinolaryngology head and neck surgery·2024
Same author

Multimodal image-guided surgical robot versus 3D-printed template for brachytherapy of malignant tumours in the skull base and deep facial region: a clinical comparative study.

International journal of oral and maxillofacial surgery·2024
Same author

MRI radiomics predicts the efficacy of EGFR-TKI in EGFR-mutant non-small-cell lung cancer with brain metastasis.

Clinical radiology·2024
Same author

Comparison of different dosages of propofol combined with its equivalent alfentanil in outpatient abortion: a prospective, double-blinded, randomized trial.

European review for medical and pharmacological sciences·2024
Same journal

Effective contrast-enhanced preprocessing for intracranial artery segmentation in digital subtraction angiography.

Physics in medicine and biology·2026
Same journal

Improving Plan Quality in Adaptive Proton Therapy Using an Interactive Dose Modification Tool.

Physics in medicine and biology·2026
Same journal

Technical Note: Real-Time MLC Control and Latency Measurement Optimization with External Verification.

Physics in medicine and biology·2026
Same journal

Fetus-Specific Hematopoietic Stem Cell Dosimetry Framework for Leukemia-Relevant Target Cells During Prenatal Development.

Physics in medicine and biology·2026
Same journal

Deep learning-based dose prediction to enhance planning efficiency in cervical brachytherapy with hybrid applicators.

Physics in medicine and biology·2026
Same journal

Corrigendum: Referenceless MR thermometry-a comparison of five methods (2017<i>Phys. Med. Biol</i>.<b>62</b>1-16).

Physics in medicine and biology·2026
See all related articles

Linear algebra methods optimize beam weights for intensity modulated radiation therapy (IMRT). This approach provides physical interpretations for beam weights and energy deposition, improving IMRT plan accuracy for cancer patients.

Area of Science:

  • Medical Physics
  • Computational Mathematics

Background:

  • Intensity Modulated Radiation Therapy (IMRT) requires precise beam weight optimization for effective cancer treatment.
  • Current IMRT planning systems may benefit from advanced mathematical methodologies.

Purpose of the Study:

  • To apply linear algebra techniques to determine optimal beam weights in IMRT.
  • To provide a mathematical framework for understanding IMRT parameters like target homogeneity and energy deposition.

Main Methods:

  • Utilizing matrix equations and quadratic forms derived from linear algebra.
  • Examining fitting methodologies within the context of linear algebra for IMRT.

Main Results:

  • Demonstrated that linear algebra can offer physical interpretations of beam weights and energy deposition ratios.

Related Experiment Videos

  • Compared the developed linear algebra-based IMRT plans with those from a commercial treatment planning system.

    • Conclusions:

    • Linear algebra provides a robust framework for IMRT beam weight optimization.
    • The proposed methodology shows potential for enhancing the accuracy and understanding of IMRT treatment planning.