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 Concept Videos

Methods of Medium Optimization01:28

Methods of Medium Optimization

15
Optimizing growth media enhances microbial proliferation and maximizes product yield. Statistical experimental design methodologies provide structured and reproducible approaches, offering progressively higher levels of robustness and efficiency.The One-Factor-at-a-Time (OFAT) MethodThe One-Factor-at-a-Time (OFAT) method involves adjusting a single variable while keeping all others constant. However, it cannot detect interactions between variables, often leading to suboptimal outcomes when...
15
Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

755
The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
755
Fast Decoupled and DC Powerflow01:24

Fast Decoupled and DC Powerflow

814
The fast decoupled power flow method addresses contingencies in power system operations, such as generator outages or transmission line failures. This method provides quick power flow solutions, essential for real-time system adjustments. Fast decoupled power flow algorithms simplify the Jacobian matrix by neglecting certain elements, leading to two sets of decoupled equations:
814
Optimization Problems01:26

Optimization Problems

131
Optimization problems often involve identifying maximum or minimum values under specific constraints. A well-known example is determining the longest horizontal pipe that can be moved around a right-angled corner, where a 3-meter-wide hallway meets a 2-meter-wide hallway. This scenario, common in architectural design and industrial transport, can be understood conceptually through geometric and trigonometric reasoning.To visualize the problem, consider the pipe as a straight line that touches...
131
Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

604
To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
604
Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

1.3K
A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the...
1.3K

You might also read

Related Articles

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

Sort by
Same author

Assessment of hydrological loading displacement from GNSS and GRACE data using deep learning algorithms.

Scientific reports·2025
Same author

Prediction on a Missing Ferroelectric Butterfly Phosphorus Allotrope and Its Energy-Favorable Low-Dimensional Forms.

The journal of physical chemistry letters·2025
Same author

Phylogenetic Relationship and Characterization of the Complete Mitochondrial Genome of the Cuckoo Species <i>Clamator coromandus</i> (Aves: Cuculidae).

International journal of molecular sciences·2025
Same author

A Computational Framework Analysis of Public Attitudes Toward Male Human Papillomavirus Infection and Its Vaccination in China: Based on Weibo Data.

Healthcare (Basel, Switzerland)·2025
Same author

Harnessing near-infrared and Raman spectral sensing and artificial intelligence for real-time monitoring and precision control of bioprocess.

Bioresource technology·2025
Same author

Risk Factors, Microbiology, and Prognosis of Diabetic Foot Osteomyelitis: A Retrospective Cohort Study.

Endocrine practice : official journal of the American College of Endocrinology and the American Association of Clinical Endocrinologists·2025

Related Experiment Video

Updated: Mar 24, 2026

Quantifying X-Ray Fluorescence Data Using MAPS
14:58

Quantifying X-Ray Fluorescence Data Using MAPS

Published on: February 17, 2018

11.4K

Robust fluence map optimization via alternating direction method of multipliers with empirical parameter

Hao Gao1

  • 1School of Biomedical Engineering and Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China.

Physics in Medicine and Biology
|March 19, 2016
PubMed
Summary

A new algorithm using alternating direction method of multipliers (ADMM) efficiently optimizes beam fluence maps for intensity modulated radiation therapy (IMRT) and volumetric modulated arc therapy (VMAT). This method achieves comparable plan quality to existing techniques with improved efficiency.

More Related Videos

Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm
11:53

Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm

Published on: December 9, 2012

13.6K

Related Experiment Videos

Last Updated: Mar 24, 2026

Quantifying X-Ray Fluorescence Data Using MAPS
14:58

Quantifying X-Ray Fluorescence Data Using MAPS

Published on: February 17, 2018

11.4K
Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm
11:53

Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm

Published on: December 9, 2012

13.6K

Area of Science:

  • Medical Physics
  • Radiation Oncology
  • Computational Imaging

Background:

  • Treatment planning for Intensity Modulated Radiation Therapy (IMRT) and Volumetric Modulated Arc Therapy (VMAT) requires optimizing beam fluence maps.
  • Current methods for fluence map optimization (FMO) can be computationally intensive.

Purpose of the Study:

  • To develop an efficient and simple-to-implement algorithm for fluence map optimization (FMO).
  • To utilize the alternating direction method of multipliers (ADMM) for FMO in IMRT and VMAT.

Main Methods:

  • Developed an ADMM-based algorithm for least-square cost function FMO with non-negative fluence constraints.
  • Implemented an empirical method for optimizing ADMM parameters to enhance algorithm robustness.
  • Benchmarked the ADMM solver against an interior-point (IP) quadratic programming method using the CORT dataset.

Main Results:

  • The ADMM-based FMO solver demonstrated comparable plan quality to the IP method.
  • The ADMM solver achieved a slightly smaller total objective function value compared to the IP method.
  • The proposed ADMM solver is efficient and simple to implement for IMRT/VMAT.

Conclusions:

  • An efficient ADMM-based algorithm for FMO in IMRT and VMAT has been successfully developed.
  • Empirical parameter optimization improves the robustness of the ADMM algorithm.
  • This approach offers a viable alternative for treatment planning optimization in radiation therapy.