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

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Newton’s Method01:30

Newton’s Method

Newton’s Method is a powerful iterative technique for approximating the roots of real-valued, differentiable functions, particularly when analytical solutions are impractical. This approach is widely used in scientific computing, engineering, and finance, where equations may be too complex for traditional algebraic methods to handle. The method relies on an iterative process that refines an initial estimate using the function’s derivative to approach the true solution progressively.
Application of Integration: Problem Solving01:30

Application of Integration: Problem Solving

The process of breathing involves the periodic intake and expulsion of air, known as the respiratory cycle, which typically lasts about five seconds. Modeling the volume of air inhaled into the lungs as a function of time provides insight into both the dynamics and efficiency of pulmonary ventilation. This volume is determined by integrating the airflow rate over time, which captures the cumulative effect of air entering the lungs.Sinusoidal Model of AirflowAirflow during respiration is not...
Fast Decoupled and DC Powerflow01:24

Fast Decoupled and DC Powerflow

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:

You might also read

Related Articles

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

Sort by
Same author

4D CT angiography and computational biomechanics dataset for structural integrity assessment of abdominal aortic aneurysms.

Data in brief·2026
Same author

Towards Personalised Assessment of Abdominal Aortic Aneurysm Structural Integrity.

International journal for numerical methods in biomedical engineering·2026
Same author

4D-CTA image and geometry dataset for kinematic analysis of abdominal aortic aneurysms.

Data in brief·2025
Same author

Corrigendum to "Kinematics of abdominal aortic Aneurysms" [J. Biomech. 179 (2025) 112484].

Journal of biomechanics·2025
Same author

Kinematics of abdominal aortic Aneurysms.

Journal of biomechanics·2024
Same author

Personalised <i>in silico</i> biomechanical modelling towards the optimisation of high dose-rate brachytherapy planning and treatment against prostate cancer.

Frontiers in physiology·2024
Same journal

Dynamic Simulation of Male Bladder Outlet Obstruction: Flow Characteristics and Novel Quantitative Indicators.

International journal for numerical methods in biomedical engineering·2026
Same journal

Path Planning of Flexible Needle Based on Improved Particle Swarm Optimization Algorithm.

International journal for numerical methods in biomedical engineering·2026
Same journal

A Fully Automated Pipeline for Vertebral Structural Assessment From Medical Images. Application Under Metastatic Conditions.

International journal for numerical methods in biomedical engineering·2026
Same journal

Evaluation of Degradable Mg-Alloy Implants for Femoral Neck Fractures: Subject-Specific Finite Element Analysis Integrated With Bone Remodelling.

International journal for numerical methods in biomedical engineering·2026
Same journal

Patient-Specific In Silico Prediction of Outcomes of Partial Continuous-Flow LVAD Treatment in Peripartum Cardiomyopathy.

International journal for numerical methods in biomedical engineering·2026
Same journal

The Impact of Rotational Speed and Descending Aortic Flow on Hemodynamics of a Modular Intra-Aortic Entrainment Pump: A Numerical Study.

International journal for numerical methods in biomedical engineering·2026
See all related articles

Related Experiment Video

Updated: Jun 1, 2026

Automated Midline Shift and Intracranial Pressure Estimation based on Brain CT Images
14:08

Automated Midline Shift and Intracranial Pressure Estimation based on Brain CT Images

Published on: April 13, 2013

An adaptive Dynamic Relaxation method for solving nonlinear finite element problems. Application to brain shift

Grand Roman Joldes, Adam Wittek, Karol Miller

    International Journal for Numerical Methods in Biomedical Engineering
    |June 8, 2011
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces an adaptive Dynamic Relaxation method for faster, more accurate steady-state solutions in continuum mechanics. The adaptive approach optimizes parameters during iteration, enhancing computational efficiency for complex simulations.

    More Related Videos

    A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials
    11:28

    A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials

    Published on: May 18, 2015

    Concurrent EEG and Functional MRI Recording and Integration Analysis for Dynamic Cortical Activity Imaging
    11:28

    Concurrent EEG and Functional MRI Recording and Integration Analysis for Dynamic Cortical Activity Imaging

    Published on: June 30, 2018

    Related Experiment Videos

    Last Updated: Jun 1, 2026

    Automated Midline Shift and Intracranial Pressure Estimation based on Brain CT Images
    14:08

    Automated Midline Shift and Intracranial Pressure Estimation based on Brain CT Images

    Published on: April 13, 2013

    A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials
    11:28

    A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials

    Published on: May 18, 2015

    Concurrent EEG and Functional MRI Recording and Integration Analysis for Dynamic Cortical Activity Imaging
    11:28

    Concurrent EEG and Functional MRI Recording and Integration Analysis for Dynamic Cortical Activity Imaging

    Published on: June 30, 2018

    Area of Science:

    • Continuum Mechanics
    • Computational Science
    • Medical Simulation

    Background:

    • Dynamic Relaxation (DR) is an explicit method for solving discretized continuum mechanics problems.
    • Accurate parameter estimation is crucial for DR convergence, posing challenges in nonlinear scenarios.
    • Existing methods struggle with the computational demands of complex, real-time simulations.

    Purpose of the Study:

    • To develop a completely adaptive Dynamic Relaxation (DR) method.
    • To improve convergence speed and accuracy for nonlinear continuum mechanics problems.
    • To enable efficient computation of intra-operative organ deformations.

    Main Methods:

    • Proposed a novel adaptive Dynamic Relaxation (DR) algorithm.
    • Parameters are updated iteratively, converging to optimal values.
    • Applied the method to non-linear finite element models with large deformations, nonlinear materials, and contact.

    Main Results:

    • Demonstrated accuracy and computational efficiency of the adaptive DR method.
    • Successfully computed intra-operative organ deformations.
    • The method shows significant potential for Graphics Processing Unit (GPU) implementation.

    Conclusions:

    • The adaptive DR method offers a robust solution for complex continuum mechanics problems.
    • It significantly improves computational efficiency and accuracy in simulations.
    • The approach is well-suited for real-time applications and GPU acceleration.