Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Orthogonal Trajectories

Orthogonal Trajectories

Orthogonal trajectories describe the geometric relationship between two families of curves that intersect each other at right angles. One illustrative case involves a family of parabolas that open sideways along the x-axis. These curves share a common shape but differ by a scaling parameter, resulting in a set of curves that all pass through the origin and widen at different rates.Determining Orthogonal TrajectoriesTo identify the orthogonal trajectories for these parabolas, the first step...

Applications of Integration to Find Hydrostatic Pressure

Applications of Integration to Find Hydrostatic Pressure

Hydrostatic force is a fluid's total force at rest on a surface. For a horizontal surface submerged at a fixed depth, the pressure is constant and calculated as the product of fluid density, gravitational acceleration, and depth. In the case of a vertical dam wall submerged in water, this force is not evenly distributed due to the increasing pressure with depth. This variation arises from the cumulative weight of the water above each point. Integration is used to account for the continuous...

Sound as Pressure Waves

Sound as Pressure Waves

Sound waves, which are longitudinal waves, can be modeled as the displacement amplitude varying as a function of the spatial and temporal coordinates. As a column of the medium is displaced, its successive columns are also displaced. As the successive displacements differ relatively, a pressure difference with the surrounding pressure is created. The gauge pressure varies across the medium.
The pressure fluctuation depends on the difference in displacements between the successive points in the...

Transformation of Plane Stress

Transformation of Plane Stress

Studying stress transformation is essential in understanding how stress components within a material, like a cube under plane stress, change with rotation. This change is analyzed by considering a prismatic element within the cube. As the element rotates, the stress components acting on it—both normal and shearing stresses—change in magnitude and orientation. This change is quantified using trigonometric functions of the rotation angle, relating the forces acting on the rotated element's faces...

Basic Equation for Pressure Field

Basic Equation for Pressure Field

The basic equation for a pressure field in fluid mechanics captures the balance of forces within any segment of fluid, providing a foundational understanding of how pressure changes within fluids under various forces. Generally, two main types of forces act on any part of a fluid: surface forces and body forces. Surface forces arise from pressure differences across points within the fluid, which result in net forces that can vary depending on the local pressure gradient. Body forces, on the...

Divergence and Stokes' Theorems

Divergence and Stokes' Theorems

The divergence and Stokes' theorems are a variation of Green's theorem in a higher dimension. They are also a generalization of the fundamental theorem of calculus. The divergence theorem and Stokes' theorem are in a way similar to each other; The divergence theorem relates to the dot product of a vector, while Stokes' theorem relates to the curl of a vector. Many applications in physics and engineering make use of the divergence and Stokes' theorems, enabling us to write numerous physical laws...

You might also read

Related Articles

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

Sort by

Same author

Meta-Learning Coupled with Transfer Learning for Improved Few-Shot Classification of Cardiac MR Images.

Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference·2025

Same author

The Impact of Urbanization on Avian Communities During the Breeding Season in the Huanghuai Plain of China.

Ecology and evolution·2025

Same author

Low-Rank Adaptation of Pre-Trained Large Vision Models for Improved Lung Nodule Malignancy Classification.

IEEE open journal of engineering in medicine and biology·2025

Same author

Cardioprotective Effects of Exercise: The Role of Irisin and Exosome.

Current vascular pharmacology·2024

Same author

4Dflow-VP-Net: A deep convolutional neural network for noninvasive estimation of relative pressures in stenotic flows from 4D flow MRI.

Magnetic resonance in medicine·2023

Same author

FlowRAU-Net: Accelerated 4D Flow MRI of Aortic Valvular Flows With a Deep 2D Residual Attention Network.

IEEE transactions on bio-medical engineering·2022

Search research articles

Related Experiment Video

Updated: Jul 16, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

Integrable pressure gradients via harmonics-based orthogonal projection.

Yuehuan Wang¹, Amir A Amini

¹CVIA Laboratory, Campus Box 8086, 660 S. Euclid Ave., Washington University School of Medicine, St. Louis, MO 63110, USA.

Information Processing in Medical Imaging : Proceedings of the ... Conference

|March 16, 2007

Summary

A new non-iterative method accurately measures pressure from phase-contrast magnetic resonance (PC-MR) imaging data. This harmonics-based orthogonal projection approach is faster and more noise-resilient than iterative solutions for analyzing blood flow dynamics.

More Related Videos

Blast Quantification Using Hopkinson Pressure Bars

Blast Quantification Using Hopkinson Pressure Bars

Published on: July 5, 2016

Harmonic Nanoparticles for Regenerative Research

Harmonic Nanoparticles for Regenerative Research

Published on: May 1, 2014

Related Experiment Videos

Last Updated: Jul 16, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

Blast Quantification Using Hopkinson Pressure Bars

Blast Quantification Using Hopkinson Pressure Bars

Published on: July 5, 2016

Harmonic Nanoparticles for Regenerative Research

Harmonic Nanoparticles for Regenerative Research

Published on: May 1, 2014

Area of Science:

Medical Imaging
Fluid Dynamics
Biomedical Engineering

Background:

Iterative pressure-Poisson equation solutions are standard for phase-contrast magnetic resonance (PC-MR) pressure measurement.
These iterative methods can be computationally intensive and sensitive to noise and integration path.

Purpose of the Study:

To introduce and validate a novel non-iterative method for pressure calculation from PC-MR velocity data.
To demonstrate that the new method provides path-independent pressure measurements consistent with Navier-Stokes equations.

Main Methods:

A harmonics-based orthogonal projection technique is applied to the pressure gradient derived from the Navier-Stokes equation.
A scheme to handle discontinuities at vessel boundaries is incorporated before projection.
The method was tested using computational fluid dynamics (CFD) simulated stenotic flow and in-vitro PC-MR data.

Main Results:

The non-iterative method yielded pressure results comparable to CFD simulations and iterative PC-MR methods.
The proposed approach demonstrated increased speed and reduced sensitivity to noise compared to iterative techniques.
Path independence of pressure measurements was maintained.

Conclusions:

The harmonics-based orthogonal projection method offers a faster, more robust alternative for pressure estimation in PC-MR imaging.
This technique has potential for improved analysis of hemodynamics in conditions like stenosis.