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

Nuclear Magnetic Resonance (NMR): Overview01:07

Nuclear Magnetic Resonance (NMR): Overview

6.8K
Nuclear magnetic resonance (NMR) is a phenomenon exhibited by certain nuclei that can absorb characteristic radio frequency radiation under certain conditions. NMR has been extensively applied in molecular spectroscopy and medical diagnostic imaging. In both these applications, the molecule or subject under study is placed in a magnetic field and irradiated with radio frequency energy.
NMR spectroscopy generates a spectrum where the characteristic absorption frequencies of the sample are...
6.8K
Potential Due to a Magnetized Object01:24

Potential Due to a Magnetized Object

768
Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
The vector...
768
Derivatives of Inverse Trigonometric Functions01:30

Derivatives of Inverse Trigonometric Functions

67
A ship tracking an approaching aircraft relies on geometric measurements to find out the aircraft’s position relative to the observer. By measuring the slant distance to the aircraft and the angle of elevation, the horizontal and vertical components of the distance can be obtained using trigonometric relationships. This geometric approach provides a basis for analyzing how the observed angle changes as the aircraft moves closer to the ship.To examine the mathematical behavior of the angle...
67
Inverse Hyperbolic Functions and Their Derivatives01:25

Inverse Hyperbolic Functions and Their Derivatives

50
The shape of a suspension bridge cable hanging under its own weight is described by a catenary curve, which is modeled using the hyperbolic cosine function. This mathematical model accurately captures the balance between gravity and tension acting along the cable. When a particular vertical position on the cable is known, the corresponding horizontal position can be determined using the inverse hyperbolic cosine function, allowing for a detailed analysis of the cable's geometry.Inverse...
50
Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

719
Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
719
Hyperbolic and Inverse Hyperbolic Functions: Problem Solving01:30

Hyperbolic and Inverse Hyperbolic Functions: Problem Solving

104
An arched gate can be effectively modeled using a hyperbolic cosine profile because this type of function is smooth and symmetric about the vertical axis. When the arch is centered at the origin, its maximum height occurs at the center point. This symmetry ensures that any height below the crown of the arch is reached at two horizontal positions that are equal in distance from the centerline but lie on opposite sides.To determine where the gate reaches a height of five meters, the height of the...
104

You might also read

Related Articles

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

Sort by
Same author

Vibration Characteristics of Alumina-Steel Axially Functionally Graded Fluid-Conveying Pipes: A Physics-Based GITT and MLP Surrogate Study.

Materials (Basel, Switzerland)·2026
Same author

Maize Crops Face High Stomatal Uptake During High Exposure to Ozone in an Agroecosystem in the United States Corn Belt.

Global change biology·2026
Same author

Bioactive Pyranones Isolated From the Mangrove-Associated Endophytic Fungus Aspergillus sp. H6a.

Chemistry & biodiversity·2026
Same author

Ligand-Receptor Interaction Combined with Histopathology Improves Glioma Prognostic Model.

Biomedicines·2026
Same author

A three-dimensional nonlinear finite element model for coupled vibration analysis of rotary steerable systems.

Scientific reports·2026
Same author

CircRNAs in Cutaneous Squamous Cell Carcinoma: Emerging Biomarkers and Potential Therapeutic Targets.

Cell biochemistry and function·2026

Related Experiment Video

Updated: Jan 21, 2026

Functional Magnetic Resonance Spectroscopy at 7 T in the Rat Barrel Cortex During Whisker Activation
09:26

Functional Magnetic Resonance Spectroscopy at 7 T in the Rat Barrel Cortex During Whisker Activation

Published on: February 8, 2019

9.2K

Nuclear magnetic resonance T1-T2 inversion with double objective functions.

Jiangfeng Guo1, Ranhong Xie1, Lizhi Xiao1

  • 1State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum (Beijing), Beijing 102249, China; Key Laboratory of Earth Prospecting and Information Technology, China University of Petroleum (Beijing), Beijing 102249, China.

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|July 25, 2019
PubMed
Summary

This study introduces a robust nuclear magnetic resonance (NMR) T1-T2 inversion method using dual objective functions. It achieves effective relaxation time inversion even with low signal-to-noise ratio (SNR) data.

Keywords:
InversionL1 regularizationLeast-squares principleNuclear magnetic resonance (NMR)T(1)–T(2)

More Related Videos

Quantitative Magnetic Resonance Imaging of Skeletal Muscle Disease
09:30

Quantitative Magnetic Resonance Imaging of Skeletal Muscle Disease

Published on: December 18, 2016

20.1K
Exploring the Arginine Methylome by Nuclear Magnetic Resonance Spectroscopy
07:02

Exploring the Arginine Methylome by Nuclear Magnetic Resonance Spectroscopy

Published on: December 16, 2021

1.8K

Related Experiment Videos

Last Updated: Jan 21, 2026

Functional Magnetic Resonance Spectroscopy at 7 T in the Rat Barrel Cortex During Whisker Activation
09:26

Functional Magnetic Resonance Spectroscopy at 7 T in the Rat Barrel Cortex During Whisker Activation

Published on: February 8, 2019

9.2K
Quantitative Magnetic Resonance Imaging of Skeletal Muscle Disease
09:30

Quantitative Magnetic Resonance Imaging of Skeletal Muscle Disease

Published on: December 18, 2016

20.1K
Exploring the Arginine Methylome by Nuclear Magnetic Resonance Spectroscopy
07:02

Exploring the Arginine Methylome by Nuclear Magnetic Resonance Spectroscopy

Published on: December 16, 2021

1.8K

Area of Science:

  • Geophysics
  • Materials Science
  • Spectroscopy

Background:

  • Nuclear Magnetic Resonance (NMR) is crucial for material characterization.
  • Accurate inversion of relaxation times (T1 and T2) is essential for quantitative NMR analysis.
  • Existing methods face challenges with low signal-to-noise ratio (SNR) data.

Purpose of the Study:

  • To develop an effective and robust method for NMR T1-T2 inversion.
  • To improve the speed and accuracy of NMR relaxation time determination.
  • To enable reliable NMR analysis in low SNR environments.

Main Methods:

  • A novel double objective function approach for T1-T2 inversion.
  • Utilized L1 regularization and a two-step iterative shrinkage/thresholding algorithm for the first objective function.
  • Employed a conjugate gradient algorithm with an updated kernel matrix for the second objective function, alongside a Gaussian-based random SVD for speed.

Main Results:

  • Demonstrated effective NMR T1-T2 inversion using the proposed double objective function method.
  • The method proved robust in numerical and experimental tests.
  • Successful inversion was achieved even at low data SNR levels.

Conclusions:

  • The developed method offers an effective and robust solution for NMR T1-T2 inversion.
  • The approach enhances the applicability of NMR in challenging low SNR conditions.
  • This technique advances quantitative NMR analysis and material characterization.