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

Approximate Integration01:24

Approximate Integration

58
In many practical and theoretical contexts, the exact value of a definite integral may be inaccessible. This limitation typically arises when the antiderivative of a function is either unknown or cannot be expressed in a closed mathematical form. Alternatively, it can occur when a function is defined not by a formula but by a finite set of empirical data points, such as those collected during experiments. In these cases, approximate integration techniques provide a valuable solution.One of the...
58
Linearization and Approximation01:26

Linearization and Approximation

71
Linearization is a mathematical technique used to approximate complex, nonlinear functions with simpler linear models in the vicinity of a chosen reference point. The method is based on the idea that, although a function may be difficult to evaluate exactly, its behavior near a specific input value can often be closely approximated by the tangent line at that point. This approach is particularly useful when small deviations from a known value are involved.Consider the square root function, for...
71
Application of Linearization and Approximation01:29

Application of Linearization and Approximation

103
A drone flying through complex terrain often relies on more than one sensing method to estimate small changes in altitude. Along with direct measurements, air pressure provides a useful indirect indicator of vertical movement. Atmospheric pressure decreases as altitude increases, and this relationship is commonly described using an exponential model. Although accurate, converting pressure measurements into altitude values requires calculations that are too complex to perform repeatedly during...
103
Accuracy, limits, and approximation01:28

Accuracy, limits, and approximation

1.3K
Accuracy, limits, and approximations are common in many fields, especially in engineering calculations. These concepts are imperative for ensuring that a given value is as close as possible to its true value.
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
1.3K
Distance Corrections01:15

Distance Corrections

299
To achieve precise distance measurements, especially in surveying and construction, certain corrections must be applied to account for potential sources of error like the standardization errors, temperature variations, and slope adjustments.Standardization error emerges when measurement equipment undergoes changes, such as wear, repairs, or weather impacts. To address this, surveyors compare the equipment’s readings to a standard. This process identifies any deviation that might lead to...
299
Power Factor Correction01:20

Power Factor Correction

549
The power transmission to a factory involves the transfer of apparent power, a combination of active and reactive power. The power factor measures how effectively electrical power is converted into useful work output. The ratio of the real power (KW) that does the work to the apparent power (KVA) supplied to the circuit.
549

You might also read

Related Articles

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

Sort by
Same author

Plain language summary of publication of how long people with relapsed multiple myeloma lived after treatment in the IKEMA study: Isatuximab plus carfilzomib and dexamethasone versus carfilzomib and dexamethasone.

Future oncology (London, England)·2026
Same author

Imaging Near Spinal Fixation Hardware at 0.55 T Compared With 3 T.

Journal of magnetic resonance imaging : JMRI·2026
Same author

Head-to-head Comparison of Multimodal Imaging for Prostate Cancer Detection and Local Staging with Whole-mount Histopathology Reference.

European urology oncology·2026
Same author

Methods for Uncertainty Quantification in Dictionary Matching to Advance Reliability of Quantitative MRI.

Magnetic resonance in medicine·2026
Same author

Toward universal dose prediction: A multi-scale, multi-objective framework for sequential boost radiotherapy.

Medical physics·2026
Same author

Active Electromagnetic Interference Suppression for MRI and Proton Resonance Frequency Shift Thermometry During MRI-Guided Microwave Ablation.

Magnetic resonance in medicine·2026
Same journal

A Comparison of Tissue Property Values Estimated Using Conventional Cardiac MRF and MT-Cardiac MRF.

Magnetic resonance in medicine·2026
Same journal

Dependence of the Extra-Cellular Diffusion Coefficient on the Fractions of Neurites and Cell Bodies in Gray Matter.

Magnetic resonance in medicine·2026
Same journal

Triple-Pulse <sup>23</sup>Na MRI Sequence (TriNa) for Simultaneous Acquisition of Spin-Density-Weighted and Fluid-Attenuated Images.

Magnetic resonance in medicine·2026
Same journal

Evaluation of Phantom Doping Materials in Quantitative Susceptibility Mapping.

Magnetic resonance in medicine·2026
Same journal

Design of an 8-Channel Transmit 32-Channel Receive 11.7T Head Coil and Evaluation of SNR Gains.

Magnetic resonance in medicine·2026
Same journal

The Potential for Absolute Temperature Imaging Based on Brain Metabolites Using an FID-Shifting Approach in Gradient Echo Planar Spectroscopic Imaging (GREPSI).

Magnetic resonance in medicine·2026
See all related articles

Related Experiment Video

Updated: Feb 10, 2026

Use of MRI-ultrasound Fusion to Achieve Targeted Prostate Biopsy
09:11

Use of MRI-ultrasound Fusion to Achieve Targeted Prostate Biopsy

Published on: April 9, 2019

22.5K

Prostate DCE-MRI with correction using an approximated analytical approach.

Xinran Zhong1,2, Thomas Martin1,2, Holden H Wu1,2

  • 1Department of Radiological Sciences, David Geffen School of Medicine, University of California, Los Angeles, California.

Magnetic Resonance in Medicine
|May 18, 2018
PubMed
Summary
This summary is machine-generated.

A new analytical method accurately corrects for R2* variations in prostate MRI, improving pharmacokinetic analysis. This practical approach offers a simple solution for enhanced accuracy in dynamic contrast-enhanced MRI.

Keywords:
DCE-MRIpharmacokinetic modelingprostatequantitative analysis

More Related Videos

Focal Laser Ablation of Prostate Cancer: An Office Procedure
11:07

Focal Laser Ablation of Prostate Cancer: An Office Procedure

Published on: March 30, 2021

8.5K
A Cognitive Fusion-guided Prostate Biopsy Using Multiparametric Magnetic Resonance Imaging and Transrectal Ultrasound
06:08

A Cognitive Fusion-guided Prostate Biopsy Using Multiparametric Magnetic Resonance Imaging and Transrectal Ultrasound

Published on: March 21, 2025

1.5K

Related Experiment Videos

Last Updated: Feb 10, 2026

Use of MRI-ultrasound Fusion to Achieve Targeted Prostate Biopsy
09:11

Use of MRI-ultrasound Fusion to Achieve Targeted Prostate Biopsy

Published on: April 9, 2019

22.5K
Focal Laser Ablation of Prostate Cancer: An Office Procedure
11:07

Focal Laser Ablation of Prostate Cancer: An Office Procedure

Published on: March 30, 2021

8.5K
A Cognitive Fusion-guided Prostate Biopsy Using Multiparametric Magnetic Resonance Imaging and Transrectal Ultrasound
06:08

A Cognitive Fusion-guided Prostate Biopsy Using Multiparametric Magnetic Resonance Imaging and Transrectal Ultrasound

Published on: March 21, 2025

1.5K

Area of Science:

  • Medical Imaging
  • Radiology
  • Biophysics

Background:

  • Dynamic Contrast-Enhanced (DCE) MRI is crucial for prostate cancer assessment.
  • Accurate pharmacokinetic (PK) parameter modeling in DCE-MRI is essential for reliable analysis.
  • R2* variations can significantly impact the accuracy of PK parameter estimation.

Purpose of the Study:

  • To develop and validate a practical R2* correction method for prostate DCE-MRI.
  • To improve the accuracy of pharmacokinetic parameter calculations in prostate DCE-MRI analysis.

Main Methods:

  • A novel analytical R2* correction method was developed using Taylor series approximation.
  • The method requires only R2* maps and uncorrected PK parameters as input.
  • Validation was performed using a prostate digital reference object (DRO) and 82 in vivo DCE-MRI cases.

Main Results:

  • The analytical method achieved less than 0.4% residual error compared to ground truth in simulations.
  • In vivo results showed a mean percentage error of 0.1% for Ktrans and ve compared to numerical correction.
  • The proposed method demonstrated significantly lower error than reference numerical correction, especially at lower signal-to-noise ratios.

Conclusions:

  • The approximated analytical R2* correction method provides accurate and reliable results for prostate DCE-MRI.
  • The method is practical due to its simple implementation and minimal input requirements.
  • This technique offers a valuable tool for enhancing the diagnostic accuracy of prostate DCE-MRI.