Differential QSM for MRI Susceptibility Mapping Accuracy

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Solution Overview

Problem

Current quantitative susceptibility mapping (QSM) techniques face challenges in accurately removing background fields and choosing reference susceptibility, leading to subjective operator bias and errors in magnetic susceptibility mapping, which affects diagnostic accuracy and reproducibility.

Innovation Solution

The method involves evaluating magnetic dipole inversion in its differential form, bypassing background field removal and incorporating Dirichlet or Neumann boundary conditions, allowing for more accurate estimation of tissue magnetic susceptibility without phase unwrapping and skull stripping errors.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If background field removal is performed using conventional QSM techniques, then magnetic susceptibility mapping is achieved, but operator bias and errors are introduced due to subjective reference susceptibility selection

Engineering Contradiction:
Improvemagnetic susceptibility mapping accuracyVSAvoidreproducibility
Core Design Contradiction:
Measurement precisionVSReliability

Solution Approach 1:

The patent extracts and removes the problematic background field removal step from the QSM process. By formulating the dipole inversion in differential form, the method directly computes susceptibility from the Laplacian of the measured field without requiring background field subtraction, thereby eliminating operator bias and reference susceptibility selection errors

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

Instead of following the conventional approach of removing background fields first and then computing susceptibility, the patent inverts the process by directly computing susceptibility from the measured field using differential operators. This reversal eliminates the need for subjective background field estimation and reference susceptibility selection

Inventive Principle:
Principle #13The other way round (Inversion)

2Measurement precision

If phase unwrapping and skull stripping are performed to remove background fields, then magnetic susceptibility mapping is achieved, but errors and artifacts are introduced

Engineering Contradiction:
Improvemagnetic susceptibility mapping accuracyVSAvoidbackground field artifacts
Core Design Contradiction:
Measurement precisionVSObject-affected harmful factors

Solution Approach 1:

The patent extracts and eliminates the harmful background field artifacts by using differential operators that inherently suppress constant and linear field variations. The Laplacian operation automatically removes background fields without requiring phase unwrapping or skull stripping, thereby eliminating the associated errors and artifacts

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

The patent converts the problematic background fields into a benefit by using the differential form of the dipole equation. The Laplacian operator naturally suppresses background fields while enhancing local susceptibility variations, turning the previously harmful background fields into a feature that highlights tissue susceptibility differences

Inventive Principle:
Principle #22Blessing in disguise (Convert harm into benefit)

3Productivity

If conventional QSM techniques are used with background field removal, then susceptibility mapping is achieved, but accuracy is reduced due to subjective operator bias

Engineering Contradiction:
Improvesusceptibility mapping efficiencyVSAvoidsusceptibility mapping accuracy
Core Design Contradiction:
ProductivityVSMeasurement precision

Solution Approach 1:

The patent implements self-service by using the differential form of the dipole equation that automatically computes susceptibility without requiring operator intervention for background field removal or reference susceptibility selection. The method is self-correcting and objective, eliminating operator bias while maintaining high productivity

Inventive Principle:
Principle #25Self-service

Solution Approach 2:

The patent changes the mathematical parameters of the QSM process by using the differential form of the dipole equation instead of the conventional integral form. This parameter change transforms the process from one requiring subjective operator decisions to an objective, automated computation that maintains both efficiency and accuracy

Inventive Principle:
Principle #35Parameter changes

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This approach improves the accuracy and reproducibility of magnetic susceptibility mapping by reducing background field artifacts and operator bias, resulting in higher quality susceptibility images for improved diagnostic and experimental analyses.

Implementation Method 1

quantitative susceptibility mapping (QSM) in magnetic resonance imaging (MRI) has received increasing clinical andscientific interest

Methodology Applied
Scientific EffectMagnetic resonance:

Implementation Method 2

determining a magnetic field based on the MR data, determining a relationship between the magnetic field at a given location to the magnetic susceptibility at that location

Methodology Applied
Scientific EffectMagnetic field: Magnetic Field

Data Source

PatentUS10145928B2Differential approach to quantitative susceptibility mapping without background field removal
Publication Date: 2018.12.04 MEDIMAGEMETRIC LLC
  • US10145928B2 patent drawing
  • US10145928B2 patent drawing
  • US10145928B2 patent drawing

AI summary

An example method for mapping tissue magnetic susceptibility includes acquiring magnetic resonance (MR) data, where the MR data correspond to a subject, determining a magnetic field based on the MR data, determining a relationship between the magnetic field at a given location to the magnetic susceptibility at that location, and performing a convolution operation on the relationship between the magnetic field at the given location to the magnetic susceptibility at that location to obtain a noise property. The method also includes estimating a magnetic susceptibility distribution of the subject based, at least in part, on the noise property, and generating one or more images of the subject based on the estimated susceptibility distribution of the subject.