Spectral-Spatial Pulse Design for MRI Metabolic Imaging

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Solution Overview

Problem

Current MRI techniques face challenges in achieving rapid volumetric imaging of dynamic nuclear polarization (DNP) signals, particularly in selectively exciting a single resonance of the carbon spectrum while suppressing the injected hyperpolarized compound, due to limitations in spectral and spatial selectivity, leading to low signal-to-noise ratio and coarse spatial resolution.

Innovation Solution

A spectral-spatial excitation pulse with a weighted kz dependent spectral envelope is designed to selectively excite a single line of the carbon spectrum, using a zig-zag k-space trajectory and compensating for staggered sampling, enabling efficient echo-planar readout trajectories for rapid imaging, and achieving significant stopband suppression.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If conventional spectral-spatial pulses are used for selective excitation, then spectral selectivity is achieved, but spatial resolution deteriorates due to coarse sampling in k-space

Engineering Contradiction:
Improvespectral selectivityVSAvoidspatial resolution
Core Design Contradiction:
Measurement precisionVSManufacturing precision

Solution Approach 1:

The k-space trajectory is segmented into multiple zig-zag passes that collectively cover the required spectral and spatial frequency ranges. Each pass excites a specific portion of k-space, and the composite effect of all passes achieves both high spectral selectivity and fine spatial resolution that cannot be obtained with a single conventional pulse

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The invention transitions from conventional two-dimensional k-space sampling to a three-dimensional excitation approach by incorporating the temporal dimension of the pulse train. The zig-zag trajectory samples k-space along multiple dimensions simultaneously, enabling resolution enhancement beyond what is achievable with traditional single-pulse methods

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

2Productivity

If rapid imaging is implemented to capture dynamic metabolic processes, then temporal resolution is improved, but signal-to-noise ratio deteriorates due to reduced averaging

Engineering Contradiction:
Improveimaging speedVSAvoidsignal-to-noise ratio
Core Design Contradiction:
ProductivityVSReliability

Solution Approach 1:

The zig-zag k-space trajectory enables continuous data acquisition through multiple overlapping passes without requiring repetition of the entire k-space coverage. This continuous sampling approach maintains high temporal resolution while accumulating sufficient signal through the extended trajectory, thereby preserving signal-to-noise ratio during rapid dynamic imaging

Inventive Principle:
Principle #20Continuity of useful action

Solution Approach 2:

The pulse sequence is designed with preliminary optimization of the zig-zag trajectory parameters before actual imaging. The trajectory geometry and timing are pre-calculated to maximize signal efficiency and minimize noise accumulation, enabling rapid imaging with maintained signal quality

Inventive Principle:
Principle #10Preliminary action

3Manufacturing precision

If stopband suppression is enhanced to eliminate artifacts from hyperpolarized compound, then spectral purity is improved, but pulse complexity increases

Engineering Contradiction:
Improvespectral purityVSAvoidpulse sequence complexity
Core Design Contradiction:
Manufacturing precisionVSDevice complexity

Solution Approach 1:

The spectral envelope is designed with locally optimized weighting functions that provide strong suppression specifically in the stopband regions corresponding to thehyperpolarized compound frequencies, while maintaining excitation in the passband regions. This localized spectral shaping achieves high spectral purity without requiring uniform complexity across the entire pulse spectrum

Inventive Principle:
Principle #3Local quality

Solution Approach 2:

The pulse sequence utilizes variable parameters including gradient amplitude, duration, and timing that are optimized to achieve stopband suppression. By adjusting these parameters within the zig-zag trajectory framework, the system achieves artifact suppression without fundamentally changing the pulse structure, thereby limiting the increase in complexity

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 allows for high-frame-rate imaging of metabolic products, such as lactate, with improved spatial and spectral resolution, enabling the differentiation of metabolic dynamics in various tissues, including cancerous tissues, with enhanced signal-to-noise ratio and reduced artifacts.

Implementation Method 1

nuclear magnetic moments are excited at specific spin precession frequencies which are proportional to the local magnetic field

Methodology Applied
Scientific EffectNuclear magnetic resonance: Resonance

Implementation Method 2

nuclear magnetic moments are excited at specific spin precession frequencies

Methodology Applied
Scientific EffectSpin precession: Precession

Implementation Method 3

By manipulating the magnetic fields, an array of signals is provided representing different regions of the volume

Methodology Applied
Scientific EffectMagnetic field gradient: Magnetic Field

Implementation Method 4

each nuclear spin responds to four different effects: precession about the main magnetic field, nutation about an axis perpendicular to the main field, and both transverse and longitudinal relaxation

Methodology Applied
Scientific EffectTransverse relaxation:

Implementation Method 5

each nuclear spin responds to four different effects: precession about the main magnetic field, nutation about an axis perpendicular to the main field, and both transverse and longitudinal relaxation

Methodology Applied
Scientific EffectLongitudinal relaxation:

Data Source

PatentUS8035381B2Optimized spectral-spatial pulse
Publication Date: 2011.10.11 THE BOARD OF TRUSTEES OF THE LELAND STANFORD JUNIOR UNIV
  • US8035381B2 patent drawing
  • US8035381B2 patent drawing
  • US8035381B2 patent drawing

AI summary

A computer implemented method for designing a spectral-spatial pulse for exciting at least one passband and minimally exciting at least one stopband is provided. A uniform shaped spectral envelope is generated. For a plurality of kz≠0, kz dependent weights for a spectral envelope that approximate a kz=0 envelope and provides the at least one passband and the at least one stopband for each of the plurality of kz≠0 is generated.