Method for principal frequency magnetic resonance elastography inversion

1. A method for calculating a mechanical property of a material using a magnetic resonance imaging (MRI) system, the steps of the method comprising:

a) acquiring with the MRI system, magnetic resonance elastography (MRE) data from a subject containing the material;

b) reconstructing images from the MRE data acquired in step a);

c) producing a complex wave image from the images reconstructed in step b);

d) producing a spatial frequency spectrum from the complex wave image produced in step c);

e) calculating a principal frequency of the spatial frequency spectrum produced in step d); and

f) calculating a mechanical property of the material using the complex wave image produced in step c) and the principal frequency calculated in step e).

2. The method as recited in claim 1 in which step f) includes estimating an excitation frequency from the complex wave image and using the excitation frequency and principal frequency calculated in step e) to calculate the mechanical property.

3. The method as recited in claim 1 in which step e) includes calculating a weighted average of magnitude values of the spatial frequency spectrum produced in step d).

4. The method as recited in claim 3 in which calculating the weighted average includes weighting spatial frequency values by a square of a magnitude of the spatial frequency spectrum at the corresponding spatial frequency value.

5. The method as recited in claim 3 in which step e) includes thresholding the spatial frequency spectrum prior to calculating the weighted average.

6. The method as recited in claim 3 in which at least some of the images reconstructed in step b) are indicative of low amplitude shear waves.

7. The method as recited in claim 1 in which step c) includes temporally filtering the reconstructed images pixel-wise.

8. The method as recited in claim 1 in which step d) includes spatially Fourier transforming the complex wave image.

9. A magnetic resonance imaging (MRI) system, comprising:

a magnet system configured to generate a polarizing magnetic field about at least a portion of a subject positioned in the MRI system;

a plurality of gradient coils configured to establish a magnetic field gradient about at least a portion of the subject positioned in the MRI system;

a radio frequency (RF) coil configured to apply an RF field to at least a portion of the subject and to receive magnetic resonance (MR) signals therefrom;

a computer system programmed to:

direct the plurality of gradient coils and the RF coil to perform a pulse sequence that acquires motion-encoded MR signals from the subject;

reconstruct images from the acquired motion-encoded MR signals;

produce a spatial frequency spectrum from the reconstructed images;

calculate a principal frequency of the produced spatial frequency spectrum; and

calculate a mechanical property of a tissue in the subject using the reconstructed wave images and the calculated principal frequency.

10. The magnetic resonance imaging system as recited in claim 9 in which the computer system is further configured to:

produce a complex wave image by temporally filtering the reconstructed images; and

produce the spatial frequency spectrum by transforming the complex wave image.

11. The magnetic resonance imaging system as recited in claim 10 in which the computer system is further configured to:

estimate an excitation frequency from the complex wave image; and

calculate the mechanical property of the tissue using the estimated excitation frequency and the calculated principal frequency.

12. The magnetic resonance imaging system as recited in claim 9 in which the computer system is further configured to threshold the spatial frequency spectrum and to calculate the principal frequency from the thresholded spatial frequency spectrum.

13. The magnetic resonance imaging system as recited in claim 9 in which the computer system is configured to calculate the principal frequency by calculating a weighted average of spatial frequency values in the spatial frequency spectrum.

14. The magnetic resonance imaging system as recited in claim 13 in which the computer system is configured to calculate the weighted average by weighting each spatial frequency value by a square of a magnitude of the spatial frequency spectrum at the corresponding spatial frequency value.

15. The magnetic resonance imaging system as recited in claim 14 in which the computer system is configured to:

threshold the spatial frequency spectrum; and

calculate the weighted average using those spatial frequency values in the thresholded spatial frequency spectrum.