Determining electrical properties of tissue using magnetic resonance imaging and least squared estimate
US-9069998-B2 · Jun 30, 2015 · US
US9645214B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-9645214-B2 |
| Application number | US-201314095707-A |
| Country | US |
| Kind code | B2 |
| Filing date | Dec 3, 2013 |
| Priority date | Nov 27, 2013 |
| Publication date | May 9, 2017 |
| Grant date | May 9, 2017 |
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Systems and methods for determining electrical properties using Magnetic Resonance Imaging (MRI) are provided. One method includes applying an ultra-short echo time (TE) pulse sequence in a Magnetic Resonance Imaging (MRI) system and acquiring a complex B 1 + B 1 − quantity from an object following the application of the ultra-short TE pulse sequence, where B 1 + is a complex amplitude of a transmit radio-frequency (RF) magnetic field and B 1 − is a complex amplitude of a receive RF magnetic field. The method also includes estimating, with a processor, one or more electrical properties of the object using the complex amplitudes of the transmit RF magnetic field and the receive RF magnetic field.
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What is claimed is: 1. A non-transitory computer readable storage medium for estimating electrical properties of an object using a processor, the non-transitory computer readable storage medium including instructions to command the processor to: apply, via one or more coils, an ultra-short echo time (TE) pulse sequence in a Magnetic Resonance Imaging (MRI) system; acquire, via one or more receivers, a complex B 1 + B 1 − quantity from an object following the application of the ultra-short TE pulse sequence, where B 1 + is a complex value of a transmit radio-frequency (RF) magnetic field and B 1 − is a complex value of a receive RF magnetic field; estimate one or more electrical properties including a permittivity and conductivity of the object using the complex values of the transceive field B 1 + B 1 − ; and reconstruct an image of the permittivity and conductivity of the object using the estimated one or more electrical properties, wherein the image is reconstructed using a single MRI acquisition. 2. The non-transitory computer readable storage medium of claim 1 , wherein the instructions command the processor to estimate the one or more electrical properties using the following: For permittivity ɛ r ≈ - 1 μɛ 0 ω 2 Re ( ∇ 2 B 1 + B 1 - B 1 + B 1 - ) For conductivity σ ≈ - 1 μω Im ( ∇ 2 B 1 + B 1 - B 1 + B 1 - ) where k 2 is a complex wave vector, Re is the real component of the complex B 1 + B 1 − quantity, Im is the imaginary component of the complex B 1 + B 1 − quantity, B 1 + is the complex amplitude of the transmit RF magnetic field at a given three dimensional location and B 1 − is the complex amplitude of the receive RF magnetic field. 3. The non-transitory computer readable storage medium of claim 1 , wherein the instructions command the processor to produce the ultra-short TE pulse sequence as the rotating ultra-fast imaging sequence (RUFIS). 4. The non-transitory computer readable storage medium of claim 1 , wherein the instructions command the processor to use as the ultra-short TE pulse sequence a pulse sequence having an echo time below 1 millisecond, non-selective excitations of about 12 microseconds and incremental gradient updates. 5. The non-transitory computer readable storage medium of claim 1 , wherein the instructions command the processor to determine a tissue abnormality using the image of the permittivity and conductivity reconstructed using the one or more estimated electrical properties. 6. The non-transitory computer readable storage medium of claim 1 , wherein the instructions command the processor to calculate a √{square root over (B 1 + B 1 − )} complex quantity to estimate the one or more electrical properties of the object. 7. A method for non-invasively imaging tissue properties, the method comprising: applying, with one or more coils, an ultra-short echo time (TE) pulse sequence in a Magnetic Resonance Imaging (MRI) system; acquiring, with one or more receivers, a complex B 1 + B 1 − quantity from an object following the application of the ultra-short TE pulse sequence, where B 1 + is a complex amplitude of a transmit radio-frequency (RF) magnetic field and B 1 − is a complex amplitude of a receive RF magnetic field; estimating, with a processor, one or more electrical properties including a permittivity and conductivity of the object using the complex amplitudes of the transmit RF magnetic field and the receive RF magnetic field; reconstructing an image of the permittivity and conductivity of the object using the estimated one or more electrical properties; and determining a tissue abnormality using the image of the permittivity and conductivity reconstructed using the one or more estimated electrical properties. 8. The method of claim 7 , wherein the one or more electrical properties are estimated using the following: For permittivity ɛ r ≈ - 1 μɛ 0 ω
Spatial mapping of the RF magnetic field B1 · CPC title
NMR imaging of samples with ultrashort relaxation times such as solid samples, e.g. MRI using ultrashort TE [UTE], single point imaging, constant time imaging · CPC title
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