Magnetic resonance imaging apparatus and gradient magnetic field waveform estimation method

1. A method for estimating an output gradient magnetic field waveform in a magnetic resonance imaging apparatus, the gradient magnetic field waveform estimating method comprising:

inputting at least two kinds of input values to a gradient magnetic field generation section and measuring output values of an output gradient magnetic field waveform that the gradient magnetic field generation section generates using the input values, in a state in which a control parameter of the gradient magnetic field generation section is disabled so that an operation is not performed by the gradient magnetic field generation section;

calculating a response function of the gradient magnetic field generation section, which includes effects of a plurality of factors affecting the output gradient magnetic field waveform, using the at least two kinds of input values and measured output values corresponding to the input values; and

calculating an estimated value of an output gradient magnetic field waveform with respect to an input value of a desired gradient magnetic field using the response function.

2. A method for estimating an output gradient magnetic field waveform generated by a gradient magnetic field generation section of a magnetic resonance imaging apparatus, the gradient magnetic field waveform estimating method comprising:

inputting an input value to the gradient magnetic field generation section and measuring an output value of an output gradient magnetic field waveform that the gradient magnetic field generation section generates using the input value, in a state in which a control parameter of the gradient magnetic field generation section is disabled so that an operation is not performed by the gradient magnetic field generation section;

setting a response function model for each of a plurality of factors affecting the output gradient magnetic field waveform;

optimizing each response function model using the input value and the output value; and

calculating an estimated value of an output gradient magnetic field waveform with respect to an input value of a desired gradient magnetic field using the optimized response function model.

3. The gradient magnetic field waveform estimating method according to claim 2 ,

wherein the plurality of factors includes an eddy current generated by a gradient magnetic field and an output of a control circuit provided in the gradient magnetic field generation section.

4. The gradient magnetic field waveform estimating method according to claim 3 ,

wherein the measured value includes a first measured value when the control circuit of the gradient magnetic field generation section is disabled and a second measured value when the control circuit is enabled, and

in the step of optimizing the response function model, a response function of an output gradient magnetic field waveform due to the control circuit is calculated using the first and second measured values.

5. A magnetic resonance imaging apparatus, comprising:

an imaging unit including a static magnetic field generation section, a gradient magnetic field generation section, a high frequency magnetic field generation section, and a high frequency magnetic field detection section;

a control unit that controls an operation of the imaging unit on the basis of an imaging sequence, and inputs an input waveform to the gradient magnetic field generation section, and measures an output waveform that the gradient magnetic field generation section generates in response to the input waveform, in a state in which a control parameter of the gradient magnetic field generation section is disabled so that an operation is not performed by the gradient magnetic field generation section; and

a calculation unit that performs calculation including image reconstruction using a nuclear magnetic resonance signal detected by the high frequency magnetic field detection section, wherein the calculation unit includes:

a response function calculation section that calculates, using the input waveform and the output waveform, a response function that is a sum of response functions of a plurality of elements affecting the output waveform;

a gradient magnetic field calculation section that calculates an output waveform from an input waveform of a gradient magnetic field pulse, which is set in the imaging sequence, using the response function calculated by the response function calculation section; and

a compensation section that modifies a high frequency magnetic field pulse, which is set in the imaging sequence, and/or modifies k-space coordinates of a nuclear magnetic resonance signal, which is obtained in the imaging sequence, using a calculated value of the output waveform calculated by the gradient magnetic field calculation section.

6. The magnetic resonance imaging apparatus according to claim 5 ,

wherein the response function calculation section calculates a response function for each of the plurality of elements that changes the output waveform, and

the gradient magnetic field calculation section calculates an output waveform using a response function that is a sum of response functions of the plurality of elements.

7. The magnetic resonance imaging apparatus according to claim 6 ,

wherein the response function calculation section includes a model setting section that sets a response function model for each of the elements and a model optimization section that optimizes the response function model so that a difference between a calculated value of an output waveform calculated by the response function model set by the model setting section and a measured value of the output waveform is minimized, and

the response function model optimized by the model optimization section is set as a response function of each element.

8. The magnetic resonance imaging apparatus according to claim 5 ,

wherein the response function calculation section uses a plurality of input values as the input waveform, and calculates a response function directly from a relationship between each input value and a measured value of an output waveform using a combination of the plurality of input values and measured values corresponding to the input values.

9. The magnetic resonance imaging apparatus according to claim 8 ,

wherein the response function calculation section includes a filter section that filters a response function after calculation.

10. The magnetic resonance imaging apparatus according to claim 9 ,

wherein the filter section includes a Wiener filter and a median filter.

11. The magnetic resonance imaging apparatus according to claim 5 ,

wherein the gradient magnetic field generation section includes a control circuit that controls an input waveform based on an output waveform of a generated gradient magnetic field, and

the plurality of elements that changes the output waveform includes distortion of the output waveform due to control of the control circuit.

12. The magnetic resonance imaging apparatus according to claim 5 ,

wherein the response function calculation section calculates a response function for each of a plurality of gradient magnetic fields having different positions with respect to a center of a static magnetic field generated by the static magnetic field generation section.

13. The magnetic resonance imaging apparatus according to claim 5 ,

wherein a gradient magnetic field pulse calculated by the gradient magnetic field calculation section is a slice selection gradient magnetic field in the imaging sequence, and

the compensation section includes a high frequency pulse correction section that corrects a high frequency pulse, which is set in the imaging sequence, on the basis of a calculated value of the slice selection gradient magnetic field.

14. The magnetic resonance imaging apparatus according to claim 13 ,

wherein the high frequency pulse correction section includes an irradiation time calculation section that calculates a change in irradiation time of high frequency pulses before and after correction, and changes an input value of the gradient magnetic field calculation section when the change in irradiation time calculated by the irradiation time calculation section exceeds a predetermined increase rate and corrects the high frequency pulse using an estimated value of an output waveform estimated from the changed input value by the gradient magnetic field calculation section.

15. The magnetic resonance imaging apparatus according to claim 5 ,

wherein a gradient magnetic field pulse calculated by the gradient magnetic field calculation section is a readout gradient magnetic field in the imaging sequence, and

the compensation section includes a k-space coordinate correction section that corrects k-space coordinates, in which the nuclear magnetic resonance signal obtained in the imaging sequence is disposed, on the basis of a calculated value of the readout gradient magnetic field.

16. The magnetic resonance imaging apparatus according to claim 15 ,

wherein the k-space coordinate correction section includes a k-space size calculation section that calculates a change in size of k-space coordinates before and after correction, and changes an input value of the gradient magnetic field calculation section when the change in size of k-space coordinates calculated by the k-space size calculation section exceeds a predetermined reduction rate and corrects the k-space coordinates using a recalculated value of an output waveform calculated from the changed input value by the gradient magnetic field calculation section.