Determination of the concentration distribution of sonically dispersive elements

1. A medical apparatus for determining a concentration distribution of sonically dispersive elements within a subject, the medical apparatus comprising:

a medical imaging system;

a vibration system;

a memory for storing machine executable instructions;

a processor for executing the machine executable instructions, wherein execution of the instructions cause the processor to:

control the vibration system to cause shear waves in the subject;

control the medical imaging system to acquire shear wave data using the medical imaging system, wherein the shear wave data is descriptive of a propagation of the shear waves within the subject for at least two frequencies;

determine a mechanical property of the subject using the shear wave data;

determine a power law relationship between the at least two frequencies and the mechanical property;

determine calibration data by modeling scattering of shear waves by the sonically dispersive elements as a function of the shear wave frequency;

determine the concentration distribution of the sonically dispersive elements within the subject using the power law relationship and the calibration data;

and displaying the concentration distribution of the sonically dispersive elements on a display,

wherein the sonically dispersive elements are blood vessels within the subject, and execution of the instructions cause the processor to determine the concentration distribution of the blood vessels within the subject using the power law relationship and the calibration data wherein the calibration data comprises an average size of blood vessels within the subject.

2. The medical apparatus of claim 1 , wherein the medical imaging system is an ultrasound system,

wherein the ultrasound system is arranged to acquire ultrasound data,

wherein the ultrasound system is arranged to determine the shear wave data by tracking speckle patterns in the ultrasound data.

3. The medical apparatus of claim 1 , wherein the medical imaging system is a magnetic resonance imaging system,

wherein the magnetic resonance imaging system is arranged to acquire magnetic resonance elastography data,

wherein the magnetic resonance imaging system is arranged to determine the shear wave data using the magnetic resonance elastography data.

4. The medical apparatus of claim 1 , wherein the vibration system comprises one of an ultrasound transducer or a mechanical actuator.

5. The medical apparatus of claim 1 , wherein the vibration system comprises a high intensity focused ultrasound system,

wherein the high intensity focused ultrasound system is operable for inducing the shear waves using sonic radiation force.

6. The medical apparatus of claim 1 , wherein the vibration system is operable to generate shear waves with a frequency of 10 Hz to 1000 Hz.

7. The medical apparatus of claim 1 , wherein the shear wave data, the mechanical property, the power law relationship, and the concentration distribution of the sonically dispersive elements have a two-dimensional spatial dependence.

8. The medical apparatus of claim 1 , wherein execution of the machine executable instructions further cause the processor to perform an operation selected from the group consisting of storing the concentration distribution of the sonically dispersive elements in the memory, sending the concentration distribution of the sonically dispersive elements to a computer system via a computer network, and combinations thereof.

9. The medical apparatus of claim 1 , wherein execution of the machine executable instructions further cause the processor to generate the calibration data by modeling the scattering of shear waves by the sonically dispersive elements as a function of shear wave frequency and sonically dispersive element size.

10. The medical apparatus of claim 1 , wherein the mechanical property selected from the group consisting of elasticity, viscosity, propagation, attenuation, and the dispersion relation.

11. The medical apparatus of claim 1 , wherein the shear wave data, the mechanical property, the power law relationship, and the concentration distribution of the sonically dispersive elements have a three-dimensional spatial dependence.

12. A non-transitory computer readable medium comprising machine executable instructions for execution by a processor controlling a medical apparatus, the medical apparatus arranged to determine a density distribution of blood vessels within a subject, wherein execution of the instructions cause the processor to:

receive shear wave data, wherein the shear wave data describes a propagation of shear waves within the subject for at least two frequencies;

determine a mechanical property of the subject using the shear wave data at each of the at least two frequencies;

determine a power law relationship between the at least two frequencies and the mechanical property; and

determine the density distribution of blood vessels within the subject using the power law relationship and calibration data comprising an average or typical size of blood vessels within the subject;

wherein the density distribution of blood vessels within the subject is used to determine information of the blood vessels to diagnosis the patient with a pathology.

13. The non-transitory computer readable medium of claim 12 , wherein the shear wave data, the mechanical property, the power law relationship, and the density distribution of blood vessels in within the subject have a three-dimensional spatial dependence.

14. The non-transitory computer readable medium of claim 12 , wherein execution of the machine executable instructions further cause the processor to perform at least one operation selected from the group consisting of:

storing the density distribution of blood vessels within the subject in a memory,

displaying the density distribution of blood vessels within the subject on a display, and

sending the density distribution of blood vessels within the subject to a computer system via a computer network.

15. A medical apparatus for determining a density distribution of blood vessels within a subject, the medical apparatus comprising:

a medical imaging system;

a vibration system;

and the non-transitory computer readable medium of claim 12 , wherein execution of the instructions further cause the processor to:

control the vibration system to cause the shear waves within the subject using the vibration system; and control the medical imaging system to acquire the shear wave data.

16. A method of determining the concentration distribution of sonically dispersive elements within a subject, wherein the method comprises the steps of:

receiving shear wave data, wherein the shear wave data describes the propagation of shear waves within the subject for at least two frequencies;

determining a mechanical property of the subject using the shear wave data at each of the at least two frequencies, the mechanical property including one of elasticity, propagation, and the dispersion relation;

determining a power law relationship between the at least two frequencies and the mechanical property; and

determining the concentration distribution of the sonically dispersive elements within the subject using the power law relationship and calibration data;

wherein the concentration distribution of the sonically dispersive elements within the subject is used to determine information of the sonically dispersive elements to diagnosis the patient with a pathology; and

wherein the sonically dispersive elements are blood vessels within the subject, and determining the concentration distribution of the blood vessels within the subject using the power law relationship and the calibration data wherein the calibration data comprises an average size of blood vessels within the subject.

17. The method of claim 16 , wherein the method further comprises the steps of:

measuring a calibration power law relationship as a function of the concentration distribution of dispersive elements; and

determining the calibration data empirically using the calibration power law relationship.

18. The method of claim 16 , wherein the shear wave data, the mechanical property, the power law relationship, and the concentration distribution of the sonically dispersive elements have a three-dimensional spatial dependence.

19. The method of claim 16 , further including at least one of:

storing the concentration distribution of the sonically dispersive elements in a memory,

displaying the concentration distribution of the sonically dispersive elements on a display, and

sending the concentration distribution of the sonically dispersive elements to a computer system via a computer network.