1. Field of the Invention
The present invention, relates to characterization of ultrasound scatterers in soft tissue. The method eliminates the effect of unknown ultrasound absorption between the transducer and the scatterers, and produces local scattering parameters of the tissue and their frequency dependence.
2. Description of the Related Art
Ultrasound back scatter imaging is a widely used imaging modality for diagnosis of many diseases of humans and animals. However, at present the method is used mainly to visualize anatomic structures, blood velocities, movements, and shear elasticity of tissue, and there is a further need for improved characterization of the scattering tissue structures with dimensions below the resolution in the anatomic image.
Transmitting on one transducer with the direction of the beam incident on the scatterers defined by the angle θt and receiving on the same or another transducer so that the angle between the transmit and the receive beams is θtr, one can write the frequency dependency of the received power of the scattered signal from the cross over region of the transmit and receive beams (105 of
Str=K(Δβ−Δγ cos θtr)2VsH(f,θtr;θt)f4e−2a(s)f (1)
where K is an amplitude parameter, f is the ultrasound frequency, and e−2a(s)f represents acoustic absorption where a(s) is the integral of the absorption coefficient for the whole propagation distance s of the signal along transmit and the receive beams. Δβ is the relative deviation in the bulk compressibility and □ □ is the relative deviation in the mass density between the scatterer and the surrounding medium, Vs is the scatterer volume, and H(f, θtr; θt) is a function that represents that scatterer size and shape and the dependency of the scattered intensity on the direction θt of the incident beam, and the angle θtr between the incident and receiving beams, for example θtr=θ12 as illustrated in
As the scatterer dimensions approaches or becomes larger than λ (for example as λ is reduced with higher frequencies), one gets interference from waves scattered at different regions of the scatterer. Depending on the angles θt and θtr, one can get destructive interference that reduces the scattered power in certain directions, or constructive interference that increases the scattered power in other directions. The invention provides methods on how one can use this angular variation to characterize the scatterers.
We hence notice that information about the acoustic parameters of the scatterers, Δβ and Δγ, and the scatter size and shape are found in the magnitude of the scattered intensity, i.e. (Δβ−Δγ cos θtr)2VsH(f,θtr;θt), the frequency variation of the intensity, H(f,θtr;θt)f4e−2a(z)f, and the variation of the scattered intensity with the directions of the incident and receive beams (Δβ−Δγ cos θtr)2H(f,θtr;θt).
With direct back-scattering, i.e. the transmit and receive transducers are the same so that θtr=0, we can often approximate the absorption integral as
a(s)=2az (2)
where z is the distance between the transducer and the scatterer so that s=2z, and a is an absorption parameter with typical values of 0.035-0.058 Neper/cmMHz. These values correspond to an absorption attenuation of 0.3-0.5 dB/cmMHz.
From Eq.(1) we see that absorption plays an important role in the frequency dependency of the scattered intensity, except when f is so low that the frequency variation of e−2a(s)f is negligible compared to the other terms. To get some more insight into this, we do as an initial exercise assume that we have point scatterers (H(f,θtr;θt)=1), which gives the back scattered (i.e. ,θtr=0)
Sback=K(Δβ−Δγ)2Vsf4e−2a(s)f (3)
Differentiation with respect to f gives a maximum of this function, and also a maximum in the frequency variation of f4e−4azf, for
The absorption term will then have negligible effect on the frequency variation of the scattered intensity when f<<f0, say f<0.2 f0. From Eq.(4) we see that f0 is approximately inversely proportional to the depth, where we shall analyze three examples.
For intravascular imaging (IVUS) of coronary plaque we have typically z˜0.2 cm, for noninvasive imaging of carotid plaque we have typically z˜2.5 cm, and for noninvasive imaging of liver disorders we have typically z˜7 cm. With the values of α given above, we get the following frequencies for peak of Eq.(3):
IVUS CoronaryPlaque: f0=85-145 MHz
Noninvasive Carotid Plaque: f0=7-12 MHz
Noninvasive Liver scatterers: f0=2.5-4 MHz (5)
For the carotid and liver imaging, f0=7-12 MHz covers the actual frequencies used for imaging, so that in these situations the absorption has a dominating effect on the frequency variation of the scattering. Hence, in these situations one should find methods for scatterer characterization, where the effect of frequency variation of absorption on the scattered intensity is reduced.
For IVUS imaging at 20-30 MHz, the influence of absorption on the frequency variation of the scattered intensity can be neglected when the scatterer dimension approaches or gets larger than the wavelength, which is 50-80 μm for these frequencies. Hence, the frequency variation of the scattered intensity can contain some information for scatterers with dimensions approaching ˜50 μm.
As the absorption is roughly proportional to the frequency, the image depth is inversely proportional to the frequency. For imaging of the carotid vessel and similar down to 40 mm depth, one generally uses 10 MHz ultrasound. Hence, IVUS imaging of coronary artery wall down to 4 mm is hence very attractive at ˜100 MHz. According to Eq.(5) the ultrasound absorption will then play an important role in the frequency dependency of the back scattered intensity. The wave length at 100 MHz is ˜15 μm, and by reducing the effect of absorption on the frequency variation of the scattered intensity, one is able to extract information on scatterers down to ˜2 μm dimension.
The present invention provides methods for characterizing the scatterers in ultrasound imaging that strongly reduces the effect of absorption attenuation of the waves in the characterization, and makes it possible to eliminate the effect of frequency dependent absorption in the transmit path of the ultrasound pulse, and obtain frequency dependent scattering parameters from local regions in the tissue. It is furthermore possible to obtain information of scattering anisotropy in such regions, that can provide information about fiber direction in fibrous and muscular tissue, as well as degree of fibrosity. Moreover, by comparing ultrasound angular scattering with back scattering, one is able to derive anisotropic properties of the scattering cross section from a local region, that can give information of fibrous structures in the tissue.
The method provides new ultrasound parameters for characterization and contrast enhancement of tissue structures in ultrasound imaging, like tumor structures, ischemia of a myocardial wall, and plaque composition in vascular atheroma. It can be used with many arrangements of ultrasound transducers, particularly switched linear arrays.
The essence of the invention, is to use scattered signals either from multiple regions where one region is used as a reference, or multiple scattering directions, creating own reference signals from the same scattering region, so that the absorption attenuation of the ultrasound wave is eliminated from the estimated parameters, and directional scattering information can be achieved.
Other objects and features of the present invention will become apparent from the following detailed description considered in conjunction with the accompanying drawings. It is to be understood, however, that the drawings are designed solely for purposes of illustration and not as a definition of the limits of the invention, for which reference should be made to the appended claims. It should be further understood that the drawings are not necessarily drawn to scale and that, unless otherwise indicated, they are merely intended to conceptually illustrate the structures and procedures described herein.
In the drawings:
In the following we describe example embodiments of the invention with reference to the drawings.
A first method for reduction of the effect of frequency absorption according to the invention, is to use the scattered signal from reference scatterers with known frequency variation of the scattering cross section, and located in neighboring region with close to the same absorption as scatterers to be characterised. Such reference scatterers can be the erythrocytes in blood, where for characterization of arterial wall plaque one would use the signal scattered from the blood close to the plaque as reference. For other situations (like the liver) one would find the blood vessels close to the area of interest as reference, or use other reference scatterers in the neighborhood of the region of interest. In such situations one can do back scatter imaging and use the same beam directions for the transmit and receive beams. This will create a reference signal for back scatter imaging obtained from Eq.(3) as
Sref˜σrefVrefHref(f,0;θt)f4e−2a(2z)f (6)
where σref=(Δβ−Δγ)2 for the parameters of the reference scatterers with back scattere imaging, and Href represents the frequency variation of the back scatterers for the reference scatterers. For point scatterers, like erythrocytes up to f˜10 MHz, Href=1.
The backscattered signal from blood is often masked in close to stationary reverberation noise. As the blood is moving, the scatterers also move and the backscattered signal from blood can be retrieved from the stationary noise by collecting back scattered signal from several pulses in substantially the same beam direction and perform high pass filtering of the signal along the pulse number coordinate. A small variation of the beam direction between the pulses can be accepted, as for example with continuous, mechanical scanning of the beam direction.
Ultrasound contrast agent micro bubbles can also conveniently be used as reference scatterers, both in visible blood vessels, and within the capillary vessels. The reference signal from the contrast agent bubbles can be separated from the signal from surrounding tissue by several known methods, such as harmonic imaging, pulse inversion imaging, and manipulation of the scattering properties by a low frequency pulse. Other reference scalterers can be identifiable cells, like normal liver cells, or fat cells in atheroma. The back scattered intensity from the reference scatterers can be approximated as
Sscat˜σscatVscatHscat(f,0;θt)f4e−2a(2z)f (7)
σscat=(Δβ−Δγ)2 for the scatterers in the actual region of the plaque, and Vscat is the volume of these scatterers. H(f,0;θt) then includes the frequency variation of the scattered signal due to the scatterer size and shape. The following ratio will then be independent of the absorption attenuation of the ultrasound wave along the beams
A second method according to the invention, is to use angular scattering with two beams as illustrated in
S11=A12σ11H(f,0;θt1) Transmit Transd 1 and Receive Transd 1
S12=A1A2σ12H(f,θ12;θt1) Transmit Transd 1 and Receive Transd 2 (9)
σ11=(Δβ−Δγ)2 σ12=(Δβ−Δγ cos θ12)2
where A1 contains the one-way power attenuation along Beam 1 (103) from Transducer 1 (101) to the scattering region 105, A2 contains the one-way power attenuation along the Beam 2 (104) from Transducer 2 (102) to the scattering region 105. Transmitting at Transducer 2 (102) one gets scattered signal power from the overlap region (105) as
S22=A22σ22H(f,0;θt2) Transmit Transd 2 and Receive Transd 2
S21=A2A1σ21H(f,θ12;θt2) Transmit Transd 2 and Receive Transd 1 (10)
σ22=σ11=(Δβ−Δγ)2 σ21=σ12=(Δβ−Δγ cos θ12)2
Direct calculation shows that the ratio
is independent of the beam form and cumulative power absorption along Beam 1 (103) and Beam 2 (104). The frequency variation of the ration σa contains information on the scatterer size, and σa will also contain information on the degree of anisotropy of the scatterers in the overlap region 103.
For scatterers that are much smaller than the wavelength, we have H=1. For Θ12=π/2 we get
Typical values are |Δβ|˜0.3 and |Δγ|˜0.1, where Δβ and Δγ have opposite signs. This gives gives σa˜0.3. In the above situation, we can calculate
Δγ/Δβ=1−σa−1/4 (13)
As the scatterer dimensions become comparable to or larger than the wave length, the shape of the scatterers influences the scattering cross section so that the H's in Eq.(11) are different from unity. This influences the frequency variation of σa, and σa becomes dependent on the direction of the incident and the receive beams. For unidirectional fibrous scatterers, like collagene or muscle fibers, one can get large σa when the angle of Beam 1 to the fiber direction is similar to the angle of Beam 2 to the fiber direction. The value of σa then also increases above 0.3.
When Beam 1 (103) and Beam 2(104) have the same shape and crosses through tissue with similar absorption and scattering, we get A2˜A1 and we can calculate S12/S11 or S12/S22 as a measure of the tissue scattering anisotropy.
The basic method is conveniently implemented with a linear array as illustrated in
The linear array allows common lateral scanning of Beam 1 and Beam 2 that enables spatial imaging of σa, as illustrated in
Varying the direction angles of the beams, will in principle also vary all the scattering coefficients.
The received signal power as a function of receive element position is monitored at a time interval after the pulse transmission that selects a particular depth along the transmitted beam. An anisotropic scattering structure like 410 will back scatter the main energy in a particular direction indicated by the scattering diagram 411. This scattering diagram produces a variation of the power in the received signal along the element position, indicated as 412 in
Thus, while there have shown and described and pointed out fundamental novel features of the invention as applied to a preferred embodiment thereof, it will be understood that various omissions and substitutions and changes in the form and details of the devices illustrated, and in their operation, may be made by those skilled in the art without departing from the spirit of the invention. For example, it is expressly intended that all combinations of those elements and/or method steps which perform substantially the same function in substantially the same way to achieve the same results, are within the scope of the invention. Moreover, it should be recognized that structures and/or elements and/or method steps shown and/or described in connection with any disclosed form or embodiment of the invention, may be incorporated in any other disclosed or described or suggested form or embodiment as a general matter of design choice. It is the intention, therefore, to be limited only as indicated by the scope of the claims appended hereto.
This application claims priority from U.S. Provisional Patent Application Ser. No. 60/534,417 which was filed on Jan. 6, 2004.
Number | Date | Country | |
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60534417 | Jan 2004 | US |