VIVO CALIBRATION OF DOPPLER FLOWMETRY
20220400946 · 2022-12-22
Inventors
Cpc classification
International classification
Abstract
A method for determining a calibration factor in Doppler flowmetry velocity measurements in the living eye includes imaging the eye with Doppler flowmetry and processing data to obtain blood velocity, volume, and flow maps using Doppler flowmetry formulas that provide velocity as a mean frequency expressed in Hz, and volume and flow in arbitrary units. A selected blood vessel is probed with Doppler OCT to measure the absolute velocity of blood at that location expressed in mm/s to determine a calibration factor used to convert the velocity measured with Doppler flowmetry expressed in Hz to velocity expressed in mm/s.
Claims
1. A method for determining a calibration factor in Doppler flowmetry velocity measurements in the living eye, the method comprising: imaging the eye with Doppler flowmetry; processing the data to obtain blood velocity, volume, and flow maps using Doppler flowmetry formulas that provide velocity as a mean frequency expressed in Hz, and volume and flow in arbitrary units; probing a selected blood vessel with Doppler OCT to measure the absolute velocity of blood at that location expressed in mm/s; and determining a calibration factor to convert the velocity measured with Doppler flowmetry expressed in Hz to velocity expressed in mm/s.
2. The method in claim 1 wherein the living eye is a human eye or an animal eye.
3. The method in claim 1 wherein the Doppler flowmetry method is line-scanning Doppler flowmetry (LSDF).
4. The method in claim 1 wherein the calibration factor is calculated using LSDF and OCT measurements at the same location in the retina and at the same time.
5. The method of claim 1 in which probing a selected blood vessel with Doppler OCT includes: scanning the OCT beam in a circular pattern; intersecting the blood vessel twice, identified by two spots in the OCT image; measuring the height difference of the two spots; calculating the angle between the blood vessel and the OCT beam using the measured height difference; and calculating the absolute blood velocity using the angle between the blood vessel and the OCT beam and the axial velocity component obtained from Doppler OCT.
6. The method in claim 5 wherein the circular OCT scan is generated by scanning an OCT beam on the surface of a cone with the apex in the center of the eye pupil.
7. The method in claim 6 wherein the cone angle is approximately 2 degrees.
8. The method of claim 1 in which obtaining blood volume includes: fitting a profile of the Doppler flowmetry data in a plane perpendicular to the blood vessels with a parabolic function; and calculating the diameter of the blood vessel as the distance between the two points where the parabolic fit function is zero.
9. The method in claim 8 wherein the Doppler flowmetry data is a velocity map.
10. The method in claim 8 wherein the Doppler flowmetry data is a volume map.
11. The method in claim 8 wherein the Doppler flowmetry data is a flow map.
12. The method of claim 8 in which calculating the cross-sectional area of the blood vessels includes using a calculated blood vessel diameter.
13. The method of claim 12 in which obtaining the volumetric flow map expressed in mm.sup.3/s, comprises multiplying the calibrated velocity map by the calculated cross-sectional area map.
14. A method of determining blood velocity measurements in the living eye, the method comprising: imaging the eye with Doppler flowmetry; obtaining blood velocity, volume, and flow maps using Doppler flowmetry formulas that provide velocity as a mean frequency expressed in Hz, and volume and flow in arbitrary units; probing a selected blood vessel with Doppler OCT to measure the absolute velocity of blood at that location expressed in distance over time; determining a calibration factor to convert the blood velocity measured with Doppler flowmetry expressed in Hz to blood velocity expressed in distance over time; and calculating the blood velocity in distance over time using the calibration factor.
15. A method for determining blood velocity measurements in the living eye, the method comprising: imaging the eye with Doppler flowmetry; obtaining velocity, volume, and flow maps using Doppler flowmetry formulas that provide blood velocity as a mean frequency expressed in Hz and volume and flow in arbitrary units; probing a selected blood vessel with Doppler OCT to measure the absolute velocity of blood at that location expressed in distance over time; determining a calibration factor to convert the blood velocity measured with Doppler flowmetry expressed in Hz to velocity expressed in mm/s; and using the calibration factor to convert the blood velocity measured with Doppler flometry to blood velocity expressed in distance over time.
16. The method in claim 15 wherein the living eye is a human eye or an animal eye.
17. The method in claim 15 wherein the Doppler flowmetry method is line-scanning Doppler flowmetry (LSDF).
18. The method in claim 15 wherein the calibration factor is calculated using LSDF and OCT measurements at the same location in the retina and at the same time.
19. The method of claim 15 in which probing a selected blood vessel with Doppler OCT includes: scanning the OCT beam in a circular pattern; intersecting the blood vessel twice, identified by two spots in the OCT image; measuring the height difference of the two spots; calculating the angle between the blood vessel and the OCT beam using the measured height difference; and calculating the absolute blood velocity using the angle between the blood vessel and the OCT beam and the axial velocity component obtained from Doppler OCT.
20. The method in claim 18 wherein the circular OCT scan is generated by scanning an OCT beam on the surface of a cone with the apex in the center of the eye pupil.
21. The method in claim 19 wherein the cone angle is approximately 2 degrees.
22. The method of claim 15 in which obtaining blood volume includes: fitting a profile of the Doppler flowmetry data in a plane perpendicular to the blood vessels with a parabolic function; and calculating the diameter of the blood vessel as the distance between the two points where the parabolic fit function is zero.
23. The method in claim 2 2 wherein the Doppler flowmetry data is a velocity map.
24. The method in claim 22 wherein the Doppler flowmetry data is a volume map.
25. The method in claim 22 wherein the Doppler flowmetry data is a flow map.
26. The method of claim 22 in which calculating the cross-sectional area of the blood vessels includes using a calculated blood vessel diameter.
27. The method of claim 25 in which obtaining the volumetric flow map comprises multiplying the calibrated velocity map by the calculated cross-sectional area map.
28. A method for determining a calibration factor in Doppler flowmetry velocity measurements in the living eye, the method comprising: imaging the eye with Doppler flowmetry; processing the data to obtain blood velocity, volume, and flow maps using Doppler flowmetry formulas that provide velocity as a mean frequency expressed in Hz, and volume and flow in arbitrary units; probing a selected blood vessel with Doppler OCT to measure the absolute velocity of blood at that location expressed in distance over time by: scanning the OCT beam in a circular pattern, intersecting the blood vessel twice, identified by two spots in the OCT image, measuring the height difference of the two spots, calculating the angle between the blood vessel and the OCT beam using the measured height difference, and calculating the absolute blood velocity using the angle between the blood vessel and the OCT beam and the axial velocity component obtained from Doppler OCT; and determining a calibration factor to convert the velocity measured with Doppler flowmetry expressed in Hz to velocity expressed in distance over time.
29. The method in claim 28 wherein the living eye is a human eye or an animal eye.
30. The method in claim 28 wherein the Doppler flowmetry method is line-scanning Doppler flowmetry (LSDF).
31. The method in claim 28 wherein the calibration factor is calculated using LSDF and OCT measurements at the same location in the retina and at the same time.
32. The method in claim 28 wherein the circular OCT scan is generated by scanning an OCT beam on the surface of a cone with the apex in the center of the eye pupil.
33. The method in claim 32 wherein the cone angle is approximately 2 degrees.
34. The method of claim 28 in which obtaining blood volume includes: fitting a profile of the Doppler flowmetry data in a plane perpendicular to the blood vessels with a parabolic function; and calculating the diameter of the blood vessel as the distance between the two points where the parabolic fit function is zero.
35. The method in claim 34 wherein the Doppler flowmetry data is a velocity map.
36. The method in claim 34 wherein the Doppler flowmetry data is a volume map.
37. The method in claim 34 wherein the Doppler flowmetry data is a flow map.
Description
BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS
[0030] Other objects, features and advantages will occur to those skilled in the art from the following description of a preferred embodiment and the accompanying drawings, in which:
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DETAILED DESCRIPTION OF THE INVENTION
[0053] Aside from the preferred embodiment or embodiments disclosed below, this invention is capable of other embodiments and of being practiced or being carried out in various ways. Thus, it is to be understood that the invention is not limited in its application to the details of construction and the arrangements of components set forth in the following description or illustrated in the drawings. If only one embodiment is described herein, the claims hereof are not to be limited to that embodiment. Moreover, the claims hereof are not to be read restrictively unless there is clear and convincing evidence manifesting a certain exclusion, restriction, or disclaimer.
[0054] In retinal blood flow Doppler (LSDF) imaging, the measurements are given in arbitrary units (Volume and Flow) or Hz (Velocity) and their conversion factor to the correct parameters claimed to be measured were rather elusive so far. The measurements seem to depend on a lot of uncontrolled factors, are operator dependent among other things, and cannot reliably support longitudinal studies on the same eye or comparisons among individuals.
[0055] Disclosed here is a method to calibrate the LSDF velocity map by determining the calibration factor from Hz to mm/s based on a local OCT measurement as illustrated in
[0056] Before performing measurements on human volunteers, we first tested the ability of the OCT system to quantify the flow velocity and the geometric dimensions of the flow channel, as described below. We used a cylindrical glass tube embedded in a scattering medium for a realistic testing of the quantitative flow measurement in a configuration that resembles the flow in a human eye. The flow channel was mounted on a rotation stage that allowed for controlled orientation of the flow with respect to the laser beam and on a micrometric translation stage for placing it in the focal plane of a 25 mm focal length lens. This arrangement acts as a model eye with the lens simulating the eye lens. Measurements were also made holding the flow channel stationary and changing the offset voltage of the scan to change the orientation of the scan vertically as one would do in a real eye to reposition the scan on a blood vessel. The liquid flown through the microfluidic channel was milk diluted in water.
[0057] The inside diameter of the cylindrical glass tube was 198 μm. The tube was connected to a syringe pump using silicone tubing to which was glued with epoxy. For a very stable phantom that could be used repeatedly over longer periods of time we used 3 μm aluminum oxide powder mixed in transparent silicone sealant. The scanning geometry is shown in
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[0059] The dark ring around the spots in
where: λ=1.06 μm is the OCT central wavelength, n=1.33 is the refractive index of water, and ΔT= 1/70 ms is the time between consecutive A-lines (for 70 kHz A-line rate).
[0060] 200 circular OCT scans were acquired and the phase calculations were averaged over these 200 scans assuming constant velocity flow during the data acquisition time (˜2.86 s). The total angle of the cone scanning geometry was approximately 2° (1° half angle).
[0061] One issue with Doppler OCT is that the phase calculation involves an arctangent which wraps at ±π/2. As the velocity and the angle increase, the phase approaches π/2 and then it jumps down to −π/2 resulting in alternating positive and negative rings. A useful procedure that provides rapid automatic un-wrapping of 2D phase images is based on least-squares, iteration and calibration to phase derivatives is described in Xia, H., et al., Phase calibration unwrapping algorithm for phase data corrupted by strong decorrelation speckle noise, Opt. Express 2016. 24(25): p. 28713-28730 and Xia, H., et al., Non-invasive Mechanical Measurement for Transparent Objects by Digital Holographic Interferometry Based on Iterative Least-Squares Phase Unwrapping, Experimental Mechanics, 2012. 52(4): p. 439-445 incorporated herein by this reference.
[0062] The OCT reflectivity images shown in
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[0065] The measurement of the absolute velocity is based on Eq. 1 which requires estimation of the angle θ between the flow and the laser beam. The results for the angle measurement are shown in
[0066] The line for each measurement set in
[0067] The results of the velocity measurement from OCT data are shown in
[0068] The volumetric flow rate Q can now be calculated as:
using the measured diameter D and the measured velocity V as shown above. The results for the three orientations are shown in
[0069] Line-scanning Doppler flowmetry measurements were performed for all orientations and set velocities as in the OCT measurements simultaneously with the OCT scans. Ten datasets were acquired for each measurement configuration and were averaged assuming constant flow during the measurement time (˜6.26 s). The measurements were also averaged along the tube over a set distance which was selected to avoid strong specular reflections which generally skew the results.
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[0071] To better understand the issue, we looked at the changes of the power spectrum with increasing flow velocity.
[0072] The velocity is defined in LDF as the mean frequency within the measurement range which works well for slow flow. The problem starts as the flow speed increases and the bell shape starts to move to the right. At some point it starts clipping on the right side as one can see in the sequence shown in
[0073] With this explanation in mind, we developed a solution for proper quantification of Velocity measurement with LSDF. The average of the three orientations is shown in
[0074] It should be noted here that in the plateau region, which is not perfectly flat, there is still a slow trend up, small errors in the Velocity measurement result in large swings in the calibrated velocity value. It should also be obvious that measured Velocity values larger than the largest value of the fitting curve generate invalid correction and cannot be used.
[0075] Using the inverse function of the fit shown in
[0076] Similarly to the estimation of the tube diameter from OCT data, we can evaluate the diameter from LSDF data. The need for that stems from the fact that the OCT measurement for flow analysis is a local measurement, over the small circular scan, while LSDF is providing a large area map of the flow. Lateral average of the Volume image provides a profile of the Volume across the tube as shown in
[0077] The results of the tube diameter measurement with LSDF for the three orientations are shown in
[0078] Having both the velocity (calibrated) and the diameter (average over the three orientations), we can calculate the volumetric flow rate Q using equation 2 and we can compare it with the set flow rate and the OCT measured flow rate.
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[0080] The ability of the Doppler OCT technique used here to precisely quantify flow parameters in a configuration similar to the blood vessels embedded in retinal tissue has been tested and validated using a glass tube at three different orientations with respect to the OCT beam. OCT is used as a local calibration probe. LSDF is used to generate large area maps of the retinal blood low. LSDF can also be used to measure the diameter and the velocity of the flow and the OCT measurement can be used to calibrate the LSDF measured velocity into the proper unit of measurement [mm/s].
[0081] Following the experiments described above on microfluidics that validated the ability of the combined OCT-LSDF technology to quantify the flow parameters, preliminary demonstration on the eye of human volunteers and on rats with retinal degeneration was performed.
[0082] Ten LSDF large area raster scans were acquired simultaneously with 200 circular OCT scans. The OCT scans were positioned to intersect a retinal blood vessel identified live in the SLO image or in the LSDF Velocity map following the concept shown in
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[0084] It should be noted here that the left image shows a white and black spot while the right image shows two white spots. White vs. black indicates that the axial component of the flow velocity is directed up or down. The bottom row in
[0085] The example shown in
[0086] Processing software automatically identifies the two spots (illustrated in
[0087] In one example, the imaging instrument is illustrated through a block diagram in
[0088] The LSDF path begins with the LSDF collimator (located on the back of the plate shown in
[0089] The strip mirror SM is a 2 mm width section of a 1 in. plane mirror that reflects the focused LSDF line beam and passes the returning reflection from retinal focal plane over the whole aperture. The LSDF scanner is conjugate to the ocular pupil (approximately 3 to 5 mm from the corneal surface) while the strip mirror is nearly conjugate to the corneal surface. This feature ensures that reflections from cornea are efficiently stopped by the strip mirror leaving as much as 80% of the collection aperture for gathering the reflected light from the retina, and therefore usually requiring no other means of eliminating unwanted reflections (e.g., polarizers).
[0090] The LSDF optical detection path begins from the eye model at right and proceeds through the VOLK ophthalmic lens; through the front scan lens group S (achromat and negative meniscus); reflects from the LSDF/OCT beam-combining dichroic D1 and the LSDF scanner; passes the strip mirror SM to the line-scan focusing lens LS; and reflects from the turning mirror M to the line-scan camera (CCD).
[0091] The OCT imaging path consists of a triplet collimator C (Thorlabs—25 mm focal length and ˜5 mm beam diameter) and a pair of x-y galvo scanners SC (OCT H and V). The collimated beam passes through the LSDF/OCT beam-combining dichroic D1 and then to the retina through the imaging optics common to the LSDF path. The OCT collimator C and the compound lens S define the focal plane to which the imaging path of the LSDF channel needs to be focused during instrument alignment to ensure that the depth range of the LSDF and the OCT channels overlap in the retina. The OCT detection path also includes the OCT interferometer and the spectrometer.
[0092] Although specific features of the invention are shown in some drawings and not in others, this is for convenience only as each feature may be combined with any or all of the other features in accordance with the invention. The words “including”, “comprising”, “having”, and “with” as used herein are to be interpreted broadly and comprehensively and are not limited to any physical interconnection. Moreover, any embodiments disclosed in the subject application are not to be taken as the only possible embodiments.
[0093] In addition, any amendment presented during the prosecution of the patent application for this patent is not a disclaimer of any claim element presented in the application as filed: those skilled in the art cannot reasonably be expected to draft a claim that would literally encompass all possible equivalents, many equivalents will be unforeseeable at the time of the amendment and are beyond a fair interpretation of what is to be surrendered (if anything), the rationale underlying the amendment may bear no more than a tangential relation to many equivalents, and/or there are many other reasons the applicant cannot be expected to describe certain insubstantial substitutes for any claim element amended.
[0094] Other embodiments will occur to those skilled in the art and are within the following claims.