Assessment of the effect of vessel curvature on Doppler measurements in steady flow

Blood vessel curvature is responsible for the appearance of nonaxial velocity components and for minor changes in the pattern of the axial flow. All the velocity components are expected to contribute to the Doppler signal produced by the ultrasound (US) backscattered by the insonated blood cells, the axial velocity, contributing to the actual volumetric blood flow, and the transverse velocity, causing the recirculating vortices. A detailed, separate analysis of the velocity components is, therefore, mandatory to quantify how vessel curvature can affect results and clinical diagnosis. Both experimental in vitro measures and numerical simulations were performed on a curved tube and the Doppler power spectra so obtained were compared. The satisfactorily agreement of the above spectra shows that the nonaxial velocity components are easily detectable with clinical equipment and that their amplitude, as expected, is not negligible and can bias Doppler measurements and resulting clinical diagnosis.     

Doppler indices in the umbilical arteries: influence of vessel curvature induced by bladder filling

Doppler indices are widely used to assess normal versus pathologic haemodynamics. In obstetrics, the assessment of abnormal values in some critical compartments, such as the umbilical arteries (UA), may be crucial in the clinical management of growth-restricted foetuses. It was recently proposed that the UA should be sampled in their perivesical portion (PVC), i.e., where they surround the foetal urinary bladder. However, measurements at this site could be biased by the degree of curvature of the vessel due to bladder filling. We investigated this possibility in vivo and in vitro, i.e., measurements on rubber tubes at different radii of curvature R_c. There was significant dependence of the Doppler indices A/B and PI on the vessel curvature and insonation angle; in fact, we recorded errors of about 25% when R_c was 10 times larger than the radius of the vessel and about 100% when R_c was five times larger than the radius of the vessel. Therefore, measurements of the UA at the PVC site should only be performed when the foetal bladder is empty. (E-mail: caterina.guiot@unito.it)     

A Doppler flowmeter for use in theatre

We have developed a Doppler flowmeter based on a 10 MHz pencil probe and mean frequency estimator which overcomes many of the limitations of existing electromagnetic and ultrasonic flowmeters. The output of the flowmeter, which is proportional to the first moment of the Doppler power spectrum and hence mean blood velocity is linear from 1.3 to over 50 cm s-1 for pulsatile flow. Variation in vessel diameter and angle of insonation, which are the common sources of error in Doppler flowmetry, are minimised by constraining the vessel in a plastic cuff which fixes the probe angle at 50 degrees. A simple gauge is used to compress the vessel flat, before the cuff is applied, to measure the wall thickness to within 0.25 mm. The vessel internal diameter and hence blood flow can then be calculated using an experimentally determined calibration factor to compensate for non-even insonation. A range of sterilizable cuffs from 3-12 mm diameter have been built and the flowmeter is now being used routinely during all arterial reconstructive surgery. The accuracy and reproducibility of the system was tested for range of different sized silastic tubes on a hydraulic model and found to be less than 12% for vessels greater than 2 mm internal diameter. Satisfactory signals were easily obtained from all prosthetic materials with the exception of PTFE. The instantaneous output was compared to an electromagnetic flowmeter using a fast Fourier transform algorithm; the moduli of the harmonics were virtually identical but the Doppler system produced a smaller phase shift with increasing harmonics.(ABSTRACT TRUNCATED AT 250 WORDS)     

Blood velocity profile in the ductus venosus inlet expressed by the mean/maximum velocity ratio

Mean blood velocity (V_mean) is needed for calculating blood flow and possibly the pressure gradient across the ductus venosus. Interference from low velocities from neighbouring vessels makes the direct Doppler measurement of V_mean unreliable. Therefore, it is suggested that V_mean can be derived more reliably from the maximum velocity (V_max) once the velocity profile, expressed as the ratio V_mean/V_max, is known. To determine this ratio, ultrasound was performed in 10 fetal sheep during acute experiments under general anaesthesia to ensure good recording control and optimal insonation. Based on 33 Doppler measurements at the ductus venosus inlet, the ratio V_mean/V_max was determined to be 0.69 (SD ± 0.07) regardless of V_max, pulsatility index, vessel diameter, or angle of insonation. These results confirm the previous prediction based on a computational model that the velocity profile is partially blunted. The equation V_mean = 0.7V_max is recommended for determining V_mean in the ductus venosus.     

Transcranial Doppler sonography: anatomical landmarks and normal velocity values

Until recently, both the diagnosis of intracranial occlusive disease of the large brain arteries, as well as intracranial flow abnormalities due to extracranial arterial lesions, have been a "blind spot" for ultrasound techniques. With the advent of transcranial Doppler sonography (TCD), however, a broad spectrum of potential clinical and scientific applications of TCD to the intracranial vasculature has been advocated. In order to achieve an informative insonation of vessels and a correct interpretation of findings, knowledge of both anatomical landmarks within the skull and flow characteristics of distinct vessel segments are necessary. This paper presents such data elaborated from 64 carotid and 42 vertebral angiograms, 40 contrast-medium enhanced CT scans demonstrating the circle of Willis, 122 normal sagittal MRI scans of the brainstem, 40 cadaver skulls, 38 fresh cadavers, 106 normal volunteers and 59 patients with subclavian steal mechanisms. The main findings were as follows: The inner internal carotid artery bifurcation, the M1-segment of the middle cerebral artery, the C3-segment of the carotid siphon, the vertebral artery junction and the top of the basilar artery were found at insonation depths of 60.4 +/- 7, 40 +/- 8 to 60.4 +/- 7, 62 +/- 4, 84 +/- 8 and 108 +/- 8 mm, respectively. Normal mean flow velocities within the M1-segment, the posterior cerebral artery, the carotid siphon and the basilar trunk were 58 +/- 15.6, 39 +/- 9.9, 47 +/- 13.8 and 41 +/- 10 cm/s, respectively, and revealed a marked decrease with age. Intraindividual side-to-side differences were low. Vertebrobasilar data from measurements of neuroradiological material closely met in vivo findings in normals and patients. Criteria for the identification of various vessel segments are provided. On the basis of these findings, a topographical orientation within the skull should be possible in order that beginners commence TCD accurately. Normative velocity data are helpful for differentiating normal and pathological flow conditions at different ages.     

Relative Blood Flow Changes Measured Using Calibrated Frequency-Weighted Doppler Power at Different Hematocrit Levels

In theory, the power of a trans-cranial Doppler signal may be used to measure changes in blood flow and vessel diameter in addition to velocity. In this study, a flow index (FI) of relative changes in blood flow was derived from frequency-weighted Doppler power signals. The FI, plotted against velocity, was calibrated to the zero intercept with absent flow to reduce the effects of non-uniform vessel insonation. An area index was also calculated. FIs were compared with actual flow in four silicone tubes of different diameter at increasing flow rates and increasing hematocrit (Hct) in a closed-loop phantom model. FI values were strongly correlated with actual flow, at constant Hct, but varied substantially with changes in Hct. Percentage changes in area indexes, relative to the 4-mm tube, were strongly correlated with tube cross-sectional area. The implications of these results for in vivo use are discussed.     

Signal-enhanced color Doppler sonography of deep venous thrombosis in the lower limbs and pelvis.

Detection of Doppler signal tends to be more difficult in peripheral veins owing to low flow velocity. This can be caused by nonoccluding thrombosis, post-thrombotic wall changes, or a deep anatomic location of pelvic veins. The last-mentioned frequently is accompanied by interference by bowel gas. In addition, inappropriate insonation angles adversely affect the outcome of color-coded Doppler interrogation. The purpose of the present study was to evaluate the effectiveness of signal-enhanced color Doppler sonography on peripheral veins in 31 patients clinically suspected of having deep vein thrombosis. As a result of diagnostic uncertainty, additional enhanced studies were performed on 43 venous segments. The enhancement led to a decrease in false-positive results (from four patients to one patient) and false-negative results (from four patients to two patients) compared to unenhanced studies. Evaluation of the deeply located pelvic veins profited the most through signal enhanced Doppler sonography.     

Limits of uncertainty in measured values of embolus-to-blood ratio due to Doppler sample volume shape and location

Measurements of the relative Doppler power scattered by an embolus and the surrounding blood are widely used to infer the composition of the embolus. For a given embolus, measured embolus-to-blood ratio (MEBR) is affected by the Doppler sample volume shape, the geometrical relationship between the sample volume and the vessel, and the embolus trajectory through the blood vessel. The likely magnitudes of such effects were quantified using a model that allowed calculation of theoretical values of MEBR as a function of the geometrical relationship between a blood vessel and a defined sample volume. Overall, the effects of embolus trajectory, likely insonation angles, and plausible vessel misalignments introduced uncertainties in MEBR values of approximately 10 to 12 dB for a given vessel size. In practice, the only operator-controlled factors are the position and orientation of the transcranial Doppler probe on the patients' heads. Probe positioning can significantly affect MEBR and suboptimal positioning may result in the reduced detection of emboli.     

Effects of transducer beam geometry and flow velocity profile on the Doppler power spectrum: a theoretical study

A theoretical model is used to show how the Doppler spectrum for various axisymmetric velocity profiles is affected by beam misalignment and incomplete insonation. Results are presented for both circular and square beam geometries. Moreover, a closed-form expression is derived for the power spectral density received by an on-axis transducer with a Gaussian beam profile. It is shown that the error incurred in measuring the mean Doppler frequency with such a profile will generally be bounded by the results for the circular and square beam geometries. The effects of an ideal high-pass filter on the mean Doppler frequency and the backscattered Doppler power are examined. It is shown that such a filter can introduce large differences in the measured systolic to diastolic power ratios. Finally, theoretical expressions and results are presented for the spectral broadening index (SBI), normalized spectral variance (NSV), coefficient of kurtosis (CK), the coefficient of skewness (CS) as functions of the axisymmetric velocity profile shape assuming complete uniform insonation.     

Effect of Doppler angle in diagnosis of internal carotid artery stenosis.

OBJECTIVE: The purpose of this study was to compare velocity measurements obtained with 2 fixed insonation angles and to investigate whether there is a difference in their ability in determining internal carotid artery (ICA) stenosis. METHODS: Eighty-seven patients with ICA stenosis were examined with color duplex ultrasonography. Velocity measurements were made at 60 degrees and 45 degrees insonation angles, and they were compared with Bland-Altman and receiver operating characteristic curve analysis. RESULTS: Peak systolic velocity (PSV) and end-diastolic velocity measurements obtained at the 60 degrees insonation angle were higher compared with those obtained at the 45 degrees insonation angle (24.2% and 24.7%, respectively). The ICA-to-common carotid artery PSV ratio, conversely, was slightly higher (3.9%). Although the threshold values for the same velocity parameters obtained at 2 different insonation angles were different, the accuracy ratios (sensitivity and specificity) were not. With application of the Society of Radiologists in Ultrasound consensus criteria to the data obtained at either of the 2 insonation angles, the accuracy ratios of PSV and end-diastolic velocity were found to be statistically different. In the ICA-to-common carotid artery PSV ratio, however, there were no statistically significant differences in the accuracy ratios. CONCLUSIONS: Doppler velocity measurements made at different fixed insonation angles show considerable differences. In determining ICA stenosis, although optimal thresholds are different, the diagnostic performance is not different. In determining ICA stenosis with color duplex ultrasonography, angle-specific thresholds must be determined, and examinations must be made at a fixed angle.     

Mirror image artifacts of color Doppler images causing misinterpretation in carotid artery stenoses.

A knowledge of mirror image artifacts in color-coded duplex sonography is important as they can lead to diagnostic problems in the morphologic evaluation of stenoses and plaques. Mirror image artifacts were detectable in stenosed vessels when strongly reflecting plaques on the wall of the vessel distant from the transducer head were insonated obliquely. The artifacts were revealed in regions that were hypoechoic or anechoic on B-mode scans. Depending on the angle of insonation and the surface structure of the plaque, the mirror image artifact could be linked with the vessel lumen and thus imitate ulcerations or branches. The artifact appeared in both the longitudinal and the transverse projections and also occurred in the power Doppler and in pulsed Doppler sonographic modes. Mirror image artifacts with linkages to the vessel lumen that could result in a misinterpretation were seen in 2.5% of the stenosed vessels.     

New technology - demonstration of a vector velocity technique

With conventional Doppler ultrasound it is not possible to estimate direction and velocity of blood flow, when the angle of insonation exceeds 60-70°. Transverse oscillation is an angle independent vector velocity technique which is now implemented on a conventional ultrasound scanner. In this paper a few of the possibilities with transverse oscillation are demonstrated.     

Acoustic streaming: an in vitro study

The aims of this study were, first, to determine if cyst size and cyst-to-transducer distance have an impact upon acoustic streaming and, second, to investigate the effect of cyst content viscosity on acoustic streaming using an artificial ovarian cyst model. Artificial ovarian cysts were constructed and suspended in a tissue-mimicking bath. Although there was no subjective difference in acoustic streaming velocity between cyst sizes during B-mode insonation, with colour Doppler and pulsed Doppler examination, higher acoustic streaming scores were recorded for larger cysts. When the cyst-to-transducer distance was increased, the acoustic streaming velocity was noted to decrease in all scanning modalities. The second stage of the study demonstrated decreasing acoustic streaming velocity as the viscosity of the cyst content was increased. The finding of a clear association between cyst content viscosity and acoustic streaming velocity raises the exciting possibility that we may be able to make estimations of the viscosity of ovarian cyst contents, in the clinical setting, by sonographic means.     

Doppler flow measurement using surface integration of velocity vectors (SIVV): in vitro validation

Blood flow measurement using an improved surface integration of velocity vectors (SIVV) technique was tested in in vitro phantoms. SIVV was compared with true flow (12-116 mL/s) in a steady-state model using two angles of insonation (45 degrees and 60 degrees ) and two vessel sizes (internal diameter = 11 and 19 mm). Repeatability of the method was tested at various flow rates for each angle of insonation and vessel. In a univentricular pulsatile model, SIVV flow measured at the mitral inlet was compared to true flow (29-61 mL/s). Correlation was excellent for the 19-mm vessel (r(2)= 0.99). There was a systematic bias but close limits of agreement (mean +/- 2 SD = -24.1% +/- 7.6% at 45 degrees; +16.4% +/- 11.0% at 60 degrees ). Using the 11-mm vessel, a quadratic relationship was demonstrated between between SIVV and true flow (r(2) = 0.98-0.99), regardless of the angle of insonation. In the pulsatile system, good agreement and correlation were shown (r(2) = 0.94, mean +/- 2 SD = -4.7 +/- 10.1%). The coefficients of variation for repeated SIVV measurements ranged from 0.9% to 10.3%. This method demonstrates precision and repeatability, and is potentially useful for clinical measurements.     

Assessment of Resting-State Blood Flow Through Anterior Cerebral Arteries Using Trans-cranial Doppler Recordings

Trans-cranial Doppler (TCD) recordings are used to monitor cerebral blood flow in the main cerebral arteries. The resting state is usually characterized by the mean velocity or the maximum Doppler shift frequency (an envelope signal) by insonating the middle cerebral arteries. In this study, we characterized cerebral blood flow in the anterior cerebral arteries. We analyzed both envelope signals and raw signals obtained from bilateral insonation. We recruited 20 healthy patients and conducted the data acquisition for 15 min. Features were extracted from the time domain, the frequency domain and the time-frequency domain. The results indicate that a gender-based statistical difference exists in the frequency and time-frequency domains. However, no handedness effect was found. In the time domain, information-theoretic features indicated that mutual dependence is higher in raw signals than in envelope signals. Finally, we concluded that insonation of the anterior cerebral arteries serves as a complement to middle cerebral artery studies. Additionally, investigation of the raw signals provided us with additional information that is not otherwise available from envelope signals. Use of direct trans-cranial Doppler raw data is therefore validated as a valuable method for characterizing the resting state.     

Transcranial Doppler Sonography in Headache-Free Migraineurs

SYNOPSIS
We used transcranial Doppler ultrasonography to determine whether intracranial blood velocities in 182 headache-free migraineurs (60 with aura, 122 without aura) differed from velocities in 38 nonheadache prone control subjects. During the headache-free period, migraineurs with and without aura had significantly elevated mean velocities in all intracranial arteries except the right internal carotid artery at the level of the siphon. Velocities in migraineurs with aura did not differ significantly from velocities in those without aura.
Markedly increased velocities were noted in a subset of interictal migraineurs. Two explanations are possible: 1) Blood flow velocities may increase in response to a decrease in the cross sectional area of a vessel st or near the point of insonation. 2) Alterations at the level of the cerebral arteriole may affect regional cerebral blood flow, thereby changing blood flow velocities at the point of insonation. Transcranial Doppler sonography alone cannot sort out which process is responsible for the vascular response.
This work may have therapeutic as well as diagnostic implications. When interictal flow velocities are markedly increased, it is possible that therapeutic agents with vasoconstrictor action might cause an excessive response. Further study is needed to clarify the sites of vasoreactivity as well as the magnitude of drug-induced vasoconstrictor response.     

In vitro validation of volumetric blood flow measurement using Doppler flow wire

Determination of any volumetric blood flow requires assessment of mean blood flow velocity and vessel cross-sectional area. For evaluation of coronary blood flow and flow reserve, however, assessment of average peak velocity alone is widely used, but changes in velocity profile and vessel area are not taken into account. We studied the feasibility of a new method for calculation of volumetric blood flow by Doppler power using a Doppler flow wire. An in vitro model with serially connected silicone tubes of known lumen diameters (1.5, 2.0, 2.5, 3.0, 3.5 and 4.0 mm) and pulsatile blood flow ranging from 10 to 200 mL/min was used. A Doppler flow wire was connected to a commercially available Doppler system (FloMap(R), Cardiometrics) for online calculation of the zeroth (M(0)) and the first (M(1)) Doppler moment, as well as mean flow velocity (V(m)). Two different groups of sample volumes (at different gate depths) were used: 1. two proximal sample volumes lying completely within the vessel were required to evaluate the effect of scattering and attenuation on Doppler power, and 2. distal sample volumes intersecting completely the vessel lumen to assess the vessel cross-sectional area. Area (using M(0)) and V(m) (using M(1)/M(0)) obtained from the distal gates were corrected for scattering and attenuation by the data obtained from the proximal gates, allowing calculation of absolute volumetric flow. These results were compared to the respective time collected flow. Correlation between time collected and Doppler-derived flow measurements was 0.98 (p < 0.0001), with a regression line close to the line of equality indicating an excellent agreement of the two measurements in each individual tube. The mean paired flow difference between the two techniques was 1.5 +/- 9.0 mL/min (ns). Direct volumetric blood flow measurement from received Doppler power using a Doppler flow wire system is feasible. This technique may potentially be of great clinical value because it allows an accurate assessment of coronary flow and flow reserve with a commercially available flow wire system.     

Validation of a sensitivity performance index test protocol and evaluation of colour Doppler sensitivity for a range of ultrasound scanners

The ability to detect flow is the most crucial aspect of an ultrasound (US) system because, if flow cannot be detected, no other aspect of performance matters. The objectives of this study were to validate a Doppler "sensitivity performance index," a figure of merit, and to determine if it could be used to differentiate colour Doppler sensitivity performance in scanners of varying complexity. The sensitivity performance index was developed to give a combined measure of related aspects of sensitivity, such as the lowest detectable velocity, the vessel size and the penetration depth. The colour Doppler sensitivity was evaluated objectively as the lowest detectable velocity signal from the deepest achievable point within the Doppler sensitivity phantom free from extraneous noise in a small diameter vessel (3.2 mm inner diameter). The effect of vessel size and mean velocity on the sensitivity performance index were investigated and it was found that the index was not proportional to vessel size, but this may be accounted for by considering the effect of the acoustic properties of the vessel material, the clutter filter and beam shape. The results obtained using flow phantoms with vessel sizes different from those used in this study are, therefore, not directly comparable to the results found in this study; however, a similar trend should be found in the results for the effect of control settings and a similar range of US scanners. It was found that the Doppler sensitivity performance index was a robust challenging test because none of the US scanners evaluated was capable of achieving the highest sensitivity performance index score, which would be limited by the lowest pump velocity and the deepest point of the vessel within the flow phantom. Therefore, this suggests that this method of determining Doppler sensitivity performance is valuable in the absence of other suitable methods, despite the fact that the relationship between the sensitivity performance index and vessel size is not proportional. Furthermore, use of the Doppler sensitivity performance index for the evaluation of a range of scanners demonstrated that curvilinear transducers have higher sensitivity performance indices than higher-frequency linear transducers, due to the higher achievable penetration depth. The effect of instrument settings was assessed for two transducers, the 4C3 curvilinear general-purpose transducer (Aspen) and the PVM375AT curvilinear general-purpose transducer (Nemio). The colour Doppler sensitivity performance was found to be significantly dependent on the clutter filter setting and the output power setting for both transducers tested. Users need to be aware of the effect of these settings on the colour Doppler sensitivity performance of their US scanner when interpreting the clinical significance of the colour Doppler information.     

Pulsed doppler techniques for measuring instantaneous maximum and mean flow velocities in carotid arteries

A 5 MHz pulsed Doppler instrument measuring instantaneous maximum and mean flow velocities is presented. The maximum velocity estimator is based on the principle of frequency variable filtering controlled by a feedback loop to follow the velocity spectrum envelope.Findings by Doppler and bilateral selective carotid arteriography in 216 patients were compared. Extracranial carotid stenoses were identified by the finding of a vessel segment with locally increased flow velocity. Peak Velocity Ratio (PVR) was calculated from maximum velocities measured in the stenosis and in more distal Internal Carotid Artery (ICA) segments. Using PVR, ICA stenoses > 20% were detected with sensitivity 96%, specificity 94%, positive accuracy 94% and negative accuracy 96%. Total ICA occlusions were identified with sensitivity 97% and specificity 99%.     

Fetal hemodynamics evaluated by Doppler velocimetry in the second half of pregnancy

The objective of our study was to assess fetal hemodynamics by Doppler velocimetry during the second half of pregnancy. We carried out a longitudinal study on 33 normal fetuses between the 22nd and 38th weeks of gestation. Doppler velocimetry was performed in the aorta, suprarenal (SRA) and infrarenal (IRA) segments, middle cerebral artery (MCA) and umbilical artery (UA), on the basis of fetal peak systolic velocity (SV), end-diastolic velocity (DV) and resistance index (RI). We used a sample volume of 1 mm, a wall filter of 50 to 100 Hz, a 5 degrees to 19 degrees insonation angle in the MCA and UA, and below 60 degrees in the SRA and IRA. Between the 22nd and 38th weeks of gestation, SV and DV increased in all fetal arteries (p<0.05), but SV decreased in the UA from 52.5 to 46.2 cm/s between the 34th and 38th gestational weeks (p<0.05). The RI was unchanged in the SRA and throughout most of the gestational weeks in the IRA (p>0.05), but decreased from 0.69 to 0.56 in the UA (p<0.05). In the MCA, it decreased from 0.85 to 0.75 between the 26th and 38th gestational weeks (p<0.05). In conclusion, the volume of blood flow in the fetal organs necessary for their development is related to increased SV and DV and to decreased RI. The Doppler velocimetry measurements for normal fetuses could be compared with those for fetuses in high-risk pregnancies.