Key words
angiography - velocity ratio - atherosclerosis - peripheral arterial disease - vector
            velocity ultrasound
Introduction
            Atherosclerosis is a systemic disease of the larger arteries causing luminal narrowing
               leading to cardiovascular diseases, the number one cause of death globally [1]. One subgroup of cardiovascular diseases is peripheral arterial disease (PAD), in
               particular lower extremity arterial disease.
            Digital subtraction angiography (DSA) is the gold standard for vessel analysis. Besides
               a diagnostic overview of the blood vessels, it allows simultaneous endovascular therapy.
               However, DSA is invasive, contrast-dependent, and exposes patients and staff to ionizing
               radiation [2]. Moreover, traditional DSA is a two-dimensional imaging modality, limiting the stenosis
               assessment to the imaged projection plane. This can lead to inaccurate diameter measurements,
               especially for elliptic and other complicated vessel shapes.
            An alternative to DSA is Doppler ultrasound, which is a diagnostic tool providing
               information regarding the vessel wall and hemodynamics and is commonly used for evaluation
               of PAD. Color and spectral Doppler can be used to localize and assess the severity
               of possible stenoses by estimating the blood flow velocity. The velocity correlates
               with lumen diameter, but due to interindividual variations of blood flow, velocity
               ratios, i. e. the intrastenotic velocity divided by the prestenotic velocity, provide
               better estimates of the stenoses [3]
               [4]. Velocity ratios are normally calculated on the basis of two individual peak systolic
               velocity measurements, measured in the stenosis and in a proximal vessel segment with
               a normal lumen. In previous studies, velocity ratios varying from 1.5 to 2.4 have
               been shown to distinguish<50% stenoses from>50% stenoses, where the stenosis degree
               was based on angiographic diameter reduction [3]
               [4]
               [5]
               [6]
               [7]. The conventional Doppler technique is angle-dependent and operator-reliant, in
               particular in the presence of stenoses [8]
               [9]. Operator errors can therefore lead to substantial deviations in velocity estimation
               and subsequent velocity ratio calculation, and because two individual velocity estimations
               are needed to provide a ratio, the deviation can be further aggravated.
            To circumvent the angle dependency of conventional Doppler, the angle-independent
               ultrasound technique Vector Flow Imaging (VFI) was proposed by Jensen and Munk [10]. VFI provides simultaneously the axial and transverse velocity components of the
               blood flow. A conventional ultrasound pulse for flow estimation is transmitted, and
               the received echoes are beamformed to yield three beams in parallel. One uses conventional
               beamforming for estimating the axial velocity, and the other two beams are used for
               estimating the transverse velocity component. By combining the velocity components
               along the two axes, 2D vector velocities are obtained. VFI using linear arrays has
               a tissue penetration of 5 cm and is useful on superficial blood vessels. The technique
               is described further by [10]
               [11]
               [12], and the clinical use by [13]
               [14]
               [15]
               [16]
               [17]
               [18]
               [19].
            The aim of the study was to investigate VFI as a technique for the quantitative assessment
               of PAD. The technique was tested in a small patient group with PAD and clinical indication
               of stenosis in the superficial femoral artery (SFA). The hypothesis was that velocity
               ratios derived from VFI can be used to distinguish significant stenoses (>50% diameter
               reduction) from non-significant stenoses. DSA was used as the reference technique
               to measure vessel diameter.
         Materials and Methods
            Patients
            
            Thirty consecutive patients scheduled for DSA of the lower extremities due to suspected
               PAD were examined. Patients were eligible for inclusion if they had one or more previously
               untreated atherosclerotic lesions (stenosis or plaque) in the SFA. Nineteen patients
               with previous by-pass surgery, endovascular surgery, occlusion, no lesions (judged
               by both ultrasound and DSA), or widespread atherosclerotic disease according to the
               TransAtlantic Inter-Society Consensus Document on Management of PAD (TASC II, [20]) were excluded. 11 of the 30 patients were included, providing a total of 16 lesions
               consisting of 13 stenoses and 3 plaques.
            
            Written informed consent was obtained. The local Ethics Committee waived approval,
               since ultrasound scanning of atherosclerotic extremities is considered a routine procedure
               (protocol number: H-4-2013-001).
            
            Scan setup using Vector Flow Imaging
            
            A commercial scanner (UltraView 800, BK Ultrasound, Herlev, Denmark) was used with
               a linear transducer with a center frequency of 9 MHz (8670, BK Ultrasound, Herlev,
               Denmark).
            
            All patients underwent ultrasound scan in the angiography room just prior to DSA,
               and all were scanned in a supine position after at least 15 min. of rest. The patients'
               SFAs were scanned longitudinally from the bifurcation of the common femoral artery
               to the point where the SFA enters the adductor canal. When disturbed flow was detected
               by VFI, a marker (paper clip) was attached to the patient's thigh corresponding to
               the location of the flow disturbance ensuring corresponding ultrasound and angiographic
               recordings ([Fig. 1]). From this location a VFI-sequence of 15 s was recorded with a frame rate of 15 Hz.
               The recording contained flow both in the lesion and proximal/distal to the lesion.
               Disturbed flow was defined as the presence of vortices, flow in multiple directions
               and/or suddenly occurring aliasing indicating increasing flow velocities. VFI provides
               2D images of the blood flow, where each pixel contains quantitative information about
               direction and velocity with superimposed vector arrows to facilitate flow visualization
               ([Fig. 2]).
            
             Fig. 1 DSA with paper clip marker indicating the stenosis (patient 7).
                  Fig. 1 DSA with paper clip marker indicating the stenosis (patient 7).
            
            
            
             Fig. 2 Scanning of a stenosis (patient 4) using VFI. The arrows illustrate flow direction
                  and relative velocity magnitude. The arrows are for illustrative purposes only and
                  are not used for the quantitative estimation of velocity and direction. The blood
                  flows from left to right as indicated by the arrows in the green area. Aliasing indicating
                  higher flow velocities is seen in the purple area to the left and poststenotic disturbed
                  flow is seen to the right. Notice the angle of insonation of 90º.
                  Fig. 2 Scanning of a stenosis (patient 4) using VFI. The arrows illustrate flow direction
                  and relative velocity magnitude. The arrows are for illustrative purposes only and
                  are not used for the quantitative estimation of velocity and direction. The blood
                  flows from left to right as indicated by the arrows in the green area. Aliasing indicating
                  higher flow velocities is seen in the purple area to the left and poststenotic disturbed
                  flow is seen to the right. Notice the angle of insonation of 90º.
            
            
            
            The color box is operated similar to color Doppler and was adjusted to cover the vessel
               and vessel walls. The pulse repetition frequency (PRF) was adjusted to the level providing
               the best possible filling of the vessel, even if aliasing still was present in peak
               systole. If the PRF was adjusted to the level where no aliasing was present, data
               containing lower flow velocities would be neglected. The angle of insonation was 70-90
               degrees in all cases.
            
            Previous VFI studies performed on a flow rig and in-vivo indicated a negative bias
               around -10% for velocity estimations [12]
               [13]. This is due to a bias in the estimation scheme, which can be compensated for in
               an optimized setup as demonstrated by Jensen et al. [21]. However, in this study determination of the exact velocities is not relevant, since
               the velocity estimations are used to calculate velocity ratios, and thus, any systematic
               error is removed.
            
            Angiography
            
            An Infinix-i system (model INFX-8000 V, Toshiba Medical Systems Corporation, Tochigi-ken,
               Japan) was used for DSA. Puncture of the common femoral artery was performed followed
               by placement of a 5 French sheath. A 4 or 5 French catheter was used for contrast
               injections and DSA was performed using 2 frames/s and a 6-10 ml. contrast injection
               (Visipaque 270 mgI/ml). Routine anteroposterior images in one plane were recorded
               and occasionally supplemented by oblique projections. Subsequent measurements were
               performed on a standard workstation. From the region of interest (marked with the
               paper clip), the image yielding the most severe diameter reduction was used for calculation
               of the stenosis degree percentage. This was calculated using the smallest diameter
               in the stenosis versus the diameter in an adjacent normal arterial segment. A stenosis
               degree of 40% corresponds to a vessel diameter reduced by 40% compared to the normal
               vessel. Disturbed flow detected with VFI with no corresponding diameter reduction
               in any of the DSA images was defined as an atherosclerotic plaque. Stenosis degree
               percentage was calculated independently of the ultrasound scanning by a radiologist
               not otherwise involved in the study.
            
            Velocity ratios calculated from VFI
            
            The VFI recordings were analyzed off-line with in-house MATLAB scripts (MathWorks,
               Natick, MA, USA) with a point-and-click interface providing the velocity and direction
               for each pixel. From each recording, three frames illustrating flow with the best
               possible filling of the vessel in both the lesion and healthy part of the SFA were
               selected. The velocity ratio was then calculated as the maximum velocity detected
               as centrally as possible in the lesion divided by the maximum velocity detected centrally
               in the adjacent disease-free segment. In three cases the challenge was to obtain velocities
               upstream of the stenosis, and thus, only downstream velocities were measured. No measurements
               were made in the turbulence immediately downstream of the stenosis. Both velocities
               were obtained from the same frame, and as far from each other as possible within the
               width of the transducer. Only velocities with a flow direction parallel to the vessel
               wall were used, excluding velocities in regions of turbulence. The maximum velocities
               were located manually in each selected frame from the colored pixels of VFI via the
               point-and-click interface ([Fig. 3]). The final velocity ratio was calculated as the average of the velocity ratios
               from the three frames. If shadowing from a calcified plaque in the superficial vessel
               wall was present, maximum velocities were obtained from either side of the shadow,
               and the velocity obtained distal to the lesion was divided with the velocity obtained
               proximal to the lesion.
            
             Fig. 3 The top image shows the MATLAB processed VFI recording of the stenosis illustrated
                  by the DSA in the lower image (patient 3). The top image represents the part of the
                  vessel shown in the blue box in the lower image with the clinically relevant stenosis
                  in the middle. The color bar to the right of the top image shows the velocity range
                  in cm/s for this specific frame. The color bar is not used for quantitative estimation,
                  only for orientation. The blood flows from left to right. Maximum velocities around
                  25 cm/s are detected in the red area and in the turquoise area to the right of the
                  stenosis velocities around 7 cm/s are detected. The yellow area immediately poststenotic
                  represents the flow jet with a velocity of 13-14 cm/s. These velocities are obtained
                  from a random point in the cardiac cycle where the best possible filling of the vessel
                  is seen without aliasing being present. The marker is not visible in this projection.
                  Fig. 3 The top image shows the MATLAB processed VFI recording of the stenosis illustrated
                  by the DSA in the lower image (patient 3). The top image represents the part of the
                  vessel shown in the blue box in the lower image with the clinically relevant stenosis
                  in the middle. The color bar to the right of the top image shows the velocity range
                  in cm/s for this specific frame. The color bar is not used for quantitative estimation,
                  only for orientation. The blood flows from left to right. Maximum velocities around
                  25 cm/s are detected in the red area and in the turquoise area to the right of the
                  stenosis velocities around 7 cm/s are detected. The yellow area immediately poststenotic
                  represents the flow jet with a velocity of 13-14 cm/s. These velocities are obtained
                  from a random point in the cardiac cycle where the best possible filling of the vessel
                  is seen without aliasing being present. The marker is not visible in this projection.
            
            
            
            Assuming a high level of arterial stiffness due to atherosclerosis throughout the
               SFA, the relationship between the cross-sectional areas in the diseased versus the
               non-diseased vessel segments remains constant during the heart cycle. The relationship
               between the velocities, i. e. the velocity ratio, remains constant too, when the obtained
               velocities are from the same point of the cardiac cycle. With a pulse wave velocity
               of at least 10 m/s [22]
               [23] and a 4 cm linear transducer the region of the vessel covered by the transducer
               is passed in maximum 4 ms. With a frame rate of 15 Hz it is therefore assumed that
               velocities obtained within the same frame are from the same point of the cardiac cycle.
               All velocity ratios were calculated blinded to the estimation of angiographic stenosis
               degree.
            
            Statistical analysis
            
            The correlation of average velocity ratios and angiographic stenosis degree was estimated
               by nonlinear regression analysis. The velocity ratio corresponding to a 50% stenosis
               was calculated. Stenoses>50% and<50% were treated as two different groups, and mean
               velocity ratios including standard deviations were calculated for each group and compared.
               An unpaired t-test was performed and p<0.05 was considered significant. All calculations were performed both with and without
               outliers. To further assess the ability of the velocity ratios to predict stenoses>50%,
               ROC analyses were performed and the AUC was reported. All statistical calculations
               were performed in LibreOffice Calc except ROC analysis, which was done in R (version
               3.3.1).
            Results
            All three calculated velocity ratios, the average velocity ratio, and the angiographic
               stenosis degree (expressed as percentage reduction) of each lesion are shown in [Table 1]. Two lesions are considered outliers. Patient 8 has a velocity ratio of 2.5 and
               a stenosis degree of 11%, and patient 11 has a velocity ratio of 1 and a stenosis
               degree of 67%. The correlation between the average velocity ratios and stenosis degrees
               is illustrated in [Fig. 4] with and without the outliers. Without the outliers, the velocity ratio corresponding
               to a 50% stenosis is 2.1, and with all lesions included the velocity ratio is 2.5.
             Fig. 4 Correlation between average velocity ratios and angiographic diameter reduction expressed
                  as stenosis percentage. The correlation has been illustrated for all data (top) and
                  with the two outliers omitted (bottom). Notice that the ideal correlation line (assuming
                  parabolic flow) starts in (1, 0) with a velocity ratio of 1 when no stenosis is present.
                  The regression lines were generated automatically by LibreOffice Calc.
                  Fig. 4 Correlation between average velocity ratios and angiographic diameter reduction expressed
                  as stenosis percentage. The correlation has been illustrated for all data (top) and
                  with the two outliers omitted (bottom). Notice that the ideal correlation line (assuming
                  parabolic flow) starts in (1, 0) with a velocity ratio of 1 when no stenosis is present.
                  The regression lines were generated automatically by LibreOffice Calc.
            
            
            
               
                  
                     
                     
                        Table 1 Velocity ratios and corresponding stenosis degrees.
                     
                  
                     
                     
                        
                        | Patient number | Lesion number | Lesion type | Velocity ratios | Average velocity ratio | Degree of stenosis (%) | 
                     
                  
                     
                     
                        
                        | 1 | 1 | Stenosis | 2.1, 1.9, 2.7 | 2.2 | 78 | 
                     
                     
                        
                        | 2 | Plaque | 1.1, 0.9, 1.2 | 1.1 | 0 | 
                     
                     
                        
                        | 2 | 1 | Plaque | 0.9, 1, 1 | 1 | 0 | 
                     
                     
                        
                        | 2 | Stenosis | 1.2, 1.2, 1.3 | 1.2 | 19 | 
                     
                     
                        
                        | 3 | 1 | Stenosis | 2.6, 3.6, 2.6 | 2.9 | 68 | 
                     
                     
                        
                        | 4 | 1 | Stenosis | 1.6, 4.4, 1.7 | 2.6 | 65 | 
                     
                     
                        
                        | 5 | 1 | Stenosis | 1.2, 1, 1.3 | 1.2 | 37 | 
                     
                     
                        
                        |  | 2 | Stenosis | 0.7, 0.8, 1.3 | 0.9 | 31 | 
                     
                     
                        
                        | 6 | 1 | Stenosis | 2.4, 1.8, 2.1 | 2.1 | 33 | 
                     
                     
                        
                        | 2 | Stenosis | 1.3, 1.6, 1.5 | 1.5 | 15 | 
                     
                     
                        
                        | 3 | Stenosis | 1, 1.3, 1.2 | 1.2 | 15 | 
                     
                     
                        
                        | 7 | 1 | Stenosis | 2.1, 2.4, 2.1 | 2.2 | 62 | 
                     
                     
                        
                        | 8 | 1 | Stenosis | 1.9, 2.9, 2.8 | 2.5 | 11 | 
                     
                     
                        
                        | 9 | 1 | Stenosis | 1.2, 1, 1.1 | 1.1 | 47 | 
                     
                     
                        
                        | 10 | 1 | Plaque | 1.3, 1.3, 1.2 | 1.3 | 0 | 
                     
                     
                        
                        | 11 | 1 | Stenosis | 1, 1.1, 1 | 1 | 67 | 
                     
               
               
               Velocity ratios based on VFI recordings from each individual lesion and coherent stenosis
                  degree based on angiographic diameter reduction. A plaque is defined as a flow disturbing
                  lesion with no corresponding angiographic diameter reduction.
                
            
            
            With patient 8 and patient 11 excluded from the analysis, the mean velocity ratio
               (based on the average velocity ratios) for an angiographic stenosis degree<50% is
               1.3 (standard deviation (SD) 0.34) and the mean velocity ratio for an angiographic
               stenosis degree>50% is 2.5 (SD 0.34). The difference between the two groups is significant
               (p<0.01). With all patients included in the analysis, the mean velocity ratios for stenosis
               degrees<50% and>50% are 1.4 (SD 0.49) and 2.2 (SD 0.72), respectively. The difference
               is still significant (p=0.02). Based on all patients, the AUC was 0.79 (95% CI: 0.46 to 1) and excluding
               the two outliers the AUC was 0.95 (95% CI: 0.84 to 1).
            In patients 3 and 5 (both lesions), the velocity ratios are based on downstream poststenotic
               velocities, but no significant differences separate them from the remaining ratios
               based on upstream velocities.
            In one case (patient 1, lesion 1) the paper clip marker pointed towards a point approximately
               2 cm from the stenosis, and in the remaining cases it pointed directly towards the
               stenosis.
         Discussion
            To the authors' knowledge, this study is the first to grade arterial stenoses in the
               SFA using vector velocity ultrasound. Even though the patient number is small, the
               obtained velocity ratios of 2.1 (without outliers) and 2.5 (all data) corresponding
               to a 50% stenosis match previous larger studies based on spectral Doppler, and the
               difference between the two patient groups (<50% and>50% stenosis) is statistically
               significant, both with and without the outliers. This is further supported by the
               ROC analysis. The hypothesis of the study is therefore accepted.
            Use of VFI is more intuitive than conventional Doppler as angle-independent velocities
               are provided, thereby making considerations of insonation angle and angle correction
               unnecessary. Moreover, VFI provides quantitative blood flow information for the full
               vector map, thus more flow data are available to assess flow changes. This can potentially
               help physicians diagnose PAD more effectively, spare patients unnecessary examinations,
               and save time in daily clinical practice. Also, it is not necessary to assume where
               in the stenotic vessel the peak velocities are found as it is with spectral Doppler
               when positioning the range gate, as all detected velocities are given within the vector
               map. However, at this stage the off-line analysis of the VFI recordings described
               previously is very time-consuming and takes 60–90 min for each lesion. Further development
               of VFI and implementation of scripts providing all velocities in real-time on the
               scanner is therefore necessary, before the full potential is exploited and daily clinical
               use is realistic.
            The major limitations of this study are the small patient number and the lack of comparison
               to conventional spectral Doppler. VFI was not compared to spectral Doppler as the
               latter is not used in clinical preparations before referral to endovascular interventions
               at our unit. However, in a future larger scale study, both spectral Doppler measurements
               and DSA should be regarded as reference standards.
            The use of VFI in this study is limited by the manual acquisition of all velocities
               via the point-and-click interface in the MATLAB scripts. Subsequently, the number
               of velocity measurements used for each velocity ratio calculation was challenged and
               vulnerable for erroneous measurements, which may explain outlier patient 11 and the
               wide range of velocity ratios for patient 4 reported in [Table 1]. Thus, the process should be automated in future studies.
            VFI is dependent on the PRF, and in a stenotic artery with major velocity fluctuations
               (the velocity increases more than five times when a stenosis exceeds 80% [3]), numerous frames will be affected by either aliasing, when the PRF is set too low,
               or no velocity information, when the PRF is set too high. This further limits the
               number of usable frames from each VFI recording.
            To ensure that the velocities measured with VFI are from the same point in the cardiac
               cycle, the velocities must be obtained within the same frame, limiting the size of
               the region of interest to the width of the transducer. Another limitation of ultrasonic
               grading of stenoses, whether VFI or spectral Doppler, is the 2D visualization of the
               region of interest, which can affect the positioning of the transducer relative to
               the artery, and hence the velocity estimation [24]. Also, the velocity ratios were calculated by one radiologist only, and inter-observer
               variation was therefore not found.
            The presence of calcified plaques in the vessel wall, and difficult visualization
               of the small lumen in a severely atherosclerotic vessel provide other ultrasonic challenges.
               The region of interest can be covered by a shadow, or the maximum velocities are not
               visualized exactly where expected, e. g. in [Fig. 3] where peak velocities apparently are detected immediately proximal to the stenosis
               and not in the stenosis. A possible explanation can be that calcified plaques in the
               vessel wall disturb the flow signal in the stenotic segment, or the flow can be eccentric
               in the stenosis and therefore out-of-plane as described for aortic stenosis [25]
               [26]
               [27]. Another reason could be that the entire stenosis is not visualized sufficiently
               by DSA because of the given anteroposterior image plane. Hence, the stenosis could
               actually also cover the vessel segment corresponding to the red area of the ultrasound
               recording.
            DSA is the gold standard for diagnosing and grading PAD, but is, just as ultrasound,
               a 2D visualization of the vessels, and underestimation of stenoses can therefore occur
               if the smallest diameter of the vessel is not visible in the angiographic projection.
               DSA is occasionally supplemented by oblique projections if doubt about a stenosis
               is raised, but that is no guarantee for a projection illustrating the most severe
               stenosis. Angiographic underestimation of the stenosis could explain outlier patient
               8.
            In conclusion, this study has for the first time characterized atherosclerotic stenoses
               and plaques in the SFA using velocity ratios obtained with a commercially available
               vector velocity ultrasound technique. A velocity ratio of 2.5 has been shown to distinguish
               between stenoses over and under 50% angiographic diameter reduction, and patients
               with clinically relevant stenoses>50% have been identified with statistical significance.
               The technique has potential to be used for monitoring atherosclerotic patients and
               to support the indication of referral to DSA by pointing out and grading potential
               stenoses in advance, thereby avoiding unnecessary angiographies.