Influence of segmented vessel size due to limited imaging resolution on coronary hyperemic flow prediction from arterial crown volume.

Computational predictions of the functional stenosis severity from coronary imaging data use an allometric scaling law to derive hyperemic blood flow (Q) from coronary arterial volume (V), Q = αV(ß) Reliable estimates of α and ß are essential for meaningful flow estimations. We hypothesize that the relation between Q and V depends on imaging resolution. In five canine hearts, fluorescent microspheres were injected into the left anterior descending coronary artery during maximal hyperemia. The coronary arteries of the excised heart were filled with fluorescent cast material, frozen, and processed with an imaging cryomicrotome to yield a three-dimensional representation of the coronary arterial network. The effect of limited image resolution was simulated by assessing scaling law parameters from the virtual arterial network at 11 truncation levels ranging from 50 to 1,000 µm segment radius. Mapped microsphere locations were used to derive the corresponding relative Q using a reference truncation level of 200 µm. The scaling law factor α did not change with truncation level, despite considerable intersubject variability. In contrast, the scaling law exponent ß decreased from 0.79 to 0.55 with increasing truncation radius and was significantly lower for truncation radii above 500 µm vs. 50 µm (P< 0.05). Hyperemic Q was underestimated for vessel truncation above the reference level. In conclusion, flow-crown volume relations confirmed overall power law behavior; however, this relation depends on the terminal vessel radius that can be visualized. The scaling law exponent ß should therefore be adapted to the resolution of the imaging modality.

Perfusion territories subtended by penetrating coronary arteries increase in size and decrease in number toward the subendocardium.

Blood flow distribution within the myocardium and the location and extent of areas at risk in case of coronary artery disease are dependent on the distribution and morphology of intramural vascular crowns. Knowledge of the intramural vasculature is essential in novel multiscale and multiphysics modeling of the heart. For this study, eight canine hearts were analyzed with an imaging cryomicrotome, developed to acquire high-resolution spatial data on three-dimensional vascular structures. The obtained vasculature was skeletonized, and for each penetrating artery starting from the epicardium, the dependent vascular crown was defined. Three-dimensional Voronoi tessellation was applied with the end points of the terminal segments as center points. The centroid of end points in each branch allowed classification of the corresponding perfusion territories in subendocardial, midmyocardial, and subepicardial. Subendocardial regions have relatively few territories of about 0.5 ml in volume having their own penetrating artery at the epicardium, whereas the subepicardium is perfused by a multitude of small perfusion territories, in the order of 0.01 ml. Vascular volume density of small arteries up till 400 µm was 3.2% at the subendocardium territories but only 0.8% in the subepicardium territories. Their higher volume density corresponds to compensation for flow impeding forces by cardiac contraction. These density differences result in different scaling law properties of vascular volume and tissue mass per territory type. This novel three-dimensional quantitative analysis may form the basis for patient-specific computational models on coronary perfusion and aid the interpretation of image-based clinical methods for assessing the transmural perfusion distribution.

Precision and reproducibility of quantitative coronary angiography with applications to controlled clinical trials. A sampling study.

Most computer methods that quantify coronary artery disease from angiograms are designed to analyze frames recorded during the end-diastolic portion of the cardiac cycle. The purpose of this study was to determine if end diastole is the best portion of the cardiac cycle to sample, or if other sampling schemes produce more precise and/or reproducible estimates of coronary disease. 20 cinecoronary angiograms were selected at random from a controlled clinical trial testing the effects of plasma lipid lowering on atherosclerosis. Sampling schemes included sequential and random sampling of two to five frames within the complete cardiac cycle, systole, and diastole. Three vessel measures and percent stenosis were evaluated for each sampling scheme. From the sampling experiment, it was determined that sampling sequentially end diastole yielded the most precise estimates (i.e., exhibiting minimum variability within a cycle) of the vessel measures. With regard to reproducibility (i.e., similar values across cycles), sampling randomly within the cycle was best. Overall, the average diameter of a vessel segment was the most precise and the most reproducible of the measures. Sample size calculations are given for each of these measures under the best sampling scheme.

Variability in measures of coronary lumen dimensions using quantitative coronary angiography.

OBJECTIVES: The purpose of this study was to determine the true total variability of quantitative coronary angiographic measures and their components in the clinical setting. BACKGROUND: Many studies describe quantitative coronary angiographic variability on the basis of repeated quantitative coronary angiographic measures from the same cineangiogram. Although these studies characterize well the performance of quantitative coronary angiographic analysis methods, they do not include other potentially important sources of variability in results of this procedure, such as day to day variations in patients and equipment or variability in selection of frames for analysis. METHODS: Coronary angiograms from 20 patients who underwent diagnostic angiography followed by percutaneous transluminal coronary angioplasty an average of 2.9 days later were reviewed. A total of 30 lesions well visualized in both films were analyzed multiple times using an automated first-derivative edge-detection quantitative coronary angiographic technique. RESULTS: The coefficient of variation for quantitative coronary angiographic measures of the same lesions from separate angiograms ranged from 8.11% to 14.01%. Average diameter was the least variable and percent diameter stenosis the most variable. Day to day variations in the patient, procedure and equipment accounted for an average of 30% of the total variability. Of the remaining variability, only 13.26% was due to variability in frame selection. CONCLUSIONS: These results provide useful information for planning clinical studies using quantitative coronary angiography, identify areas where additional improvements in this technology are needed and define more clearly the applicability of quantitative coronary angiography in the setting of routine clinical practice.

Visualisation of intramural coronary vasculature by an imaging cryomicrotome suggests compartmentalisation of myocardial perfusion areas.

A technique is presented for the 3D visualisation of the coronary arterial tree using an imaging cryomicrotome. After the coronary circulation of the excised heart was filled with a fluorescent plastic, the heart was frozen and mounted in the cryomicrotome. The heart was then sliced serially, with a slice thickness of 40 microm, and digital images were taken from each cutting plane of the remaining bulk material using appropriate excitation and emission filters. Using maximum intensity projections over a series of images in the cutting plane and perpendicular plane, the structural organisation of intramural vessels was visualised in the present study. The branching end in the smallest visible vessels, which define tissue areas that are well delineated from each other by 1-2 mm wide bands populated only by vessels less than 40 microm in diameter. The technique presented here allows further quantification in the future of the 3D structure of the coronary arterial tree by image analysis techniques.

Segmentation of intravascular ultrasound images: a knowledge-based approach.

Intravascular ultrasound imaging of coronary arteries provides important information about coronary lumen, wall, and plaque characteristics. Quantitative studies of coronary atherosclerosis using intravascular ultrasound and manual identification of wall and plaque borders are limited by the need for observers with substantial experience and the tedious nature of manual border detection. We have developed a method for segmentation of intravascular ultrasound images that identifies the internal and external elastic laminae and the plaque-lumen interface. The border detection algorithm was evaluated in a set of 38 intravascular ultrasound images acquired from fresh cadaveric hearts using a 30 MHz imaging catheter. To assess the performance of our border detection method we compared five quantitative measures of arterial anatomy derived from computer-detected borders with measures derived from borders manually defined by expert observers. Computer-detected and observer-defined lumen areas correlated very well (r=0.96, y=1.02x+0.52), as did plaque areas (r=0.95, y=1.07x-0.48), and percent area stenosis (r=0.93, y=0.99x-1.34.) Computer-derived segmental plaque thickness measurements were highly accurate. Our knowledge-based intravascular ultrasound segmentation method shows substantial promise for the quantitative analysis of in vivo intravascular ultrasound image data.

Design and development of an electromechanical ultrasound probe holder for urodynamics testing.

A prevalent difficulty in urodynamics studies employing ultrasonography is associated with the manual application of the imaging transducer to the perineum. We have developed an electromechanically operated device for remote positioning of an ultra-sound probe during voiding studies of the lower urinary tract. The mechanical arm holds the probe inside a funnel that is mounted underneath a modified portable commode on which the patient is seated. External manually operated mechanical slides are used to translate the probe along the three primary axes for initial lateral and vertical positioning. Backwards/forwards and left/right pivoting of the transducer is then accomplished via linear stepper motors that are operated with a hand-held controller. A preliminary evaluation has shown that the device is easy to use, safe, and allows excellent visualization of the bladder outlet and proximal urethra in both male and female patients. The capability to remotely adjust the imaging angle allows the patient to void in a more private setting behind a drawn curtain, thereby minimizing the psychological distress associated with this test and facilitating the acquisition of more physiological test results.

1996 AUR Memorial Award. Densitometric analysis of eccentric vascular stenoses: comparison of CO2 and iodinated contrast media.

RATIONALE AND OBJECTIVES: The authors compared the accuracies of CO2 and iodinated contrast material in the densitometric quantification of eccentric vascular stenoses. METHODS: Five precision-machined eccentric phantom stenoses of 50%, 60%, 70%, 80%, and 90% cross-sectional area narrowing were integrated into a pulsatile ex vivo flow model, imaged with digital subtraction angiography (DSA), and analyzed with densitometry. Relationships between the actual and measured (densitometric) degree of cross-sectional area narrowing were evaluated by using linear regression analysis and paired Student t tests. Comparison measurements were obtained in en face and profile projections. In addition, the effect of iodinated contrast material concentration was evaluated over a range of dilutions (47-282 mg iodine per milliliter). RESULTS: CO2 yielded significantly more accurate results than did iodinated contrast material (282 mg iodine per milliliter) in the 50%, 60%, and 70% stenosis models when imaging was performed en face (P < .005). The best overall correlation was observed with CO2 DSA when imaging in profile (slope = 0.91, intercept = 2.42% actual stenosis, r = .99). The accuracy of densitometric stenosis estimation was inversely related to the concentration of iodinated contrast material. CONCLUSION: CO2 DSA densitometry, under the conditions of these experiments, yields quantitative measures of relative cross-sectional area narrowing that are comparable with, and under some circumstances surpass, those obtained with iodinated contrast material-based DSA. In this model, CO2 was more useful than iodinated contrast material in 50%-70% stenosis when imaging in the least-optimal plane of stenosis quantification, the en face projection.

Computer assessment of hemodynamic severity of coronary artery stenosis from angiograms.

A computer-assisted analysis of coronary obstructions from cineangiograms is presented, which includes both the geometric and hemodynamic evaluation of coronary stenosis severity. Single frame images are digitized into a 512 X 512 X 8 bit array after a cine-to-video conversion. Automatic edge tracking is performed using a combination of derivative and threshold methods. Vessel borders from two orthogonal views of the arterial segment are used to create a three-dimensional reconstruction of the stenosis, which serves as a basis for calculation of absolute and relative geometric dimensions, stenotic resistance and trans-stenotic pressure gradient for various given flow rates. A preliminary performance evaluation of this method was made by analysis of x-ray phantoms representing stenoses of known dimensions, which were filmed under quasi-clinical conditions. The results are discussed with respect to their accuracy and reproducibility.

Role of plaque inflammation in acute and recurrent coronary syndromes.

Inflammation plays an important role in the initiation, development, progression and complications of atherosclerotic vascular disease. Our present knowledge of the elementary role of inflammation for the onset of plaque rupture in atherosclerotic coronary lesions primarily stems from autopsy studies. However, the introduction of directional coronary atherectomy catheters has provided a unique opportunity to directly investigate the role of inflammation in coronary syndromes. In this report we describe the role of coronary plaque inflammation, as determined by immunohistochemistry, on the presentation of coronary syndromes and on the clinical outcome following percutaneous interventions.

A novel porous mechanical framework for modelling the interaction between coronary perfusion and myocardial mechanics.

The strong coupling between the flow in coronary vessels and the mechanical deformation of the myocardial tissue is a central feature of cardiac physiology and must therefore be accounted for by models of coronary perfusion. Currently available geometrically explicit vascular models fail to capture this interaction satisfactorily, are numerically intractable for whole organ simulations, and are difficult to parameterise in human contexts. To address these issues, in this study, a finite element formulation of an incompressible, poroelastic model of myocardial perfusion is presented. Using high-resolution ex vivo imaging data of the coronary tree, the permeability tensors of the porous medium were mapped onto a mesh of the corresponding left ventricular geometry. The resultant tensor field characterises not only the distinct perfusion regions that are observed in experimental data, but also the wide range of vascular length scales present in the coronary tree, through a multi-compartment porous model. Finite deformation mechanics are solved using a macroscopic constitutive law that defines the coupling between the fluid and solid phases of the porous medium. Results are presented for the perfusion of the left ventricle under passive inflation that show wall-stiffening associated with perfusion, and that show the significance of a non-hierarchical multi-compartment model within a particular perfusion territory.

Comparison of phase-contrast MR imaging and endovascular sonography for intracranial blood flow velocity measurements.

BACKGROUND AND PURPOSE: Local hemodynamic information may help to stratify rupture risk of cerebral aneurysms. Patient-specific modeling of cerebral hemodynamics requires accurate data on BFV in perianeurysmal arteries as boundary conditions for CFD. The aim was to compare the BFV measured with PC-MR imaging with that obtained by using intra-arterial Doppler sonography and to determine interpatient variation in intracranial BFV. MATERIALS AND METHODS: In 10 patients with unruptured intracranial aneurysms, BFV was measured in the cavernous ICA with PC-MR imaging in conscious patients before treatment, and measured by using an intra-arterial Doppler sonography wire when the patient was anesthetized with either propofol (6 patients) or sevoflurane (4 patients). RESULTS: Both techniques identified a pulsatile blood flow pattern in cerebral arteries. PSV differed >50 cm/s between patients. A mean velocity of 41.3 cm/s (95% CI, 39.3-43.3) was measured with PC-MR imaging. With intra-arterial Doppler sonography, a mean velocity of 29.3 cm/s (95% CI, 25.8-32.8) was measured with the patient under propofol-based intravenous anesthesia. In patients under sevoflurane-based inhaled anesthesia, a mean velocity of 44.9 cm/s (95% CI, 40.6-49.3) was measured. CONCLUSIONS: We showed large differences in BFV between patients, emphasizing the importance of using patient-specific hemodynamic boundary conditions in CFD. PC-MR imaging measurements of BFV in conscious patients were comparable with those obtained with the intra-arterial Doppler sonography when the patient was anesthetized with a sevoflurane-based inhaled anesthetic.

Intracranial blood-flow velocity and pressure measurements using an intra-arterial dual-sensor guidewire.

Hemodynamics is thought to play a role in the growth and rupture of intracranial aneurysms. In 4 patients, we obtained local pressure and BFV by using a dual-sensor pressure and Doppler velocity wire within and in vessels surrounding unruptured aneurysms. Local BFVs can serve as boundary conditions for computational fluid dynamics, whereas pressure recordings provide direct information on the mechanical load imposed on the aneurysm. Both measurements may thus add to patient-specific rupture-risk assessment.

Sources of error in quantitative coronary angiography.

Many studies have reported the accuracy of quantitative coronary angiography (QCA) based on experiments using moderated-size phantoms imaged under unrealistic radiographic conditions. However, these observations may not be generalizable to the setting of clinical angiography. To determine QCA accuracy in a realistic radiographic setting and evaluate the impact of the x-ray system line spread function, plexiglass phantoms were imaged inside and out of a human thorax. A realistic radiographic background was associated with a 38% increase in variability of results (p < 0.05). Low concentrations of contrast and large image intensifier input screens were associated with significantly larger errors and variability in results (p < 0.05). There was a systematic overestimation of diameter in the smallest phantom. A mathematical model of the x-ray line spread function was developed that explains the observed overestimation of the smallest phantom and provide a rational approach for correction of the line spread function for QCA. Many factors encountered in clinical coronary angiography such as nonuniform radiographic background, low concentrations of contrast, and small vessel diameters have a significant adverse impact on the accuracy and/or variability of gradient-based edge detection QCA systems.

[Percutaneous transluminal angioplasty of coronary bypass vessels. Quantitative findings and long-term results]. / Perkutane transluminale Angioplastie von koronaren Bypass-Gefässen. Quantitative Erfassung und Langzeitergebnisse.

Computer-assisted quantitative angiographic analysis was undertaken of 17 stenoses in aortocoronary bypass vessels in 14 patients. Angioplasty was successful in 13 of 17 haemodynamically significant bypass stenoses, with a reduction in the degree of stenosis (cross-sectional reduction) from 82 +/- 9% to 44 +/- 9% (P less than 0.001) and a significant reduction in flow-related stenosis resistance. This method revealed significant bypass restenoses in 38% within 9 +/- 6 months, successfully treated by a second angioplasty. These patients make up a group which--in contrast to the natural progression of vascular sclerosis--is characterized by an early development of bypass stenoses and restenoses. Transluminal angioplasty after stenoses and restenoses in bypass vessels is an effective and safe alternative to reoperation.

Fluid dynamics of a partially collapsible stenosis in a flow model of the coronary circulation.

The influence of passive vasomotion on the pressure drop-flow (delta P-Q) characteristics of a partially compliant stenosis was studied in an in vitro model of the coronary circulation. Twelve stenosis models of different severities (50 to 90 percent area reduction) and degrees of flexible wall (0 to 1/2 of the wall circumference) were inserted into thin-walled latex tubing and pressure and flow data were collected during simulated cardiac cycles. In general, the pressure drop increased with increasing fraction of flexible wall for a given flow rate and stenosis severity. The magnitude of this effect was directly dependent upon the underlying stenosis severity. The diastolic delta P-Q relationship of severe, compliant models exhibited features of partial collapse with an increase in pressure drop at a decreasing flow rate. It is concluded that passive vasomotion of a normal wall segment at an eccentric stenosis in response to periodic changes in intraluminal pressure causes dimensional changes in the residual lumen area which can strongly affect the hemodynamic characteristics of the stenosis during the cardiac cycle. This mechanism may have important implications for the onset of plaque fracture and the prediction of the functional significance of a coronary stenosis based on quantitative angiogram analysis.

[Hemodynamics of coronary stenoses]. / Hämodynamik von Koronarstenosen.

Under physiological conditions the resistance component of large epicardial coronary branches is very small in relation to total coronary resistance and can be neglected. The pressure losses across minor stenoses can be compensated by a decrease of resistance in the more peripheral coronary bed (autoregulation). This compensatory mechanism is limited to luminal obstructions less than 85%. Above this limit, when collateral vessels are not available, perfusion of the periphery becomes a function of the flow across the stenosis. As a consequence coronary reserve becomes abolished with an increasing obstruction. Coronary reserve describes an increase of coronary flow up to a factor of five, which, under normal conditions, is induced by dilation of resistors (arterioles) in the coronary bed. After exhaustion of coronary reserve the hemodynamic impact of a vascular narrowing can be expressed as the pressure loss across a coronary lesion (delta p). delta p is composed of viscous losses (AV) that are in linear relation to flow and inertial components that are related to the square of flow (B). Accordingly pressure loss across a stenosis can be expressed in a general form as delta p = AV X Q + B X Q2. In vitro data show that an approximation of delta p can be calculated on the basis of stenosis geometry including normal and minimal diameter, length, angle of entrance and exit, velocity of flow, viscosity and density of blood. Pressure losses across a stenosis can be divided in three components: the entrance, the narrow part, and the exit. Turbulence arises at the exit. This fact leads to a variable interaction of consecutive vascular lesions.(ABSTRACT TRUNCATED AT 250 WORDS)

Quantitative angiographic assessment of coronary stenoses: problems and pitfalls.

A precondition for quantitative angiography is strict standardization of all geometric parameters, i.e., position of the patient and radiation-source-object-image geometry. Correction for respiratory and cardiac cycles is equally important. When all these variables are controlled, the absolute size of a vessel can be a major source of error, since border recognition becomes progressively difficult with decreasing vascular diameter. Finally, contrast density, independent of vascular geometry, will induce errors by virtual magnification of minimal diameters. The results in this paper show the influences of image intensifier position, angulation of the imaging device, and contrast concentration on the geometry of model coronary stenoses when evaluated with computer-assisted quantitative methods. Increase of object-image intensifier distance led to an underestimation of size which increased with decreasing vascular diameter. Decrease in contrast concentration led to a significant overestimation of actual size, up to 20% (p less than 0.05). This effect could be confirmed in human coronary arteriograms (n = 11, p less than 0.05). In conclusion, realistic contrast-perfused calibration devices will have to be developed to replace wire or plaster models in order to control systemic errors that may impede the measurement of absolute vascular size.

Role of variability in microvascular resistance on fractional flow reserve and coronary blood flow velocity reserve in intermediate coronary lesions.

BACKGROUND: Fractional flow reserve (FFR) and coronary blood flow velocity reserve (CFR) represent physiological quantities used to evaluate coronary lesion severity and to make clinical decisions. A comparison between the outcomes of both diagnostic techniques has not been performed in a large cohort of patients with intermediate coronary lesions. METHODS AND RESULTS: FFR and CFR were assessed in 126 consecutive patients with 150 intermediate coronary lesions (between 40% and 70% diameter stenosis by visual assessment). Agreement between outcomes of FFR and CFR, categorized at cut-off values of 0.75 and 2.0, respectively, was observed in 109 coronary lesions (73%), whereas discordant outcomes were present in 41 lesions (27%). In 26 of these 41 lesions, FFR was <0.75 and CFR>or=2.0 (group A); in the remaining 15 lesions, FFR was >or=0.75 and CFR<2.0 (group B). Minimum microvascular resistance, defined as the ratio of mean distal pressure to average peak blood flow velocity during maximum hyperemia, showed a large variability (overall range, 0.65 to 4.64 mm Hg x cm(-1) x s(-1)) and was significantly higher in group B than in group A (2.42+/-0.77 versus 1.91+/-0.70 mm Hg x cm(-1) x s(-1); P:=0.034). CONCLUSIONS: Our findings demonstrate the prominent role of microvascular resistance in modulating the relationship between FFR and CFR and emphasize the importance of combined pressure and flow velocity measurements to evaluate coronary lesion severity and microvascular involvement.