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Published online before print March 14, 2002, 10.1148/radiol.2232010673
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(Radiology 2002;223:361-370.)
© RSNA, 2002


Neuroradiology

Which MR-derived Perfusion Parameters are the Best Predictors of Infarct Growth in Hyperacute Stroke? Comparative Study between Relative and Quantitative Measurements1

Cécile B. Grandin, MD, PhD, Thierry P. Duprez, MD, Anne M. Smith, PhD, Catherine Oppenheim, MD, André Peeters, MD, Annie R. Robert, PhD and Guy Cosnard, MD

1 From the Department of Medical Imaging, MRI Section (C.B.G., T.P.D., A.M.S., G.C.) and the Unit of Neurology (A.P.), Cliniques Universitaires St Luc, Université Catholique de Louvain, 10 Avenue Hippocrate, B-1200 Brussels, Belgium; Epidemiology Unit, Université Catholique de Louvain, Brussels, Belgium (A.R.R.); and Department of Neuroradiology, GH Pitié-Salpêtrière, Paris, France (C.O.). Received March 28, 2001; revision requested May 7; revision received August 20; accepted September 20. Address correspondence to C.B.G. (e-mail: grandin@rdgn.ucl.ac.be).


    ABSTRACT
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
PURPOSE: To compare predictors of infarct growth in hyperacute stroke from a retrospective review of various relative and quantitative parameters calculated at perfusion-weighted magnetic resonance (MR) imaging performed within 6 hours after ictus.

MATERIALS AND METHODS: Fluid-attenuated inversion recovery and diffusion- and perfusion-weighted images were obtained in 66 patients. The initial infarct was delineated on diffusion-weighted images; the hemodynamic disturbance, on apparent mean transit time (MTT) maps; and the final infarct, on follow-up fluid-attenuated inversion recovery images. Relative (without and with deconvolution) and quantitative values of the bolus arrival time, time to peak (TTP), apparent MTT or MTT, cerebral blood volume (CBV), peak height, and cerebral blood flow (CBF) index or CBF were calculated for initial infarct, infarct growth (final minus initial infarct contour), viable hemodynamic disturbance (apparent MTT minus final infarct contour), and contralateral mirror regions. Univariate and multivariate analyses (receiver operating characteristic curves and discriminant analysis) were performed to compare the diagnostic performance of these parameters for predicting infarct growth.

RESULTS: At univariate analysis, relative peak height and quantitative CBF were the best predictors of infarct growth; at multivariate analysis, a function of peak height and TTP for relative measurements and CBF alone for quantitative measurements. Quantitative and relative measurements (without or with deconvolution) worked equally well. A combined relative peak height or TTP threshold (<54% or >5.2 seconds, respectively) had a sensitivity of 71% and a specificity of 98%. A quantitative CBF threshold (<35 mL/min/100 g) had a sensitivity of 69% and a specificity of 85%.

CONCLUSION: A combination of relative peak height and TTP measurements allowed the best prediction of infarct growth, which obviates more complex quantitative calculation.

© RSNA, 2002

Index terms: Brain, hemorrhage, 13.782 • Brain, infarction, 13.78 • Brain, ischemia, 13.781 • Brain, MR, 13.121411, 13.121412, 13.121413, 13.121416, 13.12143, 13.12144 • Magnetic resonance (MR), diffusion study, 13.12144 • Magnetic resonance (MR), perfusion study, 13.12144


    INTRODUCTION
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
The target of acute stroke therapy is that portion of the brain tissue that is ischemic and contributes to the neurologic deficit but is still viable and salvageable if appropriate blood flow is rapidly restored (13). The National Institute of Neurologic Disorder and the rt-PA Stroke Study Group (4) reported a benefit of thrombolysis within 3 hours after stroke onset. This very narrow therapeutic window relies on the notion that salvageable ischemic tissue at risk for infarction (also called penumbral tissue) is very transient and rapidly deteriorates with time, while the risk of hemorrhage within the infarcted tissue increases (4,5). However, depending on the effectiveness of collateral vessels, such tissue may persist as long as 17 hours after stroke onset in some patients or, inversely, may be irreversibly damaged within a few minutes after the arterial occlusion (5,6). Therefore, thrombolytic therapy should be individually tailored; however, the identification of the penumbral tissue remains challenging in patients with hyperacute stroke (5,7,8).

It has been proposed that the mismatch between the abnormal area identified on diffusion-weighted images (believed to represent the irreversible ischemic core) and the area of hemodymamic disturbance identified on perfusion-weighted images (diffusion-perfusion mismatch) represents the ischemic penumbra (2,3,811). More recently, it has been shown that the region of diffusion-perfusion mismatch probably causes overestimation of the penumbra (1216). It is therefore crucial to quantify the importance of the perfusion deficit within the diffusion-perfusion mismatch area to distinguish the real area at risk for infarction from the oligemic tissue in which blood flow is greater than the critical viability threshold and that does not constitute a target for thrombolysis (1417). In most studies, relative measurements (ratio or difference between the abnormal area and the contralateral normal area) have been performed. Different parameters, such as the relative cerebral blood flow (CBF), the initial or total relative cerebral blood volume (CBV), the relative mean transit time (MTT), or the time to peak (TTP), which were derived from the signal intensity versus time curve obtained from perfusion-weighted images, have been used (1114,18). Until now, no consensus was made about the best parameter or the combination of parameters that should be used to identify the ischemically threatened but viable area (19). Recently, it has been shown that quantitative perfusion parameters calculated in absolute units could be obtained, and absolute CBF or CBV thresholds have been proposed to predict the area of infarct growth (16). However, the superiority of quantitative measurements over relative measurements has never been demonstrated.

The aim of our study was to compare predictors of infarct growth in hyperacute stroke on the basis of a retrospective review of various relative and quantitative parameters calculated from perfusion-weighted data obtained within 6 hours of symptom onset. We focused on the identification of infarct growth with perfusion-weighted imaging because, as proposed by Schlaug et al (12), infarct growth may be considered as an operational definition of the penumbra that can be used to retrospectively identify the area at risk for infarction and is therefore the main target of stroke therapy.


    MATERIALS AND METHODS
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
Study Population
Sixty-six consecutive patients (41 men and 25 women; age range, 34–91 years; mean age, 69 years) were selected from our database of 139 patients who presented at our hospital from January 1998 through March 2000 with a sudden focal neurologic deficit that suggested a stroke and who underwent magnetic resonance (MR) imaging within 6 hours after symptom onset. All patients without any exclusion criteria were included in this study. The exclusion criteria were hemorrhage (n = 10), tumor (n = 1), no acute ischemic lesion on follow-up MR images (n = 20), incomplete or different MR imaging protocol (n = 22), archiving problem (n = 3), image artifacts (motion, ferromagnetic material, or technical problem, n = 6), poor bolus of the contrast agent for the perfusion study (n = 2), and thrombolytic therapy (n = 9). All patients were treated with a similar regimen that consisted of arterial blood pressure control and administration of 300 mg of acetylsalicylic acid per day. Age, European Stroke Scale at admission, delay between symptom onset and initial imaging, delay to follow-up imaging, and vascular territory involved in the stroke were recorded. Our institutional review board did not require its approval or informed consent for this study.

MR Imaging Protocol
According to the guidelines of our institution, patients with symptoms consistent with hyperacute stroke did not undergo computed tomography (CT) but were directly considered for MR imaging, which was part of the regular diagnostic evaluation. At the hyperacute phase, the MR imaging protocol included a sagittal gradient-echo T1-weighted sequence, a transverse fast fluid-attenuated inversion-recovery sequence, a three-dimensional time-of-flight MR angiographic sequence in intracranial arteries, and transverse diffusion- and bolus tracking perfusion-weighted sequences. Follow-up MR imaging performed 24 hours (median [25% quartile, 24; 75% quartile, 50]) after the first examination consisted of a sagittal gradient-echo T1-weighted sequence, followed by transverse fast fluid-attenuated inversion-recovery sequence. All images were acquired at 1.5 T (Signa Echospeed; GE Medical Systems, Milwaukee, Wis). Only fluid-attenuated inversion-recovery diffusion- and perfusion-weighted sequences were used in this study, and all images were acquired in the bicomissural plane with 5-mm section thickness, 0.5-mm section gap, 24 x 24-cm field of view, and 24 sections per volume, which enabled whole-brain coverage. The acquisition parameters for the fast fluid-attenuated inversion-recovery sequence were a repetition time msec/echo time msec/inversion time msec of 10,002/148/2,200, matrix of 256 x 160, and acquisition time of 6 minutes. A T2-weighted reference volume image (b factor of 0 sec/mm2) and diffusion-weighted images were acquired with a single-shot echo-planar spin-echo sequence (4,500/95; matrix, 96 x 64; acquisition time, 32 seconds). The diffusion-weighted trace volume was calculated from three diffusion-weighted images, with the diffusion gradients sequentially applied along each of the x, y, and z directions and with a b factor of 1,000 sec/mm2, the duration of each diffusion gradient {delta} of 32 msec, the time between the leading edge of the two diffusion gradients {Delta} of 39 msec, and the amplitude of the diffusion gradients G of 22 mT/m. The perfusion-weighted images were acquired by using the dynamic first-pass bolus tracking method and a single-shot echo-planar gradient-echo sequence (2,300/30; matrix, 96 x 64) either at the same time or a few seconds after beginning contrast material injection. A dose of 0.1 mmol per kilogram of body weight of gadopentetate dimeglumine (Magnevist; Schering, Berlin, Germany) was injected at a rate of 10 mL/sec into a peripheral vein through an 18-gauge catheter with an MR-compatible power injector (Spectris; Medrad, Pittsburgh, Pa), followed by a 30-mL saline flush. The sequence duration was 46 seconds, and 20 brain volumes were acquired.

Data Processing
All images were transferred to an independent workstation (Sun Ultra 1/200; Sun Microsystems, Mountain View, Calif) for further processing by using custom-made programs written in C or IDL computer language (Research System, Boulder, Colo) (20).

Perfusion maps.—The MR signal intensity was converted to the relative concentration of gadolinium-based contrast agent, and the computer calculated the gamma variate function that fitted optimally the concentration versus time curves measured in each individual voxel without smoothing. From the fitted curves, six parameters were calculated to create parametric maps: the bolus arrival time, the TTP, the first moment of the curve corresponding to the apparent MTT, the area under the curve corresponding to the relative CBV, the peak height of the curve, and the CBF index obtained by dividing relative CBV by apparent MTT.

Regions of interest.—All images were spatially coregistered to the first volume of the perfusion-weighted sequence (20). Two neuroradiologists (C.B.G., T.P.D.), blinded to other images and clinical symptoms, independently drew three-dimensional regions of interest (ROIs) by means of manual contouring. The contours defined the initial infarct (ischemic core, whole bright area on diffusion-weighted images) and the hemodynamically disturbed area (whole area of prolonged apparent MTT on apparent MTT maps), which provided two sets of ROIs for each patient. The diffusion-weighted images were chosen to contour the initial infarct because of the better contrast between abnormal and normal brain tissue compared with apparent diffusion coefficient maps (4,12,16). To avoid potential misinterpretation due to a residual T2 shine-through effect, images obtained with a b factor of 0 sec/mm2 were available for comparison. Similarly, apparent MTT maps were chosen to delineate perfusion abnormalities because, as opposed to relative CBV and CBF index, this parameter is homogeneous throughout the whole healthy brain and is highly sensitive in the detection of hemodynamic disturbance, providing an excellent contrast between normal and abnormal areas (3,12,13,16,20). The follow-up fluid-attenuated inversion-recovery images were used to define the final infarct (16).

A consensus was established between the two neuroradiologists to draw a unique ROI that delineated the abnormal bright area corresponding to the acute stroke, and the initial diffusion-weighted and fluid-attenuated inversion-recovery images were available for comparison. In the case of large infarct, the vasogenic edema artificially increased the final infarct volume, which collapsed the ventricles and displaced the sulci. In these cases, the ROI was redrawn with consensus. The initial fluid-attenuated inversion-recovery images were used as reference to evaluate the displacement of anatomic structures so that the redrawn ROI corresponded to the same anatomic area as the initial ROI but without swelling. For all ROIs, the software generated a mirror ROI that was placed in normal contralateral regions. Finally, three areas and their contralateral mirror ROIs were considered: (a) the ischemic core (initial infarct); (b) the area of infarct growth that corresponded to the final minus the initial infarct contours; and (c) the area of viable hemodynamic disturbance, which corresponded to the apparent MTT minus the final infarct contours (16).

Calculation of perfusion parameters.—Several parameters were measured in initial infarct, infarct growth, area of viable hemodynamic disturbance, and the contralateral mirror ROIs. To minimize errors related to imprecise coregistration and contouring, the perfusion parameters were calculated only in ROIs that were larger than 1 cm3 in initial infarct and in ROIs that were larger than 2 cm3 in areas obtained by means of subtraction (infarct growth and area of viable hemodynamic disturbance). Therefore, data from 58 initial infarcts, 17 infarct growths, and 47 areas of viable hemodynamic disturbance were obtained. The perfusion parameters calculated from the original tissue curves were referred to as nonquantitative because, by themselves, their value did not correspond to any meaningful physiologic quantity. The nonquantitative parameters (bolus arrival time, TTP, apparent MTT, relative CBV, peak height, and CBF index) were obtained from the fitted tissue curve that resulted from averaging of the voxels contained in each ROI. The perfusion parameters that were calculated after the deconvolution procedure were referred to as quantitative because they corresponded to physiologic parameters that could eventually be quantified in absolute units. The method for calculating quantitative parameters has been explained in detail previously (20,21).

A custom-made interactive software allowed us to select the optimal arterial input function (AIF) from the intracranial arteries (20,21). For each patient, the AIF was determined independently by the two neuroradiologists and was used for the calculation of quantitative parameters in their own ROIs. The mean fitted tissue curve of each ROI was deconvolved with the AIF by using a Fourier transform method. By applying the central volume principle, the CBV (in percentage) was calculated by the equation

, where Cm(t) is the measured tissue curve in the ROI, CAIF(t) is the AIF curve, and K is a constant that takes into account the density of the brain tissue and the difference in hematocrit between capillaries and large vessels. The CBF (milliliters per minute per 100 grams) was calculated by the equation

, where C(t) is the deconvolved tissue curve and Cmax is the maximum of this deconvolved curve. The MTT (in seconds) was calculated as CBV divided by CBF. The bolus arrival time and TTP (in seconds) were calculated in reference to the peak of the AIF and therefore allowed negative values for bolus arrival time.

Three types of measurements were obtained: (a) relative values calculated from nonquantitative measurements as the ratio (in percentage) between the abnormal area and its normal mirror ROI for relative CBV, peak height, and CBF index and as the difference (in seconds) between the abnormal area and its normal mirror ROI for bolus arrival time, TTP, and apparent MTT; (b) relative values (ratios or differences between the abnormal areas and their contralateral normal mirror ROI) calculated from quantitative measurements, which means that the data had been deconvolved by the AIF but with no attempt to obtain absolute quantification; and (c) quantitative values calculated in absolute units.

Statistical analyses.—The reported volumes and perfusion parameters corresponded to the average of the values obtained by the two neuroradiologists. All statistical tests were two tailed, and the level of significance of differences was a P value of .05. For each variable within each group, normality was tested by using the Kolmogorov-Smirnov test and the normal probability plot. For the measurement of volumes and follow-up delay, the distribution was highly asymmetric. Therefore, these data were reported as median, 25% quartile, and 75% quartile, and nonparametric Kruskal-Wallis with Dunn post hoc tests were used for comparisons between groups. For all other variables, the normality was not rejected. Therefore, these data were reported as mean ± SD, and parametric tests were used.

One-way analysis of variance with Student-Newman-Keuls post hoc tests was used to compare the age, the European stroke scale, and the delay from onset between groups. The perfusion parameters measured in initial infarct, infarct growth, and area of viable hemodynamic disturbance were compared two by two by using the Student t test with a Bonferroni corrected significance level for multiple comparisons. Linear regressions were performed to assess the relationship between perfusion parameters, and r2 values were reported. The ability to discriminate infarct growth from area of viable hemodynamic disturbance was evaluated by using receiver operating characteristic curve analysis. The performance of each perfusion parameter was determined by comparing the areas under the curves with Wilcoxon statistics. The optimal cutoff was chosen as the value that resulted in the highest possible sensitivity and specificity (maximal Youden index defined as sensitivity plus specificity minus 1). Other thresholds that represented a high sensibility, a high specificity, and a compromise between sensitivity and specificity were also reported. Finally, a multivariate forward stepwise linear discriminant analysis with F tests was performed to determine the best cutoff function able to differentiate infarct growth from area of viable hemodynamic disturbance for each type of measurement (relative nonquantitative measurement, relative quantitative measurement, and quantitative measurement).


    RESULTS
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
Characteristics of the Study Population
According to the evolution of the infarct volume at follow-up, three groups of patients were identified: those with increased infarct (n = 18), those with stable infarct (n = 43), or those with decreased infarct (n = 5) (Table 1). The age, the European stroke scale, the delay from symptom onset, and the delay to follow-up imaging did not differ among the three groups. The risk of infarct growth was greater with large infarct size at presentation. The initial and final infarct volumes were significantly (at least P < .05) larger in the group with an infarct increase (median, 53 and 61 cm3, respectively) as compared with the group with a stable infarct (median, 4.3 and 4.7 cm3, respectively) and the group with an infarct decrease (median, 7.1 and 2.3 cm3, respectively). A diffusion-apparent MTT mismatch was observed in all patients who presented with an extension of the ischemic core greater than 1 cm3 and also in 60% of patients with a stable infarct and in 80% of patients with an infarct decrease. The infarct decrease always occurred in areas that were slightly hyperintense on diffusion-weighted images and was always small (<5 cm3), except in one patient (decrease of 9 cm3) who experienced a spontaneous recanalization of the occluded middle cerebral artery. The absence of diffusion-apparent MTT mismatch predicted the absence of infarct growth but, when present, the volume of diffusion-apparent MTT mismatch did not differ among the groups and did not allow us to predict the infarct evolution.


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TABLE 1. Characteristics of the Study Population

 
Perfusion Parameters
Table 2 displays the mean values (± SD) of the perfusion parameters calculated in initial infarct, infarct growth, area of viable hemodynamic disturbance and, for Table 2C, the corresponding contralateral normal mirror ROI. It was not possible to quantify the perfusion in one patient because a reliable measure of the AIF could not be obtained (the AIF had a double peak, and the patient had atrial fibrillation and mitral regurgitation). Only quantitative CBV was significantly different between the three abnormal areas. The parameters that enabled us to distinguish infarct growth from an area of viable hemodynamic disturbance were: TTP, apparent MTT, CBF index, and peak height for relative nonquantitative measurements; TTP, MTT, and CBF for relative quantitative measurement; and CBV and CBF for quantitative measurement. An example of the perfusion values obtained in a patient with an infarct growth is given in Figure 1. None of the measured perfusion parameters were able to help predict a reversibility of the ischemia in initial infarct.


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TABLE 2. Mean Values (±SD) of Perfusion Parameters Calculated in Areas Corresponding to Initial Infarct, Infarct Growth, Viable Hemodynamic Disturbance, and in Corresponding Contralateral Normal Mirror Areas

 


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Figure 1. Perfusion maps obtained in a 79-year-old man at 4 hours after the onset of left hemiparesis and at 3 days later. Top row: The six nonquantitative perfusion maps generated with our software are bolus arrival time (BAT), TTP, apparent MTT (apMTT), relative CBV (rCBV), CBF index (CBFi), and peak height (MAX). Bottom row: The volume of hemodynamic disturbance (white ROI on apparent MTT map) was larger than the ischemic core (initial infarct, green ROI on the diffusion-weighted image [DWI]), and the infarct grew. On the follow-up fluid-attenuated inversion-recovery (FLAIR) image, the edema partially collapsed the ventricle; to correct for this effect, the yellow ROI contouring the final infarct was modified, as shown by the red ROI. The area of infarct growth was defined as the red ROI minus the green ROI; and the area of viable hemodynamic disturbance, as the white ROI minus the red ROI. Compared with normal mirror areas (blue ROIs), the relative peak height (ratio in percentage) was 18, 64, and 69, and the relative TTP (difference in seconds) was 15.5, 8.2, and 5.3 in initial infarct, infarct growth, and area of viable hemodynamic disturbance, respectively. The quantitative CBF was 7.3, 26, 34, and 49 mL/min/100 g in initial infarct, infarct growth, area of viable hemodynamic disturbance, and mirror ROIs, respectively. In this example, infarct growth was correctly identified with the three parameters. However, it was difficult to predict if the area of viable hemodynamic disturbance would remain viable: Peak height correctly helped predict viability, but the TTP and CBF values were slightly less than the thresholds proposed in this study.

 
Prediction of Infarct Growth: Univariate Analysis
The areas under the receiver operating characteristic curve calculated to differentiate infarct growth from areas of viable hemodynamic disturbance in the diffusion-apparent MTT mismatch region are displayed in Table 3. In Table 4, chosen predictive thresholds are reported with their sensitivity and specificity. The most accurate parameters for identifying infarct growth were peak height for relative nonquantitative measurement (sensitivity of 65% and specificity of 92% for a threshold <64%), CBF for relative quantitative measurement (sensitivity of 69% and specificity of 89% for a threshold <58%), and CBF for quantitative measurement (sensitivity of 69% and specificity of 85% for a threshold <35 mL/min/100 g). The Youden index obtained with these parameters was similar, which means that relative and quantitative measurements worked equally well for predicting infarct growth.


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TABLE 3. Areas under Receiver Operating Characteristic Curves Established to Discriminate Area of Infarct Growth from Area of Viable Hemodynamic Disturbance in the Diffusion-Perfusion Mismatch Region

 

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TABLE 4. Perfusion Parameter Thresholds to Predict Area of Infarct Growth in the Diffusion-Perfusion Mismatch Region

 
In clinical practice, the optimal thresholds could differ from those giving the highest Youden index, depending if a high sensitivity (important to avoid false-negative findings) or a high specificity (important to avoid false-positive findings) is desirable. Therefore, additional thresholds representing either high sensitivity or high specificity can be found in Table 4. The parameters that were significantly less accurate for predicting infarct growth were bolus arrival time and relative CBV for relative nonquantitative and relative quantitative measurements and bolus arrival time and MTT for quantitative measurement.

Prediction of Infarct Growth: Multivariate Analysis
As shown in Table 4, simply combining two parameters increased the Youden index slightly for infarct growth prediction. With relative nonquantitative measurements, a combination of peak height and TTP (<54% for peak height or >5.2 seconds for TTP) had a sensitivity of 71% and a specificity of 98%. With relative quantitative measurement, a combination of CBF and TTP (<51% for CBF or >4.7 seconds for TTP) had a sensitivity of 81% and a specificity of 89%. With quantitative measurement, a combination of CBF and CBV (<35 mL/min/100 g for CBF or <8.1% for CBV) had a sensitivity of 81% and specificity of 76%. Similarly, the linear stepwise discriminant analysis led to a decision rule based on a cutoff function that separated infarct growth and area of viable hemodynamic disturbance significantly better than did the univariate diagnostic rule. This function included two parameters: peak height and TTP with relative nonquantitative measurement (sensitivity, 88%; specificity, 66%) and CBF and TTP with relative quantitative measurement (sensitivity, 63%; specificity, 94%). With quantitative measurement, no better diagnostic rule was obtained with the linear discriminant analysis as compared with the univariate model based on CBF (or CBV) alone. Therefore, no cutoff function was given for quantitative measurement. Figure 2 illustrates the scatter of relative quantitative measurement and quantitative measurement. The best combined thresholds are indicated with horizontal and vertical lines and the cutoff function, with the oblique line.



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Figure 2a. Scatterplots of perfusion parameters measured in the area of infarct growth ({bullet}) and the area of viable hemodynamic disturbance ({triangleup}). (a) Peak height ratio between abnormal and normal mirror ROIs (relative nonquantitative measurement of peak height [RelNQ MAX]) versus time-to-peak difference between abnormal and normal mirror ROIs (relative nonquantitative measurement [RelNQ] of TTP). The orthogonal lines represent the simple combined thresholds for the optimal identification of infarct growth (sensitivity, 71%; specificity, 98%). The oblique line represents the best discriminant function f (TTP and peak height) = 0.591 x TTP - 4.54 x peak height + 0.951 (sensitivity, 88%; specificity, 66% when f = -0.5). (b) CBF versus CBV. The orthogonal lines represent the simple combined thresholds for the best identification of infarct growth (sensitivity, 81%; specificity, 76%).

 


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Figure 2b. Scatterplots of perfusion parameters measured in the area of infarct growth ({bullet}) and the area of viable hemodynamic disturbance ({triangleup}). (a) Peak height ratio between abnormal and normal mirror ROIs (relative nonquantitative measurement of peak height [RelNQ MAX]) versus time-to-peak difference between abnormal and normal mirror ROIs (relative nonquantitative measurement [RelNQ] of TTP). The orthogonal lines represent the simple combined thresholds for the optimal identification of infarct growth (sensitivity, 71%; specificity, 98%). The oblique line represents the best discriminant function f (TTP and peak height) = 0.591 x TTP - 4.54 x peak height + 0.951 (sensitivity, 88%; specificity, 66% when f = -0.5). (b) CBF versus CBV. The orthogonal lines represent the simple combined thresholds for the best identification of infarct growth (sensitivity, 81%; specificity, 76%).

 

    DISCUSSION
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
 REFERENCES
 
Diffusion-Perfusion Mismatch
Findings from our data confirm that the diffusion-perfusion mismatch area measured as the diffusion-apparent MTT mismatch causes overestimation of the area at risk for infarction, and that the presence of a diffusion-apparent MTT mismatch is unable to help predict the evolution of hyperacute infarcts. The apparent MTT or TTP maps maximize the area of hemodynamic disturbance because they are both highly sensitive to the flow-volume uncoupling that occurs as soon as the brain tissue experiences a decrease in the perfusion pressure (3,1215,19). Other maps, such as relative CBV, peak height, CBF index, or relative CBF, may be used to define the abnormally perfused areas (9,1113,18,19), and it has been shown that the areas delineated on relative CBV or relative CBF maps correlated best with the final infarct volume (13,19). However, it is considerably more difficult to contour the lesion on these maps, especially in white matter (12,13,16,1820).

Like Sorensen et al (13), we advise using apparent MTT or TTP maps to identify the hemodynamically disturbed areas because they are straightforward to interpret visually and then to quantify the perfusion deficit in this area to identify the actual area at risk for infarction. TTP and apparent MTT maps provide the same qualitative information, but TTP is much easier to obtain compared with apparent MTT (even without any fitting of the curve) and may be more robust (22). Indeed, accurate determination of apparent MTT requires a precise definition of the beginning and the end of the bolus. These parameters should be automatically estimated for each voxel, and they may be biased if the end of the bolus is truncated in ischemic areas owing to limitations in the sequence duration (20).

Perfusion Parameters for Predicting Infarct Growth
As expected, the parameters related to the CBF (relative nonquantitative measurement of peak height, relative nonquantitative measurement of CBF index, relative quantitative measurement of CBF, quantitative measurement of CBF) were the best predictors of infarct growth among the parameters evaluated. Indeed, CBF is the most direct parameter to determine tissue viability that is critically dependent on high rates of blood flow to deliver glucose and oxygen (6,23). As CBF begins to decrease, the brain compensates by increasing CBV and MTT to extract more oxygen and glucose (17). With further reduction in flow, compensatory mechanisms are insufficient, which leads to ischemia and eventual cellular death (24). Some authors have proposed to use TTP or MTT to predict infarct growth (14). Although we found no statistically significant difference between the diagnostic accuracy of these indirect parameters and the CBF for predicting infarct growth, we confirmed the results of Schlaug et al (12) and Røhl et al (17), who have shown that CBF was better than MTT. If the true quantitative CBF is the most meaningful parameter, its calculation is not obvious, and nonquantitative parameters (such as peak height and CBF index) have been proposed as a reasonable alternative for estimating the relative CBF without the need for calculating AIF (25).

Even if some limitations exist in the use of peak height and CBF index (26), a good correlation has been found between the peak height and the CBF measured with microspheres (27) and between the CBF index and the CBF measured with iodo[carbon 14]antipyrine (28). We found an excellent linear correlation between relative nonquantitative measurement of peak height and relative quantitative measurement of CBF (r2 = 0.94–0.99 for initial infarct, infarct growth, area of viable hemodynamic disturbance, and mirror area) and between relative nonquantitative measurement of CBF index and relative quantitative measurement of CBF (r2 = 0.72–0.84). Peak height is related to flow in the case of an ideal instantaneous bolus, and it represents a good approximation of the flow if all of the tracer has entered into the system before it began to leave the system (29). With this assumption, therefore, a good correlation is expected between relative nonquantitative measurement of peak height and relative quantitative measurement of CBF. Because peak height is easier to measure and probably more robust compared with CBF index (especially if no accurate fitting procedure is available) and because the correlations with CBF were better, we advise the use of relative nonquantitative measurement of peak height as an estimate of the relative CBF.

Relative versus Quantitative Measurements of Brain Perfusion
From our perfusion-weighted data, we performed three types of measurements (relative nonquantitative, relative quantitative, and quantitative), and we found that they were able to help predict infarct growth with a similar accuracy. However, performing relative or quantitative measurements has advantages and disadvantages.

Relative values calculated from nonquantitative measurements.—The values are quickly and easily obtained because they do not require the calculation of AIF or the application of sophisticated mathematic procedures. This is crucial in an emergency setting when working with hyperacute stroke patients. Peak height should be measured as priority because it provides the best prediction of infarct growth and is very easy to obtain. To slightly improve the Youden index, TTP and peak height measurements may be combined to define a double threshold or in a cutoff function. The cutoff function given by the discriminant analysis does not lead to a better sensitivity and specificity than the simpler combined thresholds, but it takes into account the dispersion of the data and should be more robust when applied to a different data set. The disadvantage of relative values is the difficulty to use them prospectively. They necessitate the definition of an ROI and its normal mirror ROI, but the location and extension of the area of infarct growth is not known a priori and cannot be delineated prospectively. Moreover, the contralateral hemisphere is not always normal, and that may bias the results. A solution for the day-to-day practice consists of exploring systematically the diffusion-apparent MTT mismatch area with small ROIs and their mirror ROIs, but this reduces considerably the spatial resolution of the method, does not resolve the problem of the normality of the mirror ROI, and costs additional time.

Relative values calculated from quantitative measurements.—Several authors have advocated the use of a deconvolution procedure with the AIF without attempting to calculate the CBF in absolute units (11,13,1719,30). In this approach the maximum of the deconvolved curve is directly proportional to the flow, but the proportionality constant is unknown, and only relative values (ratio with a contralateral mirror ROI) are reported. As opposed to relative nonquantitative measurement of peak height or relative nonquantitative measurement of CBF index, which represent only an estimate of the flow under some assumptions, the deconvolution procedure gives a mathematically correct evaluation of the flow. The optimal relative quantitative measurement of CBF threshold found in the present study is remarkably similar to that proposed by Røhl et al (17), in which a similar model (cutoff of 59%, which gave a sensitivity of 91% and a specificity of 73%) was used. However, relative quantitative measurement of CBF was not better than relative nonquantitative measurement of peak height for predicting infarct growth, and we did not find any advantage in using relative quantitative measurements. We therefore cannot recommend this approach because it combines the disadvantages of any relative measurement with the difficulty of calculating the AIF and of deconvolving the tissue curves.

Quantitative measurements.—To overcome the limitation of relative measurements, quantitative flow measurements have been proposed as the ideal solution (16). Quantitative thresholds can be defined on a voxel basis without the need for drawing ROIs and their mirror ROIs and without postulating the normality of the mirror ROI, which makes this method particularly appropriate for prospective analysis and for patients with diffuse vascular disease. The disadvantage in the setting of hyperacute stroke is that it requires time-consuming (5–10 minutes) operator intervention to determine the AIF. With quantitative measurements, the best parameter among those tested for predicting infarct growth was CBF. Combination of CBF and CBV measurements increased the Youden index only slightly, and the discriminant analysis gave an optimal diagnostic rule based on CBF (or CBV) alone. The diagnostic performance for predicting infarct growth was not better with quantitative measurement as compared with relative nonquantitative measurement, but automatic thresholding on quantitative CBF maps should allow automatic detection of infarct growth on a pixel-by-pixel basis. This represents an enormous advantage that may require only a slight smoothing of the data to increase the signal-to-noise ratio.

Limitations of the Study
First, our conclusions apply to the prediction of the area of infarct growth in the diffusion-apparent MTT mismatch ROI, but they might not hold true for other purposes.

Second, our stroke model (16) is based on the assumption that the bright area on the diffusion-weighted images represents the irreversible infarct. This is valid in the majority of human strokes (3,1012,14,17,18), but in few cases part of this region may escape final infarction (31,32). This study finding does not allow us to determine if perfusion parameters could help predict the reversibility of diffusion-weighted abnormalities.

Third, infarct growth was considered an operational definition of the penumbra (12), but it may not represent the entire penumbra, which is defined as a region of ischemic but viable tissue that will eventually evolve into infarction (1). Indeed, the actual penumbra may also include part of the area with diffusion-weighted abnormalities and part of the hemodynamically disturbed area that eventually escapes to infarction even without thrombolytic treatment.

Fourth, the median follow-up was 24 hours after symptom onset, and the infarcted area defined at this early point in time may not represent the final infarct size. However, it represents a reasonable estimation of the final tissue outcome, as it has been shown that only a small percentage of infarct growth could still occur later (11,19,33).

Fifth, the method for calculating quantitative perfusion values needs to be validated in patients with stroke. Some crucial points, such as the ability to determine the true AIF and the relationship between the measured signal intensity and the concentration of gadolinium-based contrast agent in the large arteries and in the capillaries, are still debated. We have previously shown that our method tends to cause overestimation of the CBV and CBF values probably as a result of underestimation of the AIF (16,20). However, if the bias is systematic, this should affect our values by only a scaling factor and should not impair the discriminating capabilities of our measurements. The absence of correction for the dispersion between the site of AIF measurement and the actual tissue may lead to underestimation of CBF in areas supplied by collateral vessels (30,34). However, there was no evidence of underestimation of slow flow in our data. Moreover, our proposed thresholds tended to be higher than those in the literature (5,6,12,18,23,35), but this was true for both quantitative and relative thresholds. Differences in the study population (such as the inclusion of many small infarcts, some of which were reperfused) and in the definition of the ROIs may explain the observed differences.

Sixth, the ROIs defined in this study represented a mixture of gray and white matter from which a unique viability threshold was proposed, but the viability thresholds might differ between gray matter and white matter. Defining specific viability thresholds might increase the diagnostic performance of quantitative measurements, but this would require the use of segmentation procedures or comparison with a normal template. These two approaches are still in the area of research.

Seven, our study was based on a retrospective definition of ROIs. To be useful in clinical practice, the proposed thresholds need to be validated prospectively without a priori knowledge of the ROI.

In conclusion, we have demonstrated that relative and quantitative measurements of brain perfusion with bolus tracking MR imaging worked equally well to predict infarct growth in hyperacute stroke. The calculation of peak height and TTP from the measured concentration versus time tissue curves (without deconvolution) seems the fastest and easiest way of predicting infarct growth, which obviates more sophisticated software designed to calculate quantitative perfusion parameters. However, these results need to be confirmed in further prospective studies, and the potential advantage of using quantitative CBF thresholds (automatic thresholding on a voxel basis without comparison with a mirror area) needs to be studied in the emergency setting.


    FOOTNOTES
 
Abbreviations: AIF = arterial input function, CBF = cerebral blood flow, CBV = cerebral blood volume, MTT = mean transit time, ROI = region of interest, TTP = time to peak

Author contributions: Guarantor of integrity of entire study, C.B.G.; study concepts, C.B.G., A.M.S.; study design, C.B.G., A.P., G.C.; literature research, C.B.G.; clinical studies, A.P.; data acquisition, C.B.G., T.P.D., G.C.; data analysis/interpretation, C.B.G., T.P.D., C.O., A.M.S.; statistical analysis, A.R.R.; manuscript preparation, definition of intellectual content, and editing, C.B.G.; manuscript revision/review and final version approval, all authors.


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 MATERIALS AND METHODS
 RESULTS
 DISCUSSION
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