Estimation of Vessel Flow and Diameter during Cerebral Vasospasm Using Transcranial Doppler Indices

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Abstract
An important limitation of transcranial Doppler (TCD) ultrasonography is its inability to directly measure blood flow or vessel diameter. To extend the ability of TCD ultrasonography, indices were derived from an intensity-weighted mean of the entire Doppler spectrum. The objective of this article is to test the behavior city of these indices under conditions of diameter constancy (hyper- and hypoventilation) and when vessel diameter ver decreases (vasospasm). A flow index (FI) was calculated by averaging several heartbeats of spectral data and calculating the first jfatf spectral moment. An area index (Al) was defined as the FI divided by the mean velocity, motivated by the ' 1 knowledge that vessel flow is the product of vessel diameter and mean velocity. To test the FI and the Al under conditions of diameter constancy, middle cerebral artery Doppler signals were obtained from 20 patients during conditions of hypercarbia, hypocarbia, and normocarbia. To test the ability of these indices to evaluate a decrease in vessel diameter, signals from 41 sites on 23 arteries were obtained from patients who underwent both TCD and angiographic studies on two separate occasions after the occurrence of subarachnoid hemorrhage. The changes in the Al were compared with the arterial diameters measured from angiograms. The FI was proportional to the mean velocity in the cohort of healthy patients (r = 0.97). The Al changed by less than 3% in the same cohort. The Al predicted the direction of the diameter change in all vessels showing angiographic changes in area. Changes in the Al and the measured angiographic changes in cross-sectional areas were correlated (overall, r = 0.90; with two outlines removed, r = 0.86). This variant of the intensity-weighted mean predicts changes in vessel cross-sectional area under conditions of changes in C02 and cerebral vasospasm. This preliminary study suggests that careful use of this tool may provide accurate evaluation of cerebral blood flow through the large vessels and quantitative changes in diameter, which occur frequently after subarachnoid hemorrhage.