Sadasivan Chander, Lieber Baruch B, Gounis Matthew J, Lopes Demetrius K, Hopkins L N
Department of Mechanical Engineering, State University of New York at Buffalo, USA.
AJNR Am J Neuroradiol. 2002 Aug;23(7):1214-21.
Endovascular stent placement is an emerging technique in treating cerebral aneurysms. Thus far, no quantitative method is available to determine the effectiveness of stent deployment in reducing intraaneurysmal flow circulation, and thereby, in excluding the aneurysm from the cerebral vasculature. Our purpose was to develop a mathematical model congruent with flow transport phenomena observed in cerebral aneurysms and based on the washout of angiographic contrast medium from these aneurysms to provide quantitative indices for predicting the likelihood of stable thrombus formation after stent placement.
Angiographic data from an in vitro experiment involving an elastomer side-wall aneurysm model and data from five patients with cerebral aneurysms were collected and analyzed. A region of interest (ROI) delineating the aneurysm was selected in each case, and the temporal variation in average gray-scale intensity within this ROI was assessed. The mathematical model was fit to the gray-scale intensity curves by using least-squares minimization. Variations in model parameters before and after stent placement were studied.
A marked variation in the model parameters was observed in both in vitro cases and when data suitable for mathematical modeling were available from the clinical setting. This variation supported the hypothesis of the model.
On the basis of our results, we conclude that the model developed herein can be used to quantitatively depict and characterize alterations in aneurysmal blood-flow transport before and after endovascular stent placement. By inference, future versions of the model will be useful in predicting the long-term effectiveness of endovascular stent placement for cerebral aneurysms immediately after the procedure is performed.
血管内支架置入术是治疗脑动脉瘤的一项新兴技术。迄今为止,尚无定量方法可用于确定支架置入在减少动脉瘤内血流循环从而使动脉瘤与脑血管系统隔绝方面的有效性。我们的目的是建立一个与脑动脉瘤中观察到的血流传输现象相符的数学模型,该模型基于血管造影剂从这些动脉瘤中的洗脱情况,以提供定量指标来预测支架置入后稳定血栓形成的可能性。
收集并分析了来自涉及弹性体侧壁动脉瘤模型的体外实验的血管造影数据以及五例脑动脉瘤患者的数据。在每种情况下,选择一个描绘动脉瘤的感兴趣区域(ROI),并评估该ROI内平均灰度强度的时间变化。通过最小二乘法将数学模型拟合到灰度强度曲线。研究了支架置入前后模型参数的变化。
在体外实验以及临床环境中可获得适合数学建模的数据时,均观察到模型参数有显著变化。这种变化支持了模型的假设。
根据我们的结果,我们得出结论,本文建立的模型可用于定量描绘和表征血管内支架置入前后动脉瘤内血流传输的变化。由此推断,该模型的未来版本将有助于在血管内支架置入术刚完成后就预测其对脑动脉瘤的长期有效性。