论文标题
多尺度内再狭窄模型的非侵入和半侵入性不确定性量化
Non-intrusive and semi-intrusive uncertainty quantification of a multiscale in-stent restenosis model
论文作者
论文摘要
通过非侵入性和半侵入性不确定性量化获得的多尺度内再狭窄模型的响应,提出了不确定性估计。内侧再狭窄模型是对固定后组织生长的完全耦合的多尺度模拟,其中最昂贵的子模型是血流模拟。非侵入性不确定性量化的替代建模将整个模型作为黑框,并直接从三个不确定输入到感兴趣的量,即新内膜区域。相应的不确定的估计值与准蒙特卡洛模拟的结果匹配。在半侵入性的不确定性量化中,最昂贵的子模型被替代模型取代。我们通过使用卷积神经网络开发了用于血流模拟的替代模型。新替代模型的半侵入方法提供了有效的不确定性和灵敏度估计,同时保持了相对较高的精度。它的表现优于早期替代模型获得的结果。它还实现了与具有相似效率的非侵入性方法相当的估计值。提出的结果是关于不确定性传播的结果,该方法具有非侵入性和半侵入性的元模型方法,使我们能够对这些方法的优势和局限性得出一些结论。
Uncertainty estimations are presented of the response of a multiscale in-stent restenosis model, as obtained by both non-intrusive and semi-intrusive uncertainty quantification. The in-stent restenosis model is a fully coupled multiscale simulation of post-stenting tissue growth, in which the most costly submodel is the blood flow simulation. Surrogate modeling for non-intrusive uncertainty quantification takes the whole model as a black-box and maps directly from the three uncertain inputs to the quantity of interest, the neointimal area. The corresponding uncertain estimates matched the results from quasi-Monte Carlo simulations well. In the semi-intrusive uncertainty quantification, the most expensive submodel is replaced with a surrogate model. We developed a surrogate model for the blood flow simulation by using a convolutional neural network. The semi-intrusive method with the new surrogate model offered efficient estimates of uncertainty and sensitivity while keeping relatively high accuracy. It outperformed the result obtained with earlier surrogate models. It also achieved the estimates comparable to the non-intrusive method with similar efficiency. Presented results on uncertainty propagation with non-intrusive and semi-intrusive metamodeling methods allow us to draw some conclusions on the advantages and limitations of these methods.