We present a class of model-free Data-Driven solvers that effectively enable the utilization of in situ and in vivo imaging data directly in full-scale calculations of the mechanical response of the human brain to sonic and ultrasonic stimulation, entirely bypassing the need for analytical modeling or regression of the data. The well-posedness of the approach and its convergence with respect to data are proven analytically. We demonstrate the approach, including its ability to make detailed spatially resolved patient-specific predictions of wave patterns, using public-domain MRI images, MRE data and commercially available solid-mechanics software.

中文翻译：

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数据驱动计算在经颅超声刺激下人脑粘弹性反应的患者特异性预测中的应用

我们提出了一类无模型的数据驱动求解器，可以有效地直接利用原位和体内成像数据来全面计算人脑对声波和超声刺激的机械响应，完全绕过了对数据的分析建模或回归。该方法的适定性及其在数据方面的收敛性已通过分析得到证明。我们展示了该方法，包括它使用公共域 MRI 图像、MRE 数据和商用固体力学软件对波模式进行详细的空间分辨患者特定预测的能力。