The transvalvular pressure gradient (TPG) is commonly estimated using the Bernoulli equation. However, the method is known to be inaccurate. Therefore, an adjusted Bernoulli model for accurate TPG assessment was developed and evaluated. Numerical simulations were used to calculate TPG_CFD in patient-specific geometries of aortic stenosis as ground truth. Geometries, aortic valve areas (AVA), and flow rates were derived from computed tomography scans. Simulations were divided in a training data set (135 cases) and a test data set (36 cases). The training data was used to fit an adjusted Bernoulli model as a function of AVA and flow rate. The model-predicted TPG_Model was evaluated using the test data set and also compared against the common Bernoulli equation (TPG_B). TPG_B and TPG_Model both correlated well with TPG_CFD (r > 0.94), but significantly overestimated it. The average difference between TPG_Model and TPG_CFD was much lower: 3.3 mmHg vs. 17.3 mmHg between TPG_B and TPG_CFD. Also, the standard error of estimate was lower for the adjusted model: SEE_Model = 5.3 mmHg vs. SEE_B = 22.3 mmHg. The adjusted model’s performance was more accurate than that of the conventional Bernoulli equation. The model might help to improve non-invasive assessment of TPG.

Processing pipeline for the definition of an adjusted Bernoulli model for the assessment of transvalvular pressure gradient. Using CT image data, the patient specific geometry of the stenosed AVs were reconstructed. Using this segmentation, the AVA as well as the volume flow rate was calculated and used for model definition. This novel model was compared against classical approaches on a test data set, which was not used for the model definition.

通常使用伯努利方程估算跨瓣压力梯度（TPG）。但是，该方法是不准确的。因此，开发并评估了用于精确TPG评估的调整后的伯努利模型。数值模拟用于计算主动脉瓣狭窄患者特定几何形状中的TPG _CFD，这是事实。几何形状，主动脉瓣面积（AVA）和流速均来自计算机断层扫描。将模拟分为训练数据集（135个案例）和测试数据集（36个案例）。训练数据用于拟合调整后的伯努利模型，作为AVA和流速的函数。使用测试数据集对模型预测的TPG_模型进行评估，并与常见的伯努利方程（TPG _B）。TPG _B和TPG_模型均与TPG _CFD相关性良好（r  > 0.94），但明显高估了它。TPG_模型和TPG _CFD之间的平均差异要低得多：3.3 mmHg，而TPG _B和TPG _CFD之间为17.3 mmHg 。此外，调整后的模型的估算标准误差较低：SEE_模型 = 5.3 mmHg，而SEE _B  = 22.3 mmHg。调整后的模型的性能比常规伯努利方程的精度更高。该模型可能有助于改善TPG的非侵入性评估。

处理管道用于定义经调整的伯努利模型，以评估经瓣膜压力梯度。使用CT图像数据，重建了狭窄的AV患者的特定几何形状。使用这种分割，可以计算出AVA以及体积流量，并将其用于模型定义。在测试数据集上将这种新颖的模型与经典方法进行了比较，该模型没有用于模型定义。