EAAI Journal 2025 Journal Article
Physics-informed neural networks for three-dimensional cerebrovascular hemodynamic prediction: A point cloud preprocessing strategy based on limited data
- Jing Liao
- Gaoyang Li
- Keito Yanagisawa
- Shin-Ichiro Sugiyama
- Makoto Ohta
- Hitomi Anzai
Hemodynamic parameters are crucial for diagnosis and treatment of cerebrovascular diseases, yet real-time, high-resolution, and accurate acquisitions remain challenging due to limitations of current medical imaging and computational techniques. Artificial intelligence (AI)-based hemodynamic prediction also faces data scarcity in clinical settings due to ethical consideration. To address this issue, we aim to enhance learning performance under limited patient datasets with a tailored point cloud preprocessing strategy and a designed neural network architecture. The preprocessing strategy ensures point spatial homogeneity by applying resampling techniques including voxelization and distance-weighted interpolation, optimizing the data derived from computational fluid dynamics (CFD) for AI model training. The physics-informed neural networks (PINNs) module transits the network from a purely data-driven to a semi-data-driven framework, decreasing the data dependency. Four controlled trials were conducted using a limited CFD dataset of 51 patients, with 11 cases reserved for testing, to evaluate the performance of different model combinations, with and without the integration of a PINNs module and point cloud preprocessing. The combined approach showed superior performance in predicting spatially anisotropic hemodynamic fields—including velocity components and pressure—by efficiently mapping spatial coordinates to three-dimensional hemodynamic variables. This method achieved strong visual agreement with CFD simulations while reducing prediction time to 1 s. On the test set, it achieved normalized mean absolute errors of 7. 79 ± 2. 14 % for velocity and 6. 63 ± 2. 80 % for pressure, comparable to previously reported results based on large synthetic datasets. These results demonstrate the method's efficiency, accuracy, and real-time potential for clinical hemodynamic modeling in data-limited scenarios.