Microstructural parameter estimation using spherical convolutional neural networks

Diffusion-weighted magnetic resonance imaging is sensitive to the microstructural properties of brain tissue. However, estimating clinically and scientifically relevant microstructural properties from the measured signals remains a highly challenging inverse problem that deep learning may help solve. This study investigated if recently developed orientationally invariant spherical convolutional neural networks can improve microstructural parameter estimation. A spherical convolutional neural network was trained to predict the ground-truth parameter values from simulated noisy data and applied to imaging data acquired in a clinical setting to generate microstructural parameter maps. The spherical convolutional neural network was more accurate and less orientationally variant than the benchmark methods (multi-layer perceptrons and the spherical mean technique). Our results show that spherical convolutional neural networks can be a compelling alternative to predicting parameters from powder-averaged data (i.e., data averaged over the acquired diffusion encoding directions). While we focused on constrained two- and three-compartment models of neuronal tissue, the presented network and training pipeline are generalizable and can be used to estimate the parameters of other Gaussian compartment models.