A parametric physics-informed neural network was 30 times faster than a reference Finite Element model for simulating left-ventricular biomechanics, yielding average errors between -3% and 14%.
Does a parametric physics-informed neural network efficiently and accurately simulate personalized left-ventricular biomechanics compared to a Finite Element model?
A physics-informed neural network can simulate personalized left-ventricular biomechanics 30 times faster than traditional Finite Element models with acceptable accuracy.
We present a parametric physics-informed neural network for the simulation of personalised left-ventricular biomechanics. The neural network is constrained to the biophysical problem in two ways: (i) the network output is restricted to a subspace built from radial basis functions capturing characteristic deformations of left ventricles and (ii) the cost function used for training is the energy potential functional specifically tailored for hyperelastic, anisotropic, nearly-incompressible active materials. The radial bases are generated from the results of a nonlinear Finite Element model coupled with an anatomical shape model derived from high-resolution cardiac images. We show that, by coupling the neural network with a simplified circulation model, we can efficiently generate computationally inexpensive estimations of cardiac mechanics. Our model is 30 times faster than the reference Finite Element model used, including training time, while yielding satisfactory average errors in the predictions of ejection fraction (-3%), peak systolic pressure (7%), stroke work (4%) and myocardial strains (14%). This physics-informed neural network is well suited to efficiently augment cardiac images with functional data and to generate large sets of synthetic cases for training deep network classifiers while it provides efficient personalization to the specific patient of interest with a high level of detail.
Buoso et al. (Tue,) conducted a other in Left-ventricular biomechanics. Parametric physics-informed neural network vs. Reference Finite Element model was evaluated on Computational speed and prediction errors. A parametric physics-informed neural network was 30 times faster than a reference Finite Element model for simulating left-ventricular biomechanics, yielding average errors between -3% and 14%.