Synthesizing of brain MRE wave data

Abstract: Magnetic resonance elastography (MRE) is an imaging technique that allows for non-invasive access to the physical properties of body tissues. MRE has great potential, but it is difficult to conduct research due to the time-consuming estimation of stiffness maps, which could be speeded up by using neural network. However, there is not enough real data to train one, thus, synthetic data is needed. To create synthetic data three techniques of simulating tissue displacement due to wave propagation was explored, including solving differential equations for a system of coupled harmonic oscillators (CHO method) and using two different functions from the k-Wave toolbox. Each of the three methods demonstrated the ability to replicate the displacement pattern in a phantom with a simple structure. The CHO method and \texttt{kspaceFirstOrder} function of the k-Wave toolbox showed the best performance when simulating displacement in a 2D brain slice. The models are not very accurate, but capture general features of displacement in a brain and hold potential for future improvement.