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Abstract #1849

Validating Particle Dynamics in Monte Carlo Diffusion Simulation using the Finite Element Method

Jonathan Rafael-Patiño1, Alonso Ramirez-Manzanares1, Joaquin Peña1, and Hui Zhang2

1Computer Science, Centro de Investigacion en Matematicas, Guanajuato, Mexico, 2Department of Computer Science and Centre for Medical Image Computing, University College London, London, United Kingdom

Monte-Carlo Diffusion Simulation (MCDS) is commonly used to develop and validate analytical models for quantifying tissue microstructure using diffusion MRI. However, the validation of the tools implementing MCDS has been limited, especially for complex domains, such as the extra-cellular space of brain tissue. To address this challenge, we propose a novel framework using the Finite Element Method (FEM), an established method for solving the diffusion equation with complex domains, to provide the ground-truth to assess MCDS. We demonstrate the framework by assessing how the accuracy of MCDS is influenced by the number of particles and the number of diffusion steps.

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