Abstract #3568

Polynomial Meta-Model of Bloch-Torrey Equation for Track-based Regularization of Microstructural Inversion

Noel M. Naughton¹, Arihant Jain¹, and John J. Georgiadis^2,3

¹Mechanical Science and Engineering, Univeristy of Illinois at Urbana Champaign, Urbana, IL, United States, ²Biomedical Engineering, Illinois Institute of Technology, Chicago, IL, United States, ³Mechanical Science and Engineering, University of Illinois at Urbana Champaign, Urbana, IL, United States

A meta-model approach is presented which fits a multi-dimensional polynomial to numerical solutions of the Bloch-Torrey equation after being parameterized by microstructural and diffusion encoding parameters. This meta-model allows analytical representation of the solution space enabling analytical analysis of the space as well as reduced computational cost to solutions that do not need precise results. Possible uses of such a model are outlined, such as its use in allowing muscle tractography results to regularized by neighboring voxels in its defined muscle tract.

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