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Abstract #2664

A DTI tractography algorithm derived from the diffusion equation and quantum-mechanical correspondence: Method and Simulation

Hong-Hsi Lee 1 , Jeng-Wei Chen 1 , and Wen-Yih Isaac Tseng 2

1 Physics, National Taiwan University, Taipei, Taiwan, Taiwan, 2 Center for Optoelectronic Medicine, National Taiwan University, Taipei, Taiwan, Taiwan

Utilizing the correspondence between diffusion equation and Schrodinger equation, we derived a Lagrangian and acquired an equation of motion. This equation is the core of our tractography algorithm which can be applied in the Diffusion Tensor Imaging (DTI) data. Since it contains gradient terms related to diffusion tensors, acute turnings of tracts are possible in several voxels. To demonstrate the feasibility, we simulated two-dimensional diffusion tensors from a picture of magnetic lines, and applied this algorithm to delineate tracts in the original picture. The simulation results show that this algorithm is viable.

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