Discretizing stochastic tractography: A fast implementation

Probabilistic tractography has emerged as an alternative to classical deterministic methods to overcome their lack of connectivity information between different brain regions. However, it relies on statistical sampling, which is computationally taxing. In this study, a well-known, random walk based stochastic tractography method is discretized by limiting the set of directions that a sampling particle can follow. This sets up to a framework based on a Markov chain that can accommodate all the desirable features of stochastic tractography, principally trajectory regularization through particle deflection. The system produces results that are comparable to those by the stochastic algorithm it is based on (ρ = 0.79), though 60 times faster.

[1]  R. Deriche,et al.  Regularized, fast, and robust analytical Q‐ball imaging , 2007, Magnetic resonance in medicine.

[2]  Stephen M Smith,et al.  Fast robust automated brain extraction , 2002, Human brain mapping.

[3]  Jian Huang,et al.  Visualization of neuronal fiber connections from DT-MRI with global optimization , 2005, SAC '05.

[4]  Lester Melie-García,et al.  Characterizing brain anatomical connections using diffusion weighted MRI and graph theory , 2007, NeuroImage.

[5]  D. Tuch High Angular Resolution Diffusion Imaging of the Human Brain , 1999 .

[6]  Jean-Francois Mangin,et al.  Fiber Tracking in q-Ball Fields Using Regularized Particle Trajectories , 2005, IPMI.

[7]  P. Basser,et al.  Estimation of the effective self-diffusion tensor from the NMR spin echo. , 1994, Journal of magnetic resonance. Series B.

[8]  Rachid Deriche,et al.  Deterministic and Probabilistic Tractography Based on Complex Fibre Orientation Distributions , 2009, IEEE Transactions on Medical Imaging.

[9]  P. Basser,et al.  Diffusion tensor MR imaging of the human brain. , 1996, Radiology.

[10]  D. Tuch Q‐ball imaging , 2004, Magnetic resonance in medicine.

[11]  Christopher Nimsky,et al.  Fast and Accurate Connectivity Analysis Between Functional Regions Based on DT-MRI , 2006, MICCAI.

[12]  Baba C. Vemuri,et al.  A Unified Computational Framework for Deconvolution to Reconstruct Multiple Fibers From Diffusion Weighted MRI , 2007, IEEE Transactions on Medical Imaging.

[13]  Li Bai,et al.  Fuzzy anatomical connectedness of the brain using single and multiple fibre orientations estimated from diffusion MRI , 2010, Comput. Medical Imaging Graph..