Parsimonious continuous time random walk models and kurtosis for diffusion in magnetic resonance of biological tissue

@article{Ingo2015ParsimoniousCT,
  title={Parsimonious continuous time random walk models and kurtosis for diffusion in magnetic resonance of biological tissue},
  author={Carson Ingo and Yi Sui and Yufen Chen and Todd B. Parrish and Andrew G. Webb and Itamar Ronen},
  journal={Frontiers in physics},
  year={2015},
  volume={3}
}
In this paper, we provide a context for the modeling approaches that have been developed to describe non-Gaussian diffusion behavior, which is ubiquitous in diffusion weighted magnetic resonance imaging of water in biological tissue. Subsequently, we focus on the formalism of the continuous time random walk theory to extract properties of subdiffusion and superdiffusion through novel simplifications of the Mittag-Leffler function. For the case of time-fractional subdiffusion, we compute the… 
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