Parsimonious modeling of skeletal muscle perfusion: Connecting the stretched exponential and fractional Fickian diffusion

Purpose To develop an anomalous (non‐Gaussian) diffusion model for characterizing skeletal muscle perfusion using multi‐ b ‐value DWI. Theory and methods Fick’s first law was extended for describing tissue perfusion as anomalous superdiffusion, which is non‐Gaussian diffusion exhibiting greater particle spread than that of the Gaussian case. This was accomplished using a space‐fractional derivative that gives rise to a power‐law relationship...