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. 2005 Aug 12;89(5):2927–2938. doi: 10.1529/biophysj.105.063016

TABLE 4.

Hexagonal pack: sensitivity function for anisotropy (top row) ∂ ln(Dl,eff/Dt,eff) / ∂ ln X with corresponding parameter X values (bottom rows) for normal situations and various physiologically or clinically relevant perturbations

Db Dc Ds Cb0 Cc0 Cs0 L rc rs f Anisotropy
Normal −0.23 0.39 −0.16 −0.23 0.39 −0.16 −5.27 0.35 4.92 2.64 2.77
20 7.5 0.3 0.95 0.88 0.5 18.25 6.0 8.57 3 0.8
Vasogenic edema −0.16 0.25 −0.09 −0.16 0.25 −0.09 −2.13 0.27 1.86 1.06 2.07
20 7.5 0.3 0.95 0.88 0.5 19.94 6.0 8.57 0.67
Hydrocephalus −0.23 0.47 −0.23 −0.23 0.47 −0.23 −9.69 0.33 9.36 4.84 3.43
20 7.5 0.3 0.95 0.88 0.5 17.71 6.0 8.57 0.85
Cytotoxic edema −0.19 0.53 −0.34 −0.19 0.53 −0.34 −8.04 −8.11 8.11 4.02 3.39
20 7.5 0.3 0.95 0.88 0.5 17.71 7.2 8.57 0.85
Demyelination −0.19 0.13 0.056 −0.19 0.13 0.06 −0.78 0.10 0.67 9.51 1.46
20 7.5 0.6 0.95 0.88 0.5 18.48 6.0 4.28 0.78
Dysmyelination 0.13 0.18 −0.31 0.13 0.18 −0.31 −0.65 −0.22 0.87 0.32 1.47
20 7.5 3.0 0.95 0.88 0.5 18.25 6.0 8.57 3 0.8

The last column gives the anisotropy for the case considered. Concentrations are with respect to unit molarity of bulk water, lengths are in micrometers, and diffusion coefficients are in units of 10−10m2/s.