Quantitative analysis of macroscopic solute transport in the murine brain

Table 1 Quantitative analysis of brain transport parameters for each anatomical subdomain

Anatomical Subdomain	\(D_{eff}\) (mm²/min)	Peclet number (open/porous)	Charac. length (mm)	Estimated velocity (mm/min)	Published transport parameter
Branching Periarterial Space (PAS_Branch)	60 ± 20	4000/12,000	5	12 ± 4	\(v_{PAS} = 1.2\,{\text{mm}}/{\text{min}}\) [18, 19]
Surface Periarterial Space (PAS_Surf)	95 ± 40	6000/19,000	12	8 ± 3	\(v_{PAS} = 1.2\,{\text{mm}}/{\text{min}}\) [18, 19]
Brain Tissue (BT): Interstitial space, PVS of microvessels	0.10 ± 0.04	6/18	0.5	0.2 ± 0.1	\(D_{app} = 0.005\, {\text{mm}}^{2} /{\text{min}}\) [48, 49] \(v_{IS} = 0.01\,{\text{mm}}/\min\) [32] \(v_{PAS} =\) not known

Table reports: (1) Optimal effective diffusivity \(D_{eff}\) . (2) Peclet number reflecting the ratio of convective to diffusive transport. “Open” uses the free diffusivity and represents transport in unhindered space such as surface periarterial space. “Porous” uses apparent diffusivity and represents transport through porous media such as interstitial space. (3) Average velocity estimated from \(D_{eff}\) using a characteristic length for the anatomical subdomain. (4) Measured brain transport parameters (or parameters estimated using a model) from the literature for comparison. (Error is one standard deviation)

ISSN: 2045-8118