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Table 4 Summary of simulations and sensitivity analysis performed

From: Analysis of convective and diffusive transport in the brain interstitium

Description \(C_{max,mean}\) (mM) Range
Experimental 1.1 0.70
Simulation base case: diffusion only in homogeneous tissue (no perivascular exchange) 1.2 0.0
Estimates of range contribution from experimental variability
 Inter-animal and intra-animal tissue variation: void volume (± 0.005) 1.2 0.12
 Inter-animal and intra-animal tissue variation: tortuosity (± 0.05) 1.2 0.09
 Error in probe separation distance (± 2 μm) 1.2 0.02
 Other factors (e.g., tissue damage) 1.2 Unknown
 Diffusion only plus est. experimental variability 1.2 0.23
Additional transport mechanisms (convection, perivascular exchange)
 Diffusion with perivascular exchange (λ = 1.85)
Varying vessel separation (distance in parentheses)
1.25 (225 μm)
1.28 (250 μm)
1.31 (275 μm)
0.44 (225 μm)
0.47 (250 μm)
0.42 (275 μm)
 Diffusion and convection (\(v\) = 50 μm min−1) in homogeneous tissue (no perivascular exchange) 1.2 0.24
 Diffusion and convection with perivascular exchange (λ = 1.85)
Varying bulk-flow velocity (in parentheses)
1.2 (10 μm min−1)
1.2 (50 μm min−1)
1.2 (100 μm min−1)
1.0 (250 μm min−1)
0.5 (10 μm min−1)
0.7 (50 μm min−1)
0.9 (100 μm min−1)
1.7 (250 μm min−1)
  1. Using Cserr et al. [30] experimental case and base simulation conditions of α = 0.18, λ = 1.6, diffusion only in homogeneous tissue (no perivascular exchange routes). Simulations with perivascular exchange use λ = 1.85 for reasons described below