Skip to main content

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