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Table 1 One vessel and two vessel model parameters

From: Pulsatile flow drivers in brain parenchyma and perivascular spaces: a resistance network model study

Symbol Description Baseline value Simulated range Source
R i PVS inner radius 10 μm 1–29 μm [4, 13, 21]
R o PVS outer radius 30 μm 2–30 μm [4]
LPVS PVS segment length 300 μm [17, 21]
LPCY Distance between vessels 200 μm [19]
b Wave amplitude 0.25 μm 0–0.37 μm [13]
f Pulse frequency 5 Hz [14]
Wave speed 1 m/s   [24,25,26]
K Hydraulic conductivity 5.63 × 10−12 m2/(Pa s) 102–1011 μm3 s/kg [27]
μ Dynamic viscosity 0.9 × 10−3 Pa s [28, 29]
ρ Interstitial fluid density 993.2 kg/m3 [30]
ϕ Porosity 0.2   [31]
D*b Solute diffusivity 101–103 μm2/s [31, 19]
l a Resistance length 50; 100 μm   Model dependent
h Resistance height 100 μm   Model dependent
d Resistance depth 200 μm   Model dependent
R PCY i Parenchyma inner radius 10 μm   [4]
R PCY o Parenchyma outer radius 300 μm   Model dependent
η Pore size 60 nm   [32]
θ Phase shift 0 0–2π Model dependent
ξ Pulsatility ratio 0.80 0–1 [13]
  1. aR2, R3 in the one vessel model and R6, R8, R9, R10, R11, R13, R15, R16, R17, R18, and R20 in the two vessel model had lengths of 100 μm. All others resistors had lengths of 50 μm except R5, R6, and R7 in the one vessel model which were defined as in Eq. 3
  2. bD* refers to the effective solute diffusion coefficient in brain tissue