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Table 1 Model parameters

From: Arterial vasodilation drives convective fluid flow in the brain: a poroelastic model

Parameter

Value

Unit

Description

Sources

\({\rho }_{f}^{*}\)

\(1000\)

\({\text{kg}}/{\text{m}}^{3}\)

Fluid true density

[104, 125]

\({\rho }_{s}^{*}\)

\(1000\)

\({\text{kg}}/{\text{m}}^{3}\)

Solid true density

[5]

\({\mu }_{f}\)

\(0.001\)

\({\text{Pa}} \, {\text{s}}\)

Fluid dynamic viscosity

[104, 125]

\({\zeta }_{{R}_{f}}^{2}\)

\(0.2\)

 

Fluid volume fraction in tissue

[50, 65, 122]

\({\zeta }_{{R}_{f}}^{1}\)

\(0.8\)

 

Fluid volume fraction in PVS

 

\({k}_{s}^{2}\)

\(2\times {10}^{-15}\)

\({\text{m}}^{2}\)

Fluid permeability of ECS

[83, 103]

\({k}_{s}^{1}\)

\(2\times {10}^{-14}\)

\({\text{m}}^{2}\)

Fluid permeability of PVS

 

\({\mu }_{s}^{2}\)

\(2\)

\({\text{kPa}}\)

Shear Modulus of brain tissue

[15, 80, 117]

\({\mu }_{s}^{1}\)

\(20\)

\({\text{Pa}}\)

Shear modulus of connective tissue

 

\({R}_{0}\)

\(10\)

\(\upmu {\text{m}}\)

Nominal vessel radius

[26, 96]

\({D}_{a\beta }\)

\(1.4\times {10}^{-6}\)

\({\text{c}}{\text{m}}^{2}/{\text{s}}\)

Diffusion coefficient of amyloid-β

[74, 110]

\(\lambda\)

\(1.6\)

 

Tortuosity of ECS

[105]