Table 2 Summary of material parameters, including references to values from previous studies. The Young’s modulus E and Poisson ratio \(\nu \) are related to the elastic Lamé parameters as \(\lambda =\frac{\nu E}{(1 -2 \nu )(1+\nu )}\) and \(\mu _s = \frac{E}{2(1+\nu )}\)
From: Human intracranial pulsatility during the cardiac cycle: a computational modelling framework
Parameter | Symbol | Value(s) | Unit | Reference | Value used in this study |
|---|---|---|---|---|---|
Young modulus | E | \(1895 \pm 592\) (wm) \(1389 \pm 289\) (gm) 5000 | Pa | Budday et al [12] - Smith and Humphrey [51] | 1500 |
Poisson Ratio | \(\nu \) | 0.479 | - | Smith and Humphrey [51] | 0.479 |
Density (brain tissue) | \(\rho _s\) | 1081 | \(\text {kg}/\text {m}^3\) | Barber et al [7] | 1081 |
Density (CSF) | \(\rho _f\) | 1007 | \(\text {kg}/\text {m}^3\) | Barber et al [7] | 1007 |
Biot-Willis coefficient | \(\alpha \) | 1.0 | - | Smith and Humphrey [51] | 1.0 |
Permeability | \(\kappa \) | \(10^{-17} - 4 \cdot 10^{-15}\) | \(\text {m}^2\) | Holter et al [29] | \(10^{-16}\) |
Storage coefficient | c | \(4.47 \cdot 10^{-7}\) \(3 \cdot 10^{-4} - 1.5 \cdot 10^{-5} \) | \(\text {Pa}^{-1}\) | Chou et al [16] Guo et al [27] | \(10^{-6}\) |
CSF/ISF viscosity | \(\mu _f\) | \(0.7\cdot 10^{-3} - 10^{-3}\) | \(\text {Pa} \cdot \text {s}\) | Bloomfield et al [11] | \(0.8 \cdot 10^{-3}\) |
Spinal pressure-volume index | \(\mathrm PVI_{SC}\) | \(2.94\pm 1.05\) \(3.9\pm 2.5 \) | ml | Tain et al [54] WÃ¥hlin et al [63] | 3 |
Initial ICP | \(p_0\) | 5 -15 | mmHg | Rangel-Castillo et al [45] | 4.5 |
Slip-rate coefficient | \(\gamma \) | \(0.01 - 5\) | - | Ehrhardt [19] | 1 |