TABLE 1.

Material constant for the cerebral ventricles in the TH-Model and NTH-Model. $P$ : pressure, $C$ : intercept of $v_s-v_p$ curves, $v_s$ : velocity of a shockwave traveling through the intermediary material, $v_p$ : velocity of the shocked material; S1, S2, and S3: coefficients of the slope of the $v_s-v_p$ curves, ${\gamma }_0$ : Gruneisen gamma, $a$ : first order volume correction to ${\gamma }_0$ ; ${\rho }_0$ : initial density; $\rho$ : instantaneous density; ${\sigma }_{ij}^v$ : deviatoric stress; $\gamma$ : dynamic viscosity; ${\dot{\epsilon }}_{ij}^{\prime }$ : deviatoric strain rate; $PC$ : cut-off pressure.

Equation of state	${\rho }_0$ (kg/m3)	C (m/s)	S 1	S 2	S 3	$a$	${\gamma }_0$
$P=\frac{{\rho }_0{C}^2\mu \left(1+\left(1-{\gamma }^2/2\right)\mu -a/2{\mu }^2\right)}{\left[1-\left(S_1-1\right)\mu -S_2{\mu }^2/\left(\mu +1\right)-S_3{\mu }^3/{\left(\mu +1\right)}^2\right]};\mu =\frac{\rho }{{\rho }_0}-1$	1000	1482.9	2.10	-0.17	0.01	0	1.2
Constitutive equation	$\gamma$ (Pa.s)	$PC$ (MPa)
${\sigma }_{ij}^v=\gamma {\dot{\epsilon }}_{ij}^{\prime }$	0.001	−22