Table 2.

Material Constants for the Cerebral Ventricle

Equation of state	C (m/s)	S1	S2	S3	a	γ0
$$P\text{ =}\frac{{\rho }_0{C}^2\mu \left[1\text{ + }\left(1-\frac{{\gamma }_0}{2}\right)\mu -\frac{a}{2}{\mu }^2\right]}{\left[1 -\left(S_1- 1\right)\mu -S_2\frac{{\mu }^2}{\mu \text{ + }1} -S_3\frac{{\mu }^3}{{\left(\mu - 1\right)}^2}\right]};\mu \text{ = }\frac{V_0}{V} -1$$	1482.9	2.1057	−0.1744	0.010085	0	1.2
Constitutive equation	γ (Pa.s)	PC (MPa)
$${\sigma }_{ij}^v\text{ = }\gamma {\dot{\epsilon }}_{ij}^{\prime }$$	0.001	−22

P is the pressure, Cis the intercept of v_s-v_p curves with v_s being the velocity of a shockwave traveling through the intermediary material and v_p being the velocity of the shocked material; S₁, S₂, and S₃ are the coefficients of the slope of the v_s-v_pcurves, γ₀ is the Gruneisen gamma, and a is the first order volume correction to γ₀ ;V₀ is the initial volume; V is the instantaneous volume; ${\sigma }_{ij}^v$ is the deviatoric stress; γ is the dynamic viscosity; ${\dot{\epsilon }}_{ij}^{\prime }$ is the deviatoric strain rate; PC is the cutoff pressure.