Table 1.

Modifications for the parameter ξ, the effective pressure for microtripsy (p_EM) and shock scattering histotripsy (p_ES), and bubble expansion rate (〈Ṙ〉) based on form of the elastic model.

Elasticity Model	ξ	pEM	pES	〈Ṙ〉
Linear	ξHA−6G/P0	$P_0\left(1+\frac{2G}{P_0}\right)$	|Pr|−2G	$\sqrt{\frac{2(2G-\langle p_{AC}\rangle )}{3\rho }}$
Kelvin-Voight	ξHA−4G/P0	$P_0\left(1+\frac{4G}{3P_0}\right)$	$\mid P_r\mid -\frac{4G}{3}$	$\sqrt{\frac{2(4G/3-\langle p_{AC}\rangle )}{3\rho }}$
Neo-Hookean	ξHA−15G/2P0	$P_0\left(1+\frac{5G}{2P_0}\right)$	$\mid P_r\mid -\frac{5G}{2}$	$\sqrt{\frac{2(5G/2-\langle p_{AC}\rangle )}{3\rho }}$
Fung+	ξHA−58.2G/P0	$P_0\left(1+\frac{58.2G}{P_0}\right)$	|Pr|−58.15G	$\sqrt{\frac{2(58.2G-\langle p_{AC}\rangle )}{3\rho }}$
Gent*	ξHA−17.5G/P0	$P_0\left(1+\frac{17.5G}{P_0}\right)$	|Pr|−17.5G	$\sqrt{\frac{2(17.5G-\langle p_{AC}\rangle )}{3\rho }}$

⁺The solution for the Fung model was computing assuming fracture of an agar medium beyond an expansion ratio of 2.2 (i.e. solution of (10) for λ = 2.2) (Movahed et al 2016).

^*The solution for the Gent model was computed assuming fracture of an agar medium beyond an expansion ratio of 2.93 (i.e. solution of (11) for λ = 2.93).