“…At the level of basic physics research, efforts are concentrated in determining through experimentation and mathematical modeling the scattering properties and the bubble dynamics of the different kinds of UCAs, which differ for properties such as encapsulating shell, gas, and size distribution (de Jong and Hoff 1993;Guan and Matula 2004;Lo et al 2006;Marsh et al 1999;May et al 2002). A number of models have been proposed to describe the bubble dynamics in the presence of a shell, which are a modification of the free bubble equation, such as the Rayleigh-Plesset equation or the Gilmore equations, to include the shell properties Chatterjee and Sasaki 2003;Church 1995;Hoff et al 2000;Khismatullin and Nadim 2002).…”