Physico-Mathematical Model for Acoustic Properties of Multiple Microbubbles Encapsulated by a Visco-Elastic Shell

Abstract

Although multiple encapsulated bubbles in medical applications such as ultrasound diagnosis are usually used, previous physico-mathematical models for encapsulated bubble were restricted to the case of single bubble. Recently, our group (2021) proposed the physico-mathematical model for oscillations of multiple encapsulated bubbles, but some important effects (i.e., shell compressibility, drag force acting bubbles, translation of bubbles and thermal conduction) were neglected in this model. In this study, we establish the model for multiple encapsulated bubbles which incorporated these effects, at this stage, we succeeded a best generalization of physico-mathematical model for multiple encapsulated bubbles. Furthermore, we compared the sizes of five dissipation factors (i.e., shell compressibility, shell viscosity, liquid compressibility, liquid viscosity and thermal effect) for typical ultrasound contrast agents.