Stability of an encapsulated bubble shell
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Updated: Aug 13, 2026

Encapsulation and Permeability Characteristics of Plasma Polymerized Hollow Particles
Published on: August 16, 2012
Boris Krasovitski1, Eitan Kimmel
1The Department of Biomedical Engineering, Technion, Haifa 32000, Israel. agboris@tx.technion.ac.il
Abstract:
The stability of an encapsulated bubble filled with gas is studied where gas is allowed to diffuse out of the bubble. A mechanistic model that takes into account shell stiffness and surface tension is considered. A critical shell radius for loss of mechanical stability is derived based on a technique adapted for small radius, where surface tension effects become substantial. A new parameter is defined that determines the relative importance of surface tension forces and shell stiffness for shell stability. The developed technique allows to predict, for a given bubble population and gas saturation level of the surrounding liquid, a range of bubble sizes which may collapse in time. Surface tension effects are dominant in determining the critical radius but have a negligible effect on the minimal radius for collapse. The influence of the surface tension on the stability of the shell is illustrated for Optison, a typical ultrasound contrast agent.
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