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Mathematical Models of Acoustically Induced Vaporization of Encapsulated Nanodroplets

In: Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models

Author

Listed:
  • K. Jiang

    (University of Waterloo)

  • M. Ghasemi

    (University of Waterloo)

  • A. Yu

    (University of Waterloo)

  • S. Sivaloganathan

    (Center for Mathematical Medicine, The Fields Institute)

Abstract

The induced vaporization of nanodroplets has shown promise to be used in various biomedical applications such as contrast imaging, embolotherapy, as well as the enabling of targeted drug delivery in chemotherapy. This process works through the introduction of encapsulated nanodroplets into the bloodstream. These nanodroplets contain an appropriately chosen liquid that is metastable at human body temperature but can be induced to vaporize through externally applied ultrasound. This paper presents the mathematical modelling of the ADV process using the Rayleigh-Plesset framework that has been generalized to incorporate the effects of viscosity, surface tension, heat transfer, etc. Finally, it presents two models of the encapsulating shell which are then incorporated into the framework to more accurately model the behaviour of the encapsulated nanodroplet within an acoustic field.

Suggested Citation

  • K. Jiang & M. Ghasemi & A. Yu & S. Sivaloganathan, 2022. "Mathematical Models of Acoustically Induced Vaporization of Encapsulated Nanodroplets," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models, pages 147-161, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-12515-7_7
    DOI: 10.1007/978-3-031-12515-7_7
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