Mathematical Modeling of the Vaporization of Encapsulated Perfluorocarbon Nanodroplets Using Chirp Ultrasound: A Review

Kaiwen Jiang (), Maryam Ghasemi () and Sivabal Sivaloganathan ()
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Kaiwen Jiang: University of Waterloo
Maryam Ghasemi: University of Waterloo
Sivabal Sivaloganathan: The Fields Institute, Center for Mathematical Medicine

A chapter in Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies, 2024, pp 1-32 from Springer

Abstract: Abstract This paper explores the transformative potential of acoustic droplet vaporization (ADV) in biomedical imaging. Emphasizing simulation results from a mathematical model, we investigate the ADV of nanodroplets encapsulated in hyperelastic shells under frequency-modulated ultrasound. Our focus lies on the stability of these phase-change contrast agents (PCCAs) in the bloodstream and the heightened axial resolution achieved with frequency-modulated ultrasound. Detailing the principles of ultrasound, we underscore its significance in medical imaging and its ability to penetrate soft tissue for comprehensive organ and blood flow analysis. Recognizing challenges in visualizing tissue microvasculature, we highlight limitations of current contrast agents and position ADV as a groundbreaking approach. As a phase-change contrast agent, ADV employs liquid nanodroplets with a carefully chosen boiling point, promising both stability in circulation and enhanced contrast at the imaging site. This review consolidates insights into the advancements and potential optimizations of ADV under frequency-modulated ultrasound, presenting it as a pivotal development for contrast-enhanced ultrasound imaging. Through a synthesis of preclinical studies, we emphasize the comparable contrast enhancement properties of vaporized nanodroplets to traditional microbubble agents. In summary, this paper offers a comprehensive review of the current state and future prospects of ADV, showcasing its role in advancing contrast-enhanced ultrasound imaging.

Date: 2024
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DOI: 10.1007/978-3-031-59072-6_1

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