Coronary arteries and angioplasty balloon mechanical behavior modeling

Antonova O.V., Rovovoy E., Ivanov S.D., Kabin N.A., Gesin I.D., Kozaev A.V.
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Тhe aim of this work is to assess the mechanical behavior of coronary vessels and angioplasty balloons during the angioplasty procedure, based on intravascular ultrasound (IVUS) and angiography data obtained for each patient individually. To treat atherosclerosis, a serious chronic inflammatory disease of the arteries characterized by the formation of atherosclerotic plaques, which causes vessel narrowing and impairs blood supply to tissues and organs, modern medical practice employs a minimally invasive endovascular procedure known as balloon angioplasty. Key aspects of modeling this procedure include understanding the behavior of patients’ arteries and the balloons used during the intervention. Based on intravascular ultrasound and angiography data, a biomechanical model of an artery affected by atherosclerosis is developed. A finite element model of the arterial segment is constructed, accounting for its nonlinear hyperelastic behavior. To simulate the behavior of the angioplasty balloon, a mathematical model of the balloon is developed and validated against experimental data. An assessment of the stress-strain state of a specific patient’s coronary artery and angioplasty balloon is performed. For a full-scale simulation of the angioplasty process, a mathematical model is developed that incorporates all three objects considered above: personalization of the artery model through the use of real patient data; a finite element model of the artery built based on of the personalized model, accounting for its nonlinear behavior; a finite element model of the angioplasty balloon. The developed mathematical models and the results obtained from them will further allow us to derive dependencies of key angioplasty parameters. These dependencies can be used to improve angioplasty techniques based on intravascular imaging data. Furthermore, the application of mathematical modeling methods will help reduce the number of clinical trials in this field.

Keywords: angioplasty, balloon, atherosclerosis, artery, mathematical modeling, intravascular imaging
Citation in English: Antonova O.V., Rovovoy E., Ivanov S.D., Kabin N.A., Gesin I.D., Kozaev A.V. Coronary arteries and angioplasty balloon mechanical behavior modeling // Computer Research and Modeling, 2026, vol. 18, no. 3, pp. 589-605
Citation in English: Antonova O.V., Rovovoy E., Ivanov S.D., Kabin N.A., Gesin I.D., Kozaev A.V. Coronary arteries and angioplasty balloon mechanical behavior modeling // Computer Research and Modeling, 2026, vol. 18, no. 3, pp. 589-605
DOI: 10.20537/2076-7633-2026-18-3-589-605
URL: http://crm-en.ics.org.ru/journal/article/3734/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

Copyright © 2026 Antonova O.V., Rovovoy E., Ivanov S.D., Kabin N.A., Gesin I.D., Kozaev A.V.

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