Mathematical modeling of bioactive arterial wall

Keywords: active biomaterials; visoelastic fluids; rheology; mathematical modelling

Abstract

Biological tissues and their artificial substitutes are composed by different fibers and possess complex viscoelastic properties. Here the most popular 3-element and 5-element rheological models of human soft tissues as viscoelastic bodies are considered accounting for the time delay between the load and mechanical respond of the material.The obtained data compared to the experimental curves got on the vessel wall and heart tissues.

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Author Biography

N. N. Kizilova, V.N.Karazin Kharkiv National University

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Citations

Model of blood flow along the arterial bed, taking into account the bioactivity of the vessel wall
Solovjova O. & Kizilova N. (2019) Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics
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Published
2018-12-16
Cited
How to Cite
Solovyova, H. N., & Kizilova, N. N. (2018). Mathematical modeling of bioactive arterial wall. Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics, 88, 44-57. https://doi.org/10.26565/2221-5646-2018-88-05
Section
Статті