Mathematical model of fluid flow in an osteon influence of cardiac system
Walid Miladi (FEMTO-ST/LMARC), Mihaela Racila

TL;DR
This paper develops a mathematical model to simulate fluid flow within osteons, emphasizing the influence of cardiac system-related pressure and vessel wall effects on nutrient transport in bone tissue.
Contribution
It introduces a novel mathematical framework that incorporates vessel wall effects and cardiac pressure influences into osteonal fluid flow simulations.
Findings
Pressure in osteonal fluid is significantly affected by vessel wall properties.
The model predicts how cardiac system variations influence nutrient transport.
Insights into bone health and disease mechanisms are provided.
Abstract
Numerical simulations of the behavior of the osteonal structure are more and more acute and an important parameter is the pressure of the bony fluid. Haversian and Volkmann canals contain blood vessels that transport oxygen and nutrients necessary for the cellular activity. The pressure in these vessels must be taken into account. While it is possible to estimate the value of this pressure, there is no information on the effect of the vessel wall that may have in the transmission of pressure.
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