Developing mathematical models for cardiovascular system functional assessments
- Authors: Rzaev EA1, Rasulov SR2, Rzaev AG3
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Affiliations:
- Ankara University, Ankara, Turkey
- Azerbaijan State Oil Academy, Baku, Azerbaijan
- Institute of Control System of the Azerbaijan National Academy of Sciences, Baku, Azerbaijan
- Issue: Vol 96, No 4 (2015)
- Pages: 681-685
- Section: Medical cybernetics
- URL: https://kazanmedjournal.ru/kazanmedj/article/view/2274
- DOI: https://doi.org/10.17750/KMJ2015-681
- ID: 2274
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Abstract
Aim. Development of mathematical models of circulation (considering anomaly in hemorheology) allowing to diagnose functional condition of vessels/cardiovascular system.
Methods. Echocardiography, mathematical modeling, sedimentation and rheology laws, human mechanics and physiology methods were used for developing mathematical models.
Results. The following mathematical models were obtained: for determination of colloid dispersive blood system viscosity, considering concentration of dispersive phase (blood cells) and blood structure formation; velocity of inconvenient blood cells sedimentation depending on flow velocity of sediment and cell concentration; parameters of blood elasticity and viscosity as a connection between the velocity change and blood viscosity, Young`s elasticity and change tension; blood filtration in vessels (modified form of Darcy`s law) considering tension and changes of destroyed and undestroyed colloid blood system structure velocity. It was shown that impairments of blood flow velocity leads to blood cells sedimentation and thrombus structure formation, which is not moving according to Newton’s law. New indicators for diagnosing functional condition of vessels and estimating the severity of vascular insufficiency are introduced.
Conclusion. Developed hemorheologic models allow to adequately estimate human cardiovascular bloodflow.
Keywords
About the authors
E A Rzaev
Ankara University, Ankara, Turkey
Author for correspondence.
Email: rasulovsakit@gmail.com
S R Rasulov
Azerbaijan State Oil Academy, Baku, Azerbaijan
Email: rasulovsakit@gmail.com
A G Rzaev
Institute of Control System of the Azerbaijan National Academy of Sciences, Baku, Azerbaijan
Email: rasulovsakit@gmail.com
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