Evaluation of blood plasma flow around 2D erythrocytes with the use of computational fluid dynamics / Avaliação do escoamento de plasma sanguíneo ao redor de eritrócitos 2D com o uso de fluidodinâmica computacional

Authors

  • Cristian Ricardo Schwatz
  • Igor Agusto Depiné Fiamoncini
  • Ricardo Nava de Sousa
  • Bruna Iten Bittelbrunn
  • Leonardo Machado da Rosa
  • Henry França Meier
  • Jaci Carlo Schramm Câmara Bastos

DOI:

https://doi.org/10.34117/bjdv5n8-013

Keywords:

Blood, Eryhtrocytes, Hemodynamics, Simulations, Computational Fluid Dynamics.

Abstract

 

Hemodynamic forces, such as Wall Shear Stress, are known to be one of the factors behind atherosclerotic plaque formation in blood vessels. Such plaque formation may lead to clinical conditions such as aneurysms and stenosis. Given the importance of understanding the hemodynamics inside blood vessels, CFD-based (Computational Fluid Dynamics) tools can be applied with Medical imaging techniques, in order to assist physicians. Although CFD simulations try to simulate cases as close as possible to their real physics, simplifications are often required. Furthermore, blood is usually taken as being a single-phase fluid, despite it being a suspension of blood cells in plasma. This is due to the focus of computational hemodynamics often being the whole blood flow or pathologies within the blood vessel. However, blood cells can account to more than half of the blood volume, depending on the patient. Hence, the present work aimed to study the behavior of plasma, flowing around a single erythrocyte, as well as a cluster of erythrocytes immersed in a 2D domain. In the simulations, parameters such as the Reynolds number and velocity profiles were analyzed. Results showed that erythrocyte geometry had an influence in the velocity profiles. Moreover, Reynolds numbers were considerably low, due to the micro scale utilized in the simulations, which was in accordance with literature.

 

 

References

BALOSSINO, R. et al. Computational models to predict stenosis growth in carotid arteries: Which is the role of boundary conditions? Computer Methods in Biomechanics and Biomedical Engineering, v. 12, n. 1, p. 113–123, 2009.

CEBRAL, J. R. et al. Characterization of Cerebral Aneurysms for Assessing Risk of Rupture by Using Patient-specific Computational Hemodynamics Models. n. December, p. 2550–2559, 2005.

CELIK, I. B. Procedure for Estimation and Reporting of Uncertainty Due to Discretization in CFD Applications. v. 130, n. July 2008, p. 1–4, 2019.

DONG, J.; INTHAVONG, K.; TU, J. Image-based computational hemodynamics evaluation of atherosclerotic carotid bifurcation models. Computers in Biology and Medicine, v. 43, n. 10, p. 1353–1362, 2013.

JAY, A. W. L. GEOMETRY OF THE HUMAN ERYTHROCYTE I . EFFECT OF ALBUMIN ON CELL GEOMETRY. Biophysical Journal, v. 15, n. 3, p. 205–222, 1975.

JUNG, J.; HASSANEIN, A. Three-phase CFD analytical modeling of blood flow. Medical Engineering & Physics, v. 30, p. 91–103, 2008.

KARIMI, S. et al. Effect of rheological models on the hemodynamics within human aorta: CFD study on CT image-based geometry. Journal of Non-Newtonian Fluid Mechanics, v. 207, p. 42–52, 2014.

LI, M. et al. Hemodynamics in Ruptured Intracranial Aneurysms with Known Rupture Points. World Neurosurgery, p. 1–6, 2018.

LIU, Y.; LIU, W. K. Rheology of red blood cell aggregation by computer simulation. Journal of Computational Physics, n. 220, p. 139–154, 2006.

MORALES, H. G. et al. Newtonian and non-Newtonian blood flow in coiled cerebral aneurysms. Journal of Biomechanics, v. 46, n. 13, p. 2158–2164, 2013.

NOGUCHI, H.; GOMPPER, G. Shape transitions of fluid vesicles and red blood cells in capillary flows. Proceedings of the National Academy of Sciences of the United States of America, v. 102, n. 40, p. 14159–14164, 2005.

OU, C. et al. Hemodynamic modeling of leukocyte and erythrocyte transport and interactions in intracranial aneurysms by a multiphase approach. Journal of Biomechanics, v. 49, n. 14, p. 3476–3484, 2016.

RAZAVI, A.; SHIRANI, E.; SADEGHI, M. R. Numerical simulation of blood pulsatile flow in a stenosed carotid artery using different rheological models. Journal of Biomechanics, v. 44, n. 11, p. 2021–2030, 2011.

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Published

2019-08-15

How to Cite

Schwatz, C. R., Fiamoncini, I. A. D., Sousa, R. N. de, Bittelbrunn, B. I., Rosa, L. M. da, Meier, H. F., & Bastos, J. C. S. C. (2019). Evaluation of blood plasma flow around 2D erythrocytes with the use of computational fluid dynamics / Avaliação do escoamento de plasma sanguíneo ao redor de eritrócitos 2D com o uso de fluidodinâmica computacional. Brazilian Journal of Development, 5(8), 11317–11329. https://doi.org/10.34117/bjdv5n8-013

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Section

Original Papers