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. 2021 Dec:12:100275.
doi: 10.1016/j.rineng.2021.100275. Epub 2021 Aug 24.

A 2D FSI mathematical model of blood flow to analyze the hyper-viscous effects in atherosclerotic COVID patients

Shankar Narayan S  1   2 , Sunanda Saha  3 , Anuradha Bhattacharjee  2
Affiliations

A 2D FSI mathematical model of blood flow to analyze the hyper-viscous effects in atherosclerotic COVID patients

Shankar Narayan S et al. Results Eng. 2021 Dec.

Abstract

Recent researches on COVID 19 has been extended to analyze the various morphological and anatomical changes in a patient's body due to the invasion of the virus. These latest studies have concluded that there happens a high rise in the viscosity of the blood in a COVID 19 patient, supported by the extensive analysis of the clinical data. In the present paper, a mathematical model in the form of a differential equation system has been proposed to disclose the various changes that occur in the flow across the stenosis of an arterial segment. The consequences of the hyperviscosity of blood on the blood flow characteristics in a stenosed artery are analyzed by solving the model using a finite element method (FEM) solver. A laminar flow coupled with solid mechanics through the Fluid-Structure Interaction (FSI) interface has been studied using an Arbitrary Lagrangian-Eulerian (ALE) method. For the first time, the mathematical model was used to analyze the hyper-viscous flow condition in COVID 19 patients. The present research is mainly based on the numerous clinical reports enlisting the various morphological, hematological, and rheological changes in the blood.

Keywords: Intima; Newtonian viscosity; Thrombosis; Wall shear stress.

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Conflict of interest statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Figures

Fig. 1
Fig. 1
(a)-Geometry of the domain & (b)-Meshing near the stenosis.
Fig. 2
Fig. 2
(a)-Mesh quality near the stenosis & (b)-Pre and Post stenotic regions displayed explicitly.
Fig. 3
Fig. 3
Velocity profiles for normal and hyper-viscous cases respectively.
Fig. 4
Fig. 4
Velocity streamlines for normal and hyper-viscous cases respectively.
Fig. 5
Fig. 5
Pressure profiles for normal and hyper-viscous cases respectively.
Fig. 6
Fig. 6
Von Mises Stress for normal and hyper-viscous cases respectively (post stenotic case).
Fig. 7
Fig. 7
Von Mises Stress for normal and hyper-viscous cases respectively (pre-stenotic case).
Fig. 8
Fig. 8
Axial velocity for normal and hyper-viscous cases respectively.
Fig. 9
Fig. 9
Axial pressure for normal and hyper-viscous cases respectively.
Fig. 10
Fig. 10
WSS profile along the lumen-intima interface for normal and hyper-viscous cases respectively.
See this image and copyright information in PMC

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References

    1. Kaur G., Sandeep F., Olayinka O., Gupta G. Morphologic changes in circulating blood cells of COVID-19 patients. Cureus. 2021;13 doi: 10.7759/cureus.13416. - DOI - PMC - PubMed
    1. Fan B.E., Chong V.C.L., Chan S.S.W., Lim G.H., Lim K.G.E., Tan G.B., Mucheli S.S., Kuperan P., Ong K.H. Hematologic parameters in patients with COVID-19 infection. Am. J. Hematol. 2020;95:E131–E134. doi: 10.1002/ajh.25774. - DOI - PubMed
    1. Joob B., Wiwanitkit V. Blood viscosity of COVID-19 patient: a preliminary report. Am. J. Blood Res. 2021;11:93–95. www.AJBlood.us/ - PMC - PubMed
    1. Liu Y.P., Liu Y., Huang Q.C., Chen M., Diao B. Morphological changes of lymphocytes in peripheral blood smears of patients with covid-19. Ann. Palliat. Med. 2020;9:4420–4422. doi: 10.21037/apm-20-558. - DOI - PubMed
    1. Sun S., Cai X., Wang H., He G., Lin Y., Lu B., Chen C., Pan Y., Hu X. Abnormalities of peripheral blood system in patients with COVID-19 in Wenzhou, China. Clin. Chim. Acta. 2020;507:174–180. doi: 10.1016/j.cca.2020.04.024. - DOI - PMC - PubMed

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