Numerical Study on Dynamics of Blood Cell Migration and Deformation in Atherosclerotic Vessels

A phase field model is used to study the effect of atherosclerotic plaque on hemodynamics. The migration of cells in blood flows is described by a set of multiple phase field equations, which incorporate elastic energies and the interacting effects of cells. Several simulations are carried out to re...

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Main Authors: Yihao Wu, Hui Xing, Qingyu Zhang, Dongke Sun
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/12/2022
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author Yihao Wu
Hui Xing
Qingyu Zhang
Dongke Sun
author_facet Yihao Wu
Hui Xing
Qingyu Zhang
Dongke Sun
author_sort Yihao Wu
collection DOAJ
description A phase field model is used to study the effect of atherosclerotic plaque on hemodynamics. The migration of cells in blood flows is described by a set of multiple phase field equations, which incorporate elastic energies and the interacting effects of cells. Several simulations are carried out to reveal the influences of initial velocities of blood cells, cellular elasticity and block rates of hemodynamic vessels. The results show that the cell deformation increases with the growth of the initial active velocity and block rate but with the decrease of the cellular elasticity. The atherosclerotic plaque not only affects the deformation and migration of cells but also can promote the variation in hemodynamic properties. The atherosclerotic plaque causes a burst in cell velocity, and the greater the block rate and cellular elasticity, the more dramatic the variation of instantaneous velocity. The present work demonstrates that the phase field method could be extended to reveal formation atherosclerosis at the microscopic level from the perspective of hemodynamics.
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spelling doaj.art-350fd2144fde4ec1b25d3ece588f714d2023-11-23T17:48:25ZengMDPI AGMathematics2227-73902022-06-011012202210.3390/math10122022Numerical Study on Dynamics of Blood Cell Migration and Deformation in Atherosclerotic VesselsYihao Wu0Hui Xing1Qingyu Zhang2Dongke Sun3School of Mechanical Engineering, Southeast University, Nanjing 211189, ChinaMOE Key Laboratory of Material Physics and Chemistry under Extraordinary, Shaanxi Key Laboratory for Condensed Matter Structure and Properties, Northwestern Polytechnical University, Xi’an 710129, ChinaHigh-Performance Metal Structural Materials Research Institute, School of Iron and Steel, Soochow University, Suzhou 215137, ChinaSchool of Mechanical Engineering, Southeast University, Nanjing 211189, ChinaA phase field model is used to study the effect of atherosclerotic plaque on hemodynamics. The migration of cells in blood flows is described by a set of multiple phase field equations, which incorporate elastic energies and the interacting effects of cells. Several simulations are carried out to reveal the influences of initial velocities of blood cells, cellular elasticity and block rates of hemodynamic vessels. The results show that the cell deformation increases with the growth of the initial active velocity and block rate but with the decrease of the cellular elasticity. The atherosclerotic plaque not only affects the deformation and migration of cells but also can promote the variation in hemodynamic properties. The atherosclerotic plaque causes a burst in cell velocity, and the greater the block rate and cellular elasticity, the more dramatic the variation of instantaneous velocity. The present work demonstrates that the phase field method could be extended to reveal formation atherosclerosis at the microscopic level from the perspective of hemodynamics.https://www.mdpi.com/2227-7390/10/12/2022phase fieldcell migrationcell deformationhemodynamicsatherosclerosis
spellingShingle Yihao Wu
Hui Xing
Qingyu Zhang
Dongke Sun
Numerical Study on Dynamics of Blood Cell Migration and Deformation in Atherosclerotic Vessels
Mathematics
phase field
cell migration
cell deformation
hemodynamics
atherosclerosis
title Numerical Study on Dynamics of Blood Cell Migration and Deformation in Atherosclerotic Vessels
title_full Numerical Study on Dynamics of Blood Cell Migration and Deformation in Atherosclerotic Vessels
title_fullStr Numerical Study on Dynamics of Blood Cell Migration and Deformation in Atherosclerotic Vessels
title_full_unstemmed Numerical Study on Dynamics of Blood Cell Migration and Deformation in Atherosclerotic Vessels
title_short Numerical Study on Dynamics of Blood Cell Migration and Deformation in Atherosclerotic Vessels
title_sort numerical study on dynamics of blood cell migration and deformation in atherosclerotic vessels
topic phase field
cell migration
cell deformation
hemodynamics
atherosclerosis
url https://www.mdpi.com/2227-7390/10/12/2022
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AT huixing numericalstudyondynamicsofbloodcellmigrationanddeformationinatheroscleroticvessels
AT qingyuzhang numericalstudyondynamicsofbloodcellmigrationanddeformationinatheroscleroticvessels
AT dongkesun numericalstudyondynamicsofbloodcellmigrationanddeformationinatheroscleroticvessels