Journal
MATHEMATICS
Volume 10, Issue 12, Pages -Publisher
MDPI
DOI: 10.3390/math10122022
Keywords
phase field; cell migration; cell deformation; hemodynamics; atherosclerosis
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The study used a phase field model to investigate the impact of atherosclerotic plaque on hemodynamics. The results demonstrate that the plaque not only affects cell deformation and migration, but also alters the hemodynamic properties.
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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