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Simulation numérique du mouvement et de la déformation des ...

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AbstractAbstractThe low <strong>de</strong>formability of neutrophils (white blood cells) and their accumu<strong>la</strong>tion inpulmonary capil<strong>la</strong>ries may cause acute respiratory distress syndrome. A computationalfluid dynamic approach using a Volume Of Fluid m<strong>et</strong>hod is adapted to simu<strong>la</strong>te thebehavior of neutrophils in different confined flow configurations. The white blood cellsare successively represented by four different mo<strong>de</strong>ls : in a first time, the cell is mo<strong>de</strong>ledas a Newtonian fluid, characterized by a viscosity and a surface tension. In a secondstep, a non <strong>de</strong>formable core is ad<strong>de</strong>d using an immersed boundary m<strong>et</strong>hod to improverepresentativity of the mo<strong>de</strong>l. Then, the cytop<strong>la</strong>sm of the cell is mo<strong>de</strong>led by a viscoe<strong>la</strong>sticfluid. Finally, the effects of an e<strong>la</strong>stic membrane surrounding the cytop<strong>la</strong>sm are takeninto account so as to separate the motion of the p<strong>la</strong>sma from that of the cell. We discussthe behavior of the cell in three different configurations : an equivalent of the 4-roll mill<strong>de</strong>vice obtained with a suitable arrangement of micro-channels joining at right angle,an iso<strong>la</strong>ted contraction and a periodic n<strong>et</strong>work in which the cell goes through severalsuccessive contractions. The results shed light on the differences of the cell behaviors obtainedwith the various mo<strong>de</strong>ls. The intro<strong>du</strong>ction of a viscoe<strong>la</strong>stic fluid in the cytop<strong>la</strong>sm<strong>de</strong>creases the effective viscosity of the cell and increases its <strong>de</strong>formability, allowing aneasier entrance in a contraction, whereas the membrane affects the cell shape and <strong>de</strong>creasesits <strong>de</strong>formation.Key words : fluid dynamics, numerical simu<strong>la</strong>tion, two-phase flow, membrane, viscoe<strong>la</strong>sticity,neutrophils.6

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