Irregular dynamics of cellular blood flow in a model microvessel

Bryngelson, Spencer and Guéniat, Florimond and Freund, Jon (2019) Irregular dynamics of cellular blood flow in a model microvessel. Physical Review E, 100 (012203). ISSN 2470-0045

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Abstract

The flow of red blood cells within cylindrical vessels is complex and irregular, so long as the vessel diameter is somewhat larger than the nominal cell size. Long-time-series simulations, in which cells flow 105 vessel diameters, are used to characterize the chaotic kinematics, particularly to inform reduced-order models. The simulation model used includes full coupling between the elastic red blood cell membranes and surrounding viscous fluid, providing a faithful representation of the cell-scale dynamics. Results show that the flow has neither classifiable recurrent features nor a dominant frequency. Instead, its kinematics are sensitive to the initial flow configuration in a way consistent with chaos and Lagrangian turbulence. Phase-space reconstructions show that a low-dimensional attractor does not exist, so the observed long-time dynamics are effectively stochastic. Based on this, a simple Markov chain model for the dynamics is introduced and shown to reproduce the statistics of the cell positions.

Item Type: Article
Uncontrolled Keywords: chaos.blood.fluid dynamics,markov model
Subjects: C100 Biology
F300 Physics
Divisions: REF UoA Output Collections > REF2021 UoA11: Computer Science and Informatics
Depositing User: Florimond Gueniat
Date Deposited: 10 Jul 2019 07:11
Last Modified: 10 Jul 2019 07:11
URI: http://www.open-access.bcu.ac.uk/id/eprint/7716

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