Irregular dynamics of cellular blood flow in a model microvessel

Bryngelson, Spencer; Guéniat, Florimond; Freund, Jon

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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Official URL: https://doi.org/10.1103/PhysRevE.100.012203

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
Identification Number:	DOI: 10.1103/PhysRevE.100.012203
Dates:	Date Event 19 July 2019 Published Online 19 April 2019 Accepted
Uncontrolled Keywords:	chaos.blood.fluid dynamics,markov model
Subjects:	CAH03 - biological and sport sciences > CAH03-01 - biosciences > CAH03-01-02 - biology (non-specific) CAH07 - physical sciences > CAH07-04 - general, applied and forensic sciences > CAH07-04-01 - physical sciences (non-specific)
Divisions:	Architecture, Built Environment, Computing and Engineering > Computer Science
Depositing User:	Florimond Gueniat
Date Deposited:	10 Jul 2019 07:11
Last Modified:	03 Mar 2022 15:46
URI:	https://www.open-access.bcu.ac.uk/id/eprint/7716