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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10.1103@PhysRevE.100.012203.pdf - Published Version Download (2MB) |
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 | ||||||
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| Identification Number: | https://doi.org/10.1103/PhysRevE.100.012203 | ||||||
| Dates: |
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| 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) |
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| Divisions: | Faculty of Computing, Engineering and the Built Environment > School of Computing and Digital Technology | ||||||
| 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 |
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