TY - JOUR
T1 - Irregular dynamics of cellular blood flow in a model microvessel
AU - Bryngelson, Spencer H.
AU - Guéniat, Florimond
AU - Freund, Jonathan B.
N1 - Publisher Copyright:
© 2019 American Physical Society.
PY - 2019/7/8
Y1 - 2019/7/8
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85069830289&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85069830289&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.100.012203
DO - 10.1103/PhysRevE.100.012203
M3 - Article
C2 - 31499874
AN - SCOPUS:85069830289
SN - 2470-0045
VL - 100
JO - Physical Review E
JF - Physical Review E
IS - 1
M1 - 012203
ER -