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Title: Statistical physics of cerebral embolization leading to stroke
Authors: Hague, J. P.
Chung, Emma Ming Lin
First Published: 18-Nov-2009
Publisher: American Physical Society
Citation: Physical Review E, 2009, 80 (5), pp. 051912-1-051912-9
Abstract: We discuss the physics of embolic stroke using a minimal model of emboli moving through the cerebral arteries. Our model of the blood flow network consists of a bifurcating tree into which we introduce particles (emboli) that halt flow on reaching a node of similar size. Flow is weighted away from blocked arteries inducing an effective interaction between emboli. We justify the form of the flow weighting using a steady flow (Poiseuille) analysis and a more complicated nonlinear analysis. We discuss free flowing and heavily congested limits and examine the transition from free flow to congestion using numerics. The correlation time is found to increase significantly at a critical value and a finite-size scaling is carried out. An order parameter for nonequilibrium critical behavior is identified as the overlap of blockages’ flow shadows. Our work shows embolic stroke to be a feature of the cerebral blood flow network on the verge of a phase transition.
DOI Link: 10.1103/PhysRevE.80.051912
ISSN: 1539-3755
eISSN: 1550-2376
Version: Publisher Version
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2009 The American Physical Society. Deposited with reference to the publisher’s archiving policy available on the SHERPA/RoMEO website.
Appears in Collections:Published Articles, Dept. of Cardiovascular Sciences

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