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Statistical physics of cerebral embolization leading to stroke

Hague, J. P. and Chung, E. M. L. (2009). Statistical physics of cerebral embolization leading to stroke. Physical Review E, 80(5), article no. 051912.

DOI (Digital Object Identifier) Link: https://doi.org/10.1103/PhysRevE.80.051912
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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 non-equilibrium 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.

Item Type: Journal Item
Copyright Holders: 2009 The American Physical Society
ISSN: 1539-3755
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Research Group: Physics
Item ID: 19020
Depositing User: James Hague
Date Deposited: 24 Nov 2009 16:07
Last Modified: 07 Dec 2018 09:29
URI: http://oro.open.ac.uk/id/eprint/19020
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