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Dynamic response for a network with vessel radii that follow Murray’s law.

By Aimee M. Torres Rojas (757128), Alejandro Meza Romero (757129), Ignacio Pagonabarraga (757130), Rui D. M. Travasso (219778) and Eugenia Corvera Poiré (219786)

Abstract

<p>A: Real and imaginary parts of the response of the network (in <i>m</i><sup>4</sup>) as a function of the level <i>n</i> at which obstructions occur. B: Real and imaginary parts of the ratio of two sequential resistances </p><p></p><p></p><p></p><p><mi>a</mi><mi>i</mi></p><mo>=</mo><p></p><p><mi>R</mi><mi>i</mi></p><p><mi>R</mi></p><p><mi>i</mi><mo>−</mo><mn>1</mn></p><p></p><p></p><p></p><p></p><p></p> as a function of the level <i>i</i> of the underlying network. Note that we use the subindex <i>i</i>, whenever we refer to a property of the underlying network, we use the subindex <i>n</i> whenever we refer to the response of the whole network when obstructions occur at level <i>n</i>.<p></p

Topics: Biological Sciences, obstruction, occlusion, network hemodynamic response, response function, network structure, generation vessels occluding
Year: 2015
DOI identifier: 10.1371/journal.pone.0128111.g006
OAI identifier: oai:figshare.com:article/1453884
Provided by: FigShare
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