Phys. Rev. Lett. 94, 050602 (2005) [4 pages]Diffusion-Reaction in Branched Structures: Theory and Application to the Lung AcinusReceived 17 June 2004; published 11 February 2005 An exact “branch by branch” calculation of the diffusional flux is proposed for partially absorbed random walks on arbitrary tree structures. In the particular case of symmetric trees, an explicit analytical expression is found which is valid whatever the size of the tree. Its application to the respiratory phenomena in pulmonary acini gives an analytical description of the crossover regime governing the human lung efficiency. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.050602
DOI:
10.1103/PhysRevLett.94.050602
PACS:
05.40.Fb, 02.50.–r, 05.10.–a, 05.60.–k
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