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. 2015 Oct 6;12(111):20150523. doi: 10.1098/rsif.2015.0523

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© 2015 The Authors.

Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.

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Figure 1. — Set-up of the mathematical model: (a) sketch of an individual airway during recruitment; (b) typical airway tree where individual airways are shaded according to their value of , where the colour bar highlights the distribution of shading and the error bar shows 1 s.d. from the mean (darker shades represent narrower, stiffer airways); (c) ‘tube law’ for generation 14 showing the transmural pressure as a function of airway cross-sectional area, where (solid line). Also shown are the cases where ; (d) close-up of the ‘tube law’ for generation 14; (e) airway stiffness in generation 14 for the three cases shown in (c), with the inset showing a magnified view; (f) threshold opening pressure for airways in each generation of a homogeneous airway network for (solid line), (filled circles) and (crosses) for two levels of initial airway collapse (C = 0.1 and C = 0.2).

Inline graphic — Set-up of the mathematical model: (a) sketch of an individual airway during recruitment; (b) typical airway tree where individual airways are shaded according to their value of , where the colour bar highlights the distribution of shading and the error bar shows 1 s.d. from the mean (darker shades represent narrower, stiffer airways); (c) ‘tube law’ for generation 14 showing the transmural pressure as a function of airway cross-sectional area, where (solid line). Also shown are the cases where ; (d) close-up of the ‘tube law’ for generation 14; (e) airway stiffness in generation 14 for the three cases shown in (c), with the inset showing a magnified view; (f) threshold opening pressure for airways in each generation of a homogeneous airway network for (solid line), (filled circles) and (crosses) for two levels of initial airway collapse (C = 0.1 and C = 0.2).