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TECHNICAL PAPERS: Fluids/Heat/Transport

The Effect of Airway Wall Motion on Surfactant Delivery

[+] Author and Article Information
D. Halpern

Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487

J. L. Bull, J. B. Grotberg

Biomedical Engineering Department, The University of Michigan, Ann Arbor, MI 48109

J Biomech Eng 126(4), 410-419 (Sep 27, 2004) (10 pages) doi:10.1115/1.1784475 History: Received May 19, 2003; Revised November 18, 2003; Online September 27, 2004
Copyright © 2004 by ASME
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References

Figures

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(a) Branching network; (b) single tube. Here x* is the axial position, R* is the airway radius, r* is the radial coordinate, z* is the local radial coordinate relative to the wall, and h* is the film thickness.
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Ratio of cycle averaged total surfactant flux at the distal end of the airways once a periodic state has been reached to its steady state value for the no stretch case.
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Ratio of cycle averaged fluid flux at the distal end of the airways once a periodic state has been reached to its steady state value for the no stretch case.
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Transport versus time once a periodic steady state has been reached. Proximal end: (a) total surfactant transport, (b) liquid transport. Distal end: (c) total surfactant transport, (d) liquid transport. Here Δ=0.1.
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Velocity field within film layer over one cycle once the steady periodic state has been reached, a t=t0+ti where ti=(a) 0; (b) TC/V/8; (c) TC/V/4; (d) 3TC/V/8; (e) TC/V/2; (f ) 5TC/V/8; (g) 3TC/V/4; (h) 7TC/V/8. The cycle averaged field is shown in (i). Here the amplitude is Δ=0.1, the stretch cycle is Tc/v=1 and t0 is a sufficiently large enough value so that the steady-state has been reached.
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The influence of increasing the stretch cycle to Tc/v=10 on the flow field within the liquid layer during a cycle. The values of ti are the same as those given in the caption of Figure 5.
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The influence of high frequency membrane cycling on the flow field within the liquid layer during a cycle. Here Tc/v=0.1. The values of ti are the same as those given in the caption of Figure 5.
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Influence of stretching cycle on the surface surfactant concentration, Γ, plotted here versus axial position, x, at different times in stretching cycle. (a) Tc/v=1, (b) Tc/v=10, (c) Tc/v=0.1. Here Δ=0.1.

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