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J Appl Physiol 64: 1359-1368, 1988;
8750-7587/88 $5.00
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Journal of Applied Physiology, Vol 64, Issue 4 1359-1368, Copyright © 1988 by American Physiological Society

ARTICLES

A finite-element model of tracheal collapse

D. Begis, C. Delpuech, P. Le Tallec, L. Loth, M. Thiriet and M. Vidrascu
Institut National de la Sante et de la Recherche Medicale, U.296, Faculte de Medecine, Creteil, France.

The trachea has been approximated by an appropriate finite-element model. The three-dimensional equilibrium problems set by the tracheal deformation under various stresses have been solved using a convenient augmented Lagrangian functional. The dimensions were obtained from human tracheae. Mechanical constants for the anatomic components were calculated from the stress-strain relationships. The compressive narrowing is essentially due to the invagination of the posterior membrane in the tracheal lumen for transmural pressures down to -7 kPa. A surface of contact between the membranous wall and the lateral walls appears when the transmural pressure equals -6 kPa. The transmural pressure-area relationship is sigmoidal with a compliance equal to 0.08 kPa-1 for a transmural pressure of -2 kPa. The tracheal collapse is greater when the material constants of the membranous wall decrease or when the tracheal segment is subjected to a longitudinal tension. A slight flexion of the trachea induces an asymmetric deformation.


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U. Holzhauser and R. K. Lambert
Analysis of tracheal mechanics and applications
J Appl Physiol, July 1, 2001; 91(1): 290 - 297.
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