Mucosal Folding in Biologic Vessels

[+] Author and Article Information
Constantine A. Hrousis, Roger D. Kamm

Center for Biomedical Engineering and the Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA

Barry J. R. Wiggs

Information Technology Services, Calgary Regional Health Authority, Alberta, Canada

Jeffrey M. Drazen

Division of Respiratory and Critical Care Medicine, Brigham and Women’s Hospital, Boston, MA

David M. Parks

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA

J Biomech Eng 124(4), 334-341 (Jul 30, 2002) (8 pages) doi:10.1115/1.1489450 History: Received March 01, 2001; Revised April 01, 2002; Online July 30, 2002
Copyright © 2002 by ASME
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Sketch of a membranous bronchiole (left) and the two-layer tube idealization (right), showing correspondence between airway components and tube layers. The outer layer represents all structures external to the subepithelial collagen layer and internal to the smooth muscle. The inner layer represents the subepithelial collagen layer. The structural implications of the epithelium are ignored.
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Examples of large-scale physical two-layer tube models. From left to right, the thickness of the stiff inner layer increases, and the observed number of folds correspondingly decreases. For the purpose of this photograph only, band clamps were used to maintain the load on the tubes. For the experiments of Table 1, the apparatus in Fig. 5 was used.
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Schematic of the apparatus used to simulate the loading due to smooth muscle constriction. The tube is wrapped in plastic and encircled by a collection of filaments that are, in turn, fastened to two blocks. Applying force f to both blocks induces tension in the filaments and effective pressure (p) on the outside wall of the tube.
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Linearized buckling analysis results: 3-D plots of N vs. all 3 simple model parameters (inner thickness ratio, outer thickness ratio, and ratio of Young’s moduli) for 500 results from the FEM.
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Relationship between transmural pressure and lumen cross-sectional area for base case and two other values of the outer thickness ratio spanning an order of magnitude in t0*(A), a factor of five in ti*(B), and a factor of 16 in E*(C).
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Pressure-area relationship from two-layer tube experiments for three cases having different values of the inner thickness ratio. Note that the curves cross in such a way that the tube with the thickest inner layer exhibits the greatest collapse at high pressures as predicted by the FEM.




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