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Hypo-elastic model for lung parenchyma

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Abstract

A simple, isotropic, elastic constitutive model for the spongy tissue in lung is formulated from the theory of hypo-elasticity. The model is shown to exhibit a pressure dependent behavior that has been interpreted in the literature as indicating extensional anisotropy. In contrast, we show that this behavior arises naturally from an analysis of isotropic hypo-elastic invariants and is a result of non-linearity, not anisotropy. The response of the model is determined analytically for several boundary value problems used for material characterization. These responses give insight into both the material behavior as well as admissible bounds on parameters. The model predictions are compared with published experimental data for dog lung.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Saginaw Valley State University, 202 Pioneer Hall, 7400 Bay Road, University Center, MI, 48710, USA

    Alan D. Freed

  2. Biological Monitoring and Modeling, Pacific Northwest National Laboratory, 1007 Rogers Street Northwest, Olympia, WA, 98502, USA

    Daniel R. Einstein

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  1. Alan D. Freed
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  2. Daniel R. Einstein
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Correspondence to Alan D. Freed.

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The project described was supported by Award Number R01HL073598 from the National Heart, Lung, and Blood Institute. The content is solely the responsibility of the authors and does not necessarily reflect the official views of the National Heart, Lung, and Blood Institute or the National Institutes of Health.

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Freed, A.D., Einstein, D.R. Hypo-elastic model for lung parenchyma. Biomech Model Mechanobiol 11, 557–573 (2012). https://doi.org/10.1007/s10237-011-0333-z

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