Nonlinear tubular organ modeling and analysis for tracheal angioedema by swelling-morphoelasticity
- 103 Downloads
We study one of the important human tubular organs, the trachea, under deformation caused by the disease angioedema. This pathology can suddenly increase the volume of the trachea and cause serious breathing difficulty. Two popular theories, the swelling theory and morphoelasticity theory, which generalize classical hyperelasticity to study material deformation under internal volume change, are integrated into a single model to study tracheal angioedema. Computational modeling results from various combinations of swelling and morphoelasticity are compared to exhibit the difference and similarity of the two theories in modeling tracheal angioedema. Nonlinear behaviors of the tubular radius changes are also illustrated to show how the trachea luminal size alteration depends on the swelling/growth parameters and their effect on modifying tissue stiffness. The possibility of complete tracheal channel closure is also studied to understand if it is possible for the angioedema to close the airway. This article serves as an exemplary study on nonlinear deformation behaviors of human tubular organs with multiple layers.
KeywordsAngioedema Growth Hyperelasticity Morphoelasticity Swelling Trachea
Pak-Wing Fok is supported by a Simons Foundation Collaboration Grant #282579. Kun Gou is grateful to the 2018 Texas A&M University-San Antonio Research Council Grant and the College of Arts and Sciences Summer Faculty Research Fellowship.
- 1.Beitel GJ, Krasnow MA (2000) Genetic control of epithelial tube size in the Drosophila tracheal system. Development 127:3271–3282Google Scholar
- 8.Katz MA, Bresler EH (1984) Osmosis. In: Staub NC, Taylor AE (eds) Edema, pp 39–46 Raven Press, New YorkGoogle Scholar
- 22.Holzapfel GA (2001) Biomechanics of soft tissue. In: The handbook of materials behavior, pp 1–12Google Scholar
- 23.Natali AN, Carniel EL, Pavan PG, Dario P, Izzo I (2006) Hyperelastic models for the analysis of soft tissue mechanics: definition of constitutive parameters. In: The First IEEE/RAS-EMBS International Conference on Biomedical Robotics and Biomechatronics, pp 1–8Google Scholar
- 34.Gou K, Pence TJ (2017) Computational modeling of tracheal angioedema due to swelling of the submucous tissue layer. Int J Numer Method Biomed Eng 33(10): e2861Google Scholar