Abstract
We propose to model the lungs as a viscoelastic deformable porous medium with a hysteretic pressure–volume relationship described by the Preisach operator. Breathing is represented as an isothermal time-periodic process with gas exchange between the interior and exterior of the body. The main result consists in proving the existence of a periodic solution under an arbitrary periodic forcing in suitable function spaces.
Funder
European Regional Development Fund
RVO
Subject
Applied Mathematics,Modelling and Simulation,Numerical Analysis,Analysis,Computational Mathematics
Cited by
3 articles.
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