We propose to model the mammalian 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 the gas exchange between the interior and exterior of the body. The main result consists of proving the existence of a periodic solution under an arbitrary periodic forcing in suitable function spaces.
Breathing as a Periodic Gas Exchange in a Deformable Porous Medium / Eleuteri, M.; Ipocoana, Erica; Kopfova, J.; Krejci, P.. - 11:(2019), pp. 131-135. (Intervento presentato al convegno MURPHYS-HSFS-2018: INTERDISCIPLINARY WORKSHOP ON MULTIPLE SCALE SYSTEMS, SYSTEMS WITH HYSTERESIS AND TRENDS IN DYNAMICAL SYSTEMS tenutosi a Barcellona nel 28th May - 1st June) [10.1007/978-3-030-25261-8_20].
Breathing as a Periodic Gas Exchange in a Deformable Porous Medium
Eleuteri M.;IPOCOANA, ERICA;Kopfova J.;Krejci P.
2019
Abstract
We propose to model the mammalian 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 the gas exchange between the interior and exterior of the body. The main result consists of proving the existence of a periodic solution under an arbitrary periodic forcing in suitable function spaces.
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