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.
2019
MURPHYS-HSFS-2018: INTERDISCIPLINARY WORKSHOP ON MULTIPLE SCALE SYSTEMS, SYSTEMS WITH HYSTERESIS AND TRENDS IN DYNAMICAL SYSTEMS
Barcellona
28th May - 1st June
11
131
135
Eleuteri, M.; Ipocoana, Erica; Kopfova, J.; Krejci, P.
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].
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1188400
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact