Breathing as a Periodic Gas Exchange in a Deformable Porous
Medium

D 2019

Breathing as a Periodic Gas Exchange in a Deformable Porous Medium

KOPFOVÁ, Jana; Michela ELEUTERI; Erica IPOCOANA and Pavel KREJČÍ

Basic information

Original name

Breathing as a Periodic Gas Exchange in a Deformable Porous Medium

Authors

KOPFOVÁ, Jana (703 Slovakia, belonging to the institution); Michela ELEUTERI (380 Italy); Erica IPOCOANA (380 Italy, guarantor) and Pavel KREJČÍ (203 Czech Republic)

Edition

Cham, Switzerland, Extended Abstracts Spring 2018: Singularly Perturbed Systems, Multiscale, p. 131-135, 5 pp. 2019

Publisher

Springer International Publishing

Other information

Language

English

Type of outcome

Proceedings paper

Field of Study

10102 Applied mathematics

Country of publisher

Switzerland

Confidentiality degree

is not subject to a state or trade secret

Publication form

printed version "print"

References:

Trends in Mathematics

RIV identification code

RIV/47813059:19610/19:A0000059

Organization unit

Mathematical Institute in Opava

ISBN

978-3-030-25260-1

ISSN

DOI

https://doi.org/10.1007/978-3-030-25261-8_20

EID Scopus

2-s2.0-85072011912

Keywords (in Czech)

hysterezní operátory; periodická řešení; plíce savců; konvergentní schéma

Keywords in English

Hysteresis operators; periodic solutions; mammalian lungs; convergence scheme

Abstract

ORIG CZ

In the original language

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.

In Czech

Navrhujeme modelovat savčí plíce jako viskoelasticky deformovatelné porézní médium s hysteretickým vztahem mezi tlakem a objemem, který je popsaný Preisachovým operátorem. Dýchání je představováno jako izotermický časově-periodický proces s výměnou plynu mezi vnitřkem a vnějškem těla. Hlavním výsledkem je důkaz existence periodického řešení pod libovolným periodickým tlakem ve vhodných funkcionálních prostorech.

Cite

KOPFOVÁ, Jana; Michela ELEUTERI; Erica IPOCOANA and Pavel KREJČÍ. Breathing as a Periodic Gas Exchange in a Deformable Porous Medium. In Andrei Korobeinikov, Magdalena Caubergh, Tomás Lázaro, Josep Sardanyés. Extended Abstracts Spring 2018: Singularly Perturbed Systems, Multiscale. Cham, Switzerland: Springer International Publishing, 2019, p. 131-135. ISBN 978-3-030-25260-1. Available from: https://doi.org/10.1007/978-3-030-25261-8_20.

@inproceedings{32843,
   author = {Kopfová, Jana and Eleuteri, Michela and Ipocoana, Erica and Krejčí, Pavel},
   address = {Cham, Switzerland},
   booktitle = {Extended Abstracts Spring 2018: Singularly Perturbed Systems, Multiscale},
   doi = {https://doi.org/10.1007/978-3-030-25261-8_20},
   editor = {Andrei Korobeinikov, Magdalena Caubergh, Tomás Lázaro, Josep Sardanyés},
   keywords = {Hysteresis operators; periodic solutions; mammalian lungs; convergence scheme},
   howpublished = {tištěná verze "print"},
   language = {eng},
   location = {Cham, Switzerland},
   isbn = {978-3-030-25260-1},
   pages = {131-135},
   publisher = {Springer International Publishing},
   title = {Breathing as a Periodic Gas Exchange in a Deformable Porous Medium},
   url = {https://link.springer.com/chapter/10.1007%2F978-3-030-25261-8_20},
   year = {2019}
}

TY  - CONF
ID  - 32843
AU  - Kopfová, Jana - Eleuteri, Michela - Ipocoana, Erica - Krejčí, Pavel
PY  - 2019
TI  - Breathing as a Periodic Gas Exchange in a Deformable Porous Medium
PB  - Springer International Publishing
CY  - Cham, Switzerland
SN  - 9783030252601
KW  - Hysteresis operators
KW  - periodic solutions
KW  - mammalian lungs
KW  - convergence scheme
UR  - https://link.springer.com/chapter/10.1007%2F978-3-030-25261-8_20
L2  - https://link.springer.com/chapter/10.1007%2F978-3-030-25261-8_20
N2  - 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.
ER  -

KOPFOVÁ, Jana; Michela ELEUTERI; Erica IPOCOANA and Pavel KREJČÍ. Breathing as a Periodic Gas Exchange in a Deformable Porous Medium. In Andrei Korobeinikov, Magdalena Caubergh, Tomás Lázaro, Josep Sardanyés. \textit{Extended Abstracts Spring 2018: Singularly Perturbed Systems, Multiscale}. Cham, Switzerland: Springer International Publishing, 2019, p.~131-135. ISBN~978-3-030-25260-1. Available from: https://doi.org/10.1007/978-3-030-25261-8\_{}20.

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