A theoretical study on modelling the respiratory tract with ladder networks by means of intrinsic fractal geometry
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.22/4312 |
Resumo: | Fractional order modeling of biological systems has received significant interest in the research community. Since the fractal geometry is characterized by a recurrent structure, the self-similar branching arrangement of the airways makes the respiratory system an ideal candidate for the application of fractional calculus theory. To demonstrate the link between the recurrence of the respiratory tree and the appearance of a fractional-order model, we develop an anatomically consistent representation of the respiratory system. This model is capable of simulating the mechanical properties of the lungs and we compare the model output with in vivo measurements of the respiratory input impedance collected in 20 healthy subjects. This paper provides further proof of the underlying fractal geometry of the human lungs, and the consequent appearance of constant-phase behavior in the total respiratory impedance. |
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A theoretical study on modelling the respiratory tract with ladder networks by means of intrinsic fractal geometryFractal structureFractional calculusFrequency domainInput impedanceLadder networkRespiratory systemFractional order modeling of biological systems has received significant interest in the research community. Since the fractal geometry is characterized by a recurrent structure, the self-similar branching arrangement of the airways makes the respiratory system an ideal candidate for the application of fractional calculus theory. To demonstrate the link between the recurrence of the respiratory tree and the appearance of a fractional-order model, we develop an anatomically consistent representation of the respiratory system. This model is capable of simulating the mechanical properties of the lungs and we compare the model output with in vivo measurements of the respiratory input impedance collected in 20 healthy subjects. This paper provides further proof of the underlying fractal geometry of the human lungs, and the consequent appearance of constant-phase behavior in the total respiratory impedance.IEEERepositório Científico do Instituto Politécnico do PortoIonescu, Clara M.Muntean, IonutMachado, J. A. TenreiroKeyser, Robin DeAbrudean, Mihail2014-04-04T11:29:44Z20102010-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/4312eng0018-929410.1109/TBME.2009.2030496metadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-03-13T12:44:25Zoai:recipp.ipp.pt:10400.22/4312Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:25:12.384969Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
A theoretical study on modelling the respiratory tract with ladder networks by means of intrinsic fractal geometry |
title |
A theoretical study on modelling the respiratory tract with ladder networks by means of intrinsic fractal geometry |
spellingShingle |
A theoretical study on modelling the respiratory tract with ladder networks by means of intrinsic fractal geometry Ionescu, Clara M. Fractal structure Fractional calculus Frequency domain Input impedance Ladder network Respiratory system |
title_short |
A theoretical study on modelling the respiratory tract with ladder networks by means of intrinsic fractal geometry |
title_full |
A theoretical study on modelling the respiratory tract with ladder networks by means of intrinsic fractal geometry |
title_fullStr |
A theoretical study on modelling the respiratory tract with ladder networks by means of intrinsic fractal geometry |
title_full_unstemmed |
A theoretical study on modelling the respiratory tract with ladder networks by means of intrinsic fractal geometry |
title_sort |
A theoretical study on modelling the respiratory tract with ladder networks by means of intrinsic fractal geometry |
author |
Ionescu, Clara M. |
author_facet |
Ionescu, Clara M. Muntean, Ionut Machado, J. A. Tenreiro Keyser, Robin De Abrudean, Mihail |
author_role |
author |
author2 |
Muntean, Ionut Machado, J. A. Tenreiro Keyser, Robin De Abrudean, Mihail |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Repositório Científico do Instituto Politécnico do Porto |
dc.contributor.author.fl_str_mv |
Ionescu, Clara M. Muntean, Ionut Machado, J. A. Tenreiro Keyser, Robin De Abrudean, Mihail |
dc.subject.por.fl_str_mv |
Fractal structure Fractional calculus Frequency domain Input impedance Ladder network Respiratory system |
topic |
Fractal structure Fractional calculus Frequency domain Input impedance Ladder network Respiratory system |
description |
Fractional order modeling of biological systems has received significant interest in the research community. Since the fractal geometry is characterized by a recurrent structure, the self-similar branching arrangement of the airways makes the respiratory system an ideal candidate for the application of fractional calculus theory. To demonstrate the link between the recurrence of the respiratory tree and the appearance of a fractional-order model, we develop an anatomically consistent representation of the respiratory system. This model is capable of simulating the mechanical properties of the lungs and we compare the model output with in vivo measurements of the respiratory input impedance collected in 20 healthy subjects. This paper provides further proof of the underlying fractal geometry of the human lungs, and the consequent appearance of constant-phase behavior in the total respiratory impedance. |
publishDate |
2010 |
dc.date.none.fl_str_mv |
2010 2010-01-01T00:00:00Z 2014-04-04T11:29:44Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10400.22/4312 |
url |
http://hdl.handle.net/10400.22/4312 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0018-9294 10.1109/TBME.2009.2030496 |
dc.rights.driver.fl_str_mv |
metadata only access info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
metadata only access |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
IEEE |
publisher.none.fl_str_mv |
IEEE |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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