Ghent University Academic Bibliography

Advanced

Fractional order models of the human respiratory system

Clara-Mihaela Ionescu UGent (2009)
abstract
The fractional calculus is a generalization of classical integer-order integration and derivation to fractional (non-integer) order operators. Fractional order (FO) models are those models which contain such fractional order operators. A common representation of these models is in frequency domain, due to its simplicity. The dynamical systems whose model can be approximated in a natural way using FO terms, exhibit specific features, such as viscoelasticity, diffusion and a fractal structure; hence the respiratory system is an ideal application for FO models. Although viscoelastic and diffusive properties were intensively investigated in the respiratory system, the fractal structure was ignored. Probably one of the reasons is that the respiratory system does not pose a perfect symmetry, hence failing to satisfy one of the conditions for being a typical fractal structure. In the 70s, the respiratory impedance determined by the ratio of air-pressure and air-flow, has been introduced in a model structure containing a FO term. It has also been shown that the fractional order models outperform integer-order models on input impedance measurements. However, there was a lack of underpinning theory to clarify the appearance of the fractional order in the FO model structure. The thesis describes a physiologically consistent approach to reach twofold objectives: 1. to provide a physiologically-based mathematical explanation for the necessity of fractional order models for the input impedance, and 2. to determine the capability of the best fractional order model to classify between healthy and pathological cases. Rather than dealing with a specific case study, the modelling approach presents a general method which can be used not only in the respiratory system application, but also in other similar systems (e.g. leaves, circulatory system, liver, intestines). Furthermore, we consider also the case when symmetry is not present (e.g. deformations in the thorax - kyphoscoliose) as well as various pathologies. We provide a proof-of-concept for the appearance of the FO model from the intrinsic structure of the respiratory tree. Several clinical studies are then conducted to validate the sensitivity and specificity of the FO model in healthy groups and in various pathological groups.
Please use this url to cite or link to this publication:
author
promoter
UGent
organization
alternative title
Fractionele-ordemodellen van het menselijke ademhalingssysteem
year
type
dissertation (monograph)
subject
pages
XII, 185 pages
publisher
Ghent University. Faculty of Engineering
place of publication
Ghent, Belgium
defense location
Gent : Faculteit Ingenieurswetenschappen (Jozef Plateauzaal)
defense date
2009-11-30 16:00
ISBN
9789085783183
language
English
UGent publication?
yes
classification
D1
copyright statement
I have retained and own the full copyright for this publication
id
790108
handle
http://hdl.handle.net/1854/LU-790108
alternative location
http://lib.ugent.be/fulltxt/RUG01/001/365/908/RUG01-001365908_2010_0001_AC.pdf
date created
2009-11-26 13:44:15
date last changed
2010-01-29 12:19:03
@phdthesis{790108,
  abstract     = {The fractional calculus is a generalization of classical integer-order integration and derivation to fractional (non-integer) order operators. Fractional order (FO) models are those models which contain such fractional order operators. A common representation of these models is in frequency domain, due to its simplicity. The dynamical systems whose model can be approximated in a natural way using FO terms, exhibit specific features, such as viscoelasticity, diffusion and a fractal structure; hence the respiratory system is an ideal application for FO models. 
Although viscoelastic and diffusive properties were intensively investigated in the respiratory system, the fractal structure was ignored. Probably one of the reasons is that the respiratory system does not pose a perfect symmetry, hence failing to satisfy one of the conditions for being a typical fractal structure. In the 70s, the respiratory impedance determined by the ratio of air-pressure and air-flow, has been introduced in a model structure containing a FO term. It has also been shown that the fractional order models outperform integer-order models on input impedance measurements. However, there was a lack of underpinning theory to clarify the appearance of the fractional order in the FO model structure. 
The thesis describes a physiologically consistent approach to reach twofold objectives: 
1. to provide a physiologically-based mathematical explanation for the necessity of fractional order models for the input impedance, and
2. to determine the capability of the best fractional order model to classify between healthy and pathological cases.
Rather than dealing with a specific case study, the modelling approach presents a general method which can be used not only in the respiratory system application, but also in other similar systems (e.g. leaves, circulatory system, liver, intestines). Furthermore, we consider also the case when symmetry is not present (e.g. deformations in the thorax - kyphoscoliose) as well as various pathologies. We provide a proof-of-concept for the appearance of the FO model from the intrinsic structure of the respiratory tree. Several clinical studies are then conducted to validate the sensitivity and specificity of the FO model in healthy groups and in various pathological groups.},
  author       = {Ionescu, Clara-Mihaela},
  isbn         = {9789085783183},
  language     = {eng},
  pages        = {XII, 185},
  publisher    = {Ghent University. Faculty of Engineering},
  school       = {Ghent University},
  title        = {Fractional order models of the human respiratory system},
  url          = {http://lib.ugent.be/fulltxt/RUG01/001/365/908/RUG01-001365908\_2010\_0001\_AC.pdf},
  year         = {2009},
}

Chicago
Ionescu, Clara-Mihaela. 2009. “Fractional Order Models of the Human Respiratory System”. Ghent, Belgium: Ghent University. Faculty of Engineering.
APA
Ionescu, C.-M. (2009). Fractional order models of the human respiratory system. Ghent University. Faculty of Engineering, Ghent, Belgium.
Vancouver
1.
Ionescu C-M. Fractional order models of the human respiratory system. [Ghent, Belgium]: Ghent University. Faculty of Engineering; 2009.
MLA
Ionescu, Clara-Mihaela. “Fractional Order Models of the Human Respiratory System.” 2009 : n. pag. Print.