TY - THES UR - http://lib.ugent.be/catalog/pug01:790108 ID - pug01:790108 LA - eng TI - Fractional order models of the human respiratory system PY - 2009 SN - 9789085783183 PB - Ghent AU - Ionescu, Clara-Mihaela TW08 002002921775 AU - De Keyser, Robain promotor AB - 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, and2. 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. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 790108 | ||
005 | 20170116105151.0 | ||
008 | 091126s2009------------------------eng-- | ||
020 | a 9789085783183 | ||
024 | a 1854/LU-790108 2 handle | ||
040 | a UGent | ||
245 | a Fractional order models of the human respiratory system | ||
246 | a Fractionele-ordemodellen van het menselijke ademhalingssysteem | ||
260 | a Ghent, Belgium b Ghent University. Faculty of Engineering c 2009 | ||
518 | a Public defense: 2009-11-30 16:00 | ||
520 | a 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, and2. 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. | ||
598 | a D1 | ||
100 | a Ionescu, Clara-Mihaela u TW08 0 002002921775 0 801001811533 | ||
700 | a De Keyser, Robain e promotor u TW08 0 801000334204 | ||
852 | x TW b TW08 | ||
650 | a Technology and Engineering | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/790108/file/4335100 z [open] y doctoraat_Ionescu_Bis.pdf | ||
920 | a phd | ||
852 | x EA b TW08 | ||
922 | a UGENT-EA |
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