A Theoretical Study on Modeling the Respiratory Tract With Ladder Networks by Means of Intrinsic Fractal Geometry

被引：43

作者：

Ionescu, Clara Mihaela ^{[1
]}

Muntean, Ionut ^{[2
]}

Tenreiro-Machado, J. A. ^{[3
]}

De Keyser, Robin ^{[1
]}

Abrudean, Mihail ^{[2
]}

机构：

[1] Univ Ghent, Dept Elect Energy Syst & Automat, B-9000 Ghent, Belgium

[2] Tech Univ Cluj Napoca, Dept Automat, Cluj Napoca 400020, Romania

[3] Polytech Inst Porto, Dept Elect Engn, Inst Engn, P-4200072 Oporto, Portugal

来源：

IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING | 2010年 / 57卷 / 02期

关键词：

Fractal structure; fractional calculus; frequency domain; input impedance; ladder network; respiratory system; MECHANICAL-PROPERTIES; INPUT IMPEDANCE; LUNG; SYSTEM; WALL;

D O I：

10.1109/TBME.2009.2030496

中图分类号：

R318 [生物医学工程];

学科分类号：

0831 ;

摘要：

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.

引用

页码：246 / 253

页数：8