Fractional calculus for respiratory mechanics: Power law impedance, viscoelasticity, and tissue heterogeneity

被引：49
作者：
Ionescu, Clara [1 ]
Kelly, James F. [2 ]
机构：
[1] Univ Ghent, Dept Elect Energy Met Mech Construct & Syst EEMMe, Res Grp Dynam Syst & Control DySC, Technol Pk 914, B-9052 Ghent, Belgium
[2] Michigan State Univ, Dept Stat & Probabil, E Lansing, MI 48824 USA
来源：
CHAOS SOLITONS & FRACTALS | 2017年 / 102卷
关键词：
Fractional calculus; Respiratory mechanics; Fractional order impedance model; Viscoelasticity; Heterogeneity; SPECTRAL DIMENSION; LADDER MODELS; CAT LUNG; IDENTIFICATION; DEPOSITION; EQUATIONS; CHEST;
D O I：
10.1016/j.chaos.2017.03.054
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper presents a synopsis of fractional calculus tools for characterising respiratory mechanics. A discussion on power law impedance, viscoelasticity and tissue heterogeneity is made based on morphological and structural properties of lungs. Although targeted towards respiratory system applications, these tools can serve as a basis for modelling other biological structures as well. The paper underlines the importance of characterising the viscoelastic properties of the respiratory tissue and its time-varying properties as a function of disease progress. Perspectives are suggested for developing models able to mimic disease progression and understand treatment effects for better therapeutic management. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：433 / 440
页数：8
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