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

Clara Ionescu and James F. Kelly

Chaos, Solitons & Fractals, 2017, vol. 102, issue C, 433-440

Abstract: 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.

Keywords: Fractional calculus; Respiratory mechanics; Fractional order impedance model; Viscoelasticity; Heterogeneity (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:102:y:2017:i:c:p:433-440

DOI: 10.1016/j.chaos.2017.03.054

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