NDLI: Fractional Derivatives Embody Essential Features of Cell Rheological Behavior

Content Provider	Springer Nature Link
Author	Djordjević, Vladan D. Jarić, Jovo Fabry, Ben Fredberg, Jeffrey J. Stamević, Dimitrije
Copyright Year	2003
Abstract	Mechanical moduli of cultured airway smooth muscle cells (Fabry, B., et al. Phys. Rev. Lett. 87:148102, 2001) reveal that the frequency dependence of cell rheological behavior conforms to a weak power-law relationship over a wide range of frequency (10-2 -103 Hz).Such a behavior cannot be accounted for by standard viscoelastic models characterized by a discrete number of time constants that have been commonly used in previous studies of cell viscoelasticity. Fractional calculus, by contrast, provides a natural framework for describing weak power-law relationships and requires no assumptions about the type of material, the time constant distribution or the time/frequency interval in which rheological observations are made. In this study, we developed a rheological model of the cell using methods of fractional calculus. We used a least-squares technique to fit the model to data previously obtained from measurements on airway smooth muscle cells. The fit provided an excellent correspondence to the data, and the estimated values of model parameters were physically plausible. The model leads to a novel and unexpected empirical link between dynamic viscoelastic behavior of the cytoskeleton and the static contractile stress that it bears. © 2003 Biomedical Engineering Society. PAC2003: 8719Rr, 8717Aa, 8719Ff, 8360Bc, 8380Lz
Starting Page	692
Ending Page	699
Page Count	8
File Format	PDF
ISSN	00906964
Journal	Annals of Biomedical Engineering
Volume Number	31
Issue Number	6
e-ISSN	15739686
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2003-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Biochemistry Mechanics Biophysics/Biomedical Physics Vibration, Dynamical Systems, Control Biomedical Engineering
Content Type	Text
Resource Type	Article
Subject	Biomedical Engineering

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