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Originally published as Biophys J. BioFAST on December 13, 2004.
doi:10.1529/biophysj.104.050278
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Biophysical Journal 88:2224-2233 (2005)
© 2005 The Biophysical Society

Creep Function of a Single Living Cell

Nicolas Desprat, Alain Richert, Jacqueline Simeon and Atef Asnacios

Laboratoire de Biorhéologie et d'Hydrodynamique Physico-chimique, Université Paris VII, and Centre National de la Recherche Scientifique UMR 7057 and FR 2438 "Matière et Systèmes Complexes", Paris, France

Correspondence: Address reprint requests to Atef Asnacios, Tel.: 33-1-44-27-61-10; Fax: 33-1-44-27-43-35; E-mail: asnacios{at}ccr.jussieu.fr.

We used a novel uniaxial stretching rheometer to measure the creep function J(t) of an isolated living cell. We show, for the first time at the scale of the whole cell, that J(t) behaves as a power-law J(t) = At{alpha}. For N = 43 mice myoblasts (C2-7), we find {alpha} = 0.24 ± 0.01 and A = (2.4 ± 0.3) 10–3 Pa–1 s{alpha}. Using Laplace Transforms, we compare A and {alpha} to the parameters G0 and ß of the complex modulus G*({omega}) = G0{omega}ß measured by other authors using magnetic twisting cytometry and atomic force microscopy. Excellent agreement between A and G0 on the one hand, and between {alpha} and ß on the other hand, indicated that the power-law is an intrinsic feature of cell mechanics and not the signature of a particular technique. Moreover, the agreement between measurements at very different size scales, going from a few tens of nanometers to the scale of the whole cell, suggests that self-similarity could be a central feature of cell mechanical structure. Finally, we show that the power-law behavior could explain previous results first interpreted as instantaneous elasticity. Thus, we think that the living cell must definitely be thought of as a material with a large and continuous distribution of relaxation time constants which cannot be described by models with a finite number of springs and dash-pots.




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