dorsal/arxiv
View SchemaPower laws in microrheology experiments on living cells: comparative analysis and modelling
| Authors | Martial Balland, Nicolas Desprat, Delphine Icard, Sophie Fereol, Atef Asnacios, Julien Browaeys, Sylvie Henon, Francois Gallet |
|---|---|
| Categories | |
| ArXiv ID | physics/0603211 |
| URL | https://arxiv.org/abs/physics/0603211 |
| DOI | 10.1103/PhysRevE.74.021911 |
| Journal | Phys. Rev. E 74, 021911 (2006) |
Abstract
We compare and synthesize the results of two microrheological experiments on the cytoskeleton of single cells. In the first one, the creep function J(t) of a cell stretched between two glass plates is measured after applying a constant force step. In the second one, a micrometric bead specifically bound to transmembrane receptors is driven by an oscillating optical trap, and the viscoelastic coefficient $G_e(\omega)$ is retrieved. Both $J(t)$ and $G_e(\omega)$ exhibit power law behavior: $J(t)= A(t/t_0)^\alpha$ and $\bar G_e(\omega)\bar = G_0 (\omega/\omega_0)^\alpha$, with the same exponent $\alpha\approx 0.2$. This power law behavior is very robust ; $\alpha$ is distributed over a narrow range, and shows almost no dependance on the cell type, on the nature of the protein complex which transmits the mechanical stress, nor on the typical length scale of the experiment. On the contrary, the prefactors $A_0$ and $G_0$appear very sensitive to these parameters. Whereas the exponents $\alpha$ are normally distributed over the cell population, the prefactors $A_0$ and $G_0$ follow a log-normal repartition. These results are compared with other data published in the litterature. We propose a global interpretation, based on a semi-phenomenological model, which involves a broad distribution of relaxation times in the system. The model predicts the power law behavior and the statistical repartition of the mechanical parameters, as experimentally observed for the cells. Moreover, it leads to an estimate of the largest response time in the cytoskeletal network: $\tau_m \approx 1000$ s.
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"abstract": "We compare and synthesize the results of two microrheological experiments on\nthe cytoskeleton of single cells. In the first one, the creep function J(t) of\na cell stretched between two glass plates is measured after applying a constant\nforce step. In the second one, a micrometric bead specifically bound to\ntransmembrane receptors is driven by an oscillating optical trap, and the\nviscoelastic coefficient $G_e(\\omega)$ is retrieved. Both $J(t)$ and\n$G_e(\\omega)$ exhibit power law behavior: $J(t)= A(t/t_0)^\\alpha$ and $\\bar\nG_e(\\omega)\\bar = G_0 (\\omega/\\omega_0)^\\alpha$, with the same exponent\n$\\alpha\\approx 0.2$. This power law behavior is very robust ; $\\alpha$ is\ndistributed over a narrow range, and shows almost no dependance on the cell\ntype, on the nature of the protein complex which transmits the mechanical\nstress, nor on the typical length scale of the experiment. On the contrary, the\nprefactors $A_0$ and $G_0$appear very sensitive to these parameters. Whereas\nthe exponents $\\alpha$ are normally distributed over the cell population, the\nprefactors $A_0$ and $G_0$ follow a log-normal repartition. These results are\ncompared with other data published in the litterature. We propose a global\ninterpretation, based on a semi-phenomenological model, which involves a broad\ndistribution of relaxation times in the system. The model predicts the power\nlaw behavior and the statistical repartition of the mechanical parameters, as\nexperimentally observed for the cells. Moreover, it leads to an estimate of the\nlargest response time in the cytoskeletal network: $\\tau_m \\approx 1000$ s.",
"arxiv_id": "physics/0603211",
"authors": [
"Martial Balland",
"Nicolas Desprat",
"Delphine Icard",
"Sophie Fereol",
"Atef Asnacios",
"Julien Browaeys",
"Sylvie Henon",
"Francois Gallet"
],
"categories": [
"physics.bio-ph"
],
"doi": "10.1103/PhysRevE.74.021911",
"journal_ref": "Phys. Rev. E 74, 021911 (2006)",
"title": "Power laws in microrheology experiments on living cells: comparative analysis and modelling",
"url": "https://arxiv.org/abs/physics/0603211"
},
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