Shear rheology of a cell monolayer

We report a systematic investigation of the mechanical properties of fibroblast cells using a novel cell monolayer rheology (CMR) technique. The new technique provides quantitative rheological parameters averaged over ~106 cells making the experiments highly reproducible. Using this method, we are able to explore a broad range of cell responses not accessible using other present day techniques. We perform harmonic oscillation experiments and step shear or step stress experiments to reveal different viscoelastic regimes. The evolution of the live cells under externally imposed cyclic loading and unloading is also studied. Remarkably, the initially nonlinear response becomes linear at long timescales as well as at large amplitudes. Within the explored rates, nonlinear behaviour is only revealed by the effect of a nonzero average stress on the response to small, fast deformations. When the cell cytoskeletal crosslinks are made permanent using a fixing agent, the large amplitude linear response disappears and the cells exhibit a stress stiffening response instead. This result shows that the dynamic nature of the cross-links and/or filaments is responsible for the linear stress-strain response seen under large deformations. We rule out the involvement of myosin motors in this using the inhibitor drug blebbistatin. These experiments provide a broad framework for understanding the mechanical responses of the cortical actin cytoskeleton of fibroblasts to different imposed mechanical stimuli.

[1]  Jochen Guck,et al.  Viscoelastic properties of individual glial cells and neurons in the CNS , 2006, Proceedings of the National Academy of Sciences.

[2]  Andreas R. Bausch,et al.  A bottom-up approach to cell mechanics , 2006 .

[3]  T van Dillen,et al.  Alternative explanation of stiffening in cross-linked semiflexible networks. , 2005, Physical review letters.

[4]  J. Fredberg,et al.  Linearity and time-scale invariance of the creep function in living cells , 2004, Journal of The Royal Society Interface.

[5]  Frederick Grinnell,et al.  Fibroblasts, myofibroblasts, and wound contraction , 1994, The Journal of cell biology.

[6]  P. Janmey,et al.  Nonlinear elasticity in biological gels , 2004, Nature.

[7]  G I Zahalak,et al.  Cell mechanics studied by a reconstituted model tissue. , 2000, Biophysical journal.

[8]  豊岡 了,et al.  Optics, E. Hecht & A. Zajac, Addison-Wesley Publ. Co., 1974 , 1984 .

[9]  H. Green,et al.  Antigenic and cultural properties of cells doubly transformed by polyoma virus and SV40. , 1965, Virology.

[10]  B. Hinz,et al.  Mechanical tension controls granulation tissue contractile activity and myofibroblast differentiation. , 2001, The American journal of pathology.

[11]  Peter Haupt,et al.  Continuum Mechanics and Theory of Materials , 1999 .

[12]  A. Richert,et al.  The dissipative contribution of myosin II in the cytoskeleton dynamics of myoblasts , 2005, European Biophysics Journal.

[13]  Pablo Fernández,et al.  A master relation defines the nonlinear viscoelasticity of single fibroblasts. , 2006, Biophysical journal.

[14]  W. Prager,et al.  Mechanik isotroper Körper im plastischen Zustand , 1934 .

[15]  Timothy J Mitchison,et al.  Dissecting Temporal and Spatial Control of Cytokinesis with a Myosin II Inhibitor , 2003, Science.

[16]  C J Weijer,et al.  The role of the cortical cytoskeleton: F-actin crosslinking proteins protect against osmotic stress, ensure cell size, cell shape and motility, and contribute to phagocytosis and development. , 1996, Journal of cell science.

[17]  Stefan Schinkinger,et al.  Optical rheology of biological cells. , 2005, Physical review letters.

[18]  R. Taguchi,et al.  Serum Lysophosphatidic Acid Is Produced through Diverse Phospholipase Pathways* , 2002, The Journal of Biological Chemistry.

[19]  Albrecht Ott,et al.  Rheological properties of the Eukaryotic cell cytoskeleton , 2007 .

[20]  P. Janmey The cytoskeleton and cell signaling: component localization and mechanical coupling. , 1998, Physiological reviews.

[21]  J. Simeon,et al.  Creep function of a single living cell. , 2005, Biophysical journal.

[22]  K. Rottner,et al.  Visualising the actin cytoskeleton , 1999, Microscopy research and technique.

[23]  P. Janmey,et al.  Mechanical perturbation elicits a phenotypic difference between Dictyostelium wild-type cells and cytoskeletal mutants. , 1996, Biophysical journal.

[24]  I. Spector,et al.  Latrunculins: novel marine toxins that disrupt microfilament organization in cultured cells. , 1983, Science.

[25]  H. Henning Winter,et al.  Analysis of Linear Viscoelasticity of a Crosslinking Polymer at the Gel Point , 1986 .

[26]  P. Fernández Mechanics of living cells: nonlinear viscoelasticity of single fibroblasts and shape instabilities in axons , 2006 .

[27]  Erhard Krempl,et al.  6 – A Small-Strain Viscoplasticity Theory Based on Overstress , 1996 .

[28]  G Salbreux,et al.  Shape oscillations of non-adhering fibroblast cells , 2007, Physical biology.

[29]  Pablo Fernández,et al.  Single cell mechanics: stress stiffening and kinematic hardening. , 2007, Physical review letters.

[30]  A. Pipkin,et al.  Lectures on Viscoelasticity Theory , 1972 .

[31]  S. Nemat-Nasser Plasticity: A Treatise on Finite Deformation of Heterogeneous Inelastic Materials , 2004 .

[32]  U. F. Kocks Constitutive Behavior Based on Crystal Plasticity , 1987 .

[33]  Peter Grütter,et al.  Probing the viscoelastic behavior of cultured airway smooth muscle cells with atomic force microscopy: stiffening induced by contractile agonist. , 2005, Biophysical journal.

[34]  D. C. Stouffer,et al.  Inelastic Deformation of Metals: Models, Mechanical Properties, and Metallurgy , 1996 .

[35]  Dennis Bray,et al.  Cell Movements: From Molecules to Motility , 1992 .

[36]  J. Käs,et al.  The optical stretcher: a novel laser tool to micromanipulate cells. , 2001, Biophysical journal.

[37]  D. Navajas,et al.  Scaling the microrheology of living cells. , 2001, Physical review letters.

[38]  R. Paul,et al.  Effects of microtubules and microfilaments on [Ca(2+)](i) and contractility in a reconstituted fibroblast fiber. , 2000, American journal of physiology. Cell physiology.

[39]  Y. Fung,et al.  Biomechanics: Mechanical Properties of Living Tissues , 1981 .

[40]  H. Green,et al.  QUANTITATIVE STUDIES OF THE GROWTH OF MOUSE EMBRYO CELLS IN CULTURE AND THEIR DEVELOPMENT INTO ESTABLISHED LINES , 1963, The Journal of cell biology.

[41]  J. Sellers,et al.  Mechanism of Blebbistatin Inhibition of Myosin II* , 2004, Journal of Biological Chemistry.

[42]  A. Menzel,et al.  Modeling and Simulation of Remodeling in Soft Biological Tissues , 2006 .

[43]  C. Heussinger,et al.  Floppy modes and nonaffine deformations in random fiber networks. , 2006, Physical review letters.