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Analyzing the interplay between single cell rheology and force generation through large deformation finite element
E Monteiro1, J Yvonnet, Q-C He
1Université Paris-Est, Laboratoire Modélisation et Simulation Multi Echelle, MSME UMR 8208 CNRS, 5 Bd Descartes, 77454 Marne-la-Vallée, France. eric.monteiro@univ-paris-est.fr
Biomechanics and Modeling in Mechanobiology
|December 25, 2010
Summary
Finite element modeling of cell spreading reveals mechanical properties. Cell cortex elasticity is ~1,000 Pa, while interior viscosity or elasticity varies, explaining force generation and focal contact localization.
Area of Science:
- Biophysics
- Cell Mechanics
- Computational Biology
Background:
- Understanding cell mechanical properties is crucial for cell behavior.
- Cell spreading dynamics influence cell shape, force generation, and focal adhesion formation.
- Previous studies have measured cell mechanical properties using parallel plate setups.
Purpose of the Study:
- To extract mechanical properties of single cells during spreading using finite element modeling.
- To investigate the relationship between cell spreading, shape evolution, and traction force generation.
- To explain the localization of force-sensitive focal contacts at cell edges.
Main Methods:
- Finite element modeling (FEM) of cell spreading between two parallel microplates.
- Axisymmetric computations at finite strains to model cell shape evolution and traction forces.
- Modeling the cell as two distinct components: a hyperelastic cortex and a Newtonian fluid or hyperelastic interior.
Main Results:
- The elastic modulus of the cell cortex was estimated at approximately 1,000 Pa.
- The cell interior exhibited a viscosity of 1,000 Pa.s (biphasic model) or an elastic modulus of 100 Pa (hyperelastic model).
- Stresses were observed to concentrate at the edge of the cell-substrate contact area.
Conclusions:
- FEM analysis successfully extracted cell mechanical properties consistent with experimental data.
- Cell spreading and mechanical straining are linked to the force applied by the cell on its substrate.
- The findings provide a simple explanation for the concentration of focal contacts at cell edges.

