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Modèle de tenségrité viscoélastique pour l'étude de la réponse dynamique des cellules adhérentes

Abstract : A viscoelastic tensegrity model (VTM) composed of 6 quasi-rigid bars and 24 viscoelastic cables is developed and its mechanical response is studied in both time and frequency domains in order to understand the role of the cytoskeleton structure in the cellular response during small and large deformations. Numerical simulations of both creep tests and forced oscillations are performed to determine the governing laws relating the global normalised viscoelastic properties (elasticity modulus E*, viscosity modulus 'eta'* and time constant 'tau'*) of the VTM to (i) the level of global deformation ('epsilon'), (ii) the local parameters defined at the reference state (normalised length L* and internal tension T*) and (iii) the imposed oscillatory frequency (f). When T* increases, the elasticity modulus (E*) increases while the time constant (tau*) decreases, the VTM behaviour being characterized by stiffening (E* proportional to T*0,5 ) and solidifying (tau* proportional to T*-0,4 ) processes, whereas the normalised viscosity modulus appears not significantly dependent on T* (eta* proportional to T*0,1 ). Moreover, increasing forced frequency results in stiffening (E* proportional to f*0,2 ), watering (eta* proportional to f*-0,2 ) and solidifying (tau* proportional to f*-0.4 ) processes. These numerical results are in satisfactorily agreement with the experimental results reported in living cells; in particular, the non significant role of the internal tension on the cellular viscosity could be related to eta* proportional to T*0,1 while the scale effect (probe size) appears in agreement with both softening and watering processes (E* proportional to L*-2 and eta* proportional to L*-2). When applied at the microcellular level by including the properties of the cytoskeletal biopolymers, the present viscoelastic tensegrity model seems to provide a consistent predictive evaluation of the contribution of the spatial reorganisation of CSK elements to the mechanical properties of the cellular architecture
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Contributor : Patrick Cañadas <>
Submitted on : Wednesday, August 6, 2003 - 2:42:46 PM
Last modification on : Wednesday, August 19, 2020 - 11:16:38 AM
Long-term archiving on: : Friday, April 2, 2010 - 7:00:52 PM


  • HAL Id : tel-00003235, version 1



Patrick Cañadas. Modèle de tenségrité viscoélastique pour l'étude de la réponse dynamique des cellules adhérentes. Autre. Université Paris XII Val de Marne, 2003. Français. ⟨tel-00003235⟩



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