Mathematical Modelling of Fibroblast shape Transition on Arrays of Adhesive Micropatterns with Varying Pitch - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Communication Dans Un Congrès Année : 2008

Mathematical Modelling of Fibroblast shape Transition on Arrays of Adhesive Micropatterns with Varying Pitch

Résumé

Cell adhesion to the extracellular matrix is crucial to many physiological events since it underlies cell motility and cell proliferation. Cell shape and cell migration depend on the forces developed within the cytoskeleton. These forces are highly regulated at the adhesion site through feedback mechanisms. The observation of cells plated on culture dishes shows continuous membrane oscillations with recurring patterns. In that experimental case, the cell cytoskeleton dynamics never reaches a steady state since adhesion is homogeneous and never strong enough for forces to develop and to stabilize the cell shape. Engineered micrometric adhesive patches have therefore been used to discretize and limit the surface for cell adhesion. With these new adhesive conditions, the cell becomes able to develop stronger adhesions through a mechanism of integrin clustering and to develop competing stress fibers ultimately converging to stable geometrical cell shapes. Arrays of adhesive micropatches with different pitches have been considered. Fibroblast cells have been shown to adapt their shape according to the pitch length. For small pitches, fibroblasts adopt their characteristic " starry " shape. Transition from square to triangular and then to bipolar shapes are then observed when increasing the pitches of the adhesive arrays from 4 up to 20µm. A mathematical model has been developed to describe the observed cell shape transitions. The model describes the cell membrane deformations in connection with the intracellular actin dynamics. A discrete extension to the continous model formulation allows to take into account the process by which the adhesions form and mature through integrin recruitement and stimulate the formation of actin stress fibres. The intensity and distribution of the tension forces developed in the actin fibres ultimately determine the cell stable shape. The model is thus able to reproduce successively the observed shape transitions. Moreover, the model shows that the admissible level of membrane extension is conditionning the stable geometry of the cell for a given pitch. The main limitation of the model is the use of phenomenological rules to describe the maturation of the adhesion and stress fibres. In a future work we aim to refine the model by taking explicitly into account the regulation mechanisms of the most important cystoskeletal proteins (Arp2/3, cofilin, gelsolin).
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Dates et versions

hal-00340399 , version 1 (20-11-2008)

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  • HAL Id : hal-00340399 , version 1

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Angélique Stéphanou, Tzvetelina Tzvetkova-Chevolleau, David Fuard, Philippe Tracqui, Patrick Schiavone. Mathematical Modelling of Fibroblast shape Transition on Arrays of Adhesive Micropatterns with Varying Pitch. ECMTB08; European Conference on Mathematical and Theoretical Biology, Jun 2008, Edinburgh, United Kingdom. ⟨hal-00340399⟩
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