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Régulation mécanique de l'angiogenèse in vitro: analyse par un modèle aux dérivées partielles des interactions cellules-substrat

Patrick Namy 1
1 DynaCell
TIMC - Techniques de l'Ingénierie Médicale et de la Complexité - Informatique, Mathématiques et Applications, Grenoble - UMR 5525
Abstract : The outgrowth and formation of new vessels from a pre-existing vascular network, globally defined as angiogenesis, play a crucial role in many physiological and pathological processes, including wound healing and solid tumor growth. In our thesis, we analyze how mechanical factors (stiffness, viscosity, cellular traction) could regulate the capillary network formation. In a real interaction between experiments and modeling, we develop a theoretical biomechanical model of the onset of in vitro angiogenesis, in which angiogenesis is considered as a mechanical instability driven process. Our model is based on partial differential nonlinear equations, that have been solved by the finite element method. Thanks to linear and nonlinear stability analyses of homogenous steady state, we manage to determine the bifurcation points associated to Turing instability. We then extensively study the influence of parameters on network formation. Our numerical results are in very good agreement with experimental ones, obtained by our team or taken from literature. In the second part of this work, we study the mechanical regulation of extracellular matrix degradation. We show that degradation could be a key process of in vitro angiogenesis.
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Submitted on : Thursday, December 2, 2004 - 12:41:20 PM
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Patrick Namy. Régulation mécanique de l'angiogenèse in vitro: analyse par un modèle aux dérivées partielles des interactions cellules-substrat. Autre [q-bio.OT]. Université Joseph-Fourier - Grenoble I, 2004. Français. ⟨tel-00007601⟩

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