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Article Dans Une Revue Comptes Rendus. Mathématique Année : 2003

A chemotaxis model motivated by angiogenesis

Résumé

We consider a simple model arising in modeling angiogenesis and more specifically the development of capillary blood vessels due to an exogenous chemo-attractive signal (solid tumors for instance). It is given as a system of parabolic equations coupled through a nonlinear transport term. We show that, in contrast to some classical chemotaxis models, this system admits a positive energy. This allows us to develop an existence theory for weak solutions. We also show that, in two dimensions, this system admits a family of self-similar waves.

Dates et versions

hal-04271231 , version 1 (06-11-2023)

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Lucilla Corrias, B Perthame, H Zaag. A chemotaxis model motivated by angiogenesis. Comptes Rendus. Mathématique, 2003, 336 (2), pp.141-146. ⟨10.1016/S1631-073X(02)00008-0⟩. ⟨hal-04271231⟩
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