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The Keller-Segel system describes the collective motion of cells which are attracted by a chemical substance and are able to emit it. In its simplest form it is a conservative drift-diffusionâ€¦ (More)

- Sylviane Spinella-Jaegle, Georges Rawadi, +10 authors Sergio RomÃ¡n-RomÃ¡n
- Journal of cell science
- 2001

The proteins of the hedgehog (Hh) family regulate various aspects of development. Recently, members of this family have been shown to regulate skeletal formation in vertebrates and to control bothâ€¦ (More)

- Adrien Blanchet, Matteo Bonforte, Jean Dolbeault, Gabriele Grillo, Juan-Luis VÃ¡zquez
- 2007

We consider non-negative solutions of the fast diffusion equation ut = âˆ†u m with m âˆˆ (0, 1), in the Euclidean space R, d â‰¥ 3, and study the asymptotic behavior of a natural class of solutions, in theâ€¦ (More)

This paper is devoted to the analysis of non-negative solutions for a generalisation of the classical parabolic-elliptic PatlakKeller-Segel system with d â‰¥ 3 and porous medium-like non-linearâ€¦ (More)

- Sylviane Spinella-Jaegle, Sergio RomÃ¡n-RomÃ¡n, +8 authors Georges Rawadi
- Bone
- 2001

Several members of the transforming growth factor-beta (TGF-beta) superfamily have been demonstrated to play regulatory roles in osteoblast differentiation and maturation, but the mechanisms by whichâ€¦ (More)

- Adrien Blanchet, Vincent Calvez, JosÃ© A. Carrillo
- SIAM J. Numerical Analysis
- 2008

Abstract. Variational steepest descent approximation schemes for the modified Patlak-KellerSegel equation with a logarithmic interaction kernel in any dimension are considered. We prove theâ€¦ (More)

- Chi Faucheu, A. Diu, +7 authors Judith A. Lippke
- The EMBO journal
- 1995

We have identified a novel cDNA encoding a protein (named TX) with > 50% overall sequence identity with the interleukin-1 beta converting enzyme (ICE) and approximately 30% sequence identity with theâ€¦ (More)

- Adrien Blanchet, Guillaume Carlier
- Math. Oper. Res.
- 2016

Abstract We study a class of games with a continuum of players for which Cournot-Nash equilibria can be obtained by the minimisation of some cost, related to optimal transport. This cost is notâ€¦ (More)

- Jean-Philippe Bartier, Adrien Blanchet, Jean Dolbeault, Miguel Escobedo
- Appl. Math. Lett.
- 2011

This letter is devoted to results on intermediate asymptotics for the heat equation. We study the convergence towards a stationary solution in self-similar variables. By assuming the equality of someâ€¦ (More)

The Keller-Segel system describes the collective motion of cells that are attracted by a chemical substance and are able to emit it. In its simplest form, it is a conservative drift-diffusionâ€¦ (More)