Poète en morceaux, morceaux de poète

Analyse qualitative de la dynamique de réseaux de régulation génique par des modèles linéaires par morceaux

The functioning and development of living organisms is controlled by large and complex networks of genes, proteins, small molecules, and their interactions, so-called genetic regulatory networks. In this review we discuss a method for the qualitative modeling and simulation of genetic regulatory networks which is well-adapted to the current lack of precise and quantitative biological data. The ...

Sur les homéomorphismes du cercle de classe P Cr par morceaux (r1) qui sont conjugués Cr par morceaux aux rotations irrationnelles

— Let r > 1 be a real. In this paper, we study piecewise class P Cr circle homeomorphisms with irrational rotation numbers. We give characterizations for such homeomorphisms that are piecewise Cr conjugate to Cr diffeomorphisms. As a consequence, we obtain a criterion of piecewise Cr conjugacy to diophantine rotations. This characterization extends those obtained by Liousse for the PL circle ho...

Maillages de volumes bornés par des surfaces lisses par morceaux. (Meshing Volumes bounded by Piecewise Smooth Surfaces)

All-Purpose Texture Sprites

We propose a representation for efficiently and conveniently storing texture patches on surfaces without parameterization. The main purpose is to texture surfaces at very high resolution while using very little memory: patterns are stored once while instance (i.e., sprites) attributes (pattern number, size, orientation) are stored in an octree-like structure (requiring no surface parameterizati...

Comparison between Boolean and piecewise affine differential models for genetic networks

Multi-level discrete models of genetic networks, or the more general piecewise affine differential models, provide qualitative information on the dynamics of the system, based on a small number of parameters (such as synthesis and degradation rates). Boolean models also provide qualitative information, but are based simply on the structure of interconnections. To explore the relationship betwee...