Some ongoing projects
Some ongoing projects are briefly presented here and because science is collaboration, schematic and fun, some of our sketches are provided too.

Abstraction of structure and dynamicsInformation simplification is a current challenge in brain modeling. Mathematical and simulation technics are developped to simplify both anatomical structure and electrical activities of neural networks. This is done either theoretically (e.g., using general systems) or in collaboration with biologists to achieve plausible abstractions (e.g., simplifying the dendritic arborisation of neurons). 

Firing delays and synchronization in stochastic graphsUsing stochastic neurons and graphs allows, while keeping a discrete approach, studying large networks of neurons at the average. Then, many questions about the behavior of the network can be explored: How long will it be for the whole neurons to fire together? What structural and behavioral parameters lead to periodic firing activities? Which subassemblies of neurons frequently fire together? Etc. However, exploring the behavior of these networks can be hard analytically for some parameters. It is useful then to use in silico experiments to explore automatically these unknown behaviors. Having well designed, reusable and reproducible abstract simulators for such stochastic and parallel models also requires the original definition of new general mathematical (computational) structures while having efficiently implementable programs. This project constitutes a good example of defining a coherent multilevel mathematical and operational framework from modeling to simulation. 