Seminar Details
2007-03-06 (14pm) : "Hypergraphs, Metabolic Networks and Bioreaction Systems"
At Auditoire Euler
Organized by Mathematical Engineering
Speaker :
Bastin, Georges
Abstract :
The intracellular metabolism is currently represented by a metabolic network.
A metabolic network is a directed hypergraph that encodes a set of elementary biochemical
reactions taking place within the cell. In this hypergraph, the nodes represent the involved metabolites
and the edges represent the metabolic fluxes. In this talk, the goal is to design a minimal dynamic bioreaction model for
a cellular process in the situation where (a) the model is based on the knowledge of a detailed underlying metabolic network, (b)
measurements of extra-cellular species in the reactor are the only available measurements. We follow a systematic "model reduction"
approach that automatically produces a family of equivalent models involving a minimal set of bioreactions while being fully compatible
with the underlying metabolism and consistent with the available experimental data. The main tool to achieve this task is the decomposition
of the flux distribution encoded by the hypergraph as a non-negative linear combination of basis vectors that represent the simplest
admissible metabolic pathways of the network and form a unique convex basis of the set of admissible flux distributions. As a matter of
illustration and motivation to the theory, we consider the example of chinese hamster ovary cells producing interferon.