A FEW ASPECTS OF MASS-ACTION SHEAVES

Alexandru Iosif (1)

1 JRC-COMBINE - Joint Research Center for Computational Biomedicine, Aachen

We emphasize that the set of mass-action networks on a fixed set of species should be regarded as a monoid, for the mass-action approximation works under the homogeneity assumption, while in real systems this is only locally true. Hence, if one seeks a meaningful global approximation of mass-action form, one should regard mass-action networks as local pictures of a more general object. In this article we propose sheaves as a natural framework for evolving chemical reaction networks.

Domaines: Réseaux moléculaires [q-bio.MN]

Alexandru Iosif. A FEW ASPECTS OF MASS-ACTION SHEAVES. 2019. ⟨hal-02296867⟩