On the Local Stability of Irreversible and Reversible Linear Metabolic Pathways with Allosteric and Genetic Regulation

Nacim Meslem (1)

1 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité

This work gives mathematical conditions that guarantee the local stability of the equilibrium regimen of two classes of cell metabolism. In fact, we have analyzed reversible and irreversible linear bacterial metabolic pathways that integrate both genetic and enzymatic control. Moreover, due to these conditions, we can state that: regardless the size of a doubly controlled linear metabolic pathway, the local stability of its steady state depends only on the dynamics of its input and output flux with respect to the concentration of its end product. These results are proved theoretically using some properties of the cooperative matrices.

Domaines: Automatique

Nacim Meslem. On the Local Stability of Irreversible and Reversible Linear Metabolic Pathways with Allosteric and Genetic Regulation. CAB 2013 - 12th IFAC Symposium on Computer Applications in Biotechnology, Dec 2013, Mumbai, India. pp.296-301. ⟨hal-00937941⟩