NONLINEAR OSCILLATIONS OF THE YATES-PARDEE-GOODWIN METABOLIC PATHWAY WITH COUPLING; THE ROLE OF EXTERIOR POOLS

Jean-Paul Morillon (1) , Saïd Doubabi , Robert Costalat

1 PIMENT - Physique et Ingénierie Mathématique pour l'Énergie, l'environnemeNt et le bâtimenT

An analytic method referred to as the harmonic balancing technique has been applied in order to study the effect of diffusion between compartments (coupling between pools) on the Yates-Pardee-Goodwin metabolic pathway. The behaviour of the pathway is modelled on a set of coupled ordinary nonlinear differential equations. This set is transformed into a single feedback control loop with a nonlinear function and a linear filter. It is shown that coupling modifies the linear filter such that the frequency and the amplitude of the oscillations decrease. Further results are then obtained by numerical studies, and compared with the analytical approach and previous stability analysis of metabolic pathways.

Mots clés: Metabolic pathways; pools; oscillations; compartments; enzyme organization; stability

Domaines: Interactions cellulaires [q-bio.CB]

Jean-Paul Morillon, Saïd Doubabi, Robert Costalat. NONLINEAR OSCILLATIONS OF THE YATES-PARDEE-GOODWIN METABOLIC PATHWAY WITH COUPLING; THE ROLE OF EXTERIOR POOLS. Journal of Biological Systems, 1997, Volume 05, Issue 02, June 1997, pp.285-300. ⟨10.1142/S0218339097000187⟩. ⟨hal-00967555⟩