Multiple steady state profiles in interconnected biological systems

Abstract : This paper deals with a generic approach for the analysis of interconnected biological systems. The equilibrium points as well as the asymptotic behaviour of these systems are investigated from a qualitative point of view. In particular, a new generic approach is used to show that a series of Continuously Stirred Tank Reactors (CSTRs) can exhibit multiple steady state profiles, for any non-monotonic kinetics. This multiplicity property disappears when the number of reactors becomes sufficiently large (for a given total volume). These results are to be taken in account when CSTRs in series are used to approximate a Piston Flow Reactor (PFR).
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Abdou Khadry Dramé, Jerome Harmand, Alain Rapaport, Claude Lobry. Multiple steady state profiles in interconnected biological systems. Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis, 2006, 12 (5), pp.379-393. ⟨10.1080/13873950600723277⟩. ⟨hal-01001125⟩



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