Multiple steady state profiles in interconnected biological systems

A. K. Dramé, J. Harmand, A. Rapaport and C. Lobry

Mathematical and Computer Modelling of Dynamical Systems, 2006, vol. 12, issue 5, 379-393

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).

Date: 2006
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DOI: 10.1080/13873950600723277

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