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Multiple steady state profiles in interconnected biological systems

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  • A. K. Dramé
  • J. Harmand
  • A. Rapaport
  • C. Lobry

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).

Suggested Citation

  • A. K. Dramé & J. Harmand & A. Rapaport & C. Lobry, 2006. "Multiple steady state profiles in interconnected biological systems," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 12(5), pages 379-393, October.
    • Handle: RePEc:taf:nmcmxx:v:12:y:2006:i:5:p:379-393
    DOI: 10.1080/13873950600723277
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