Multiple steady state profiles in interconnected biological systems

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 Contin...

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Bibliographic Details
Published inMathematical and computer modelling of dynamical systems Vol. 12; no. 5; pp. 379 - 393
Main Authors Dramé, A. K., Harmand, J., Rapaport, A., Lobry, C.
Format Journal Article
LanguageEnglish
Published Taylor & Francis 01.10.2006
Subjects
Biological systems
Biotechnology
Convergence
Dynamical Systems
Interconnected systems
Life Sciences
Mathematics
Multiple steady states
Substrate inhibited kinetics
CONVERGENCE
INTERCONNECTED SYSTEMS
SUBSTRATE INHIBITED KINETICS
BIOLOGICAL SYSTEMS
MULTIPLE STEADY STATES
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Summary: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).
ISSN:1387-3954
1744-5051
DOI:10.1080/13873950600723277