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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Published in | Mathematical and computer modelling of dynamical systems Vol. 12; no. 5; pp. 379 - 393 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Taylor & Francis
01.10.2006
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Subjects | |
Online Access | Get full text |
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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). |
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ISSN: | 1387-3954 1744-5051 |
DOI: | 10.1080/13873950600723277 |