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Transcient behavior of biological loop models with application to the droop model

Abstract : In this paper we study the transient behavior of a class of non-linear differential systems verifying sign conditions, through the succession of extrema of the state variables. This analysis does not depend, for the main part, on the analytical formulation of the model. The possible scenarii of sequences for the extrema are represented on a graph, and can be compared with the experimental data to validate the model. An application to the Droop model illustrates this method ; we obtain as a result the global stability of the equilibrium and the possible successions of the extrema for this class of models.
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https://hal.inria.fr/inria-00074549
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 3:44:25 PM
Last modification on : Tuesday, November 24, 2020 - 6:34:02 PM
Long-term archiving on: : Tuesday, April 12, 2011 - 5:27:43 PM

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  • HAL Id : inria-00074549, version 1

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Olivier Bernard, Jean-Luc Gouzé. Transcient behavior of biological loop models with application to the droop model. [Research Report] RR-2123, INRIA. 1993. ⟨inria-00074549⟩

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