A method for the reconstruction of unkwnown non-monotonic growth functions in the chemostat

Jan Sieber 1 Alain Rapaport 2, 3 Serafim Rodrigues 4 Mathieu Desroches 5
1 EMPS - College of Engineering, Mathematics and Physical Sciences [Exeter]
2 MODEMIC - Modelling and Optimisation of the Dynamics of Ecosystems with MICro-organisme
CRISAM - Inria Sophia Antipolis - Méditerranée , MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie
3 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie
4 CRNS - Centre for Robotics and Neural Systems
5 SISYPHE - SIgnals and SYstems in PHysiology & Engineering
Inria Paris-Rocquencourt
Abstract : We propose an adaptive control law that allows one to identify unstable steady states of the open-loop system in the single-species chemostat model without the knowledge of the growth function. We then show how one can use this control law to trace out (reconstruct) the whole graph of the growth function. The process of tracing out the graph can be performed either continuously or step-wise. We present and compare both approaches. Even in the case of two species in competition, which is not directly accessible with our approach due to lack of controllability, feedback control improves identifiability of the non-dominant growth rate.
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Journal articles
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https://hal.inria.fr/hal-00860573
Contributor : Alain Rapaport <>
Submitted on : Tuesday, September 10, 2013 - 5:15:35 PM
Last modification on : Saturday, June 8, 2019 - 2:22:03 PM

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Jan Sieber, Alain Rapaport, Serafim Rodrigues, Mathieu Desroches. A method for the reconstruction of unkwnown non-monotonic growth functions in the chemostat. Bioprocess and Biosystems Engineering, Springer Verlag, 2013, 36 (10), pp.1496-1507. ⟨10.1007/s00449-013-0912-8⟩. ⟨hal-00860573⟩

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