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

作者：Sieber Jan; Rapaport Alain^*; Rodrigues Serafim; Desroches Mathieu

来源：Bioprocess and Biosystems Engineering, 2013, 36(10): 1497-1507.

DOI：10.1007/s00449-013-0912-8

• Chemostat
• Growth
• Identification
• Competition
• Slow-fast systems
• Numerical continuation

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.

• 出版日期2013-10
• 单位INRIA