Microbial metabolism and growth under conditions of starvation modelled as the sliding mode of a differential inclusion
van den Berg, HA
Taylor & Francis
© 2017 Informa UK Limited, trading as Taylor & Francis Group
Reason for embargo
Under embargo until 21/03/2018 in compliance with publisher policy.
We consider a model of bacterial growth with variable internal stores, extended with adaptive resource allocation and investigate the behaviour of this model under conditions of starvation, i.e. severe nutrient shortage, treating the behaviour under the starvation regime in terms of a differential inclusion, and derive Filippov solutions. This Filippov sliding mode representation appears to be simple but sound qualitative description of metabolic ‘shut down’ in response to starvation. We discuss a natural connection between biologically motivated modelling approaches to metabolic ‘shut down’ and numerical regularisation techniques to approximate Filippov solutions.
O. A. Nev was supported by EU Research Framework programme 7 Marie Curie Actions, grant 316630, Centre for Analytical Science Innovative Doctoral Programme (CAS-IDP).
This is the author accepted manuscript. The final version is available from Taylor & Francis via the DOI in this record.
Vol.33 (1), pp. 93-112