ABSTRACT
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.
MCS/CCS/AMS Classification/CR Category numbers:
Disclosure statement
No potential conflict of interest was reported by the authors.