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Microbial metabolism and growth under conditions of starvation modeled as the sliding mode of a differential inclusion

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Nev, Olga and Berg, Hugo van den (2018) Microbial metabolism and growth under conditions of starvation modeled as the sliding mode of a differential inclusion. Dynamical Systems, 33 (1). pp. 93-112. doi:10.1080/14689367.2017.1298726 ISSN 1468-9367.

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Official URL: http://dx.doi.org/10.1080/14689367.2017.1298726

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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 a 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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QR Microbiology
Divisions: Faculty of Science, Engineering and Medicine > Science > Chemistry
Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Bacterial growth -- Mathematical models, Microbial metabolism, Differential equations
Journal or Publication Title: Dynamical Systems
Publisher: Taylor & Francis Ltd.
ISSN: 1468-9367
Official Date: 2018
Dates:
DateEvent
2018Published
21 March 2017Available
UNSPECIFIEDAvailable
13 February 2017Accepted
Volume: 33
Number: 1
Page Range: pp. 93-112
DOI: 10.1080/14689367.2017.1298726
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 14 February 2017
Date of first compliant Open Access: 26 February 2018
Funder: Seventh Framework Programme (European Commission) (FP7), Marie Skłodowska-Curie Actions
Grant number: Grant 316630 (FP7)

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