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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
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 | ||||||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QR Microbiology |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Chemistry Faculty of Science, Engineering and Medicine > Science > Mathematics |
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| 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: |
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| 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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