The Library
Microbial metabolism and growth under conditions of starvation modeled as the sliding mode of a differential inclusion
Tools
Tools
Tools
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
|
PDF
WRAP-microbial-metabolism-growth-starvation-Nev-2017.pdf - Accepted Version - Requires a PDF viewer. Download (766Kb) | Preview |
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 | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QR Microbiology |
||||||||||
| Divisions: | Faculty of Science > Chemistry Faculty of 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: |
|
||||||||||
| Date of first compliant deposit: | 14 February 2017 | ||||||||||
| 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 | ||||||||||
| Funder: | Seventh Framework Programme (European Commission) (FP7), Marie Skłodowska-Curie Actions | ||||||||||
| Grant number: | Grant 316630 (FP7) |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
