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  Coexistence in the Chemostat as a result of metabolic by-products

Heßeler, J., Schmidt, J. K., Reichl, U., & Flockerzi, D. (2006). Coexistence in the Chemostat as a result of metabolic by-products. Journal of mathematical biology, 53(4), 556-584. doi:10.1007/s00285-006-0012-3.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-9AF7-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0014-A148-0
Genre: Journal Article

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 Creators:
Heßeler, J.1, Author              
Schmidt, J. K.1, Author              
Reichl, U.1, 2, Author              
Flockerzi, D.3, Author              
Affiliations:
1Bioprocess Engineering, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738140              
2Otto-von-Guericke-Universität Magdeburg, ou_1738156              
3Systems and Control Theory, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738154              

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 Abstract: Classical chemostat models assume that competition is purely exploitative and mediated via a common, limiting and single resource. However, in laboratory experiments with pathogens related to the genetic disease Cystic Fibrosis, species specific properties of production, inhibition and consumption of a metabolic by-product, acetate, were found. These assumptions were implemented into a mathematical chemostat model which consists of four nonlinear ordinary differential equations describing two species competing for one limiting nutrient in an open system. We derive classical chemostat results and find that our basic model supports the competitive exclusion principle, the bistability of the system as well as stable coexistence. The analytical results are illustrated by numerical simulations performed with experimentally measured parameter values. As a variant of our basic model, mimicking testing of antibiotics for therapeutic treatments in mixed cultures instead of pure ones, we consider the introduction of a lethal inhibitor, which cannot be eliminated by one of the species and is selective for the stronger competitor. We discuss our theoretical results in relation to our experimental model system and find that simulations coincide with the qualitative behavior of the experimental result in the case where the metabolic by-product serves as a second carbon source for one of the species, but not the producer. © Springer, Part of Springer Science+Business Media [accessed 2013 August 16th]

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Language(s): eng - English
 Dates: 2006
 Publication Status: Published in print
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 Table of Contents: -
 Rev. Method: -
 Identifiers: eDoc: 286482
Other: 51/06
DOI: 10.1007/s00285-006-0012-3
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Title: Journal of mathematical biology
Source Genre: Journal
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Publ. Info: Heidelberg : Springer
Pages: - Volume / Issue: 53 (4) Sequence Number: - Start / End Page: 556 - 584 Identifier: ISSN: 0303-6812
CoNE: /journals/resource/954925511424