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Cross-Feeding Dynamics Described by a Series Expansion of the Replicator Equation

Torbjörn Lundh (Institutionen för matematiska vetenskaper, matematik) ; Philip Gerlee (Institutionen för matematiska vetenskaper, matematik ; Sahlgrenska Cancer Center)
Bulletin of Mathematical Biology (0092-8240). Vol. 75 (2013), 5, p. 709-724.
[Artikel, refereegranskad vetenskaplig]

Understanding how ecosystems evolve and how they respond to external perturbations is critical if we are to predict the effects of human intervention. A particular class of ecosystems whose dynamics are poorly understood are those in which the species are related via cross-feeding. In these ecosystems the metabolic output of one species is being used as a nutrient or energy source by another species. In this paper we derive a mathematical description of cross-feeding dynamics based on the replicator equation. We show that under certain assumptions about the system (e.g., high flow of nutrients and time scale separation), the governing equations reduce to a second-order series expansion of the replicator equation. By analysing the case of two and three species we derive conditions for co-existence and show under which parameter conditions one can expect an increase in mean fitness. Finally, we discuss how the model can be parameterised from experimental data.

Nyckelord: Syntrophy, Cross-feeding, Population dynamics, escherichia-coli, evolution, population, diversity, bacteria

Denna post skapades 2013-06-07. Senast ändrad 2016-06-30.
CPL Pubid: 178032


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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)
Sahlgrenska Cancer Center (GU)


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