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

Författare och institution:
Torbjörn Lundh (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU); Philip Gerlee (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU & Sahlgrenska Cancer Center)
Publicerad i:
Bulletin of Mathematical Biology, 75 ( 5 ) s. 709-724
ISSN:
0092-8240
E-ISSN:
1522-9602
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2013
Språk:
engelska
Fulltextlänk:
Fulltextlänk (lokalt arkiv):
Sammanfattning (abstract):
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.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
MEDICIN OCH HÄLSOVETENSKAP ->
Annan medicin och hälsovetenskap
Nyckelord:
Syntrophy, Cross-feeding, Population dynamics, escherichia-coli, evolution, population, diversity, bacteria
Postens nummer:
178032
Posten skapad:
2013-06-07 11:53
Posten ändrad:
2016-06-30 08:58

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