Universität zu Köln

Otwinowski, Jakub ORCID: 0000-0002-0341-8790 and Krug, Joachim ORCID: 0000-0002-2143-6490 (2014). Clonal interference and Muller's ratchet in spatial habitats. Phys. Biol., 11 (5). BRISTOL: IOP PUBLISHING LTD. ISSN 1478-3975

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Abstract

Competition between independently arising beneficial mutations is enhanced in spatial populations due to the linear rather than exponential growth of clones. Recent theoretical studies have pointed out that the resulting fitness dynamics is analogous to a surface growth process, where new layers nucleate and spread stochastically, leading to the build up of scale-invariant roughness. This scenario differs qualitatively from the standard view of adaptation in that the speed of adaptation becomes independent of population size while the fitness variance does not. Here we exploit recent progress in the understanding of surface growth processes to obtain precise predictions for the universal, non-Gaussian shape of the fitness distribution for one-dimensional habitats, which are verified by simulations. When the mutations are deleterious rather than beneficial the problem becomes a spatial version of Muller's ratchet. In contrast to the case of well-mixed populations, the rate of fitness decline remains finite even in the limit of an infinite habitat, provided the ratio U-d/s(2) between the deleterious mutation rate and the square of the (negative) selection coefficient is sufficiently large. Using, again, an analogy to surface growth models we show that the transition between the stationary and the moving state of the ratchet is governed by directed percolation.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Otwinowski, Jakub UNSPECIFIED orcid.org/0000-0002-0341-8790 UNSPECIFIED Krug, Joachim UNSPECIFIED orcid.org/0000-0002-2143-6490 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-428246
DOI:	10.1088/1478-3975/11/5/056003
Journal or Publication Title:	Phys. Biol.
Volume:	11
Number:	5
Date:	2014
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1478-3975
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institut für Biologische Physik
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Biochemistry & Molecular Biology; Biophysics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/42824