The effect of spatial randomness on the average fixation time of mutants

@article{FarhangSardroodi2017TheEO,
  title={The effect of spatial randomness on the average fixation time of mutants},
  author={S. Farhang-Sardroodi and A. Darooneh and M. Nikbakht and N. Komarova and M. Kohandel},
  journal={PLoS Computational Biology},
  year={2017},
  volume={13}
}
The mean conditional fixation time of a mutant is an important measure of stochastic population dynamics, widely studied in ecology and evolution. Here, we investigate the effect of spatial randomness on the mean conditional fixation time of mutants in a constant population of cells, N. Specifically, we assume that fitness values of wild type cells and mutants at different locations come from given probability distributions and do not change in time. We study spatial arrangements of cells on… Expand
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References

SHOWING 1-10 OF 54 REFERENCES
Counterintuitive properties of the fixation time in network-structured populations
TLDR
The Moran process is studied, a discrete time birth–death process that describes the invasion of a mutant type into a population of wild-type individuals, and analytically it is shown that the time to fixation can decrease when links are removed from the network and the node providing the best starting conditions in terms of the shortest fixation time depends on the fitness of the mutant. Expand
Genotype by random environmental interactions gives an advantage to non-favored minor alleles
TLDR
Under this model spatial heterogeneity redefines the notion of neutrality for a newly arising mutation, as such mutations fix at a higher rate than that predicted under neutrality, despite neither allele being favored on average. Expand
The fixation probability of a beneficial mutation in a geographically structured population.
One of the most fundamental concepts of evolutionary dynamics is the 'fixation' probability, i.e. the probability that a gene spreads through the whole population. Most natural communities areExpand
The effect of population structure on the rate of evolution
TLDR
It is shown that the effects of population structure on the rate of evolution are more complex and subtle than previously recognized and the importance of fixation time is drawn attention. Expand
Modeling Invasion Dynamics with Spatial Random-Fitness Due to Micro-Environment
TLDR
The computational framework captures the harsh microenvironmental conditions through quenched random fitness distributions and migration of cells, and the analysis shows that they play an important role in the invasion dynamics of several biological systems such as bacterial micro-habitats, epithelial dysplasia, and metastasis. Expand
Analytical calculation of average fixation time in evolutionary graphs.
TLDR
An analytical approach is introduced for exact calculation of Average Fixation Time (AFT) for two types of evolutionary graphs: cycle graph, as a highly homogeneous graph and star graph,As a highly heterogeneous graph, which uses symmetries of these graphs to calculate AFT. Expand
Evolutionary dynamics on graphs
TLDR
This work determines the fixation probability of mutants, and characterize those graphs for which fixation behaviour is identical to that of a homogeneous population, and shows that the outcome of evolutionary games can depend entirely on the structure of the underlying graph. Expand
An analysis of the fixation probability of a mutant on special classes of non-directed graphs
  • M. Broom, J. Rychtář
  • Mathematics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2008
There is a growing interest in the study of evolutionary dynamics on populations with some non-homogeneous structure. In this paper we follow the model of Lieberman et al. (Lieberman et al. 2005Expand
Evolutionary games on graphs and the speed of the evolutionary process
TLDR
This paper investigates evolutionary games with the invasion process updating rules on three simple non-directed graphs: the star, the circle and the complete graph and derives the exact solutions of the stochastic evolutionary game dynamics. Expand
Spatial interactions and cooperation can change the speed of evolution of complex phenotypes
  • N. Komarova
  • Biology, Medicine
  • Proceedings of the National Academy of Sciences
  • 2014
TLDR
The role of spatial constraints is quite complex: there are realistic cases where spatial constrains can accelerate or delay evolution, or even influence it in a nonmonotonic fashion, where evolution works fastest for intermediate-range constraints. Expand
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2
3
4
5
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