Statistical properties and error threshold of quasispecies on single-peak Gaussian-distributed fitness landscapes

JOURNAL OF THEORETICAL BIOLOGY

卷:380

Article

Li, Duo-Fang¹  Cao, Tian-Guang¹  Geng, Jin-Peng¹  Gu, Jian-Zhong²  An, Hai-Long¹  Zhan, Yong¹ 

[1] Hebei Univ Technol, Sch Sci, Inst Biophys, Tianjin 300401, Peoples R China

[2] China Inst Atom Energy, Beijing 102413, Peoples R China

关键词: Quasispecies;    Error threshold;    Single peak fitness;    Gaussian distribution;    Randomization;   

DOI  :  10.1016/j.jtbi.2015.05.014

来源: Elsevier

【 摘 要 】

The stochastic Eigen model proposed by Feng et al. (2007) (Journal of Theoretical Biology, 246, 28) showed that error threshold is no longer a phase transition point but a crossover region whose width depends on the strength of the random fluctuation in an environment. The underlying cause of this phenomenon has not yet been well examined. In this article, we adopt a single peak Gaussian distributed fitness landscape instead of a constant one to investigate and analyze the change of the error threshold and the statistical property of tile quasi-species population. We find a roughly linear relation between the width of the error threshold and the fitness fluctuation strength. For a given quasi-species, the fluctuation of the relative concentration has a minimum with a normal distribution of the relative concentration at the maximum of the averaged relative concentration, it has however a largest value with a bimodal distribution of the relative concentration near the error threshold. The above results deepen our understanding of the quasispecies and error threshold and are heuristic for exploring practicable antiviral strategies. (C) 2015 Elsevier Ltd. All rights reserved.

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