A continuous phenotype space model of rna virus evolution within a host

Andrei Korobeinikov, Conor Dempsey

    Research output: Contribution to journalArticleResearchpeer-review

    15 Citations (Scopus)

    Abstract

    Due to their very high replication and mutation rates, RNA viruses can serve as an excellent testing model for verifying hypothesis and addressing questions in evolutionary biology. In this paper, we suggest a simple deterministic mathematical model of the within-host viral dynamics, where a possibility for random mutations incorporates. This model assumes a continuous distribution of viral strains in a one-dimensional phenotype space where random mutations are modelled by Brownian motion (that is, by diffusion). Numerical simulations show that random mutations combined with competition for a resource result in evolution towards higher Darwinian fitness: a stable pulse traveling wave of evolution, moving towards higher levels of fitness, is formed in the phenotype space. The advantage of this model, compared with the previously constructed models, is that this model is mechanistic and is based on commonly accepted model of virus dynamics within a host, and thus it allows an incorporation of features of the real-life host-virus system such as immune response, antiviral therapy, etc.
    Original languageEnglish
    Pages (from-to)919-927
    JournalMathematical Biosciences and Engineering
    Volume11
    Issue number4
    DOIs
    Publication statusPublished - 1 Jan 2014

    Keywords

    • Evolution
    • HIV
    • Mathematical modelling
    • Random mutation
    • Traveling wave

    Fingerprint Dive into the research topics of 'A continuous phenotype space model of rna virus evolution within a host'. Together they form a unique fingerprint.

    Cite this