Mathematical Modelling of HIV Within-Host Evolution

Anna Maria Riera-Escandell, Andrei Korobeinikov

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    1 Citation (Scopus)


    © 2019, Springer Nature Switzerland AG. The majority of hypotheses suggested to explain the human immunodeficiency virus (HIV) progression explains the particularities of the disease by a very high mutability and evolvability of the virus. For HIV, several mechanisms of mutation are possible, and it is reasonable to assume that a mechanistic mathematical model of HIV evolution reflect these mechanisms. In this contribution, we formulate three different mathematical models of within-host HIV evolution that corresponds to three different virus mutation mechanisms. Simulations demonstrate that, for realistic rates of evolution, either of the three models leads to a very similar (and for some models to identical) outcome and, hence, only one of the mechanisms (presumably, the simplest one) can be used in simulations.
    Original languageEnglish
    Title of host publicationTrends in Mathematics
    Number of pages7
    ISBN (Electronic)2297-024X
    Publication statusPublished - 1 Jan 2019


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