A linear algebra model for quasispecies
Ricardo Garcı́a-Pelayo
Physica A: Statistical Mechanics and its Applications, 2002, vol. 309, issue 1, 131-156
Abstract:
In the present work we present a simple model of the population genetics of quasispecies. We show that the error catastrophe arises because in Biology the mutation rates are almost zero and the mutations themselves are almost neutral. We obtain and discuss previously known results from the point of view of this model. New results are: the fitness of a sequence in terms of its abundance in the quasispecies, a formula for the stable distribution of a quasispecies in which the fitness depends only on the Hamming distance to the master sequence, the time it takes the master sequence to generate a stable quasispecies (such as in the infection by a virus) and the fitness of quasispecies.
Keywords: Quasispecies; Error catastrophe; Multiplicative fitness; Mutation matrices (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:309:y:2002:i:1:p:131-156
DOI: 10.1016/S0378-4371(02)00629-5
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