Phase Diagrams of Quasispecies Theory with Recombination and Horizontal Gene Transfer

Abstract

We consider how transfer of genetic information between individuals influences the phase diagram and mean fitness of both the Eigen and the parallel, or Crow-Kimura, models of evolution. In the absence of genetic transfer, these physical models of evolution consider the replication and point mutation of the genomes of independent individuals in a large population. A phase transition occurs, such that below a critical mutation rate an identifiable quasispecies forms. We generalize these models of quasispecies evolution to include horizontal gene transfer. We show how transfer of genetic information changes the phase diagram and mean fitness and introduces metastability in quasispecies theory, via an analytic field theoretic mapping.

5 pages, 1 figure, to appear in Physics Review Letters

References in corpus (2)

• Quasispecies Theory for Multiple-Peak Fitness Landscapes
• Schwinger Boson Formulation and Solution of the Crow-Kimura and Eigen Models of Quasispecies Theory

Cited by in corpus (5)

• Spontaneous Emergence of Modularity in a Model of Evolving Individuals and in Real Networks
• Quasispecies Theory for Horizontal Gene Transfer and Recombination
• Evolutionary dynamics of the most populated genotype on rugged fitness landscapes
• Does Sex Induce a Phase Transition?
• The influence of horizontal gene transfer on the mean fitness of unicellular populations in static environments