Viral RNA Replication Modes: Evolutionary and Dynamical Implications

  • Josep Sardanyés
Conference paper
Part of the Trends in Mathematics book series (TM, volume 2)


Viruses can amplify their genomes following different replication modes (RMs) ranging from the stamping machine replication (SMR) model to the geometric replication (GR) model. Different RMs are expected to produce different evolutionary and dynamical outcomes in viral quasi-species due to differences in the mutations accumulation rate. Theoretical and computational models revealed that while SMR may provide RNA viruses with mutational robustness, GR may confer a dynamical advantage against genomes degradation. Here, recent advances in the investigation of the RM in positive-sense single-stranded RNA viruses are reviewed. Dynamical experimental quantification of Turnip mosaic virus RNA strands, together with a nonlinear mathematical model, indicated the SMR model for this pathogen. The same mathematical model for natural infections is here further analyzed, and we prove that the interior equilibrium involving coexistence of both positive and negative viral strands is globally asymptotically stable.



I especially thank Ernest Fontich for useful suggestions and Silvia Rubio for English corrections. I also thank Santiago F. Elena, Fernando Martínez and Jose Antonio Daròs for sharing this research subject. This work was funded by the Botín Foundation and by grant NSF PHY05-51164.


  1. 1.
    L. Chao, C.U. Rang, L.E. Wong, Distribution of spontaneous mutants and inferences about the replication mode of the RNA bacteriophage \(\varphi 6\). J. Virol. 76, 3276–3281 (2002)CrossRefGoogle Scholar
  2. 2.
    D. Denhardt, R.B. Silver, An analysis of the clone size distribution of 1X174 mutants and recombinants. Virology 30, 10–19 (1966)CrossRefGoogle Scholar
  3. 3.
    A. Dewanji, E.G. Luebeck, S.H. Moolgavkar, A generalized Luria–Delbrück model. Math. Biosci. 197, 140–152 (2005)MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    E. Domingo, C. Biebricher, M. Eigen, J.J. Holland, Quasispecies and RNA Virus Evolution: Principles and Consequences (Landes Bioscience, Austin) (2001)Google Scholar
  5. 5.
    S.E. Luria, The frequency distribution of spontaneous bacteriophage mutants as evidence for the exponential rate of phage production. Cold Spring Harbor Symp. Quant. Biol. 16, 463–470 (1951)CrossRefGoogle Scholar
  6. 6.
    F. Martínez, J. Sardanyés, J.A. Daròs, S.F. Elena, Dynamics of a plant RNA virus intracellular accumulation: stamping machine versus geometric replication. Genetics 188, 637–646 (2011)CrossRefGoogle Scholar
  7. 7.
    J. Sardanyés, S.F. Elena, Quasispecies spatial models for RNA viruses with different replication modes and infection strategies. PLoS ONE 6(9), e24884 (2011)Google Scholar
  8. 8.
    J. Sardanyés, F. Martínez, J.A. Daròs, S.F. Elena, Dynamics of alternative modes of RNA replication for positive-sense RNA viruses. J. R. Soc. Interface 9, 768–776 (2012)CrossRefGoogle Scholar
  9. 9.
    J. Sardanyés, R.V. Solé, S.F. Elena, Replication mode and landscape topology differentially affect RNA virus mutational load and robustness. J. Virol. 83, 12579–12589 (2009)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.ICREA-Complex Systems LabUniversitat Pompeu FabraBarcelona, CataloniaSpain
  2. 2.Institut de Biologia Evolutiva CSICBarcelona, CataloniaSpain

Personalised recommendations