2024-03-19T06:41:11Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/488252021-12-28T16:51:00Zcom_10261_103com_10261_1col_10261_356
2012-04-24T10:47:10Z
urn:hdl:10261/48825
Dynamics of alternative modes of RNA replication for positive-sense RNA viruses
Sardanyés, Josep
Martínez, Fernando
Daròs Arnau, José Antonio
Elena, Santiago F.
Complex systems
Intracellular viral dynamics
Nonlinear dynamics
Replication mode
We propose and study nonlinear mathematical models describing the intracellular time dynamics
of viral RNA accumulation for positive sense single-stranded RNA viruses. Our models consider
different replication modes ranging between two extremes represented by the geometric replication
(GR) and the linear stamping machine replication (SMR). We first analyze a model that quantitatively
reproduced experimental data for the accumulation dynamics of both polarities of Turnip
mosaic potyvirus RNAs. We identify a non-degenerate transcritical bifurcation governing the extinction
of both strands depending on three key parameters: the mode of replication (®), the replication
rate (r) and the degradation rate (±) of viral strands. Our results indicate that the bifurcation associated
with ® generically takes place when the replication mode is closer to the SMR, thus suggesting
that GR may provide viral strands with an increased robustness against degradation. This transcritical
bifurcation, which is responsible for the switching from an active to an absorbing regime,
suggests a smooth (i.e., second-order), absorbing-state phase transition. Finally, we also analyze
a simplified model that only incorporates asymmetry in replication tied to differential replication
modes.
2012-04-24T10:47:10Z
2012-04-24T10:47:10Z
2012-04-07
artículo
Journal of the Royal Society Interface 9/69:768-776 (2012)
http://hdl.handle.net/10261/48825
10.1098/rsif.2011.0471
1742-5689
21900320
eng
openAccess
Royal Society (Great Britain)