2024-03-19T12:40:00Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/488252021-12-28T16:51:00Zcom_10261_103com_10261_1col_10261_356
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.
This work has been funded by the Human Frontier Science
Program Organization grant RGP12/2008, by the Spanish
Ministerio de Ciencia e Innovaci´on grants BIO2008-01986
(JAD) and BFU2009-06993 (SFE), and by the Santa Fe
Institute. FM is the recipient of a predoctoral fellowship
from Universitat Polit`ecnica de Val`encia. We also want to
thank the hospitality and support of the Kavli Institute
for Theoretical Physics (University of California at Santa
Barbara), where part of this work was developed (grant NSF
PHY05-51164).
Peer reviewed
2012-04-24T10:47:10Z
2012-04-24T10:47:10Z
2012-04-07
artículo
http://purl.org/coar/resource_type/c_6501
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
en
open
Royal Society (Great Britain)