ArticleJournal of the Royal Society, Interface2012
Dynamics of alternative modes of RNA replication for positive-sense RNA viruses.
Article in Journal of the Royal Society, Interface, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed, 25 citations in OpenAlex.
- Stochastic intracellular replication dynamics shape population-level evolution in Influenza A Virus.Virus evolution · 2026Article
- Decay of HCoV-OC43 infectivity is lower in cell debris-containing media than in fresh culture media.microPublication biology · 2024Article
- Interplay of Cellular mRNA, miRNA and Viral miRNA during Infection of a Cell.International journal of molecular sciences · 2022Article
- The evolutionary dynamics of viruses: virion release strategies, time delays and fitness minima.Virus evolution · 2021Article
- Mutation-rate plasticity and the germline of unicellular organisms.Proceedings. Biological sciences · 2019Article
- Interferon at the cellular, individual, and population level in hepatitis C virus infection: Its role in the interferon-free treatment era.Immunological reviews · 2018Review
- Noise-induced bistability in the quasi-neutral coexistence of viral RNAs under different replication modes.Journal of the Royal Society, Interface · 2018Article
- Molecular signaling network motifs provide a mechanistic basis for cellular threshold responses.Environmental health perspectives · 2014Review
- Genomic mutation rates that neutralize adaptive evolution and natural selection.Journal of the Royal Society, Interface · 2013Article
Corrections and comments
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Authors and funding
4 authors at 2 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
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 analyse 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 (α), the replication rate (r) and the degradation rate (δ) of viral strands. Our results indicate that the bifurcation associated with α 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 analyse a simplified model that only incorporates asymmetry in replication tied to differential replication modes.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.