Approximate solution to the speed of spreading viruses
- PMID: 15089324
- DOI: 10.1103/PhysRevE.69.031909
Approximate solution to the speed of spreading viruses
Abstract
Recently, it has been shown that the speed of virus infections can be explained by time-delayed reaction-diffusion [J. Fort and V. Méndez, Phys. Rev. Lett. 89, 178101 (2002)], but no analytical solutions were found. Here we derive formulas for the front speed, valid in appropriate limits. We also integrate numerically the evolution equations of the system. There is good agreement with both numerical and experimental speeds.
Similar articles
-
Fronts with continuous waiting-time distributions: theory and application to virus infections.Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Feb;73(2 Pt 1):021907. doi: 10.1103/PhysRevE.73.021907. Epub 2006 Feb 16. Phys Rev E Stat Nonlin Soft Matter Phys. 2006. PMID: 16605362
-
Surfactant solutions and porous substrates: spreading and imbibition.Adv Colloid Interface Sci. 2004 Nov 29;111(1-2):3-27. doi: 10.1016/j.cis.2004.07.007. Adv Colloid Interface Sci. 2004. PMID: 15571660
-
Time-delayed reaction-diffusion fronts.Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Nov;80(5 Pt 2):057103. doi: 10.1103/PhysRevE.80.057103. Epub 2009 Nov 20. Phys Rev E Stat Nonlin Soft Matter Phys. 2009. PMID: 20365098
-
Ecology and evolution in microbial systems: the generation and maintenance of diversity in phage-host interactions.Res Microbiol. 2008 Jun;159(5):382-9. doi: 10.1016/j.resmic.2008.05.006. Epub 2008 Jun 6. Res Microbiol. 2008. PMID: 18582563 Review.
-
Bacteria-phage interactions in natural environments.Adv Appl Microbiol. 2014;89:135-83. doi: 10.1016/B978-0-12-800259-9.00004-4. Adv Appl Microbiol. 2014. PMID: 25131402 Review.
Cited by
-
Phage susceptibility testing and infectious titer determination through wide-field lensless monitoring of phage plaque growth.PLoS One. 2021 Mar 23;16(3):e0248917. doi: 10.1371/journal.pone.0248917. eCollection 2021. PLoS One. 2021. PMID: 33755710 Free PMC article.
-
How Obstacles Perturb Population Fronts and Alter Their Genetic Structure.PLoS Comput Biol. 2015 Dec 22;11(12):e1004615. doi: 10.1371/journal.pcbi.1004615. eCollection 2015 Dec. PLoS Comput Biol. 2015. PMID: 26696601 Free PMC article.
-
Image-guided modeling of virus growth and spread.Bull Math Biol. 2008 Aug;70(6):1730-48. doi: 10.1007/s11538-008-9316-3. Epub 2008 Apr 25. Bull Math Biol. 2008. PMID: 18437499 Free PMC article.
-
Mathematical Model of SARS-Cov-2 Propagation Versus ACE2 Fits COVID-19 Lethality Across Age and Sex and Predicts That of SARS.Front Mol Biosci. 2021 Jul 12;8:706122. doi: 10.3389/fmolb.2021.706122. eCollection 2021. Front Mol Biosci. 2021. PMID: 34322518 Free PMC article.
-
Sustainability of virulence in a phage-bacterial ecosystem.J Virol. 2010 Mar;84(6):3016-22. doi: 10.1128/JVI.02326-09. Epub 2010 Jan 13. J Virol. 2010. PMID: 20071588 Free PMC article.
Publication types
MeSH terms
LinkOut - more resources
Full Text Sources
