Viral dynamics is a field of applied mathematics concerned with describing the progression of viral infections within a host organism.[1] It employs a family of mathematical models that describe changes over time in the populations of cells targeted by the virus and the viral load. These equations may also track competition between different viral strains and the influence of immune responses. The original viral dynamics models were inspired by compartmental epidemic models (e.g. the SI model), with which they continue to share many common mathematical features, such as the concept of the basic reproductive ratio (R0). The major distinction between these fields is in the scale at which the models operate: while epidemiological models track the spread of infection between individuals within a population (i.e. "between host"), viral dynamics models track the spread of infection between cells within an individual (i.e. "within host"). Analyses employing viral dynamic models have been used extensively to study HIV,[1][2] hepatitis B virus,[3][4] and hepatitis C virus,[5][6] among other infections
References
edit- ^ a b Nowak, Martin; May, Robert (2001). Virus Dynamics: mathematical principles of immunology and virology. Oxford University Press. ISBN 9780198504177. Archived from the original on 13 February 2015. Retrieved 13 February 2015.
- ^ Perelson, Alan S; Ribeiro, Ruy M (2013). "Modeling the within-host dynamics of HIV infection". BMC Biology. 11 (1): 96. doi:10.1186/1741-7007-11-96. PMC 3765939. PMID 24020860.
- ^ Nowak, MA; Bonhoeffer, S; Hill, AM; Boehme, R; Thomas, HC; McDade, H (1996). "Viral dynamics in hepatitis B virus infection". Proceedings of the National Academy of Sciences. 93 (9): 4398–4402. Bibcode:1996PNAS...93.4398N. doi:10.1073/pnas.93.9.4398. PMC 39549. PMID 8633078.
- ^ Ciupe, SM; Ribeiro, RM; Nelson, PW; Perelson, AS (2007). "Modeling the mechanisms of acute hepatitis B virus infection". Journal of Theoretical Biology. 247 (1): 23–35. Bibcode:2007JThBi.247...23C. doi:10.1016/j.jtbi.2007.02.017. PMC 1994818. PMID 17428501.
- ^ Neumann, A; Lam, NP; Dahari, H; Gretch, DR; Wiley, TE; Layden, TJ; Perelson, AS (1998). "Hepatitis C Viral Dynamics in Vivo and the Antiviral Efficacy of Interferon-α Therapy". Science. 282 (5386): 103–107. Bibcode:1998Sci...282..103N. doi:10.1126/science.282.5386.103. PMID 9756471.
- ^ Chatterjee, A; Smith, PF; Perelson, AS (2013). "Hepatitis C Viral Kinetics: The Past, Present, and Future". Clinics in Liver Disease. 17 (1): 13–26. doi:10.1016/j.cld.2012.09.003. PMC 3584572. PMID 23177280.
External links
edit- Viral Dynamics Mathematical Modeling Training, Center for AIDS Research, University of Washington