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An approximate solution of the interferon-dependent viral kinetics model of influenza
Harald Schmid1, Hana M Dobrovolny1
1Department of Physics & Astronomy, Texas Christian University, Fort Worth, TX, USA.
Abstract:
The analysis of viral kinetics models is mostly achieved by numerical methods. We present an approach via a Magnus expansion that allows us to give an approximate solution to the interferon-dependent viral infection model of influenza which is compared with numerical results. The time of peak viral load is calculated from the approximation and stays within 10% in the studied range of interferon (IFN) efficacy ϵ ∈ [0, 1000]. We utilize our solution to interpret the effect of varying IFN efficacy, suggesting a competition between virions and interferon that can cause an additional peak in the usually exponential increase in the viral load.
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