The effects of distributed life cycles on the dynamics of viral infections

JOURNAL OF THEORETICAL BIOLOGY

卷:254

Article

Campos, Daniel¹  Mendez, Vicenc²  Fedotov, Sergei¹ 

[1] Univ Manchester, Sch Math, Dept Appl Math, Manchester M60 1QD, Lancs, England

[2] Univ Autonoma Barcelona, Dept Fis, Grp Fis Estad, E-08193 Barcelona, Spain

关键词: virus dynamics;    cellular life cycle;    lytic cycle;    basic reproductive ratio;   

DOI  :  10.1016/j.jtbi.2008.05.035

来源: Elsevier

【 摘 要 】

We explore the role of cellular life cycles for viruses and host cells in an infection process. For this purpose, we derive a generalized version of the basic model of virus dynamics (Nowak, M.A., Bangham, C.R.M., 1996. Population dynamics of immune responses to persistent viruses. Science 272, 74-79) from a mesoscopic description. In its final form the model can be written as a set of Volterra integrodifferential equations. We consider the role of distributed lifespans and a intracellular (eclipse) phase. These processes are implemented by means of probability distribution functions. The basic reproductive ratio R-0 of the infection is properly defined in terms of such distributions by using an analysis of the equilibrium states and their stability. It is concluded that the introduction of distributed delays can strongly modify both the value of R-0 and the predictions for the virus loads, so the effects on the infection dynamics are of major importance. We also show how the model presented here can be applied to some simple situations where direct comparison with experiments is possible. Specifically, phage-bacteria interactions are analyzed. The dynamics of the eclipse phase for phages is characterized analytically, which allows us to compare the performance of three different fittings proposed before for the one-step growth curve. (C) 2008 Elsevier Ltd. All rights reserved.

【 授权许可】

Free