Delay effect in a model for virus replication.

J Tam

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PubMed · 10335599

Delay effect in a model for virus replication.

J Tam

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Abstract

As biology becomes more quantitative, it appears that the increasing use of mathematics in this area is inevitable. In 1996, Nowak & Bangham (1996, Science 272, 74-79) proposed three mathematical models to explore the relation between antiviral immune responses, virus load, and virus diversity. In this paper we investigate the delay effect in a model which considers the interaction between a replicating virus and host cells. We assume that there is a finite time lag between infection of a cell and the emission of viral particles. Even with the introduction of this delay, the steady states of the model--as suggested by Nowak & Bangham--remain stable. The result also gives a condition for how the parameter values should be chosen when analysing clinical data so that the model remains tenable.

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Humans Mathematics Models, Biological T-Lymphocytes, Cytotoxic Time Factors Virus Diseases Virus Replication Viruses Journal Article

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J Tam. 1999. Delay effect in a model for virus replication.. https://pubmed.ncbi.nlm.nih.gov/10335599/

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