Delay effect in a model for virus replication

Authors
Citation
J. Tam, Delay effect in a model for virus replication, IMA J MATH, 16(1), 1999, pp. 29-37
Citations number
8
Categorie Soggetti
Multidisciplinary
Journal title
IMA JOURNAL OF MATHEMATICS APPLIED IN MEDICINE AND BIOLOGY
ISSN journal
02650746 → ACNP
Volume
16
Issue
1
Year of publication
1999
Pages
29 - 37
Database
ISI
SICI code
0265-0746(199903)16:1<29:DEIAMF>2.0.ZU;2-X
Abstract
As biology becomes more quantitative, it appears that the increasing use of mathematics in this area is inevitable. In 1996, Nowak & Bangham (1996, Sc ience 272, 74-79) proposed three mathematical models to explore the relatio n between antiviral immune responses, virus load, and virus diversity. In t his paper we investigate the delay effect in a model which considers the in teraction 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 t he model-as suggested by Nowak Br Bangham-remain stable. The result also gi ves a condition for how the parameter values should be chosen when analysin g clinical data so that the model remains tenable.