Skip Navigation

Mathematical Medicine and Biology 1999 16(1):29-37; doi:10.1093/imammb/16.1.29
© 1999 by Institute of Mathematics and its Applications
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in PubMed
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by TAM, J.
Right arrow Search for Related Content
PubMed
Right arrow PubMed Citation
Right arrow Articles by TAM, J.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Delay effect in a model for virus replication

JUDY TAM{dagger}

Department of Applied Mathematics, The Hong Kong Polytechnic University Hung Hom, Kowloon, Hong Kong

{dagger}E-Mail: MAJUDYTH{at}SMTPGWY.POLYU.EDU.HK

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.

Keywords: delay effect; virus replication; stability


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.