Journal article
Predicting the potential impact of a cytotoxic T-lymphocyte HIV vaccine: How often should you vaccinate and how strong should the vaccine be?
Mathematical biosciences, Vol.212(2), pp.180-187
2008
Handle:
https://hdl.handle.net/2376/116312
PMID: 18359048
Abstract
To stimulate the immune system’s natural defenses, a post-infection HIV vaccination program to regularly boost cytotoxic T-lymphocytes has been proposed. We develop a mathematical model to describe such a vaccination program, where the strength of the vaccine and the vaccination intervals are constant. We apply the theory of impulsive differential equations to show that the model has an orbitally asymptotically stable periodic orbit, with the property of asymptotic phase. We show that, on this orbit, the vaccination frequency can be chosen so that the average number of infected CD4
+ T cells can be made arbitrarily low. We illustrate the results with numerical simulations and show that the model is robust with respect to both the parameter choices and the formulation of the model as a system of impulsive differential equations.
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Details
- Title
- Predicting the potential impact of a cytotoxic T-lymphocyte HIV vaccine: How often should you vaccinate and how strong should the vaccine be?
- Creators
- Robert J Smith? - Department of Mathematics and Faculty of Medicine, The University of Ottawa, 585 King Edward Avenue, Ottawa, Ont., Canada K1N 6N5Elissa J Schwartz - Department of Mathematics and School of Biological Sciences, Washington State University PO Box 644236, Pullman, WA 99164-4236, USA
- Publication Details
- Mathematical biosciences, Vol.212(2), pp.180-187
- Academic Unit
- Biological Sciences, School of
- Publisher
- Elsevier Inc
- Identifiers
- 99900547584001842
- Language
- English
- Resource Type
- Journal article