# American Institute of Mathematical Sciences

2011, 2011(Special): 467-474. doi: 10.3934/proc.2011.2011.467

## Do longer delays matter? The effect of prolonging delay in CTL activation

 1 Department of Mathematics, Loyola Marymount University, Los Angeles, CA, United States 2 Department of Mathematics, Pomona College, 610 N. College Ave., Claremont, CA 91711

Received  July 2010 Revised  April 2011 Published  October 2011

The activation of a speci c immune response takes place in the lymphoid organs such as the spleen. We present here a simpli ed model of the proliferation of speci c immune cells in the form of a single delay equation. We show that the system can undergo switches in stability as the delay is increased, and we interpret these results in the context of sustaining an e ective immune response to a dendritic cell vaccine.
Citation: Angela Gallegos, Ami Radunskaya. Do longer delays matter? The effect of prolonging delay in CTL activation. Conference Publications, 2011, 2011 (Special) : 467-474. doi: 10.3934/proc.2011.2011.467
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