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

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

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

Angela Gallegos ^1, and Ami Radunskaya ^2,

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

Abstract
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Under a Creative Commons license

The activation of a specic immune response takes place in the lymphoid organs such as the spleen. We present here a simplied model of the proliferation of specic 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 eective immune response to a dendritic cell vaccine.

Keywords: Stability Analysis., Delay Dierential Equations.

Mathematics Subject Classification: Primary: 34K60, 37N25; Secondary: 92B05.

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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