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

Angela Gallegos; Ami Radunskaya

doi:10.3934/proc.2011.2011.467

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2011, Volume 2011: 467-474. Doi: 10.3934/proc.2011.2011.467 open access

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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
2.
Department of Mathematics, Pomona College, 610 N. College Ave., Claremont, CA 91711

Received: June 30, 2010

Revised: March 31, 2011

Published: August 2017

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Abstract

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:

Delay Dierential Equations,
Stability Analysis.

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

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