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

Pages: 467 - 474, Issue Special, September 2011

 Abstract        Full Text (500.8K)              

Angela Gallegos - Department of Mathematics, Loyola Marymount University, Los Angeles, CA, United States (email)
Ami Radunskaya - Department of Mathematics, Pomona College, 610 N. College Ave., Claremont, CA 91711, United States (email)

Abstract: 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.

Keywords:  Delay Di erential Equations, Stability Analysis.
Mathematics Subject Classification:  Primary: 34K60, 37N25; Secondary: 92B05

Received: July 2010;      Revised: April 2011;      Published: October 2011.