TY - GEN
T1 - Eigenvalues and sensitivity analysis for a model of HIV-1 pathogenesis with an intracellular delay
AU - Yi, Sun
AU - Nelson, Patrick W.
AU - Ulsoy, A. Galip
PY - 2009
Y1 - 2009
N2 - During the past decade significant research has been aimed at better understanding for human immunodeficiency virus type 1 (HIV-1), and the use of mathematical modeling to interpret experimental results has made a significant contribution. However, time-delays, which play a critical role in various biological models, are still not amenable to many traditional analysis methods. In this paper, we apply a recently developed approach using the Lambert Wfunction to handle the time delay in a HIV-1 pathogenesis dynamic model. Dominant eigenvalues in the infinite eigenspectrum of these time-delay systems are obtained and used to understand the effects of the parameters of the model on the immune system. Also, the result is extended to analyze the sensitivity of the eigenvalues with respect to the parameters in the HIV-1 model. The research makes it possible to know which parameters are more influential than others, and the obtained information is used to investigate the HIV-1 dynamic system analytically. Copyright © 2008 by ASME.
AB - During the past decade significant research has been aimed at better understanding for human immunodeficiency virus type 1 (HIV-1), and the use of mathematical modeling to interpret experimental results has made a significant contribution. However, time-delays, which play a critical role in various biological models, are still not amenable to many traditional analysis methods. In this paper, we apply a recently developed approach using the Lambert Wfunction to handle the time delay in a HIV-1 pathogenesis dynamic model. Dominant eigenvalues in the infinite eigenspectrum of these time-delay systems are obtained and used to understand the effects of the parameters of the model on the immune system. Also, the result is extended to analyze the sensitivity of the eigenvalues with respect to the parameters in the HIV-1 model. The research makes it possible to know which parameters are more influential than others, and the obtained information is used to investigate the HIV-1 dynamic system analytically. Copyright © 2008 by ASME.
M3 - Conference contribution
BT - 2008 ASME Dynamic Systems and Control Conference, DSCC 2008
ER -
