Special Session 78: 

Modeling the Dynamics of HIV-1 Decline in Patients on Protease Inhibitor Monotherapy on Time Scales

Elvan Akin
Missouri S&T
USA
Co-Author(s):    Gulsah Yeni
Abstract:
The theory of time scales, nonempty closed subsets of real numbers, was first introduced by Stefan Hilger in 1988 in order to unify the continuous and discrete analysis. The continuous case of HIV-1 dynamics in vivo is modeled by systems of first order differential equations in 1996. Our main purpose in this study is to analyze patient data on continuous and discrete cases. To achieve our goal, we formulate initial value problems for modeling the dynamics of HIV-1 on time scales and calculate the total concentration of plasma virions on different time scales. Then, we use Mathlab with nonlinear least squares regression to fit these models to the data.