Effect of Mutation on Helper T-cells and Viral Population: A Computer Simulation Model for HIV
Physics and Astronomy
Mathematics and Natural Sciences
A Monte Carlo simulation is proposed to study the dynamics of helper T-cells (N H) and viral (N V) populations in an immune response model relevant to HIV. Cellular states are binary variables and the interactions are described by logical expressions. Viral population shows a nonmonotonic growth before reaching a constant value while helper T-cells grow to a constant after a relaxation/reaction time. Initially, the population of helper cells grows with time with a power-law, N H ∼t β, before reaching the steady-state; the growth exponent β increases systematically (β ≈ 1 – 2) with the mutation rate (P mut≈0.1–0.4). The critical recovery time (t c) increases exponentially with the viral mutation, t c≈Ae αP mut , with α=4.52±0.29 in low mutation regime and α=15.21±1.41 in high mutation regime. The equilibrium population of helper T-cell declines slowly with P mut and collapses at ∼ 0.40; the viral population exhibits a reverse trend, i.e., a slow increase before the burst around the same mutation regime.
Theory in Biosciences
Pandey, R. B.
(2000). Effect of Mutation on Helper T-cells and Viral Population: A Computer Simulation Model for HIV. Theory in Biosciences, 119(1), 10-19.
Available at: https://aquila.usm.edu/fac_pubs/4240