Equilibrium Time, Permutation, Multiscale and Modified Multiscale Entropies for Low-High Infection Level Intracellular Viral Reaction Kinetics

Kinetics Monte Carlo simulation has been done for solving Master equation for intracellular viral reaction kinetics. There is scaling relationship between reaction equilibrium time and initial population of template species in intracellular viral reaction kinetics. Kinetics Monte Carlo result shows that mathematical presentation between initial population of template species and reaction equilibrium time is f eq time (N) = aNb (a = 163.1, b = -0.1429 ), where N , feq time(N) are initial population of template species and reaction equilibrium time respectively. Kinetics Monte Carlo shows that increasing initial population of template species decreases the reaction equilibrium time. Initial population for template species with range 1 ≤Temp ≤ 4; Temp=5; 6 ≤Temp ≤10 are called low, medium and high infection level in intracellular viral kinetics reaction respectively. Entropy generation has been considered in low, intermediate and high infection level of intracellular viral reaction kinetics in during dynamical population. Permutation, multiscaling and modified multiscaling entropies have been calculated for species, genome, structural protein, and template species. Dependency of permutation entropy on permutation order is small in high infection level. At short time scale, convergency of permutation entropy occurs with medium permutation order value. In the big time scale, permutation entropy H(n) scales with permutation order n as a scaling relation H (n )=nα (α =0.30) . Three different trends for low, medium and high infection level observed for multiscaling entropy of template species versus scaling factor. Nonmonotonic behavior for permutation entropy versus time could be observed for structural protein species.