Mathematical Modelling of the Accumulation Kinetics of Silver Nanoparticles in a Mammalian Organism

The paper proposes a mathematical model of silver nanoparticles biokinetics in an organism of laboratory mice using the concept of physiologically based pharmacokinetic modeling and previously obtained by high-precision method of instrumental neutron activation analysis of the experimental data. Analytical and numerical solutions for this model were calculated. The applicability of different assumptions is considered and justified. The obtained solutions were analyzed and the biokinetic constants of transition rates, plateau times, mass contents of stable equilibrium were calculated. Numerical parameters have been compared with previously obtained parameters in another paper on the biokinetics of silver nanoparticles of the same brand. It is concluded that the proposed approach is well applicable to the modeling of silver nanoparticles biokinetics in a living organism.