Stochastic Model of Virus–Endosome Fusion and Endosomal Escape of pH-Responsive Nanoparticles

In this paper, we set up a stochastic model for the dynamics of active Rab5 and Rab7 proteins on surface endosomes acidification process that govern virus–endosome fusion endosomal escape pH-responsive nanoparticles. We employ well-known cut-off switch to conversion consider two random terms: white Gaussian Poisson noises with zero mean. derive governing equations joint probability density function pH, proteins. obtain numerically marginal describing fluctuations pH. calculate having pH level inside endosome below critical threshold therefore percentage viruses nanoparticles escaping endosomes. Our results are in good qualitative agreement experimental data viral escape.