Fig. 3
Steady-state structural density of nanoparticles in Beas-2B cells. The analytical stationary structural density (Eq. 11, the solid curve) and the asymptotic steady-state structural density (Eq. 13, the dashed-dotted curve) calculated with parameters \(K= 10^{-4}\) s−1, \(\gamma =1.5\cdot 10^{-3}\) s−1, \(x_0=2\), \(J=0.7\) s−1. The inset shows comparison of the number of endosomes with clusters containing 4–6 and 7–12 obtained using the exact density \(n_{\text{st}}(x)\) (Eq. 11) (red bars), asymptotic steady-state structural density (Eq. 13) (yellow bars) and the experimental data of Wang et al. (2016) (blue bars) (corresponding to number of spots after 8 h) for Beas-2B cells. The number of endosomes with clusters containing 4–6 and 7–12 GNPs was calculated using the exact density \(n_{\text{st}}(x)\) (Eq. 11) as \(\sum _{i=4}^{6} n_{\text{st}}(i)\) and \(\sum _{i=7}^{12}n_{\text{st}}(i)\). For asymptotic steady-state structural density (Eq. 13), the number of endosomes with clusters containing 4–6 and 7–12 GNPs was calculated in the same way