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Fig. 2 | Cancer Nanotechnology

Fig. 2

From: Dynamics of intracellular clusters of nanoparticles

Fig. 2

Steady-state structural density of nanoparticles in CL1-0 cells. The exact 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, \(x_0=2\), \(J=10.5\) s−1. The inset shows comparison of the number of endosomes with clusters containing 4–6, 7–12 and more than 12 GNPs 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 CL1-0 cells. The number of endosomes with clusters containing 4–6, 7–12 and more than 12 GNPs was calculated using the exact density \(n_{\text{st}}(x)\) (Eq. 11) as \(\sum _{i=4}^{6} n_{\text{st}}(i)\), \(\sum _{i=7}^{12}n_{\text{st}}(i)\) and \(\sum _{i=12}^{20}n_{\text{st}}(i)\), respectively. For asymptotic steady-state structural density (Eq. 13), the number of endosomes with clusters containing 4–6, 7–12 and more than 12 GNPs was calculated in the same way. Parameters were chosen such that the number of endosomes with more than 12 GNPs obtained with Eqs. (11) and (13) was similar

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