Fig. 5

Inhomogeneities in the trap pattern of a 100-box system can be reflected by the distributions of bound proteins long before the traps get saturated. Local numbers of bound proteins \(\rm{N}_{i,\rm{b}}(t)\) for binding affinity \(\kappa _\mathrm{bin}={2e-4\,.} \Delta t^{-1}\), diffusion rate \(\widetilde{D}={8.3e-2\,.} \Delta t^{-1}\), synthesis rate \(\alpha _\mathrm{syn}={2e-4\,.} \Delta t^{-1}\), and specific points in time as indicated in the figure legend. Numbers are normalized to the overall largest value of the local maximal numbers \(\rm{N}_\mathrm{i,b}^\mathrm{max}\) of bound proteins, i.e., \(\rm{N}_\mathrm{b}^\mathrm{max}=\max (\rm{N}_\mathrm{i,b}^\mathrm{max}: i=1,...,100)\). The local maximal numbers \(\rm{N}_\mathrm{i,b}^\mathrm{max}\) are equivalent to the local numbers of traps (solid blue line, “\(\infty \)”), i.e., the inhomogeneous trap pattern. The gray box indicates the area of protein synthesis