FIG. 5.

Steady-state cluster concentration $c_n^{\infty }\left(s\right)$ and domain decomposition for computing the protein consumption rate. Green shading (darker is more concentrated) corresponds to increased steady-state concentration of mineral clusters of the particular size (given by horizontal axis) with the given number of attached FA proteins (given by the vertical axis). In the asymptotic case of strong shielding (Eq. (54)), an exponential decay of concentration is seen according to size. From this solution, an overall consumption rate of FA protein can be computed by summing over the attachment rates R_nj, where R_nj refers to the rate of protein consumption by clusters of n bound proteins of size s_j to s_j+1.