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$\Gamma_b \equiv $ ruffle recruitment rate per bacterial density, per ruffle  \noindent Once attached, a bacterium can cause ruffling ruffling, invade the host cell and stay vacuolar,  or invade the host cell. cell and escape into the cytosol.  $\Gamma_r \equiv $ ruffle formation rate per attached bacteria, per host cell  $\Gamma_v \equiv $ vacuolar  invasion ratevia SCV  per attached bacteria, per host cell \noindent And finally, once internalized, a bacterium may escape the vacuole and enter the cytosol. $\Gamma_c \equiv $ escape cytosolic invasion  rate per vacuolar bacteria attached bacteria, per host cell  \noindent There is evidence that suggests a physical limit to the number of ruffles per cell $\tilde{r}_{\rm max}$, and the number of invaded bacteria per cell $\tilde{b}_{x, \rm max}$, so we define the following effective rates.