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\subsection{Counts}  $H $N  \equiv $ number of host cells $B $N_I  \equiv $ number of bacteria attached or invaded $ = B_a + B_x $ infected cells  $\quad B_{\rm tot} $N_B  \equiv $total  number of bacteriainoculated $ = B_a + B_x + B_u $  $R $N_R  \equiv $ number of ruffles $H_a $N_r  \equiv $ number of host or ruffling  cells with $\geq 1$ bacteria attached ($\geq 1 $ ruffles)  $H_x $t_{\mathrm{max}}  \equiv $ number of host cells with $\geq 1$ bacteria invaded total incubation time  $H_r \equiv $ number of host cells with $\geq 1$ ruffles \subsection{Fractions}  $B_{x, \rm max} \equiv $ maximum number of internalized bacteria per cell  $R_{\rm max} $m  \equiv $ maximum number multiplicity  of ruffles per host cell infection (MOI) $ = \frac{N_B(t=0)}{N}$  $t_{\mathrm{max}} $c  \equiv $ total invasion time confluency $ = \frac{N a}{L^2}$  \subsection{Fractions and Probabilities} $\quad a \equiv $ mean cellular area  $m $\quad L  \equiv $ multiplicity side length  of infection (MOI), i.e. the ratio of starting bacteria to host cells $ = \frac{B_{\rm tot}}{H}$  $a \equiv $ fraction of host cells with attached bacteria $ = \frac{H_a}{H}$  $x \equiv $ fraction of host cells infected $ = \frac{H_x}{H}$  $b \equiv $ fraction of bacteria that have attached or invaded a host $ = \frac{B}{B_{\rm tot}} = b_a + b_x$  $r \equiv $ fraction of host cells with ruffling ($\geq$ 1 ruffle) $ = \frac{H_r}{H}$  $f \equiv $ probability of an attached bacteria causing a ruffle to form square well  $f^{\rm *} $x  \equiv $ effective (limited) probability fraction  of ruffle formation host cells infected  $ = f (1 - \frac{R / H_r}{R_{\rm max }}) $ \frac{N_I}{N}$  $p $b  \equiv $ probability fraction  ofan attached  bacteria to invade the host (internalize) remaining (i.e. not landed on a host) $ = \frac{N_B}{N_B (0)}$  $\quad p^{\rm *} $f  \equiv $ effective (limited) probability fraction  of invasion $ = p (1 - \frac{B_x / H_x}{B_{x, \rm max }}) $ attached bacteria that form ruffles  $\quad p $r \equiv $ fraction of host cells with ruffling ($\geq$ 1 ruffle)  $c $\tilde{r}  \equiv $ confluency ruffles per cell  $ = \frac{H A}{L^2}$ \frac{N_R}{N}$  $\quad A $\tilde{b}_R  \equiv $ mean cellular area bacteria per ruffle  $\quad L \equiv $ side length of square well \tilde{b}_R(t=0) = 1$  \subsection*{Rates}  $\Gamma_a $\Gamma_0  \equiv $ primary attachment rate per bacterial density $\Gamma_r $\Gamma_1  \equiv $ ruffle recruitment rate per bacterial density