deletions | additions       diff --git a/section_Proofs_subsection_Bacterial_density__.tex b/section_Proofs_subsection_Bacterial_density__.tex  index 5d63d0e..b04c87a 100644  --- a/section_Proofs_subsection_Bacterial_density__.tex  +++ b/section_Proofs_subsection_Bacterial_density__.tex 
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The rate of change of the number of total ruffles over all cells depends on the number of total host cells, the primary attachment rate, the bacterial density and the probability of ruffle formation.  \begin{equation*}  \dot{N_R} = N \Gamma_0 \rho_B f = N \Gamma_0 f \left(\frac{bmc}{a}\right)  \end{equation*]