deletions | additions       diff --git a/section_Proofs_subsection_Bacterial_density__.tex b/section_Proofs_subsection_Bacterial_density__.tex  index 1cf3d19..043e47a 100644  --- a/section_Proofs_subsection_Bacterial_density__.tex  +++ b/section_Proofs_subsection_Bacterial_density__.tex 
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The bacterial density $\rho_B$ is the number of bacteria per unit area, but is more helpful in terms of MOI and $b$.  \begin{equation*} \begin{equation}  \rho_B = \frac{N_B}{N} = \frac{b N_B(0)}{N (a_0 (A_c  / c)} \end{equation*} = \frac{bmc}{a_c}  \end{equation}