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Taylor Dunn edited section_Proofs_The_bacterial_density__.tex
over 8 years ago
Commit id: a3fb44142a592739088807a98a7486fa315dc39b
deletions | additions
diff --git a/section_Proofs_The_bacterial_density__.tex b/section_Proofs_The_bacterial_density__.tex
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--- a/section_Proofs_The_bacterial_density__.tex
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The bacterial density $\rho_B$ is the number of unattached, uninvaded bacteria $B_u$ per unit area, but is more helpful in terms of MOI and $b$.
\begin{equation}
\rho_B = \frac{B_u}{L^2} = \frac{(1-b) B_{\rm tot
}}{H }}{H_{\rm tot} A / c} = \frac{(1-b) mc}{A} = (1-b) m
\end{equation}
Where we have reduced our units for simplification by setting $c / A = 1$.