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Taylor Dunn edited section_Proofs_subsection_Bacterial_density__.tex
over 8 years ago
Commit id: 45d4e75e0cd2eae52a2254664a7fe13afab75063
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diff --git a/section_Proofs_subsection_Bacterial_density__.tex b/section_Proofs_subsection_Bacterial_density__.tex
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\subsection*{Rate of infectivity}
The rate of change of the number of infected host cells (i.e. $\geq$
1 bacteria have attached) depends on the number of remaining uninfected cells, the primary attachment rate and the bacteria density.
\begin{equation}
\dot{N_I} = \dot{x}N = (N - N_I) \Gamma_0 \rho_B = (N - N_I) \Gamma_0 \left(\frac{bmc}{a}\right)