deletions | additions       diff --git a/M&M - rbe.tex b/M&M - rbe.tex  index 175c7f1..a674b57 100644  --- a/M&M - rbe.tex  +++ b/M&M - rbe.tex 
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\text{RBE}_\alpha(\rho) = 1 + \frac{\Delta \text{RBE}_\text{exp}}{\rho_\text{exp}} \times \rho  \end{equation}  where $\Delta \text{RBE}_\text{exp}$ is the experimental observed $\Delta \text{RBE} = \text{RBE} - 1$ for $D \rightarrow 0$. Thus, using equation \ref{eq_rbe} and \ref{eq_rbe_rho}, the RBE produced by any concentration of nanoparticles can be easily evaluated from an experimental reference by changing the $\rho$ parameter. For higher gold concentrations an uptake saturation effect can be included in the model by assuming an asymptotic exponential behaviour: $\bar{N}_\text{GNP} \begin{equation}  \label{saturation}  \bar{N}_\text{GNP}  = k_1\times(1-\exp(-k_2\rho))$. k_1\times(1-\exp(-k_2\rho))  \end{equation}  Survival curves depending on the concentration can consequently be determined through the equivalent dose, defined as a RBE-weighted dose: