deletions | additions       diff --git a/M&M - rbe.tex b/M&M - rbe.tex  index 7d7930d..372946a 100644  --- a/M&M - rbe.tex  +++ b/M&M - rbe.tex 
...
\end{equation}  where $D_\gamma$ is the the dose delivered by the gamma radiation to the cell in the absence of nanoparticles that produces the same survival $S$ obtained by irradiating the same cells with a dose $D_\text{GNP}$ in presence of nanoparticles.  By using Eq. \ref{eq_analytical} a relatively simple expression of the RBE can be derived  \begin{equation}  \text{RBE} = \frac{R}{2D}\left( -1 + \sqrt{1 + \frac{4}{R}\left(\text{RBE}_\alpha D + \frac{D^2}{R}\right)} \right)  \end{euquation}