deletions | additions       diff --git a/M&M - analytical.tex b/M&M - analytical.tex  index f3f638d..b134a41 100644  --- a/M&M - analytical.tex  +++ b/M&M - analytical.tex 
...
\begin{equation}  S_\text{GNP} = (1-\phi_1-\phi_2) + \phi_1 \exp(-N_\text{leth}(1)) + \phi_2 \exp(-N_\text{leth}(2)) + \cdots  \end{equation}  where $N_\text{leth}(1)$ and $N_\text{leth}(2)$ are the average numbers of lethal events in cells that have experienced a single and a double ionization event from a GNP, respectively. The fraction of cells experiencing one and two ionizing events, \phi_1 and \phi_2, can be respectively expressed as  \begin{align}  \phi_1 &= \bar{N}_\text{ion} e^{-\bar{N}_\text{ion}} \\  \phi_2 &= \frac{\bar{N}_\text{ion}^2}{2} e^{-\bar{N}_\text{ion}}  \end{align}