deletions | additions       diff --git a/M&M - LEM.tex b/M&M - LEM.tex  index be6c111..784d10b 100644  --- a/M&M - LEM.tex  +++ b/M&M - LEM.tex 
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Assuming a Poisson statistics, for an uniform dose D, the damage which occurs within the cell can be described as $S(D) = \exp(-N_\text{leth}(D))$, where $S$ is the cell survival probability and $N_\text{leth}$ the average yield of lethal lesions. In the framework of a Linear Quadratic (LQ) parametrization, the number of lethal lesions caused by a uniform dose is $N_\text{leth}(D) = -\ln(S) = \alpha D + \beta D^2$, where $\alpha$ and $\beta$ are the cell type and radiation specific LQ parameters. The LEM evaluates the total number of lethal lesions $N_\text{leth}$ induced by the inhomogeneous energy deposition by introducing a LQ parametrization also for the local effect, which are integrated over the cell nucleus volume  \begin{equation}  \label{eqn:eq_lem} \label{eq_lem}  N_\text{leth} = \int_{V_N} n_\text{leth}(D_r) \text{d}r = \int_{V_N} (\alpha_\gamma D_r + \beta_\gamma D_r^2) \frac{\text{d}r}{V_N}  \end{equation}