deletions | additions       diff --git a/M&M - rbe vs rho.tex b/M&M - rbe vs rho.tex  deleted file mode 100644  index 30c3dd3..0000000  --- a/M&M - rbe vs rho.tex  +++ /dev/null 
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In the case of low gold concentration, GNP saturation can be neglected and the average number of nanoparticles inside the cell nucleus is assumed to be proportional to the nominal GNPs concentration, $\bar{N}_\text{GNP} = k\rho$, where $\rho$ is the nominal concentration and $k$ is a cell dependent constant. It is possible to rescale the RBE as a function of a variable concentration from the values obtained by fitting $k$ via Eq. \ref{eq_analytical} to the experimental data observed for a specific nominal concentration $\rho_\text{exp}$. Explicitly  \begin{equation}\label{eq_rbe_rho}  \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 $D \rightarrow 0$, measured for the reference $\rho = \rho_\text{exp}$. Thus, using Eq. \ref{eq_rbe} and Eq. \ref{eq_rbe_rho}, the RBE produced by any concentration of nanoparticles can be easily evaluated from an experimental reference by changing the parameter $\rho$. For higher gold concentration a uptake saturation effect is included in the modeling by assuming an asymptotic exponential behaviour: $\bar{N}_\text{GNP} = k_1\times(1-\exp(-k_2\rho))$.  diff --git a/layout.md b/layout.md  index 67a6dd5..50f3f82 100644  --- a/layout.md  +++ b/layout.md 
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M&M - stochastic.tex  M&M - analytical.tex  M&M - rbe.tex  M&M - rbe vs rho.tex  M&M - equivalent dose.tex  M&M - TCP-NTCP.tex  M&M - uptake.tex