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Andrea Attili added M&M - rbe vs rho.tex
over 9 years ago
Commit id: a7faf0a053ce2f0b82d9fcd2efd14e1a19cd3d23
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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}
\text{RBE}_\alpha(\rho) = 1 + \frac{\Delta \text{RBE}_\text{exp}}{\rho_\text{exp}}
\end{equation}