deletions | additions       diff --git a/Seeing_that_the_number_of__.tex b/Seeing_that_the_number_of__.tex  index d966e1e..d81d748 100644  --- a/Seeing_that_the_number_of__.tex  +++ b/Seeing_that_the_number_of__.tex 
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Seeing that the number of GNPs inside cancerous cells depends upon the concentration of gold, gold  \textit{i.e.}, $\bar N_{GNP}=\bar N_{GNP}(\rho)$, N_\text{GNP} = \bar N_\text{GNP}(\rho)$,  the LEM-AM formulation formulations  can be used to predict the response of cells at different GNPs concentrations. Including By including  the saturation modeling (equation \ref{saturation}) in the analytical formulation, approximation,  the LEM-AM was used to reproduce the effect effects  of varying GNPs concentrations. concentrations were reproduced.  The ratio of survival at 0 and 4 Gy of gold relative to control as function gold concentration was calculated and fitted on experimental radiosensitization data to 160 kVp \cite{Jain_2011} (see and is shown in  figure \ref{concentration}). %Using \ref{fig_concentration}, panel A. Using  the same saturation curve obtained from the 160 kVp, curve,  reported in panel B, the effects at megavoltage energies were also extrapolated at different concentrations.