Andrea Attili edited M&M - LEM-AM.tex  over 9 years ago

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= {S_\gamma} \times_{MF} \prod_{j=1}^{N_\text{GNP}} S^{(j)}_\text{GNP}  \end{equation}  where $N_\text{GNP}$ is the number of nanoparticles contained in the nucleus, and $S_\gamma$ and $S^{(j)}_\text{GNP}$ represent the survival fractions following the irradiation of cells containing no nanoparticles and the survival rate due to secondary electrons from a single gold nanoparticle in the cell, respectively. The notation "$\times_{MF}$" indicates that a mixed field formalism \cite{Zaider_1980,Suzuki_1997} is used to combine synergistically the whole GNPs contribution ($S_\text{GNP}$) to the photons. photons ($S_\gamma$).