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\subsubsection{} \subsubsection{Additive model approximation}  In order to have a full local dose distribution throughout a cell, the heterogeneities introduced by gold nanoparticles have to be added to the uniform background dose level delivered by photons which do not interact with the nanoparticles. A relatively simple approximation of the LEM, here called additive model (LEM-AM), was formulated by considering the contribution of different nanoparticles in the cells as non-synergistic. In this approximation it is assumed that a uniform distribution of gold nanoparticles inside the cell nucleus can be described as a system containing a certain number of nanoparticles which are independent to one another i.e., whose associated induced dose distributions do not overlap significantly with one another. This approximation is justified by the very low ionization rates estimated per GNP.