deletions | additions       diff --git a/subsubsection_TCP_NTCP_models_One__.tex b/subsubsection_TCP_NTCP_models_One__.tex  index 742436b..533844c 100644  --- a/subsubsection_TCP_NTCP_models_One__.tex  +++ b/subsubsection_TCP_NTCP_models_One__.tex 
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The model used to quantify the TCP is based on Poisson distribution assumptions \cite{Munro_1961}, which take into account the tumor characteristics and organ architecture \cite{K_llman_1992}, and is also able to evaluate individual response to radiation and directly use the cell survival probability computed at the voxel level  \begin{equation}  \label{tcp} %\label{tcp}  \text{TCP} = \exp\left( -\text{d}v_i \sum_{i \in V} n_i \right)  \end{equation} 
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A phenomenological method to estimate the NTCP values for both uniform and nonuniform irradiation of many critical tissues is provided by the Lyman-Kutcher-Burman (LKB) model [Lyman 1985, Kutcher and Burman 1989, Mohan et al 1992, Deasy 2000, Li et al. 2003, and Luxton et al. 2008], which can be described by three equations:  \begin{eqnarray} \begin{align}  \label{ntcp}  \text{NTCP} &= \frac{1}{\sqrt{2\pi}} \int_{-\infty}^{t} e \end{eqnarray} \\  t  \end{align}