Approximation of the NTCP Function in the LKB Model

Equation

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The integral of the Gaussian can be approximated by the expression

$\displaystyle\frac{1}{\sqrt{2\pi}}\displaystyle\int_{-\infty}^t du\,e^{-u^2/2}=\displaystyle\frac{1}{1+e^{-0.07056 t^3 - .5976 t}}$



so it is necessary that in the first approximation the NTCP is:

$NTCP=\displaystyle\frac{1}{1+e^{-1.5976t-0.07056t^3}}$

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Lyman-Kutcher-Burman Simulator (NTCP)

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The NTCP according to the LKB model is diagrammed for different n, m and TD50.

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