Probabilidad de Control del Cancer

Equation

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TCP=P(0)

ID:(4697, 0)



Application of the Sterling Approach

Equation

>Top, >Model


Therefore expressions such as N!/(Nn)! for N large (N\gg 1) and n small (N\gg n) can be approximated with

$u!\sim\sqrt{2\pi u}\left(\displaystyle\frac{u}{e}\right)^u$



with what you get with N\gg n

\displaystyle\frac{N!}{(N-n)!}\sim\displaystyle\frac{\sqrt{2\pi N}}{\sqrt{2\pi (N-n)}}\displaystyle\frac{N^N}{(N-n)^{N-n}}\displaystyle\frac{e^{N-n}}{e^N}\sim N^n

that is

$N^n\sim\displaystyle\frac{N!}{(N-n)!}$

ID:(4738, 0)



Probabilidad con el Modelo de Poisson

Equation

>Top, >Model


P_k(\lambda)=\displaystyle\frac{\lambda^k e^{-\lambda}}{k!}

ID:(4701, 0)



Probabilidad de Control Tumoral con Modelo L-Q

Equation

>Top, >Model


TCP(D)=e^{-SF}

ID:(4703, 0)



Probabilidad de Control Tumoral real

Equation

>Top, >Model


TCP=\prod_{i=1}^MP(D_i)^{v_i}

ID:(4704, 0)