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Probabilidad de Control del Tumor (TCP)
Description

Variables
Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$N^n$
N^n
Exponential $N^n$
-
$n$
n
Number
-
$N$
N
Número de celulas cancerigenas
-
$N$
N
Número total de pasos
-
$TCP$
TCP
Probabilidad de Control Tumoral TCP
-
$SF_n$
SF_n
Probabilidad de Sobrevivencia de Celulas
-

Calculations

First, select the equation:   to ,  then, select the variable:   to 
Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
Solved
Translated

 Variable   Given   Calculate   Target :   Equation   To be used


Equations

Examples

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)

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

(ID 4701)

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

(ID 4704)

ID:(740, 0)