Druyd:Knowledge

Probabilidad de Complicaciones en Tejido Normal (NTCP)

Storyboard

>Model

ID:(741, 0)

Analysis of tissue fraction and dose

Definition

ID:(2714, 0)

Lyman-Kutcher-Burman Model (NTCP)

Image

ID:(2715, 0)

Calculation of DVH

Note

ID:(1501, 0)

Calculation of DVH

Quote

ID:(2718, 0)

Chance of Complications in Normal Tissue (NTCP)

Exercise

ID:(1499, 0)

Chance of complications in Normal Tissue (NTCP)

Equation

ID:(2713, 0)

Probabilidad de Complicaciones en Tejido Normal (NTCP)

Description

Variables

Symbol

Text

Variable

Value

Units

Calculate

MKS Value

MKS Units

$D_1$

D_1

Dosis 1

$D_2$

D_2

Dosis 2

$D_3$

D_3

Dosis 3

$D_4$

D_4

Dosis 4

$D_5$

D_5

Dosis 5

$TD_{50}$

TD_50

Dosis Critica $50%$

$D_{eff}$

D_eff

Dosis Efectiva del Modelo LKB

$m$

Factor $m$ Pendiente de la Curva del Modelo LKB

$n$

Factor $n$ del Exponente del Modelo LKB

$t$

Factor $t$ de la Distribución del Modelo LKB

$v_4$

v_4

Factor de Volumen de Voxels de Dosis 4

$v_5$

v_5

Factor de Volumen de Voxels de Dosis 5

$v_i$

v_i

Fracción de Volumen (voxels)

$NTCP$

NTCP

Probabilidad de Complicaciones en Tejido sano (NTCP)

$NTCP_1$

NTCP_1

Probabilidad de complicaciones en tejido sano (NTCP), órgano 1

$NTCP_2$

NTCP_2

Probabilidad de complicaciones en tejido sano (NTCP), órgano 2

$V_i$

V_i

Volumen de Voxels $i$

m^3

$v_1$

v_1

Volumen de Voxels 1

$v_2$

v_2

Volumen de Voxels 2

m^3

$v_3$

v_3

Volumen de Voxels 3

$V$

Volumen Total Irradiado

m^3

Calculations

Equation

Number

First, select the equation:

, then, select the variable:

Symbol

Equation

Solved

Translated

Calculations

Symbol

Equation

Solved

Translated

Variable

Given

Calculate

Target :

Equation

To be used

Equations

$NTCP=\displaystyle\frac{1}{\sqrt{2\pi}}\int_{-\infty}^t e^{-u^2/2}du$

NTCP=\displaystyle\frac{1}{\sqrt{2\pi}}\int_{-\infty}^t e^{-u^2/2}du

(ID 4699)

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

NTCP=1/(1+e^(-1.5976t-0.07056t^3))

(ID 4700)

$D_{eff}=\left(\sum_iv_iD_i^{1/n}\right)^n$

D_{eff}=\left(\sum_iv_iD_i^{1/n}\right)^n

(ID 4708)

$NTCP(D,v)=e^{-N_0v^{-k}P_n}$

NTCP(D,v)=e^{-N_0v^{-k}P_n}

(ID 4709)

$ t =\displaystyle\frac{ D_{eff} - TD_{50} }{ mTD_{50} }$

t =\displaystyle\frac{ D_{eff} - TD_{50} }{ mTD_{50} }

(ID 4846)

$ v_i =\displaystyle\frac{ V_i }{ V }$

v_i =\displaystyle\frac{ V_i }{ V }

(ID 4847)

$D_{eff}=\left(v_1D_1^{1/n}+v_2D_2^{1/n}\right)^n$

D_{eff}=\left(v_1D_1^{1/n}+v_2D_2^{1/n}\right)^n

(ID 4848)

$D_{eff}=\left(v_1D_1^{1/n}+v_2D_2^{1/n}+v_3D_3^{1/n}\right)^n$

D_{eff}=\left(v_1D_1^{1/n}+v_2D_2^{1/n}+v_3D_3^{1/n}\right)^n

(ID 4849)

$D_{eff}=\left(v_1D_1^{1/n}+v_2D_2^{1/n}+v_3D_3^{1/n}+v_4D_4^{1/n}\right)^n$

D_eff=(v_1D_1^1/n+v_2D_2^1/n+v_3D_3^1/n+v_4D_4^1/n)^n

(ID 8111)

$D_{eff}=\left(v_1D_1^{1/n}+v_2D_2^{1/n}+v_3D_3^{1/n}+v_4D_4^{1/n}+v_5D_5^{1/n}\right)^n$

D_eff=(v_1D_1^1/n+v_2D_2^1/n+v_3D_3^1/n+v_4D_4^1/n+v_5D_5^1/n)^n

(ID 8112)

$D_{eff}=D_i$

D_{eff}=D_i

(ID 9037)

$NTCP=1-\prod_i(1-NTCP_i)$

NTCP=1-\prod_i(1-NTCP_i)

(ID 9038)

$NTCP=1-(1-NTCP_1)(1-NTCP_2)$

NTCP=1-(1-NTCP_1)(1-NTCP_2)

(ID 9039)

Examples

Analysis of tissue fraction and dose

(ID 2714)

Lyman-Kutcher-Burman Model (NTCP)

The Lyman-Kutcher-Burman model seeks to estimate the probability of complications in healthy tissue (NTCP) by delivering a probability curve according to the dose:

(ID 2715)

Calculation of DVH

(ID 1501)

Calculation of DVH

(ID 2718)

Chance of Complications in Normal Tissue (NTCP)

(ID 1499)

Chance of complications in Normal Tissue (NTCP)

(ID 2713)

ID:(741, 0)