28.1.105 Logistic5

Function

y = Amin + \frac{Amax - Amin}{\left(1 + \left(\frac{x}{x_0}\right)^{-h}\right)^s}

Brief Description

Five parameters logistic function.

Sample Curve

Logistic5.png

Parameters

Number: 5

Names: Amin, Amax, x0, h, s

Meanings: Amin = Lower Asymmetry, Amax = Upper Asymmetry, x0 = X of Half Y, h = Hill Slope, s = Control Factor

Lower Bounds: s > 0.0

Upper Bounds: none

Derived Parameters

EC50=\frac{x_0}{10^{\frac{1}{h}\log(2^{\frac{1}{s}} - 1)}}

Script Access

nlf_Logistic5(x,Amin,Amax,x0,h,s)

Function File

FITFUNC\LOGISTIC5.FDF

Category

Growth/Sigmoidal