Boltzmann

Contents 1 Function 2 Brief Description 3 Sample Curve 4 Parameters 5 Derived Parameters 6 Constraints 7 Script Access 8 Function File 9 Category

Function

\[y=\frac{A_1-A_2}{1+e^{(x-x_0)/dx}}+A_2\]

Brief Description

Boltzmann function - produces a sigmoidal curve.

Sample Curve

Parameter

Number: 4

Names: A1, A2, x0, dx

Meanings: A1 = initial value, A2 = final value, x0 = center, dx = time constant

Lower Bounds: none

Upper Bounds: none

Derived Parameters

The span: span=abs(A1-A2)

Half maximal effective concentration: EC50=exp(x0)

Constraints

dx ! = 0

Script Access

boltzman(x,A1,A2,x0,dx) 

Function File

FITFUNC\BOLTZMAN.FDF

Category

Origin - Basica Functions, Growth/Sigmoidal