30.1.30 DoubleBoltzmannDoubleBoltzmann-FitFunc
Function
![y=y_0+A\left[\frac{p}{1+e^{\frac{x-x_{01}}{k_1}}}+\frac{1-p}{1+e^{\frac{x-x_{02}}{k_2}}}\right]](//d2mvzyuse3lwjc.cloudfront.net/doc/en/UserGuide/images/DoubleBoltzmann/math-649e5dcc558a3cbe663ecabcca96fc0e.png?v=0 "y=y_0+A\left[\frac{p}{1+e^{\frac{x-x_{01}}{k_1}}}+\frac{1-p}{1+e^{\frac{x-x_{02}}{k_2}}}\right]")
Brief Description
Double Boltzmann Function, sum of two Boltzmann functions.
Sample Curve
Parameters
Number: 7
Names: y0, A, frac, x01, x02, k1, k2
Meanings: y0 = Offset, A = Span, frac = Fraction, x01 = Center, x02 = Center, k1 = Slope factor, k2 = Slope factor
Lower Bounds: frac > 0
Upper Bounds: frac < 1
Derived Parameters
Bottom asymptote:
A1=A*frac
Top asymptote:
A2=A*(1-frac)
The concentration at half response:
EC50_1=exp(x01)
EC50_2=exp(x02)
Script Access
nlf_DoubleBoltzmann(x,y0,A,frac,x01,x02,k1,k2)
Function File
FITFUNC\DOUBLEBOLTZMANN.FDF
Category
Growth/Sigmoidal
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