32.1.50 DoseResp5P

Function

\(y =A_1 + \frac{A_2-A_1}{(10^{p(\text{LogXb}-x)}+1)^s} \)
\(\text{where} \; \text{LogXb} = \text{LogEC50} + \frac{\text{log10}(2^{1/s}-1)}{p} \)

Dose-response curve with variable Hill slope and asymmetry factor.

Number: 5

Names: A1, A2, LogEC50, p, s

Meanings: A1=bottom asymptote, A2=top asymptote, LogEC50=center, p=Hill slope, s=asymmetry factor

Lower Bounds: s>0

Upper Bounds: none

span=abs(A1-A2)

EC20=10^(LogEC50 + (log(2^(1.0/s)-1.0) - log(5^(1.0/s)-1.0))/p)

EC50=10^LogEC50

EC80=10^(LogEC50 + (log(2^(1.0/s)-1.0) - log(1.25^(1.0/s)-1.0))/p)

EC10=10^(LogEC50 + (log(2^(1.0/s)-1.0) - log(10^(1.0/s)-1.0))/p)

EC90=10^(LogEC50 + (log(2^(1.0/s)-1.0) - log((10.0/9)^(1.0/s)-1.0))/p)

nlf_DoseResp5P(x,A1,A2,LogEC50,p,s)

DoseResp5P.fdf