32.1.116 Hill
Contents
Function
\[y=V_{\max }\frac{x^n}{k^n+x^n}\]
Brief Description
Hill function to determine ligand concentration and maximum number of binding sites.
Sample Curve
Parameters
Number: 3
Names: Vmax, k, n
Meanings: Vmax = unknown, k = unknown, n = unknown
Lower Bounds: Vmax > 0, k>0, n>0
Upper Bounds: none
Derived Parameters
The concentration for 10% response: EC10=k/9^(1/n)
The concentration for 20% response: EC20=k/4^(1/n)
The concentration for half-way response: EC50=k
The concentration for 80% response: EC80=k*4^(1/n)
The concentration for 90% response: EC90=k*9^(1/n)
Script Access
nlf_hill(x,Vmax,k,n)
Function File
FITFUNC\HILL.FDF
Category
Electrophysiology, Growth/Sigmoidal