32.1.117 Hill1

Contents

Function

\[y = START+(END-START)\frac{x^n}{k^n+x^n}\]

Brief Description

Modified Hill function with offset.

Sample Curve

Hill1.png

Parameters

Number: 4

Names: START, END, k, n

Meanings: START = Start, END = End, k = Michaelis constant, n = Cooperative sites (Hill coefficient)

Lower Bounds: 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_Hill1(x,START,END,k,n)

Function File

FITFUNC\HILL1.FDF

Category

Growth/Sigmoidal